From 34021ad1bd8e3eb477cf94b7d6240908b25bcb14 Mon Sep 17 00:00:00 2001
From: Gao Wang <gaow@uchicago.edu>
Date: Tue, 14 Jan 2020 18:50:29 -0600
Subject: [PATCH] Add 'simple' prior method and release 0.9.0

---
 DESCRIPTION                                   |   2 +-
 R/compute_ss.R                                |   6 +-
 R/elbo_rss.R                                  |   1 +
 R/estimate_residual_variance.R                |   2 +
 R/set_R_attributes.R                          |   1 -
 R/set_X_attributes.R                          |   1 -
 R/single_effect_regression.R                  |  24 +-
 R/single_effect_regression_rss.R              |  20 +-
 R/single_effect_regression_ss.R               |   4 +-
 R/sparse_multiplication.R                     |   2 +
 R/susie.R                                     |   7 +-
 R/susie_rss.R                                 |   8 +-
 R/susie_ss.R                                  |   4 +-
 R/susie_trendfilter.R                         |   5 +-
 R/susie_utils.R                               |   1 +
 R/update_each_effect.R                        |   2 +-
 R/update_each_effect_rss.R                    |   1 +
 R/update_each_effect_ss.R                     |   1 +
 README.md                                     |  12 +-
 docs/LICENSE-text.html                        |  18 +-
 docs/articles/finemapping.html                |  65 ++--
 .../figure-html/unnamed-chunk-12-1.png        | Bin 26428 -> 25464 bytes
 .../figure-html/unnamed-chunk-14-1.png        | Bin 26396 -> 25446 bytes
 .../figure-html/unnamed-chunk-15-1.png        | Bin 25765 -> 24765 bytes
 .../figure-html/unnamed-chunk-5-1.png         | Bin 23845 -> 22850 bytes
 .../figure-html/unnamed-chunk-7-1.png         | Bin 28383 -> 27279 bytes
 .../finemapping_summary_statistics.html       |  58 ++--
 .../figure-html/unnamed-chunk-10-1.png        | Bin 25658 -> 24632 bytes
 .../figure-html/unnamed-chunk-11-1.png        | Bin 48279 -> 46065 bytes
 .../figure-html/unnamed-chunk-4-1.png         | Bin 23845 -> 22850 bytes
 .../figure-html/unnamed-chunk-6-1.png         | Bin 28383 -> 27279 bytes
 docs/articles/index.html                      |  18 +-
 docs/authors.html                             |  18 +-
 docs/index.html                               |  27 +-
 docs/pkgdown.css                              |  46 +--
 docs/pkgdown.js                               |  14 +-
 docs/pkgdown.yml                              |   4 +-
 .../reference/SER_posterior_e_loglik_rss.html |  18 +-
 docs/reference/compute_MXt.html               |  18 +-
 docs/reference/compute_Xty.html               |  18 +-
 docs/reference/compute_ss.html                |  30 +-
 .../reference/estimate_residual_variance.html |  18 +-
 .../estimate_residual_variance_ss.html        |  18 +-
 docs/reference/index.html                     |  90 +----
 docs/reference/loglik.html                    |  18 +-
 docs/reference/set_R_attributes.html          |  24 +-
 docs/reference/single_effect_regression.html  |  21 +-
 .../single_effect_regression_rss.html         |  30 +-
 .../single_effect_regression_ss.html          |  21 +-
 docs/reference/susie.html                     |  44 ++-
 docs/reference/susie_rss.html                 |  39 +--
 docs/reference/susie_slim.html                |  18 +-
 docs/reference/susie_suff_stat.html           | 327 ++++++++++++++++++
 docs/reference/update_each_effect.html        |  18 +-
 docs/reference/update_each_effect_rss.html    |  18 +-
 docs/reference/update_each_effect_ss.html     |  18 +-
 man/SER_posterior_e_loglik_rss.Rd             |   1 +
 man/compute_MXt.Rd                            |   1 +
 man/compute_Xty.Rd                            |   1 +
 man/compute_ss.Rd                             |   6 +-
 man/estimate_residual_variance.Rd             |   1 +
 man/estimate_residual_variance_ss.Rd          |   1 +
 man/loglik.Rd                                 |   1 +
 man/single_effect_regression.Rd               |   3 +-
 man/single_effect_regression_rss.Rd           |   2 +-
 man/single_effect_regression_ss.Rd            |   3 +-
 man/susie.Rd                                  |   6 +-
 man/susie_rss.Rd                              |   7 +-
 man/susie_slim.Rd                             |   1 +
 man/susie_suff_stat.Rd                        |  12 +-
 man/update_each_effect.Rd                     |   1 +
 man/update_each_effect_rss.Rd                 |   1 +
 man/update_each_effect_ss.Rd                  |   1 +
 tests/testthat/test_prior_weights.R           |   7 +-
 74 files changed, 665 insertions(+), 569 deletions(-)
 create mode 100644 docs/reference/susie_suff_stat.html

diff --git a/DESCRIPTION b/DESCRIPTION
index bd2f3aae..31667906 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -10,7 +10,7 @@ Description: The package implements a simple new way to perform
     effects are highly sparse (e.g. <20 non-zero effects in the vector
     $b$), although it is also useful to more general applications.
 Date: 2020-01-14
-Version: 0.8.1.0571
+Version: 0.9.0
 Authors@R: c(person("Gao","Wang",role=c("aut","cre"),
                     email="gaow@uchicago.edu"),
              person("Yuxin","Zou",role="aut"),
diff --git a/R/compute_ss.R b/R/compute_ss.R
index 9b1e7cf6..4e0afe94 100644
--- a/R/compute_ss.R
+++ b/R/compute_ss.R
@@ -1,8 +1,8 @@
-#' @title Compute the needed summary statistics for `susie_ss` from the 'raw' data
+#' @title Compute sufficient statistics from input data
 #' @param X an n by p matrix of covariates
 #' @param y an n vector
 #' @param standardize logical flag (default=TRUE) for whether to standardize columns of X to unit variance prior to fitting.
-#' @return a list with the input for `susie_ss`
+#' @return a list of sufficient statistics
 #' @importFrom methods as
 #' @export
 compute_ss = function(X, y, standardize = TRUE){
@@ -19,4 +19,4 @@ compute_ss = function(X, y, standardize = TRUE){
   yty = sum(y^2)
 
   return(list(XtX = XtX, Xty = Xty, yty = yty, n = n))
-}
+}
\ No newline at end of file
diff --git a/R/elbo_rss.R b/R/elbo_rss.R
index 81a6a141..19639ace 100644
--- a/R/elbo_rss.R
+++ b/R/elbo_rss.R
@@ -65,6 +65,7 @@ get_ER2_rss = function(R,z,s){
 #' @param r residuals
 #' @param Eb the posterior mean of b (p vector) (alpha * mu)
 #' @param Eb2 the posterior second moment of b (p vector) (alpha * mu2)
+#' @keywords internal
 SER_posterior_e_loglik_rss = function(R, Sigma, r,Ez,Ez2){
   eigenS = attr(Sigma,'eigenS')
   Dinv = 1/(eigenS$values)
diff --git a/R/estimate_residual_variance.R b/R/estimate_residual_variance.R
index f820834f..9eaa9723 100644
--- a/R/estimate_residual_variance.R
+++ b/R/estimate_residual_variance.R
@@ -2,6 +2,7 @@
 #' @param X an n by p matrix of covariantes
 #' @param Y an n vector of data
 #' @param s a susie fit
+#' @keywords internal
 estimate_residual_variance = function(X,Y,s){
   n = nrow(X)
   return( (1/n)* get_ER2(X,Y,s) )
@@ -14,6 +15,7 @@ estimate_residual_variance = function(X,Y,s){
 #' @param s a susie fit
 #' @param yty a scaler, Y'Y, where Y is centered to have mean 0
 #' @param n sample size
+#' @keywords internal
 estimate_residual_variance_ss = function(XtX,Xty,s,yty,n){
   return( (1/n)* get_ER2_ss(XtX,Xty,s,yty) )
 }
diff --git a/R/set_R_attributes.R b/R/set_R_attributes.R
index 08ac18fa..2d630841 100644
--- a/R/set_R_attributes.R
+++ b/R/set_R_attributes.R
@@ -3,7 +3,6 @@
 #' @param r_tol tolerance level for eigen value check of positive semidefinite matrix of R
 #' @return R with attribute e.g.
 #'         attr(R, 'eigenR') is the eigen decomposition of R.
-
 set_R_attributes = function(R, r_tol){
   if(is.null(attr(R, 'eigen')))
     eigenR = eigen(R, symmetric = TRUE)
diff --git a/R/set_X_attributes.R b/R/set_X_attributes.R
index 164fda92..658c5db1 100644
--- a/R/set_X_attributes.R
+++ b/R/set_X_attributes.R
@@ -7,7 +7,6 @@
 #'         attr(X, 'scaled:scale') is a p vector of column standard deviations of X if scale=TRUE, a p vector of 1s otherwise.
 #'         attr(X, 'd') is a p vector of column sums of X.standardized^2,
 #'         where X.standardized is the matrix X centered by attr(X, 'scaled:center') and scaled by attr(X, 'scaled:scale').
-
 set_X_attributes = function(X,
                              center = TRUE,
                              scale = TRUE) {
diff --git a/R/single_effect_regression.R b/R/single_effect_regression.R
index e6dac12d..bac3543d 100644
--- a/R/single_effect_regression.R
+++ b/R/single_effect_regression.R
@@ -23,8 +23,7 @@
 #' @importFrom stats uniroot
 #' @importFrom stats optim
 #' @importFrom Matrix colSums
-#'
-single_effect_regression = function(Y,X,V,residual_variance=1,prior_weights=NULL, optimize_V=c("none", "optim", "EM")){
+single_effect_regression = function(Y,X,V,residual_variance=1,prior_weights=NULL, optimize_V=c("none", "optim", "uniroot", "EM", "simple")){
   optimize_V = match.arg(optimize_V)
   Xty = compute_Xty(X, Y)
   betahat = (1/attr(X, "d")) * Xty
@@ -32,7 +31,7 @@ single_effect_regression = function(Y,X,V,residual_variance=1,prior_weights=NULL
   if (is.null(prior_weights))
     prior_weights = rep(1/ncol(X), ncol(X))
 
-  if(optimize_V=="optim") V=optimize_prior_variance(optimize_V, betahat, shat2, prior_weights, alpha=NULL, post_mean2=NULL)
+  if(optimize_V!="EM" && optimize_V!="none") V=optimize_prior_variance(optimize_V, betahat, shat2, prior_weights, alpha=NULL, post_mean2=NULL)
 
   lbf = dnorm(betahat,0,sqrt(V+shat2),log=TRUE) - dnorm(betahat,0,sqrt(shat2),log=TRUE)
   #log(bf) on each SNP
@@ -64,14 +63,16 @@ est_V_uniroot = function(betahat, shat2, prior_weights){
 }
 
 optimize_prior_variance = function(optimize_V, betahat, shat2, prior_weights, alpha=NULL, post_mean2=NULL){
-  if(optimize_V=="optim"){
-    lV = optim(par=log(max(c(betahat^2-shat2, 1), na.rm = TRUE)), fn=neg.loglik.logscale, betahat=betahat, shat2=shat2, prior_weights = prior_weights, method='Brent', lower = -30, upper = 15)$par
-    V = exp(lV)
-  }else if(optimize_V=="uniroot"){
-    V = est_V_uniroot(betahat, shat2, prior_weights)
-  }else if(optimize_V=="EM"){
-    V = sum(alpha*post_mean2)
-  }else stop('Invalid option for `optimize_V` method')
+  if (optimize_V != "simple") {
+    if(optimize_V=="optim"){
+      lV = optim(par=log(max(c(betahat^2-shat2, 1), na.rm = TRUE)), fn=neg.loglik.logscale, betahat=betahat, shat2=shat2, prior_weights = prior_weights, method='Brent', lower = -30, upper = 15)$par
+      V = exp(lV)
+    }else if(optimize_V=="uniroot"){
+      V = est_V_uniroot(betahat, shat2, prior_weights)
+    }else if(optimize_V=="EM"){
+      V = sum(alpha*post_mean2)
+    }else stop('Invalid option for `optimize_V` method')
+  }
   if(loglik(0,betahat,shat2,prior_weights) >= loglik(V,betahat,shat2,prior_weights)) V=0 # set V exactly 0 if that beats the numerical value
   return(V)
 }
@@ -81,6 +82,7 @@ optimize_prior_variance = function(optimize_V, betahat, shat2, prior_weights, al
 #' The log likelihood function for SER model (based on summary data betahat, shat2), as a function of prior variance V
 #' @importFrom Matrix colSums
 #' @importFrom stats dnorm
+#' @keywords internal
 loglik = function(V,betahat,shat2,prior_weights) {
 
   lbf = dnorm(betahat,0,sqrt(V+shat2),log=TRUE) - dnorm(betahat,0,sqrt(shat2),log=TRUE)
diff --git a/R/single_effect_regression_rss.R b/R/single_effect_regression_rss.R
index 65c0b8f9..5ec558c6 100644
--- a/R/single_effect_regression_rss.R
+++ b/R/single_effect_regression_rss.R
@@ -25,13 +25,13 @@
 #' \item{lbf_model}{(scalar) the loglikelihood for the total model minus the log-likelihood for the null model}
 #'
 #'
-single_effect_regression_rss = function(z,Sigma,V=1,prior_weights=NULL,optimize_V=c("none", "optim", "EM")){
+single_effect_regression_rss = function(z,Sigma,V=1,prior_weights=NULL,optimize_V=c("none", "optim", "uniroot", "EM", "simple")){
   p = length(z)
   shat2 = 1/attr(Sigma, 'RjSinvRj')
   if (is.null(prior_weights))
     prior_weights = rep(1/p, p)
 
-  if(optimize_V=="optim"){
+  if(optimize_V!="EM" && optimize_V!="none"){
     V=optimize_prior_variance_rss(optimize_V, z, Sigma, prior_weights, alpha=NULL, post_mean2=NULL)
   }
 
@@ -86,15 +86,17 @@ neg.loglik_z.logscale_rss = function(lV,z,Sigma,prior_weights){
 }
 
 optimize_prior_variance_rss = function(optimize_V, z, Sigma, prior_weights, alpha=NULL, post_mean2=NULL){
-  if(optimize_V=="optim"){
-    lV = optim(par=log(max(c((z^2) - (1/attr(Sigma, 'RjSinvRj')), 1e-6), na.rm = TRUE)),
+  if (optimize_V != "simple") {
+    if(optimize_V=="optim"){
+      lV = optim(par=log(max(c((z^2) - (1/attr(Sigma, 'RjSinvRj')), 1e-6), na.rm = TRUE)),
                fn=neg.loglik_z.logscale_rss,
                z=z, Sigma = Sigma, prior_weights = prior_weights,
                method='Brent', lower = -30, upper = 15)$par
-    V = exp(lV)
-  }else if(optimize_V=="EM"){
-    V = sum(alpha*post_mean2)
-  }else stop('Invalid option for `optimize_V` method')
+      V = exp(lV)
+    }else if(optimize_V=="EM"){
+      V = sum(alpha*post_mean2)
+    }else stop('Invalid option for `optimize_V` method')
+  }
   if(loglik_rss(0,z,Sigma,prior_weights) >= loglik_rss(V,z,Sigma,prior_weights)) V=0 # set V exactly 0 if that beats the numerical value
   return(V)
-}
+}
\ No newline at end of file
diff --git a/R/single_effect_regression_ss.R b/R/single_effect_regression_ss.R
index 964ab64e..89afd026 100644
--- a/R/single_effect_regression_ss.R
+++ b/R/single_effect_regression_ss.R
@@ -23,14 +23,14 @@
 #' @importFrom stats uniroot
 #' @importFrom stats optim
 #'
-single_effect_regression_ss = function(Xty,dXtX,V=1,residual_variance=1,prior_weights=NULL,optimize_V=c("none", "optim", "EM")){
+single_effect_regression_ss = function(Xty,dXtX,V=1,residual_variance=1,prior_weights=NULL,optimize_V=c("none", "optim", "uniroot", "EM", "simple")){
   optimize_V = match.arg(optimize_V)
   betahat = (1/dXtX) * Xty
   shat2 = residual_variance/dXtX
   if (is.null(prior_weights))
     prior_weights = rep(1/length(dXtX), length(dXtX))
 
-  if(optimize_V=="optim") V=optimize_prior_variance(optimize_V, betahat, shat2, prior_weights, alpha=NULL, post_mean2=NULL)
+  if(optimize_V!="EM" && optimize_V!="none") V=optimize_prior_variance(optimize_V, betahat, shat2, prior_weights, alpha=NULL, post_mean2=NULL)
 
   lbf = dnorm(betahat,0,sqrt(V+shat2),log=TRUE) - dnorm(betahat,0,sqrt(shat2),log=TRUE)
   #log(bf) on each SNP
diff --git a/R/sparse_multiplication.R b/R/sparse_multiplication.R
index 3f17dbd3..6592fa0a 100644
--- a/R/sparse_multiplication.R
+++ b/R/sparse_multiplication.R
@@ -24,6 +24,7 @@ compute_Xb = function(X, b){
 #' @return a p vector
 #' @importFrom Matrix t
 #' @importFrom Matrix crossprod
+#' @keywords internal
 compute_Xty = function(X, y){
   cm = attr(X, 'scaled:center')
   csd = attr(X, 'scaled:scale')
@@ -43,6 +44,7 @@ compute_Xty = function(X, y){
 #' @param X an n by p unstandardized matrix with three attributes: attr(X, 'scaled:center'), attr(X, 'scaled:scale'), and attr(X, 'd')
 #' @return a L by n matrix
 #' @importFrom Matrix t
+#' @keywords internal
 compute_MXt = function(M, X){
   cm = attr(X, 'scaled:center')
   csd = attr(X, 'scaled:scale')
diff --git a/R/susie.R b/R/susie.R
index 5ceb5977..5f00127a 100644
--- a/R/susie.R
+++ b/R/susie.R
@@ -67,10 +67,11 @@
 #'   point for the optimization. If \code{estimate_prior_variance = FALSE}
 #'   then the prior variance (for each of the \code{L} effects) is determined by the value
 #'   supplied to \code{scaled_prior_variance}.
-#
 #'
 #' @param estimate_prior_method The method used for estimating prior
-#'   variance.
+#' variance. "simple" method only compares the loglikelihood between
+#' using specified prior variance and using zero, and chose the one that
+#' gives larger loglikelihood.
 #'
 #' @param s_init A previous susie fit with which to initialize.
 #'
@@ -178,7 +179,7 @@ susie <- function(X,Y,L = min(10,ncol(X)),scaled_prior_variance = 0.2,
                  standardize=TRUE,intercept=TRUE,
                  estimate_residual_variance=TRUE,
                  estimate_prior_variance = TRUE,
-                 estimate_prior_method = c("optim","EM"),
+                 estimate_prior_method = c("optim","EM","simple"),
                  s_init = NULL,coverage=0.95,min_abs_corr=0.5,
                  compute_univariate_zscore = FALSE,
                  na.rm = FALSE, max_iter=100,tol=1e-3,
diff --git a/R/susie_rss.R b/R/susie_rss.R
index 26286d7f..651f86b9 100644
--- a/R/susie_rss.R
+++ b/R/susie_rss.R
@@ -19,7 +19,10 @@
 #' @param restrict whether to restrict the resiudal variance between 0 and 1
 #' @param estimate_residual_variance indicates whether to estimate residual variance
 #' @param estimate_prior_variance indicates whether to estimate prior
-#' @param estimate_prior_method The method used for estimating prior variance, 'optim' or 'EM'
+#' @param estimate_prior_method The method used for estimating prior
+#' variance. "simple" method only compares the loglikelihood between
+#' using specified prior variance and using zero, and chose the one that
+#' gives larger loglikelihood.
 #' @param max_iter maximum number of iterations to perform
 #' @param s_init a previous susie fit with which to initialize
 #' @param intercept_value a value to assign to the intercept (since the intercept cannot be estimated from centered summary data). This
@@ -50,7 +53,7 @@ susie_rss = function(z, R, maf=NULL, maf_thresh=0,
                      restrict = TRUE,
                      estimate_residual_variance = TRUE,
                      estimate_prior_variance = TRUE,
-                     estimate_prior_method = c("optim","EM"),
+                     estimate_prior_method = c("optim","EM","simple"),
                      max_iter=100,s_init = NULL, intercept_value=0,
                      coverage=0.95, min_abs_corr=0.5,
                      tol=1e-3, verbose=FALSE, track_fit = FALSE, check_R = TRUE, check_z = TRUE) {
@@ -122,7 +125,6 @@ susie_rss = function(z, R, maf=NULL, maf_thresh=0,
   R = set_R_attributes(R, r_tol)
   # initialize susie fit
   s = init_setup_rss(p,L,prior_variance,residual_variance,prior_weights,null_weight,1)
-
   if (!missing(s_init)) {
     s = modifyList(s, s_init)
     s = init_finalize_rss(s, R=R)
diff --git a/R/susie_ss.R b/R/susie_ss.R
index 4bd19a82..ac223bca 100644
--- a/R/susie_ss.R
+++ b/R/susie_ss.R
@@ -28,7 +28,7 @@
 #' @param residual_variance the residual variance (defaults to variance of y)
 #' @param estimate_residual_variance indicates whether to estimate residual variance
 #' @param estimate_prior_variance indicates whether to estimate prior
-#' @param estimate_prior_method The method used for estimating prior variance, 'optim' or 'EM'
+#' @param estimate_prior_method The method used for estimating prior variance.
 #' @param r_tol tolerance level for eigen value check of positive semidefinite matrix of R.
 #' @param prior_weights a p vector of prior probability that each element is non-zero
 #' @param null_weight probability of no effect, for each single effect model
@@ -85,7 +85,7 @@ susie_suff_stat = function(bhat, shat, R, n, var_y = 1,
                            residual_variance=NULL,
                            estimate_residual_variance = TRUE,
                            estimate_prior_variance = TRUE,
-                           estimate_prior_method = c("optim","EM"),
+                           estimate_prior_method = c("optim","EM","simple"),
                            r_tol = 1e-08,
                            prior_weights = NULL, null_weight = NULL,
                            standardize = TRUE,
diff --git a/R/susie_trendfilter.R b/R/susie_trendfilter.R
index ae6681ac..51aa70c9 100644
--- a/R/susie_trendfilter.R
+++ b/R/susie_trendfilter.R
@@ -69,7 +69,4 @@ susie_trendfilter = function(y, order=0, standardize=FALSE, use_mad=TRUE, ...){
 #' @keywords internal
 estimate_mad_residual_variance = function(y){
   return(0.5*(median(abs(diff(y))/0.6745)^2))
-}
-
-
-
+}
\ No newline at end of file
diff --git a/R/susie_utils.R b/R/susie_utils.R
index 7bcd309a..0440e4b3 100644
--- a/R/susie_utils.R
+++ b/R/susie_utils.R
@@ -462,6 +462,7 @@ susie_get_objective <- function(res, all = FALSE, warning_tol = 1E-6) {
 
 #' @title Slim the result of fitted SuSiE model
 #' @param res a susie fit, the output of `susieR::susie()`
+#' @keywords internal
 susie_slim = function(res){
   list(alpha = res$alpha, niter = res$niter, V = res$V, sigma2 = res$sigma2)
 }
diff --git a/R/update_each_effect.R b/R/update_each_effect.R
index e5c452b0..beedbdbe 100644
--- a/R/update_each_effect.R
+++ b/R/update_each_effect.R
@@ -3,7 +3,7 @@
 #' @param Y an n vector of response variable
 #' @param s a SuSiE fit
 #' @param estimate_prior_variance boolean indicating whether to estimate prior variance
-#'
+#' @keywords internal
 update_each_effect <- function (X, Y, s, estimate_prior_variance=FALSE,
                                 estimate_prior_method="optim") {
   if(estimate_prior_variance==FALSE) estimate_prior_method="none"
diff --git a/R/update_each_effect_rss.R b/R/update_each_effect_rss.R
index 8a00eb11..84524b60 100644
--- a/R/update_each_effect_rss.R
+++ b/R/update_each_effect_rss.R
@@ -5,6 +5,7 @@
 #' @param Sigma sigma2*R + lambda I
 #' @param estimate_prior_variance boolean indicating whether to estimate prior variance
 #' @importFrom Matrix diag
+#' @keywords internal
 update_each_effect_rss <- function (R, z, s_init, Sigma, estimate_prior_variance=FALSE,estimate_prior_method="optim") {
 
   if(estimate_prior_variance==FALSE) estimate_prior_method="none"
diff --git a/R/update_each_effect_ss.R b/R/update_each_effect_ss.R
index 4f9cc58c..ecfb16a2 100644
--- a/R/update_each_effect_ss.R
+++ b/R/update_each_effect_ss.R
@@ -5,6 +5,7 @@
 #' @param estimate_prior_variance boolean indicating whether to estimate prior variance
 #' @param estimate_prior_method The method used for estimating prior variance, 'optim' or 'EM'
 #' @importFrom Matrix diag
+#' @keywords internal
 update_each_effect_ss <- function (XtX, Xty, s_init, estimate_prior_variance=FALSE, estimate_prior_method="optim") {
   if(estimate_prior_variance==FALSE) estimate_prior_method="none"
   # Repeat for each effect to update
diff --git a/README.md b/README.md
index 9183182c..2e5e5570 100644
--- a/README.md
+++ b/README.md
@@ -45,7 +45,7 @@ To automatically retrieve and install `susieR` from this repository,
 with the vignettes included, run:
 
 ```R
-devtools::install_github("stephenslab/susieR@0.8.0",build_vignettes = TRUE)
+devtools::install_github("stephenslab/susieR@0.9.0",build_vignettes = TRUE)
 ```
 
 ## Quick Start
@@ -56,7 +56,7 @@ please visit https://stephenslab.github.io/susieR
 
 ## Developer notes
 
-+ When any changes are made to `roxygen2` markup, simply run 
++ When any changes are made to `roxygen2` markup, simply run
 `devtools::document()` to update package `NAMESPACE`
 and documentation files.
 
@@ -65,12 +65,12 @@ following commands in the shell:
 
     ```bash
     R CMD build --resave-data --no-build-vignettes susieR
-    R CMD INSTALL susieR_0.8.1.0525.tar.gz
-    R CMD check --as-cran --ignore-vignettes susieR_0.8.1.0525.tar.gz
+    R CMD INSTALL susieR_0.9.0.tar.gz
+    R CMD check --as-cran --ignore-vignettes susieR_0.9.0.tar.gz
     ```
 
 + Run `pkgdown::build_site()` to build the website. Getting `pkgdown`
-to work properly can be frustrating due to numerous & fragile dependencies. 
+to work properly can be frustrating due to numerous & fragile dependencies.
 If `pkgdown` does not work for you out of the box you can use this `docker`
 command to run all vignettes and build the site:
 
@@ -78,4 +78,4 @@ command to run all vignettes and build the site:
 docker run --rm --security-opt label:disable -t -P -w $PWD -v $PWD:$PWD \
   -u $UID:${GROUPS[0]} -e HOME=/home/$USER -e USER=$USER gaow/susie \
   R --slave -e "pkgdown::build_site(lazy=TRUE, examples=FALSE)"
-```
+```
\ No newline at end of file
diff --git a/docs/LICENSE-text.html b/docs/LICENSE-text.html
index abe07cab..065f9414 100644
--- a/docs/LICENSE-text.html
+++ b/docs/LICENSE-text.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="pkgdown.css" rel="stylesheet">
@@ -46,7 +44,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -63,7 +60,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0</span>
       </span>
     </div>
 
@@ -91,7 +88,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -127,23 +123,19 @@ <h1>License</h1>
 </div>
 
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/articles/finemapping.html b/docs/articles/finemapping.html
index e88d556b..acf95bb8 100644
--- a/docs/articles/finemapping.html
+++ b/docs/articles/finemapping.html
@@ -7,9 +7,8 @@
 <meta name="viewport" content="width=device-width, initial-scale=1.0">
 <title>Fine-mapping examples • susieR</title>
 <!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js" integrity="sha256-FgpCb/KJQlLNfOu91ta32o/NMZxltwRo8QtmkMRdAu8=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/css/bootstrap.min.css" integrity="sha256-916EbMg70RQy9LHiGkXzG8hSg9EdNy97GazNG/aiY1w=" crossorigin="anonymous">
-<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous">
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous">
-<!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet">
+<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous">
+<!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script><!-- sticky kit --><script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet">
 <script src="../pkgdown.js"></script><meta property="og:title" content="Fine-mapping examples">
 <meta property="og:description" content="">
 <meta name="twitter:card" content="summary">
@@ -31,7 +30,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -60,14 +59,13 @@
 <!--/.navbar -->
 
       
-
       </header><div class="row">
   <div class="col-md-9 contents">
     <div class="page-header toc-ignore">
       <h1>Fine-mapping examples</h1>
                         <h4 class="author">Gao Wang</h4>
             
-            <h4 class="date">2019-11-20</h4>
+            <h4 class="date">2020-01-14</h4>
       
       <small class="dont-index">Source: <a href="/stephenslab/susieR/blob/master/vignettes/finemapping.Rmd"><code>vignettes/finemapping.Rmd</code></a></small>
       <div class="hidden name"><code>finemapping.Rmd</code></div>
@@ -78,30 +76,30 @@ <h4 class="date">2019-11-20</h4>
     
 <p>This vignette demonstrates <code>susieR</code> in the context of genetic fine-mapping. We use simulated data of expression level of a gene (<span class="math inline">\(y\)</span>) in <span class="math inline">\(N \approx 600\)</span> individuals. We want to identify with the genotype matrix <span class="math inline">\(X_{N\times P}\)</span> (<span class="math inline">\(P=1000\)</span>) the genetic variables that causes changes in expression level.</p>
 <p>The simulated data-set is <a href="/stephenslab/susieR/blob/master/inst/datafiles/N3finemapping.rds">available here</a>, as part of the <code>susieR</code> package. It is simulated to have exactly 3 non-zero effects.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/library.html">library</a></span>(susieR)
-<span class="kw"><a href="https://rdrr.io/r/base/Random.html">set.seed</a></span>(<span class="dv">1</span>)</code></pre></div>
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">library</a></span>(susieR)
+<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Random">set.seed</a></span>(<span class="dv">1</span>)</code></pre></div>
 <div id="the-data-set" class="section level2">
 <h2 class="hasAnchor">
 <a href="#the-data-set" class="anchor"></a>The data-set</h2>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/utils/data.html">data</a></span>(N3finemapping)
-<span class="kw"><a href="https://rdrr.io/r/base/attach.html">attach</a></span>(N3finemapping)</code></pre></div>
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/utils/topics/data">data</a></span>(N3finemapping)
+<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/attach">attach</a></span>(N3finemapping)</code></pre></div>
 <p><code>data</code> contains regression data-set <span class="math inline">\(X\)</span> and <span class="math inline">\(y\)</span>, along with some other relevant properties in the context of genetic studies. It also contains the “true” regression coefficent the data is simulated from.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/names.html">names</a></span>(data)
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/names">names</a></span>(data)
 <span class="co"># [1] "X"                 "chrom"             "pos"              </span>
 <span class="co"># [4] "true_coef"         "residual_variance" "Y"                </span>
 <span class="co"># [7] "allele_freq"       "V"</span></code></pre></div>
 <p>Notice that we’ve simulated 2 sets of <span class="math inline">\(Y\)</span> as 2 simulation replicates. Here we’ll focus on the first data-set.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/dim.html">dim</a></span>(data$Y)
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/dim">dim</a></span>(data$Y)
 <span class="co"># [1] 574   2</span></code></pre></div>
 <p>Here are the 3 “true” signals in the first data-set:</p>
 <div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">b &lt;-<span class="st"> </span>data$true_coef[,<span class="dv">1</span>]
-<span class="kw"><a href="https://rdrr.io/r/graphics/plot.html">plot</a></span>(b, <span class="dt">pch=</span><span class="dv">16</span>, <span class="dt">ylab=</span><span class="st">'effect size'</span>)</code></pre></div>
+<span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(b, <span class="dt">pch=</span><span class="dv">16</span>, <span class="dt">ylab=</span><span class="st">'effect size'</span>)</code></pre></div>
 <div class="figure" style="text-align: center">
 <img src="finemapping_files/figure-html/unnamed-chunk-5-1.png" alt="&amp;nbsp;" width="600"><p class="caption">
  
 </p>
 </div>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/which.html">which</a></span>(b !=<span class="st"> </span><span class="dv">0</span>)
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/which">which</a></span>(b !=<span class="st"> </span><span class="dv">0</span>)
 <span class="co"># [1] 403 653 773</span></code></pre></div>
 <p>So the underlying causal variables are 403, 653 and 773.</p>
 </div>
@@ -148,13 +146,12 @@ <h2 class="hasAnchor">
 <span class="co"># [1] "objective:-1381.13343270768"</span>
 <span class="co"># [1] "objective:-1381.13113705137"</span>
 <span class="co"># [1] "objective:-1381.1311369139"</span>
-<span class="co"># [1] "objective:-1381.13106293455"</span>
-<span class="co"># [1] "objective:-1381.13106291271"</span></code></pre></div>
+<span class="co"># [1] "objective:-1381.13106293455"</span></code></pre></div>
 <div id="credible-sets" class="section level3">
 <h3 class="hasAnchor">
 <a href="#credible-sets" class="anchor"></a>Credible sets</h3>
 <p>By default, we output 95% credible set:</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/print.html">print</a></span>(fitted$sets)
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(fitted$sets)
 <span class="co"># $cs</span>
 <span class="co"># $cs$L3</span>
 <span class="co"># [1] 653</span>
@@ -184,7 +181,7 @@ <h3 class="hasAnchor">
                      <span class="dt">X =</span> data$X,
              <span class="dt">coverage =</span> <span class="fl">0.9</span>,
                      <span class="dt">min_abs_corr =</span> <span class="fl">0.1</span>)</code></pre></div>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/print.html">print</a></span>(sets)
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(sets)
 <span class="co"># $cs</span>
 <span class="co"># $cs$L3</span>
 <span class="co"># [1] 653</span>
@@ -221,9 +218,9 @@ <h3 class="hasAnchor">
 </div>
 <p>The true causal variables are colored red. The 95% CS identified are circled in different colors. Of interest is the cluster around position 400. The true signal is 403 but apparently it does not have the highest PIP. To compare ranking of PIP and original z-score in that CS:</p>
 <div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">i  &lt;-<span class="st"> </span>fitted$sets$cs[[<span class="dv">3</span>]]
-z3 &lt;-<span class="st"> </span><span class="kw"><a href="https://rdrr.io/r/base/cbind.html">cbind</a></span>(i,z_scores[i],fitted$pip[i])
-<span class="kw"><a href="https://rdrr.io/r/base/colnames.html">colnames</a></span>(z3) &lt;-<span class="st"> </span><span class="kw"><a href="https://rdrr.io/r/base/c.html">c</a></span>(<span class="st">'position'</span>, <span class="st">'z-score'</span>, <span class="st">'PIP'</span>)
-z3[<span class="kw"><a href="https://rdrr.io/r/base/order.html">order</a></span>(z3[,<span class="dv">2</span>], <span class="dt">decreasing =</span> <span class="ot">TRUE</span>),]
+z3 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/cbind">cbind</a></span>(i,z_scores[i],fitted$pip[i])
+<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/colnames">colnames</a></span>(z3) &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">'position'</span>, <span class="st">'z-score'</span>, <span class="st">'PIP'</span>)
+z3[<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/order">order</a></span>(z3[,<span class="dv">2</span>], <span class="dt">decreasing =</span> <span class="ot">TRUE</span>),]
 <span class="co">#       position  z-score        PIP</span>
 <span class="co">#  [1,]      396 5.189811 0.06026797</span>
 <span class="co">#  [2,]      381 5.164794 0.08444210</span>
@@ -283,10 +280,10 @@ <h3 class="hasAnchor">
 <h2 class="hasAnchor">
 <a href="#session-information" class="anchor"></a>Session information</h2>
 <p>Here are some details about the computing environment, including the versions of R, and the R packages, used to generate these results.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/utils/sessionInfo.html">sessionInfo</a></span>()
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/utils/topics/sessionInfo">sessionInfo</a></span>()
 <span class="co"># R version 3.5.3 (2019-03-11)</span>
 <span class="co"># Platform: x86_64-pc-linux-gnu (64-bit)</span>
-<span class="co"># Running under: LMDE 3 (cindy)</span>
+<span class="co"># Running under: BunsenLabs GNU/Linux 8.9 (Hydrogen)</span>
 <span class="co"># </span>
 <span class="co"># Matrix products: default</span>
 <span class="co"># BLAS: /usr/lib/atlas-base/atlas/libblas.so.3.0</span>
@@ -304,16 +301,17 @@ <h2 class="hasAnchor">
 <span class="co"># [1] stats     graphics  grDevices utils     datasets  methods   base     </span>
 <span class="co"># </span>
 <span class="co"># other attached packages:</span>
-<span class="co"># [1] susieR_0.8.1.0545</span>
+<span class="co"># [1] susieR_0.8.1.0571</span>
 <span class="co"># </span>
 <span class="co"># loaded via a namespace (and not attached):</span>
-<span class="co">#  [1] Rcpp_1.0.3       knitr_1.25       magrittr_1.5     MASS_7.3-51.1   </span>
-<span class="co">#  [5] lattice_0.20-38  R6_2.4.1         rlang_0.4.1      stringr_1.4.0   </span>
-<span class="co">#  [9] highr_0.8        tools_3.5.3      grid_3.5.3       xfun_0.9        </span>
-<span class="co"># [13] htmltools_0.3.6  yaml_2.2.0       assertthat_0.2.1 digest_0.6.22   </span>
-<span class="co"># [17] rprojroot_1.3-2  pkgdown_1.4.1    crayon_1.3.4     Matrix_1.2-16   </span>
-<span class="co"># [21] fs_1.3.0         memoise_1.1.0    evaluate_0.13    rmarkdown_1.15  </span>
-<span class="co"># [25] stringi_1.4.3    compiler_3.5.3   desc_1.2.0       backports_1.1.5</span></code></pre></div>
+<span class="co">#  [1] Rcpp_1.0.3       knitr_1.23       xml2_1.2.0       magrittr_1.5    </span>
+<span class="co">#  [5] roxygen2_6.1.1   MASS_7.3-51.1    lattice_0.20-38  R6_2.4.1        </span>
+<span class="co">#  [9] rlang_0.4.2      highr_0.8        stringr_1.4.0    tools_3.5.3     </span>
+<span class="co"># [13] grid_3.5.3       xfun_0.7         htmltools_0.3.6  commonmark_1.7  </span>
+<span class="co"># [17] yaml_2.2.0       digest_0.6.23    assertthat_0.2.1 rprojroot_1.3-2 </span>
+<span class="co"># [21] pkgdown_1.3.0    crayon_1.3.4     Matrix_1.2-16    fs_1.2.7        </span>
+<span class="co"># [25] memoise_1.1.0    evaluate_0.13    rmarkdown_1.13   stringi_1.4.3   </span>
+<span class="co"># [29] compiler_3.5.3   desc_1.2.0       backports_1.1.5</span></code></pre></div>
 </div>
   </div>
 
@@ -333,20 +331,17 @@ <h2 class="hasAnchor">
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-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
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diff --git a/docs/articles/finemapping_summary_statistics.html b/docs/articles/finemapping_summary_statistics.html
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+<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous">
+<!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script><!-- sticky kit --><script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet">
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       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -60,14 +59,13 @@
 <!--/.navbar -->
 
       
-
       </header><div class="row">
   <div class="col-md-9 contents">
     <div class="page-header toc-ignore">
       <h1>Fine-mapping with summary statistics</h1>
                         <h4 class="author">Yuxin Zou and Gao Wang</h4>
             
-            <h4 class="date">2019-11-20</h4>
+            <h4 class="date">2020-01-14</h4>
       
       <small class="dont-index">Source: <a href="/stephenslab/susieR/blob/master/vignettes/finemapping_summary_statistics.Rmd"><code>vignettes/finemapping_summary_statistics.Rmd</code></a></small>
       <div class="hidden name"><code>finemapping_summary_statistics.Rmd</code></div>
@@ -77,25 +75,25 @@ <h4 class="date">2019-11-20</h4>
     
     
 <p>This vignette demonstrates how to use <code>susieR</code> with “summary statistics” in the context of genetic fine-mapping. We use the same simulated data as in <a href="finemapping.html">fine mapping vignette</a>. The simulated data is expression level of a gene (<span class="math inline">\(y\)</span>) in <span class="math inline">\(N \approx 600\)</span> individuals. We want to identify with the genotype matrix <span class="math inline">\(X_{N\times P}\)</span> (<span class="math inline">\(P=1000\)</span>) the genetic variables that causes changes in expression level. The data-set is shipped with <code>susieR</code>. It is simulated to have exactly 3 non-zero effects.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/library.html">library</a></span>(susieR)
-<span class="kw"><a href="https://rdrr.io/r/base/Random.html">set.seed</a></span>(<span class="dv">1</span>)</code></pre></div>
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">library</a></span>(susieR)
+<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Random">set.seed</a></span>(<span class="dv">1</span>)</code></pre></div>
 <div id="the-data-set" class="section level2">
 <h2 class="hasAnchor">
 <a href="#the-data-set" class="anchor"></a>The data-set</h2>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/utils/data.html">data</a></span>(N3finemapping)
-<span class="kw"><a href="https://rdrr.io/r/base/attach.html">attach</a></span>(N3finemapping)</code></pre></div>
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/utils/topics/data">data</a></span>(N3finemapping)
+<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/attach">attach</a></span>(N3finemapping)</code></pre></div>
 <p>Notice that we’ve simulated 2 sets of <span class="math inline">\(Y\)</span> as 2 simulation replicates. Here we’ll focus on the first data-set.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/dim.html">dim</a></span>(data$Y)
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/dim">dim</a></span>(data$Y)
 <span class="co"># [1] 574   2</span></code></pre></div>
 <p>Here are the 3 “true” signals in the first data-set:</p>
 <div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">b &lt;-<span class="st"> </span>data$true_coef[,<span class="dv">1</span>]
-<span class="kw"><a href="https://rdrr.io/r/graphics/plot.html">plot</a></span>(b, <span class="dt">pch=</span><span class="dv">16</span>, <span class="dt">ylab=</span><span class="st">'effect size'</span>)</code></pre></div>
+<span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(b, <span class="dt">pch=</span><span class="dv">16</span>, <span class="dt">ylab=</span><span class="st">'effect size'</span>)</code></pre></div>
 <div class="figure" style="text-align: center">
 <img src="finemapping_summary_statistics_files/figure-html/unnamed-chunk-4-1.png" alt="&amp;nbsp;" width="600"><p class="caption">
  
 </p>
 </div>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/which.html">which</a></span>(b !=<span class="st"> </span><span class="dv">0</span>)
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/which">which</a></span>(b !=<span class="st"> </span><span class="dv">0</span>)
 <span class="co"># [1] 403 653 773</span></code></pre></div>
 <p>So the underlying causal variables are 403, 653 and 773.</p>
 </div>
@@ -113,7 +111,7 @@ <h2 class="hasAnchor">
 </p>
 </div>
 <p>For this example the correlation matrix can be computed directly from data provide,</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">R &lt;-<span class="st"> </span><span class="kw"><a href="https://rdrr.io/r/stats/cor.html">cor</a></span>(data$X)</code></pre></div>
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">R &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/stats/topics/cor">cor</a></span>(data$X)</code></pre></div>
 </div>
 <div id="fine-mapping-with-susier-using-summary-statistics" class="section level2">
 <h2 class="hasAnchor">
@@ -125,7 +123,7 @@ <h2 class="hasAnchor">
                           <span class="dt">estimate_prior_variance =</span> <span class="ot">TRUE</span>)</code></pre></div>
 <p>Using <code>summary</code> function, we can examine the posterior inclusion probability (PIP) for each variable, and the 95% credible sets.</p>
 <p>Here, we are the 95% credible sets.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/base/summary.html">summary</a></span>(fitted_rss)$cs
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(fitted_rss)$cs
 <span class="co">#   cs cs_log10bf cs_avg_r2 cs_min_r2</span>
 <span class="co"># 1  2   8.415429 1.0000000 1.0000000</span>
 <span class="co"># 2  1  14.908636 0.9816575 0.9634847</span>
@@ -143,11 +141,11 @@ <h2 class="hasAnchor">
 </p>
 </div>
 <p>The true causal variables are colored red. The 95% CS identified are circled in different colors.</p>
-<p>The result should be very similar to using the individual level data,</p>
+<p>The result should be very similar to using the individual level data for this example, as the z-scores and correlation matrix (LD reference) come from the same genotype data-set.</p>
 <div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">fitted =<span class="st"> </span><span class="kw"><a href="../reference/susie.html">susie</a></span>(data$X, data$Y[,<span class="dv">1</span>], <span class="dt">L =</span> <span class="dv">10</span>,
                 <span class="dt">estimate_residual_variance =</span> <span class="ot">TRUE</span>, 
                 <span class="dt">estimate_prior_variance =</span> <span class="ot">TRUE</span>)
-<span class="kw"><a href="https://rdrr.io/r/graphics/plot.html">plot</a></span>(fitted$pip, fitted_rss$pip, <span class="dt">ylim=</span><span class="kw"><a href="https://rdrr.io/r/base/c.html">c</a></span>(<span class="dv">0</span>,<span class="dv">1</span>))</code></pre></div>
+<span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(fitted$pip, fitted_rss$pip, <span class="dt">ylim=</span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>,<span class="dv">1</span>))</code></pre></div>
 <div class="figure" style="text-align: center">
 <img src="finemapping_summary_statistics_files/figure-html/unnamed-chunk-11-1.png" alt="&amp;nbsp;" width="720"><p class="caption">
  
@@ -158,10 +156,10 @@ <h2 class="hasAnchor">
 <h2 class="hasAnchor">
 <a href="#session-information" class="anchor"></a>Session information</h2>
 <p>Here are some details about the computing environment, including the versions of R, and the R packages, used to generate these results.</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://rdrr.io/r/utils/sessionInfo.html">sessionInfo</a></span>()
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw"><a href="https://www.rdocumentation.org/packages/utils/topics/sessionInfo">sessionInfo</a></span>()
 <span class="co"># R version 3.5.3 (2019-03-11)</span>
 <span class="co"># Platform: x86_64-pc-linux-gnu (64-bit)</span>
-<span class="co"># Running under: LMDE 3 (cindy)</span>
+<span class="co"># Running under: BunsenLabs GNU/Linux 8.9 (Hydrogen)</span>
 <span class="co"># </span>
 <span class="co"># Matrix products: default</span>
 <span class="co"># BLAS: /usr/lib/atlas-base/atlas/libblas.so.3.0</span>
@@ -179,16 +177,17 @@ <h2 class="hasAnchor">
 <span class="co"># [1] stats     graphics  grDevices utils     datasets  methods   base     </span>
 <span class="co"># </span>
 <span class="co"># other attached packages:</span>
-<span class="co"># [1] susieR_0.8.1.0545</span>
+<span class="co"># [1] susieR_0.8.1.0571</span>
 <span class="co"># </span>
 <span class="co"># loaded via a namespace (and not attached):</span>
-<span class="co">#  [1] Rcpp_1.0.3       knitr_1.25       magrittr_1.5     MASS_7.3-51.1   </span>
-<span class="co">#  [5] lattice_0.20-38  R6_2.4.1         rlang_0.4.1      stringr_1.4.0   </span>
-<span class="co">#  [9] highr_0.8        tools_3.5.3      grid_3.5.3       xfun_0.9        </span>
-<span class="co"># [13] htmltools_0.3.6  yaml_2.2.0       assertthat_0.2.1 digest_0.6.22   </span>
-<span class="co"># [17] rprojroot_1.3-2  pkgdown_1.4.1    crayon_1.3.4     Matrix_1.2-16   </span>
-<span class="co"># [21] fs_1.3.0         memoise_1.1.0    evaluate_0.13    rmarkdown_1.15  </span>
-<span class="co"># [25] stringi_1.4.3    compiler_3.5.3   desc_1.2.0       backports_1.1.5</span></code></pre></div>
+<span class="co">#  [1] Rcpp_1.0.3       knitr_1.23       xml2_1.2.0       magrittr_1.5    </span>
+<span class="co">#  [5] roxygen2_6.1.1   MASS_7.3-51.1    lattice_0.20-38  R6_2.4.1        </span>
+<span class="co">#  [9] rlang_0.4.2      highr_0.8        stringr_1.4.0    tools_3.5.3     </span>
+<span class="co"># [13] grid_3.5.3       xfun_0.7         htmltools_0.3.6  commonmark_1.7  </span>
+<span class="co"># [17] yaml_2.2.0       digest_0.6.23    assertthat_0.2.1 rprojroot_1.3-2 </span>
+<span class="co"># [21] pkgdown_1.3.0    crayon_1.3.4     Matrix_1.2-16    fs_1.2.7        </span>
+<span class="co"># [25] memoise_1.1.0    evaluate_0.13    rmarkdown_1.13   stringi_1.4.3   </span>
+<span class="co"># [29] compiler_3.5.3   desc_1.2.0       backports_1.1.5</span></code></pre></div>
 </div>
   </div>
 
@@ -208,20 +207,17 @@ <h2 class="hasAnchor">
 </div>
 
 
-
       <footer><div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
 </div>
 
   
 
-
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diff --git a/docs/articles/index.html b/docs/articles/index.html
index e82d7a21..6b2346d7 100644
--- a/docs/articles/index.html
+++ b/docs/articles/index.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
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+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
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-<!-- headroom.js -->
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+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -46,7 +44,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
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                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -63,7 +60,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0</span>
       </span>
     </div>
 
@@ -91,7 +88,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -117,23 +113,19 @@ <h3>Vignettes</h3>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/authors.html b/docs/authors.html
index 11a713cd..f7a43870 100644
--- a/docs/authors.html
+++ b/docs/authors.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="pkgdown.css" rel="stylesheet">
@@ -46,7 +44,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -63,7 +60,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0</span>
       </span>
     </div>
 
@@ -91,7 +88,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -128,23 +124,19 @@ <h1>Authors</h1>
 </div>
 
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/index.html b/docs/index.html
index e934d785..fed45e27 100644
--- a/docs/index.html
+++ b/docs/index.html
@@ -7,9 +7,8 @@
 <meta name="viewport" content="width=device-width, initial-scale=1.0">
 <title>Fit Sum of Single Effects Linear Regression Model  • susieR</title>
 <!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js" integrity="sha256-FgpCb/KJQlLNfOu91ta32o/NMZxltwRo8QtmkMRdAu8=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/css/bootstrap.min.css" integrity="sha256-916EbMg70RQy9LHiGkXzG8hSg9EdNy97GazNG/aiY1w=" crossorigin="anonymous">
-<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous">
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous">
-<!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="pkgdown.css" rel="stylesheet">
+<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous">
+<!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script><!-- sticky kit --><script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script><!-- pkgdown --><link href="pkgdown.css" rel="stylesheet">
 <script src="pkgdown.js"></script><meta property="og:title" content="Fit Sum of Single Effects Linear Regression Model ">
 <meta property="og:description" content="The package implements a simple new way to perform
     variable selection in multiple regression ($y=Xb+e$), using
@@ -37,7 +36,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0</span>
       </span>
     </div>
 
@@ -66,7 +65,6 @@
 <!--/.navbar -->
 
       
-
       </header><div class="row">
   <div class="contents col-md-9">
 <div id="susier" class="section level1">
@@ -82,7 +80,7 @@
 <h2 class="hasAnchor">
 <a href="#setup" class="anchor"></a>Setup</h2>
 <p>To automatically retrieve and install <code>susieR</code> from this repository, with the vignettes included, run:</p>
-<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">devtools::<span class="kw">install_github</span>(<span class="st">"stephenslab/susieR@0.8.0"</span>,<span class="dt">build_vignettes =</span> <span class="ot">TRUE</span>)</code></pre></div>
+<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">devtools::<span class="kw">install_github</span>(<span class="st">"stephenslab/susieR@0.9.0"</span>,<span class="dt">build_vignettes =</span> <span class="ot">TRUE</span>)</code></pre></div>
 </div>
 <div id="quick-start" class="section level2">
 <h2 class="hasAnchor">
@@ -93,17 +91,17 @@ <h2 class="hasAnchor">
 <h2 class="hasAnchor">
 <a href="#developer-notes" class="anchor"></a>Developer notes</h2>
 <ul>
-<li><p>When any changes are made to <code>roxygen2</code> markup, simply run <code><a href="https://rdrr.io/pkg/devtools/man/document.html">devtools::document()</a></code> to update package <code>NAMESPACE</code> and documentation files.</p></li>
+<li><p>When any changes are made to <code>roxygen2</code> markup, simply run <code><a href="https://www.rdocumentation.org/packages/devtools/topics/document">devtools::document()</a></code> to update package <code>NAMESPACE</code> and documentation files.</p></li>
 <li>
 <p>To install and test the development version of susieR, run the following commands in the shell:</p>
-<div class="sourceCode"><pre class="sourceCode bash"><code class="sourceCode bash"><span class="ex">R</span> CMD build --resave-data --no-build-vignettes susieR
-<span class="ex">R</span> CMD INSTALL susieR_0.8.1.0525.tar.gz
-<span class="ex">R</span> CMD check --as-cran --ignore-vignettes susieR_0.8.1.0525.tar.gz</code></pre></div>
+<div class="sourceCode"><pre class="sourceCode bash"><code class="sourceCode bash"><span class="kw">R</span> CMD build --resave-data --no-build-vignettes susieR
+<span class="kw">R</span> CMD INSTALL susieR_0.9.0.tar.gz
+<span class="kw">R</span> CMD check --as-cran --ignore-vignettes susieR_0.9.0.tar.gz</code></pre></div>
 </li>
 <li><p>Run <code><a href="https://pkgdown.r-lib.org/reference/build_site.html">pkgdown::build_site()</a></code> to build the website. Getting <code>pkgdown</code> to work properly can be frustrating due to numerous &amp; fragile dependencies. If <code>pkgdown</code> does not work for you out of the box you can use this <code>docker</code> command to run all vignettes and build the site:</p></li>
 </ul>
-<div class="sourceCode"><pre class="sourceCode bash"><code class="sourceCode bash"><span class="ex">docker</span> run --rm --security-opt label:disable -t -P -w <span class="va">$PWD</span> -v <span class="va">$PWD</span>:<span class="va">$PWD</span> \
-  -u <span class="va">$UID</span>:<span class="va">${GROUPS[0]}</span> -e HOME=/home/<span class="va">$USER</span> -e USER=<span class="va">$USER</span> gaow/susie \
+<div class="sourceCode"><pre class="sourceCode bash"><code class="sourceCode bash"><span class="kw">docker</span> run --rm --security-opt label:disable -t -P -w <span class="ot">$PWD</span> -v <span class="ot">$PWD</span>:<span class="ot">$PWD</span> \
+  -u <span class="ot">$UID</span>:<span class="ot">${GROUPS[0]}</span> -e HOME=/home/<span class="ot">$USER</span> -e USER=<span class="ot">$USER</span> gaow/susie \
   R --slave -e <span class="st">"pkgdown::build_site(lazy=TRUE, examples=FALSE)"</span></code></pre></div>
 </div>
 </div>
@@ -149,20 +147,17 @@ <h2>Dev status</h2>
 </div>
 </div>
 
-
       <footer><div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
 </div>
 
   
 
-
   </body>
 </html>
diff --git a/docs/pkgdown.css b/docs/pkgdown.css
index 91459581..c03fb08d 100644
--- a/docs/pkgdown.css
+++ b/docs/pkgdown.css
@@ -21,6 +21,8 @@ body > .container {
   display: flex;
   height: 100%;
   flex-direction: column;
+
+  padding-top: 60px;
 }
 
 body > .container .row {
@@ -100,13 +102,21 @@ a.anchor {
   margin-top: -40px;
 }
 
+/* Static header placement on mobile devices */
+@media (max-width: 767px) {
+  .navbar-fixed-top {
+    position: absolute;
+  }
+  .navbar {
+    padding: 0;
+  }
+}
+
+
 /* Sidebar --------------------------*/
 
 #sidebar {
   margin-top: 30px;
-  position: -webkit-sticky;
-  position: sticky;
-  top: 70px;
 }
 #sidebar h2 {
   font-size: 1.5em;
@@ -123,9 +133,6 @@ a.anchor {
 
 .orcid {
   height: 16px;
-  /* margins are required by official ORCID trademark and display guidelines */
-  margin-left:4px;
-  margin-right:4px;
   vertical-align: middle;
 }
 
@@ -215,19 +222,6 @@ a.sourceLine:hover {
   visibility: visible;
 }
 
-/* headroom.js ------------------------ */
-
-.headroom {
-  will-change: transform;
-  transition: transform 200ms linear;
-}
-.headroom--pinned {
-  transform: translateY(0%);
-}
-.headroom--unpinned {
-  transform: translateY(-100%);
-}
-
 /* mark.js ----------------------------*/
 
 mark {
@@ -240,17 +234,3 @@ mark {
 .html-widget {
   margin-bottom: 10px;
 }
-
-/* fontawesome ------------------------ */
-
-.fab {
-    font-family: "Font Awesome 5 Brands" !important;
-}
-
-/* don't display links in code chunks when printing */
-/* source: https://stackoverflow.com/a/10781533 */
-@media print {
-  code a:link:after, code a:visited:after {
-    content: "";
-  }
-}
diff --git a/docs/pkgdown.js b/docs/pkgdown.js
index 087a7622..eb7e83d2 100644
--- a/docs/pkgdown.js
+++ b/docs/pkgdown.js
@@ -2,12 +2,14 @@
 (function($) {
   $(function() {
 
-    $('.navbar-fixed-top').headroom();
-
-    $('body').css('padding-top', $('.navbar').height() + 10);
-    $(window).resize(function(){
-      $('body').css('padding-top', $('.navbar').height() + 10);
-    });
+    $("#sidebar")
+      .stick_in_parent({offset_top: 40})
+      .on('sticky_kit:bottom', function(e) {
+        $(this).parent().css('position', 'static');
+      })
+      .on('sticky_kit:unbottom', function(e) {
+        $(this).parent().css('position', 'relative');
+      });
 
     $('body').scrollspy({
       target: '#sidebar',
diff --git a/docs/pkgdown.yml b/docs/pkgdown.yml
index a5471584..5eb3648b 100644
--- a/docs/pkgdown.yml
+++ b/docs/pkgdown.yml
@@ -1,5 +1,5 @@
-pandoc: 1.17.2
-pkgdown: 1.4.1
+pandoc: 1.17.0.2
+pkgdown: 1.3.0
 pkgdown_sha: ~
 articles:
   finemapping: finemapping.html
diff --git a/docs/reference/SER_posterior_e_loglik_rss.html b/docs/reference/SER_posterior_e_loglik_rss.html
index 7175d1d1..9f038b36 100644
--- a/docs/reference/SER_posterior_e_loglik_rss.html
+++ b/docs/reference/SER_posterior_e_loglik_rss.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -149,23 +145,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/compute_MXt.html b/docs/reference/compute_MXt.html
index fa818cf0..307972c0 100644
--- a/docs/reference/compute_MXt.html
+++ b/docs/reference/compute_MXt.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
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-
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   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
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-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -143,23 +139,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
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    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/compute_Xty.html b/docs/reference/compute_Xty.html
index f77bca19..243a0aa6 100644
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+++ b/docs/reference/compute_Xty.html
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 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
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 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -143,23 +139,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
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    </div>
 
   
 
-
   </body>
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diff --git a/docs/reference/compute_ss.html b/docs/reference/compute_ss.html
index 1815d891..b8e312f6 100644
--- a/docs/reference/compute_ss.html
+++ b/docs/reference/compute_ss.html
@@ -6,7 +6,7 @@
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 <meta name="viewport" content="width=device-width, initial-scale=1.0">
 
-<title>Compute the needed summary statistics for `susie_ss` from the 'raw' data — compute_ss • susieR</title>
+<title>Compute sufficient statistics from input data — compute_ss • susieR</title>
 
 <!-- jquery -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js" integrity="sha256-FgpCb/KJQlLNfOu91ta32o/NMZxltwRo8QtmkMRdAu8=" crossorigin="anonymous"></script>
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@@ -32,9 +30,9 @@
 
 
 
-<meta property="og:title" content="Compute the needed summary statistics for `susie_ss` from the 'raw' data — compute_ss" />
+<meta property="og:title" content="Compute sufficient statistics from input data — compute_ss" />
 
-<meta property="og:description" content="Compute the needed summary statistics for `susie_ss` from the 'raw' data" />
+<meta property="og:description" content="Compute sufficient statistics from input data" />
 <meta name="twitter:card" content="summary" />
 
 
@@ -49,7 +47,6 @@
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-
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 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,20 +91,19 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
   <div class="col-md-9 contents">
     <div class="page-header">
-    <h1>Compute the needed summary statistics for `susie_ss` from the 'raw' data</h1>
+    <h1>Compute sufficient statistics from input data</h1>
     <small class="dont-index">Source: <a href='https://github.com/stephenslab/susieR/blob/master/R/compute_ss.R'><code>R/compute_ss.R</code></a></small>
     <div class="hidden name"><code>compute_ss.Rd</code></div>
     </div>
 
     <div class="ref-description">
     
-    <p>Compute the needed summary statistics for `susie_ss` from the 'raw' data</p>
+    <p>Compute sufficient statistics from input data</p>
     
     </div>
 
@@ -132,7 +128,7 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
     
     <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
 
-    <p>a list with the input for `susie_ss`</p>
+    <p>a list of sufficient statistics</p>
     
 
   </div>
@@ -147,23 +143,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
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    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/estimate_residual_variance.html b/docs/reference/estimate_residual_variance.html
index 377c1fe6..8e8efef8 100644
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 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
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        </style>
         <script>
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 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -141,23 +137,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/estimate_residual_variance_ss.html b/docs/reference/estimate_residual_variance_ss.html
index 9e9fe4ca..58d3237b 100644
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 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
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 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -149,23 +145,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
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    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/index.html b/docs/reference/index.html
index 52d525b4..7f1b758c 100644
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+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -46,7 +44,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -63,7 +60,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0</span>
       </span>
     </div>
 
@@ -91,7 +88,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -117,12 +113,6 @@ <h2 id="section-all-functions" class="hasAnchor"><a href="#section-all-functions
       </tr>
       <tr>
         
-        <td>
-          <p><code><a href="SER_posterior_e_loglik_rss.html">SER_posterior_e_loglik_rss()</a></code> </p>
-        </td>
-        <td><p>posterior expected loglikelihood for a single effect regression</p></td>
-      </tr><tr>
-        
         <td>
           <p><code><a href="check_projection.html">check_projection()</a></code> </p>
         </td>
@@ -141,18 +131,6 @@ <h2 id="section-all-functions" class="hasAnchor"><a href="#section-all-functions
         <td><p>extract regression coefficients from susie fit</p></td>
       </tr><tr>
         
-        <td>
-          <p><code><a href="compute_MXt.html">compute_MXt()</a></code> </p>
-        </td>
-        <td><p>Computes M%*%t(standardized.X) using sparse multiplication trick</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="compute_Xty.html">compute_Xty()</a></code> </p>
-        </td>
-        <td><p>Computes t(standardized.X)%*%y using sparse multiplication trick</p></td>
-      </tr><tr>
-        
         <td>
           <p><code><a href="compute_colSds.html">compute_colSds()</a></code> </p>
         </td>
@@ -163,25 +141,7 @@ <h2 id="section-all-functions" class="hasAnchor"><a href="#section-all-functions
         <td>
           <p><code><a href="compute_ss.html">compute_ss()</a></code> </p>
         </td>
-        <td><p>Compute the needed summary statistics for `susie_ss` from the 'raw' data</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="estimate_residual_variance.html">estimate_residual_variance()</a></code> </p>
-        </td>
-        <td><p>Estimate residual variance</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="estimate_residual_variance_ss.html">estimate_residual_variance_ss()</a></code> </p>
-        </td>
-        <td><p>Estimate residual variance for summary statistics</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="loglik.html">loglik()</a></code> </p>
-        </td>
-        <td><p>The log likelihood function for SER model (based on summary data betahat, shat2), as a function of prior variance V</p></td>
+        <td><p>Compute sufficient statistics from input data</p></td>
       </tr><tr>
         
         <td>
@@ -238,12 +198,6 @@ <h2 id="section-all-functions" class="hasAnchor"><a href="#section-all-functions
         <td><p>An attempt to automate reliable running of susie even on hard problems</p></td>
       </tr><tr>
         
-        <td>
-          <p><code><a href="susie_bhat.html">susie_bhat()</a></code> </p>
-        </td>
-        <td><p>Summary statistics version of SuSiE on betahat, the corresponding standard error, and correlation (or covariance) matrix</p></td>
-      </tr><tr>
-        
         <td>
           <p><code><a href="susie_get_cs.html">susie_get_cs()</a></code> </p>
         </td>
@@ -323,15 +277,9 @@ <h2 id="section-all-functions" class="hasAnchor"><a href="#section-all-functions
       </tr><tr>
         
         <td>
-          <p><code><a href="susie_slim.html">susie_slim()</a></code> </p>
+          <p><code><a href="susie_suff_stat.html">susie_suff_stat()</a></code> </p>
         </td>
-        <td><p>Slim the result of fitted SuSiE model</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="susie_ss.html">susie_ss()</a></code> </p>
-        </td>
-        <td><p>Bayesian sum of single-effect (susie) linear regression using summary stat</p></td>
+        <td><p>Bayesian sum of single-effect (susie) linear regression using sufficient summary stat</p></td>
       </tr><tr>
         
         <td>
@@ -339,24 +287,6 @@ <h2 id="section-all-functions" class="hasAnchor"><a href="#section-all-functions
         </td>
         <td><p>Applies susie to perform trend filtering (especially
   changepoint problems), a type of non-parametric regression.</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="update_each_effect.html">update_each_effect()</a></code> </p>
-        </td>
-        <td><p>update each effect once</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="update_each_effect_rss.html">update_each_effect_rss()</a></code> </p>
-        </td>
-        <td><p>update each effect once</p></td>
-      </tr><tr>
-        
-        <td>
-          <p><code><a href="update_each_effect_ss.html">update_each_effect_ss()</a></code> </p>
-        </td>
-        <td><p>update each effect once</p></td>
       </tr>
     </tbody>
     </table>
@@ -370,23 +300,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/loglik.html b/docs/reference/loglik.html
index 652d33b3..e8ca088b 100644
--- a/docs/reference/loglik.html
+++ b/docs/reference/loglik.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -123,23 +119,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/set_R_attributes.html b/docs/reference/set_R_attributes.html
index a679227a..6f4684d4 100644
--- a/docs/reference/set_R_attributes.html
+++ b/docs/reference/set_R_attributes.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -111,7 +107,7 @@ <h1>sets the attributes for the R matrix</h1>
     
     </div>
 
-    <pre class="usage"><span class='fu'>set_R_attributes</span>(<span class='no'>R</span>, <span class='no'>expected_dim</span>)</pre>
+    <pre class="usage"><span class='fu'>set_R_attributes</span>(<span class='no'>R</span>, <span class='no'>r_tol</span>)</pre>
     
     <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
     <table class="ref-arguments">
@@ -121,8 +117,8 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
       <td><p>a p by p LD matrix</p></td>
     </tr>
     <tr>
-      <th>z</th>
-      <td><p>a p vector of z scores</p></td>
+      <th>r_tol</th>
+      <td><p>tolerance level for eigen value check of positive semidefinite matrix of R</p></td>
     </tr>
     </table>
     
@@ -144,23 +140,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/single_effect_regression.html b/docs/reference/single_effect_regression.html
index 69067c70..4129a76d 100644
--- a/docs/reference/single_effect_regression.html
+++ b/docs/reference/single_effect_regression.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -112,7 +108,8 @@ <h1>Bayesian single-effect linear regression of Y on X</h1>
     </div>
 
     <pre class="usage"><span class='fu'>single_effect_regression</span>(<span class='no'>Y</span>, <span class='no'>X</span>, <span class='no'>V</span>, <span class='kw'>residual_variance</span> <span class='kw'>=</span> <span class='fl'>1</span>,
-  <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>optimize_V</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"none"</span>, <span class='st'>"optim"</span>, <span class='st'>"EM"</span>))</pre>
+  <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>optimize_V</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"none"</span>, <span class='st'>"optim"</span>, <span class='st'>"uniroot"</span>,
+  <span class='st'>"EM"</span>, <span class='st'>"simple"</span>))</pre>
     
     <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
     <table class="ref-arguments">
@@ -179,23 +176,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/single_effect_regression_rss.html b/docs/reference/single_effect_regression_rss.html
index 71e2ace7..49ece2ae 100644
--- a/docs/reference/single_effect_regression_rss.html
+++ b/docs/reference/single_effect_regression_rss.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
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+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
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-<!-- headroom.js -->
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-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
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 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
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 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -111,8 +107,8 @@ <h1>Bayesian single-effect linear regression using z scores.</h1>
     
     </div>
 
-    <pre class="usage"><span class='fu'>single_effect_regression_rss</span>(<span class='no'>z</span>, <span class='no'>Sigma</span>, <span class='kw'>V</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>residual_variance</span> <span class='kw'>=</span> <span class='fl'>1</span>,
-  <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>optimize_V</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"none"</span>, <span class='st'>"optim"</span>, <span class='st'>"EM"</span>))</pre>
+    <pre class="usage"><span class='fu'>single_effect_regression_rss</span>(<span class='no'>z</span>, <span class='no'>Sigma</span>, <span class='kw'>V</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
+  <span class='kw'>optimize_V</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"none"</span>, <span class='st'>"optim"</span>, <span class='st'>"uniroot"</span>, <span class='st'>"EM"</span>, <span class='st'>"simple"</span>))</pre>
     
     <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
     <table class="ref-arguments">
@@ -129,10 +125,6 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
       <th>V</th>
       <td><p>the prior variance</p></td>
     </tr>
-    <tr>
-      <th>residual_variance</th>
-      <td><p>the residual variance</p></td>
-    </tr>
     <tr>
       <th>prior_weights</th>
       <td><p>a p vector of prior weights</p></td>
@@ -158,13 +150,13 @@ <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
     <h2 class="hasAnchor" id="details"><a class="anchor" href="#details"></a>Details</h2>
 
     <p>Performs single-effect linear regression with z scores. That is, this function
-fits the regression model z = Rb + e, where e is N(0,residual_variance * R) and the
+fits the regression model z = Rb + e, where e is N(0,Sigma), Sigma = residual_var * R + lambda I, and the
 b is a p vector of effects to be estimated.
 The assumption is that b has exactly one non-zero element, with all elements
 equally likely to be non-zero. The prior on the non-zero element is N(0,var=V).</p>
 <p>Performs sum of single-effect (susie) linear regression with z scores.
 The summary data required are the p by p correlation matrix R, the p vector z. The summary stats should come from the same individuals.
-This function fits the regression model z = sum_l Rb_l + e, where e is N(0,residual_variance * R) and the
+This function fits the regression model z = sum_l Rb_l + e, where e is N(0,Sigma) and the
 sum_l b_l is a p vector of effects to be estimated.
 The assumption is that each b_l has exactly one non-zero element, with all elements
 equally likely to be non-zero. The prior on the non-zero element is N(0,var=prior_variance).</p>
@@ -184,23 +176,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/single_effect_regression_ss.html b/docs/reference/single_effect_regression_ss.html
index 7240c498..3cadef82 100644
--- a/docs/reference/single_effect_regression_ss.html
+++ b/docs/reference/single_effect_regression_ss.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
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 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
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-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -112,7 +108,8 @@ <h1>Bayesian single-effect linear regression of y on X.</h1>
     </div>
 
     <pre class="usage"><span class='fu'>single_effect_regression_ss</span>(<span class='no'>Xty</span>, <span class='no'>dXtX</span>, <span class='kw'>V</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>residual_variance</span> <span class='kw'>=</span> <span class='fl'>1</span>,
-  <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>optimize_V</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"none"</span>, <span class='st'>"optim"</span>, <span class='st'>"EM"</span>))</pre>
+  <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>optimize_V</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"none"</span>, <span class='st'>"optim"</span>, <span class='st'>"uniroot"</span>,
+  <span class='st'>"EM"</span>, <span class='st'>"simple"</span>))</pre>
     
     <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
     <table class="ref-arguments">
@@ -179,23 +176,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/susie.html b/docs/reference/susie.html
index 46984a41..d1ead5b9 100644
--- a/docs/reference/susie.html
+++ b/docs/reference/susie.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
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 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -59,7 +57,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -76,7 +73,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -104,7 +101,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -131,11 +127,11 @@ <h1>SUm of Single Effects (SuSiE) Regression</h1>
     
     </div>
 
-    <pre class="usage"><span class='fu'>susie</span>(<span class='no'>X</span>, <span class='no'>Y</span>, <span class='kw'>L</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/Extremes.html'>min</a></span>(<span class='fl'>10</span>, <span class='fu'><a href='https://rdrr.io/r/base/nrow.html'>ncol</a></span>(<span class='no'>X</span>)), <span class='kw'>scaled_prior_variance</span> <span class='kw'>=</span> <span class='fl'>0.2</span>,
+    <pre class="usage"><span class='fu'>susie</span>(<span class='no'>X</span>, <span class='no'>Y</span>, <span class='kw'>L</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/Extremes'>min</a></span>(<span class='fl'>10</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/nrow'>ncol</a></span>(<span class='no'>X</span>)), <span class='kw'>scaled_prior_variance</span> <span class='kw'>=</span> <span class='fl'>0.2</span>,
   <span class='kw'>residual_variance</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>null_weight</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
   <span class='kw'>standardize</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>intercept</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
   <span class='kw'>estimate_residual_variance</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>estimate_prior_variance</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
-  <span class='kw'>estimate_prior_method</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"optim"</span>, <span class='st'>"EM"</span>), <span class='kw'>s_init</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
+  <span class='kw'>estimate_prior_method</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"optim"</span>, <span class='st'>"EM"</span>, <span class='st'>"simple"</span>), <span class='kw'>s_init</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
   <span class='kw'>coverage</span> <span class='kw'>=</span> <span class='fl'>0.95</span>, <span class='kw'>min_abs_corr</span> <span class='kw'>=</span> <span class='fl'>0.5</span>,
   <span class='kw'>compute_univariate_zscore</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>na.rm</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>max_iter</span> <span class='kw'>=</span> <span class='fl'>100</span>,
   <span class='kw'>tol</span> <span class='kw'>=</span> <span class='fl'>0.001</span>, <span class='kw'>verbose</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>track_fit</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>)</pre>
@@ -171,7 +167,7 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
       <td><p>The variance of the residual. If
 <code>estimate_residual_variance = TRUE</code>, this value simply provides the
 initial estimate of the residual variance. By default, it is set to
-<code><a href='https://rdrr.io/r/stats/cor.html'>var(Y)</a></code>.</p></td>
+<code><a href='https://www.rdocumentation.org/packages/stats/topics/cor'>var(Y)</a></code>.</p></td>
     </tr>
     <tr>
       <th>prior_weights</th>
@@ -222,7 +218,9 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
     <tr>
       <th>estimate_prior_method</th>
       <td><p>The method used for estimating prior
-variance.</p></td>
+variance. "simple" method only compares the loglikelihood between
+using specified prior variance and using zero, and chose the one that
+gives larger loglikelihood.</p></td>
     </tr>
     <tr>
       <th>s_init</th>
@@ -330,17 +328,19 @@ <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>R
     
 
     <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
-    <pre class="examples">
-<span class='fu'><a href='https://rdrr.io/r/base/Random.html'>set.seed</a></span>(<span class='fl'>1</span>)
+    <pre class="examples"><span class='co'># NOT RUN {</span>
+<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/Random'>set.seed</a></span>(<span class='fl'>1</span>)
 <span class='no'>n</span> <span class='kw'>=</span> <span class='fl'>1000</span>
 <span class='no'>p</span> <span class='kw'>=</span> <span class='fl'>1000</span>
-<span class='no'>beta</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/rep.html'>rep</a></span>(<span class='fl'>0</span>,<span class='no'>p</span>)
+<span class='no'>beta</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/rep'>rep</a></span>(<span class='fl'>0</span>,<span class='no'>p</span>)
 <span class='no'>beta</span>[<span class='fl'>1</span>:<span class='fl'>4</span>] <span class='kw'>=</span> <span class='fl'>1</span>
-<span class='no'>X</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/matrix.html'>matrix</a></span>(<span class='fu'><a href='https://rdrr.io/r/stats/Normal.html'>rnorm</a></span>(<span class='no'>n</span>*<span class='no'>p</span>),<span class='kw'>nrow</span><span class='kw'>=</span><span class='no'>n</span>,<span class='kw'>ncol</span><span class='kw'>=</span><span class='no'>p</span>)
-<span class='no'>y</span> <span class='kw'>=</span> <span class='no'>X</span> <span class='kw'>%*%</span> <span class='no'>beta</span> + <span class='fu'><a href='https://rdrr.io/r/stats/Normal.html'>rnorm</a></span>(<span class='no'>n</span>)
+<span class='no'>X</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/matrix'>matrix</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/Normal'>rnorm</a></span>(<span class='no'>n</span>*<span class='no'>p</span>),<span class='kw'>nrow</span><span class='kw'>=</span><span class='no'>n</span>,<span class='kw'>ncol</span><span class='kw'>=</span><span class='no'>p</span>)
+<span class='no'>y</span> <span class='kw'>=</span> <span class='no'>X</span> <span class='kw'>%*%</span> <span class='no'>beta</span> + <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/Normal'>rnorm</a></span>(<span class='no'>n</span>)
 <span class='no'>res</span> <span class='kw'>=</span> <span class='fu'>susie</span>(<span class='no'>X</span>,<span class='no'>y</span>,<span class='kw'>L</span><span class='kw'>=</span><span class='fl'>10</span>)
-<span class='fu'><a href='https://rdrr.io/r/stats/coef.html'>coef</a></span>(<span class='no'>res</span>)
-<span class='fu'><a href='https://rdrr.io/r/graphics/plot.html'>plot</a></span>(<span class='no'>y</span>,<span class='fu'><a href='https://rdrr.io/r/stats/predict.html'>predict</a></span>(<span class='no'>res</span>))</pre>
+<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>res</span>)
+<span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>y</span>,<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/predict'>predict</a></span>(<span class='no'>res</span>))
+
+<span class='co'># }</span></pre>
   </div>
   <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
     <h2>Contents</h2>
@@ -357,23 +357,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/susie_rss.html b/docs/reference/susie_rss.html
index 4d5c82d1..71b1f774 100644
--- a/docs/reference/susie_rss.html
+++ b/docs/reference/susie_rss.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -115,10 +111,10 @@ <h1>Bayesian sum of single-effect (SuSiE) linear regression using z scores</h1>
   <span class='kw'>prior_variance</span> <span class='kw'>=</span> <span class='fl'>50</span>, <span class='kw'>residual_variance</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>r_tol</span> <span class='kw'>=</span> <span class='fl'>1e-08</span>,
   <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>null_weight</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>restrict</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
   <span class='kw'>estimate_residual_variance</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>estimate_prior_variance</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
-  <span class='kw'>estimate_prior_method</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"optim"</span>, <span class='st'>"EM"</span>), <span class='kw'>max_iter</span> <span class='kw'>=</span> <span class='fl'>100</span>,
+  <span class='kw'>estimate_prior_method</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"optim"</span>, <span class='st'>"EM"</span>, <span class='st'>"simple"</span>), <span class='kw'>max_iter</span> <span class='kw'>=</span> <span class='fl'>100</span>,
   <span class='kw'>s_init</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>intercept_value</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>coverage</span> <span class='kw'>=</span> <span class='fl'>0.95</span>,
   <span class='kw'>min_abs_corr</span> <span class='kw'>=</span> <span class='fl'>0.5</span>, <span class='kw'>tol</span> <span class='kw'>=</span> <span class='fl'>0.001</span>, <span class='kw'>verbose</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>,
-  <span class='kw'>track_fit</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>check_input</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>)</pre>
+  <span class='kw'>track_fit</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>check_R</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>check_z</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</pre>
     
     <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
     <table class="ref-arguments">
@@ -181,7 +177,10 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
     </tr>
     <tr>
       <th>estimate_prior_method</th>
-      <td><p>The method used for estimating prior variance, 'optim' or 'EM'</p></td>
+      <td><p>The method used for estimating prior
+variance. "simple" method only compares the loglikelihood between
+using specified prior variance and using zero, and chose the one that
+gives larger loglikelihood.</p></td>
     </tr>
     <tr>
       <th>max_iter</th>
@@ -207,7 +206,7 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
     </tr>
     <tr>
       <th>tol</th>
-      <td><p>convergence tolerance based on alpha</p></td>
+      <td><p>convergence tolerance based on elbo</p></td>
     </tr>
     <tr>
       <th>verbose</th>
@@ -218,10 +217,12 @@ <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arg
       <td><p>add an attribute <code>trace</code> to output that saves current values of all iterations</p></td>
     </tr>
     <tr>
-      <th>check_input</th>
-      <td><p>whether to skip the checks for R and z, the checks are:</p>
-<p>1. Check whether R is positive semidefinite</p>
-<p>2. Check whether z in space spanned by the non-zero eigenvectors of R</p></td>
+      <th>check_R</th>
+      <td><p>check whether R is positive semidefinite</p></td>
+    </tr>
+    <tr>
+      <th>check_z</th>
+      <td><p>check whether z in space spanned by the non-zero eigenvectors of R</p></td>
     </tr>
     </table>
     
@@ -260,23 +261,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/susie_slim.html b/docs/reference/susie_slim.html
index 67fff7f7..91f15aee 100644
--- a/docs/reference/susie_slim.html
+++ b/docs/reference/susie_slim.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -133,23 +129,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/docs/reference/susie_suff_stat.html b/docs/reference/susie_suff_stat.html
new file mode 100644
index 00000000..9f574f5d
--- /dev/null
+++ b/docs/reference/susie_suff_stat.html
@@ -0,0 +1,327 @@
+<!-- Generated by pkgdown: do not edit by hand -->
+<!DOCTYPE html>
+<html lang="en">
+  <head>
+  <meta charset="utf-8">
+<meta http-equiv="X-UA-Compatible" content="IE=edge">
+<meta name="viewport" content="width=device-width, initial-scale=1.0">
+
+<title>Bayesian sum of single-effect (susie) linear regression using sufficient summary stat — susie_suff_stat • susieR</title>
+
+<!-- jquery -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js" integrity="sha256-FgpCb/KJQlLNfOu91ta32o/NMZxltwRo8QtmkMRdAu8=" crossorigin="anonymous"></script>
+<!-- Bootstrap -->
+
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/css/bootstrap.min.css" integrity="sha256-916EbMg70RQy9LHiGkXzG8hSg9EdNy97GazNG/aiY1w=" crossorigin="anonymous" />
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+
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+
+<!-- clipboard.js -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
+
+<!-- sticky kit -->
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+
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+<script src="../pkgdown.js"></script>
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+<meta property="og:title" content="Bayesian sum of single-effect (susie) linear regression using sufficient summary stat — susie_suff_stat" />
+
+<meta property="og:description" content="Bayesian sum of single-effect (susie) linear regression using sufficient summary stat" />
+<meta name="twitter:card" content="summary" />
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+<!-- mathjax -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script>
+<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script>
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+<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
+<![endif]-->
+
+
+          <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
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        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
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                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
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+
+  <body>
+    <div class="container template-reference-topic">
+      <header>
+      <div class="navbar navbar-default navbar-fixed-top" role="navigation">
+  <div class="container">
+    <div class="navbar-header">
+      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
+        <span class="sr-only">Toggle navigation</span>
+        <span class="icon-bar"></span>
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+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
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+</li>
+      </ul>
+      
+      <ul class="nav navbar-nav navbar-right">
+        <li>
+  <a href="/stephenslab/susieR">Source</a>
+</li>
+      </ul>
+      
+    </div><!--/.nav-collapse -->
+  </div><!--/.container -->
+</div><!--/.navbar -->
+
+      
+      </header>
+
+<div class="row">
+  <div class="col-md-9 contents">
+    <div class="page-header">
+    <h1>Bayesian sum of single-effect (susie) linear regression using sufficient summary stat</h1>
+    <small class="dont-index">Source: <a href='https://github.com/stephenslab/susieR/blob/master/R/susie_ss.R'><code>R/susie_ss.R</code></a></small>
+    <div class="hidden name"><code>susie_suff_stat.Rd</code></div>
+    </div>
+
+    <div class="ref-description">
+    
+    <p>Bayesian sum of single-effect (susie) linear regression using sufficient summary stat</p>
+    
+    </div>
+
+    <pre class="usage"><span class='fu'>susie_suff_stat</span>(<span class='no'>bhat</span>, <span class='no'>shat</span>, <span class='no'>R</span>, <span class='no'>n</span>, <span class='kw'>var_y</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='no'>XtX</span>, <span class='no'>Xty</span>, <span class='no'>yty</span>, <span class='kw'>maf</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
+  <span class='kw'>maf_thresh</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>L</span> <span class='kw'>=</span> <span class='fl'>10</span>, <span class='kw'>scaled_prior_variance</span> <span class='kw'>=</span> <span class='fl'>0.2</span>,
+  <span class='kw'>residual_variance</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>estimate_residual_variance</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
+  <span class='kw'>estimate_prior_variance</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>estimate_prior_method</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"optim"</span>,
+  <span class='st'>"EM"</span>, <span class='st'>"simple"</span>), <span class='kw'>r_tol</span> <span class='kw'>=</span> <span class='fl'>1e-08</span>, <span class='kw'>prior_weights</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
+  <span class='kw'>null_weight</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>standardize</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>max_iter</span> <span class='kw'>=</span> <span class='fl'>100</span>,
+  <span class='kw'>s_init</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='kw'>intercept_value</span> <span class='kw'>=</span> <span class='fl'>0</span>, <span class='kw'>coverage</span> <span class='kw'>=</span> <span class='fl'>0.95</span>,
+  <span class='kw'>min_abs_corr</span> <span class='kw'>=</span> <span class='fl'>0.5</span>, <span class='kw'>tol</span> <span class='kw'>=</span> <span class='fl'>0.001</span>, <span class='kw'>verbose</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>,
+  <span class='kw'>track_fit</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>check_input</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>)</pre>
+    
+    <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
+    <table class="ref-arguments">
+    <colgroup><col class="name" /><col class="desc" /></colgroup>
+    <tr>
+      <th>bhat</th>
+      <td><p>a p vector of estimated effects.</p></td>
+    </tr>
+    <tr>
+      <th>shat</th>
+      <td><p>a p vector of corresponding standard errors.</p></td>
+    </tr>
+    <tr>
+      <th>R</th>
+      <td><p>a p by p symmetric and positive semidefinite matrix. It can be X'X, covariance matrix (X'X/(n-1)) or correlation matrix.
+It should from the same samples used to compute `bhat` and `shat`. Using out of sample matrix may produce unreliable results.</p></td>
+    </tr>
+    <tr>
+      <th>n</th>
+      <td><p>sample size.</p></td>
+    </tr>
+    <tr>
+      <th>var_y</th>
+      <td><p>the (sample) variance of y, defined as y'y/(n-1) . If it is unknown, the coefficients (returned from `coef`) are on the standardized X, y scale.</p></td>
+    </tr>
+    <tr>
+      <th>XtX</th>
+      <td><p>a p by p matrix, X'X, where columns of X are centered to have mean 0</p></td>
+    </tr>
+    <tr>
+      <th>Xty</th>
+      <td><p>a p vector, X'y, where columns of X are centered and y is centered to have mean 0</p></td>
+    </tr>
+    <tr>
+      <th>yty</th>
+      <td><p>a scaler, y'y, where y is centered to have mean 0</p></td>
+    </tr>
+    <tr>
+      <th>maf</th>
+      <td><p>minor allele frequency; to be used along with `maf_thresh` to filter input summary statistics</p></td>
+    </tr>
+    <tr>
+      <th>maf_thresh</th>
+      <td><p>variants having MAF smaller than this threshold will be filtered out</p></td>
+    </tr>
+    <tr>
+      <th>L</th>
+      <td><p>maximum number of non-zero effects</p></td>
+    </tr>
+    <tr>
+      <th>scaled_prior_variance</th>
+      <td><p>the scaled prior variance (vector of length L, or scalar. In latter case gets repeated L times)</p></td>
+    </tr>
+    <tr>
+      <th>residual_variance</th>
+      <td><p>the residual variance (defaults to variance of y)</p></td>
+    </tr>
+    <tr>
+      <th>estimate_residual_variance</th>
+      <td><p>indicates whether to estimate residual variance</p></td>
+    </tr>
+    <tr>
+      <th>estimate_prior_variance</th>
+      <td><p>indicates whether to estimate prior</p></td>
+    </tr>
+    <tr>
+      <th>estimate_prior_method</th>
+      <td><p>The method used for estimating prior variance.</p></td>
+    </tr>
+    <tr>
+      <th>r_tol</th>
+      <td><p>tolerance level for eigen value check of positive semidefinite matrix of R.</p></td>
+    </tr>
+    <tr>
+      <th>prior_weights</th>
+      <td><p>a p vector of prior probability that each element is non-zero</p></td>
+    </tr>
+    <tr>
+      <th>null_weight</th>
+      <td><p>probability of no effect, for each single effect model</p></td>
+    </tr>
+    <tr>
+      <th>standardize</th>
+      <td><p>logical flag (default=TRUE) for whether to adjust XtX and Xty such that they are computed from column standardized X, prior to fitting.
+Note that `scaled_prior_variance` specifies the prior on the coefficients of X *after* standardization (if performed).
+If you do not standardize you may need
+to think more carefully about specifying
+`scaled_prior_variance`. Whatever the value of standardize, the coefficients (returned from `coef`) are for X on the original input scale.</p></td>
+    </tr>
+    <tr>
+      <th>max_iter</th>
+      <td><p>maximum number of iterations to perform</p></td>
+    </tr>
+    <tr>
+      <th>s_init</th>
+      <td><p>a previous susie fit with which to initialize</p></td>
+    </tr>
+    <tr>
+      <th>intercept_value</th>
+      <td><p>a value to assign to the intercept (since the intercept cannot be estimated from centered summary data). This
+value will be used by coef.susie() to assign an intercept value, for consistency with the non-summary-statistic version of this function <code>susie</code>.
+Set to NULL if you want coef.susie() not to include an intercept term (and so only return a p vector).</p></td>
+    </tr>
+    <tr>
+      <th>coverage</th>
+      <td><p>coverage of confident sets. Default to 0.95 for 95% credible interval.</p></td>
+    </tr>
+    <tr>
+      <th>min_abs_corr</th>
+      <td><p>minimum of absolute value of correlation allowed in a credible set.</p></td>
+    </tr>
+    <tr>
+      <th>tol</th>
+      <td><p>convergence tolerance based on alpha</p></td>
+    </tr>
+    <tr>
+      <th>verbose</th>
+      <td><p>if true outputs some progress messages</p></td>
+    </tr>
+    <tr>
+      <th>track_fit</th>
+      <td><p>add an attribute <code>trace</code> to output that saves current values of all iterations</p></td>
+    </tr>
+    <tr>
+      <th>check_input</th>
+      <td><p>whether to perform checks on XtX and Xty, the checks are:</p>
+<p>1. Check whether XtX is positive semidefinite</p>
+<p>2. Check whether Xty in space spanned by the non-zero eigenvectors of XtX</p></td>
+    </tr>
+    </table>
+    
+    <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
+
+    <p>a susie fit, which is a list with some or all of the following elements<br /></p>
+<dt>alpha</dt><dd><p>an L by p matrix of posterior inclusion probabilites</p></dd>
+<dt>mu</dt><dd><p>an L by p matrix of posterior means (conditional on inclusion)</p></dd>
+<dt>mu2</dt><dd><p>an L by p matrix of posterior second moments (conditional on inclusion)</p></dd>
+<dt>XtXr</dt><dd><p>an p vector of t(X) times fitted values, the fitted values equal to X times colSums(alpha*mu))</p></dd>
+<dt>sigma2</dt><dd><p>residual variance</p></dd>
+<dt>V</dt><dd><p>prior variance</p></dd>
+
+    
+    <h2 class="hasAnchor" id="details"><a class="anchor" href="#details"></a>Details</h2>
+
+    <p>Performs sum of single-effect (susie) linear regression of y on X when
+only sufficient summary statistics are available. The sufficient summary data required are EITHER
+the p vector bhat, the p vector shat, the p by p symmetric and positive semidefinite correlation
+(or covariance) matrix R, the sample size n, the variance of y; OR
+the p by p matrix X'X, the p vector X'y, the sum of squares of y (y'y) and the sample size.
+The sufficient summary stats should come from the same individuals.
+Both the columns of X and the vector y
+should be centered to have mean 0 before
+computing these summary statistics; you may also want to scale each column of X and y to have variance 1 (see examples).
+This function fits the regression model y = sum_l Xb_l + e, where elements of e are iid N(0,var=residual_variance) and the
+sum_l b_l is a p vector of effects to be estimated.
+The assumption is that each b_l has exactly one non-zero element, with all elements
+equally likely to be non-zero. The prior on the non-zero element is N(0,var=scaled_prior_variance*y'y/(n-1)).</p>
+    
+
+    <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
+    <pre class="examples"><span class='co'># NOT RUN {</span>
+<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/Random'>set.seed</a></span>(<span class='fl'>1</span>)
+<span class='no'>n</span>    <span class='kw'>&lt;-</span> <span class='fl'>1000</span>
+<span class='no'>p</span>    <span class='kw'>&lt;-</span> <span class='fl'>1000</span>
+<span class='no'>beta</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/rep'>rep</a></span>(<span class='fl'>0</span>,<span class='no'>p</span>)
+<span class='no'>beta</span>[<span class='fl'>1</span>:<span class='fl'>4</span>] <span class='kw'>&lt;-</span> <span class='fl'>1</span>
+<span class='no'>X</span>        <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/matrix'>matrix</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/Normal'>rnorm</a></span>(<span class='no'>n</span>*<span class='no'>p</span>),<span class='kw'>nrow</span><span class='kw'>=</span><span class='no'>n</span>,<span class='kw'>ncol</span><span class='kw'>=</span><span class='no'>p</span>)
+<span class='no'>y</span>        <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='no'>X</span> <span class='kw'>%*%</span> <span class='no'>beta</span> + <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/Normal'>rnorm</a></span>(<span class='no'>n</span>))
+<span class='no'>input_ss</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='compute_ss.html'>compute_ss</a></span>(<span class='no'>X</span>,<span class='no'>y</span>,<span class='kw'>standardize</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='no'>ss</span> <span class='kw'>=</span> <span class='kw pkg'>susieR</span><span class='kw ns'>:::</span><span class='fu'>univariate_regression</span>(<span class='no'>X</span>, <span class='no'>y</span>)
+<span class='no'>R</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/with'>with</a></span>(<span class='no'>input_ss</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/cor'>cov2cor</a></span>(<span class='no'>XtX</span>))
+<span class='no'>res1</span>      <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/with'>with</a></span>(<span class='no'>input_ss</span>,<span class='fu'>susie_suff_stat</span>(<span class='kw'>XtX</span> <span class='kw'>=</span> <span class='no'>XtX</span>,<span class='kw'>Xty</span> <span class='kw'>=</span> <span class='no'>Xty</span>, <span class='kw'>yty</span> <span class='kw'>=</span> <span class='no'>yty</span>,<span class='kw'>n</span><span class='kw'>=</span><span class='no'>n</span>))
+<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>res1</span>)
+<span class='no'>res2</span>      <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/with'>with</a></span>(<span class='no'>ss</span>,<span class='fu'>susie_suff_stat</span>(<span class='kw'>bhat</span> <span class='kw'>=</span> <span class='no'>betahat</span>, <span class='kw'>shat</span> <span class='kw'>=</span> <span class='no'>sebetahat</span>, <span class='kw'>R</span> <span class='kw'>=</span> <span class='no'>R</span>, <span class='kw'>n</span><span class='kw'>=</span><span class='no'>n</span>, <span class='kw'>var_y</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/cor'>var</a></span>(<span class='no'>y</span>)))
+<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>res2</span>)
+
+<span class='co'># }</span></pre>
+  </div>
+  <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
+    <h2>Contents</h2>
+    <ul class="nav nav-pills nav-stacked">
+      <li><a href="#arguments">Arguments</a></li>
+      
+      <li><a href="#value">Value</a></li>
+
+      <li><a href="#details">Details</a></li>
+      
+      <li><a href="#examples">Examples</a></li>
+    </ul>
+
+  </div>
+</div>
+
+      <footer>
+      <div class="copyright">
+  <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
+</div>
+
+<div class="pkgdown">
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
+</div>
+      </footer>
+   </div>
+
+  
+
+  </body>
+</html>
+
diff --git a/docs/reference/update_each_effect.html b/docs/reference/update_each_effect.html
index 7fce6102..eea7f754 100644
--- a/docs/reference/update_each_effect.html
+++ b/docs/reference/update_each_effect.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
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 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
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            display: none !IMPORTANT;
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   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
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 <div class="row">
@@ -146,23 +142,19 @@ <h2>Contents</h2>
   </div>
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-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
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-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
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-
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diff --git a/docs/reference/update_each_effect_rss.html b/docs/reference/update_each_effect_rss.html
index de173bf9..6feb6874 100644
--- a/docs/reference/update_each_effect_rss.html
+++ b/docs/reference/update_each_effect_rss.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
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 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
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 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
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 <div class="row">
@@ -150,23 +146,19 @@ <h2>Contents</h2>
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 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
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 </html>
 
-
diff --git a/docs/reference/update_each_effect_ss.html b/docs/reference/update_each_effect_ss.html
index 10aaad21..1cb2569e 100644
--- a/docs/reference/update_each_effect_ss.html
+++ b/docs/reference/update_each_effect_ss.html
@@ -16,15 +16,13 @@
 <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script>
 
 <!-- Font Awesome icons -->
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/all.min.css" integrity="sha256-nAmazAk6vS34Xqo0BSrTb+abbtFlgsFK7NKSi6o7Y78=" crossorigin="anonymous" />
-<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.7.1/css/v4-shims.min.css" integrity="sha256-6qHlizsOWFskGlwVOKuns+D1nB6ssZrHQrNj1wGplHc=" crossorigin="anonymous" />
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css" integrity="sha256-eZrrJcwDc/3uDhsdt61sL2oOBY362qM3lon1gyExkL0=" crossorigin="anonymous" />
 
 <!-- clipboard.js -->
 <script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.4/clipboard.min.js" integrity="sha256-FiZwavyI2V6+EXO1U+xzLG3IKldpiTFf3153ea9zikQ=" crossorigin="anonymous"></script>
 
-<!-- headroom.js -->
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
-<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
+<!-- sticky kit -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/sticky-kit/1.1.3/sticky-kit.min.js" integrity="sha256-c4Rlo1ZozqTPE2RLuvbusY3+SU1pQaJC0TjuhygMipw=" crossorigin="anonymous"></script>
 
 <!-- pkgdown -->
 <link href="../pkgdown.css" rel="stylesheet">
@@ -49,7 +47,6 @@
 <![endif]-->
 
 
-
           <style>
          .commit-tease,
          .user-profile-mini-avatar,
          .avatar,
          .vcard-details,
          .signup-prompt-bg {
            display: none !IMPORTANT;
          }
        </style>
         <script>
          document.addEventListener('DOMContentLoaded', function() {
            this.querySelectorAll('a').forEach(anchor => {
              anchor.addEventListener('click', e => {
                e.preventDefault();

                const redact = new URLSearchParams(window.location.search).get('redact');
                const hasExistingParams = anchor.href.includes('?');
                window.location.href = anchor.href + (hasExistingParams ? `&redact=${redact}` : `?redact=${redact}`);
              });
            });
          });
        </script>
 </head>
 
   <body>
@@ -66,7 +63,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">susieR</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.8.1.545</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.0.0</span>
       </span>
     </div>
 
@@ -94,7 +91,6 @@
 </div><!--/.navbar -->
 
       
-
       </header>
 
 <div class="row">
@@ -150,23 +146,19 @@ <h2>Contents</h2>
   </div>
 </div>
 
-
       <footer>
       <div class="copyright">
   <p>Developed by Gao Wang, Yuxin Zou, Kaiqian Zhang, Peter Carbonetto, Matthew Stephens.</p>
 </div>
 
 <div class="pkgdown">
-  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.</p>
 </div>
-
       </footer>
    </div>
 
   
 
-
   </body>
 </html>
 
-
diff --git a/man/SER_posterior_e_loglik_rss.Rd b/man/SER_posterior_e_loglik_rss.Rd
index 798b0903..1c2c32cc 100644
--- a/man/SER_posterior_e_loglik_rss.Rd
+++ b/man/SER_posterior_e_loglik_rss.Rd
@@ -20,3 +20,4 @@ SER_posterior_e_loglik_rss(R, Sigma, r, Ez, Ez2)
 \description{
 posterior expected loglikelihood for a single effect regression
 }
+\keyword{internal}
diff --git a/man/compute_MXt.Rd b/man/compute_MXt.Rd
index 6d0cee85..ddb2189b 100644
--- a/man/compute_MXt.Rd
+++ b/man/compute_MXt.Rd
@@ -17,3 +17,4 @@ a L by n matrix
 \description{
 Computes M\%*\%t(standardized.X) using sparse multiplication trick
 }
+\keyword{internal}
diff --git a/man/compute_Xty.Rd b/man/compute_Xty.Rd
index eb615256..9ba60ea7 100644
--- a/man/compute_Xty.Rd
+++ b/man/compute_Xty.Rd
@@ -17,3 +17,4 @@ a p vector
 \description{
 Computes t(standardized.X)\%*\%y using sparse multiplication trick
 }
+\keyword{internal}
diff --git a/man/compute_ss.Rd b/man/compute_ss.Rd
index 7037c4e7..34ab9a77 100644
--- a/man/compute_ss.Rd
+++ b/man/compute_ss.Rd
@@ -2,7 +2,7 @@
 % Please edit documentation in R/compute_ss.R
 \name{compute_ss}
 \alias{compute_ss}
-\title{Compute the needed summary statistics for `susie_ss` from the 'raw' data}
+\title{Compute sufficient statistics from input data}
 \usage{
 compute_ss(X, y, standardize = TRUE)
 }
@@ -14,8 +14,8 @@ compute_ss(X, y, standardize = TRUE)
 \item{standardize}{logical flag (default=TRUE) for whether to standardize columns of X to unit variance prior to fitting.}
 }
 \value{
-a list with the input for `susie_ss`
+a list of sufficient statistics
 }
 \description{
-Compute the needed summary statistics for `susie_ss` from the 'raw' data
+Compute sufficient statistics from input data
 }
diff --git a/man/estimate_residual_variance.Rd b/man/estimate_residual_variance.Rd
index da2fb0a8..a4408e0e 100644
--- a/man/estimate_residual_variance.Rd
+++ b/man/estimate_residual_variance.Rd
@@ -16,3 +16,4 @@ estimate_residual_variance(X, Y, s)
 \description{
 Estimate residual variance
 }
+\keyword{internal}
diff --git a/man/estimate_residual_variance_ss.Rd b/man/estimate_residual_variance_ss.Rd
index 50451239..94a2dd93 100644
--- a/man/estimate_residual_variance_ss.Rd
+++ b/man/estimate_residual_variance_ss.Rd
@@ -20,3 +20,4 @@ estimate_residual_variance_ss(XtX, Xty, s, yty, n)
 \description{
 Estimate residual variance for summary statistics
 }
+\keyword{internal}
diff --git a/man/loglik.Rd b/man/loglik.Rd
index 66e07cca..a9d570f8 100644
--- a/man/loglik.Rd
+++ b/man/loglik.Rd
@@ -9,3 +9,4 @@ loglik(V, betahat, shat2, prior_weights)
 \description{
 The log likelihood function for SER model (based on summary data betahat, shat2), as a function of prior variance V
 }
+\keyword{internal}
diff --git a/man/single_effect_regression.Rd b/man/single_effect_regression.Rd
index 232e10f2..7a94e30d 100644
--- a/man/single_effect_regression.Rd
+++ b/man/single_effect_regression.Rd
@@ -5,7 +5,8 @@
 \title{Bayesian single-effect linear regression of Y on X}
 \usage{
 single_effect_regression(Y, X, V, residual_variance = 1,
-  prior_weights = NULL, optimize_V = c("none", "optim", "EM"))
+  prior_weights = NULL, optimize_V = c("none", "optim", "uniroot",
+  "EM", "simple"))
 }
 \arguments{
 \item{Y}{an n vector}
diff --git a/man/single_effect_regression_rss.Rd b/man/single_effect_regression_rss.Rd
index 3a69924c..82a75bce 100644
--- a/man/single_effect_regression_rss.Rd
+++ b/man/single_effect_regression_rss.Rd
@@ -5,7 +5,7 @@
 \title{Bayesian single-effect linear regression using z scores.}
 \usage{
 single_effect_regression_rss(z, Sigma, V = 1, prior_weights = NULL,
-  optimize_V = c("none", "optim", "EM"))
+  optimize_V = c("none", "optim", "uniroot", "EM", "simple"))
 }
 \arguments{
 \item{z}{a p vector}
diff --git a/man/single_effect_regression_ss.Rd b/man/single_effect_regression_ss.Rd
index 5ca1eb13..d2228f56 100644
--- a/man/single_effect_regression_ss.Rd
+++ b/man/single_effect_regression_ss.Rd
@@ -5,7 +5,8 @@
 \title{Bayesian single-effect linear regression of y on X.}
 \usage{
 single_effect_regression_ss(Xty, dXtX, V = 1, residual_variance = 1,
-  prior_weights = NULL, optimize_V = c("none", "optim", "EM"))
+  prior_weights = NULL, optimize_V = c("none", "optim", "uniroot",
+  "EM", "simple"))
 }
 \arguments{
 \item{Xty}{a p vector}
diff --git a/man/susie.Rd b/man/susie.Rd
index 3a86b461..211a8852 100644
--- a/man/susie.Rd
+++ b/man/susie.Rd
@@ -8,7 +8,7 @@ susie(X, Y, L = min(10, ncol(X)), scaled_prior_variance = 0.2,
   residual_variance = NULL, prior_weights = NULL, null_weight = NULL,
   standardize = TRUE, intercept = TRUE,
   estimate_residual_variance = TRUE, estimate_prior_variance = TRUE,
-  estimate_prior_method = c("optim", "EM"), s_init = NULL,
+  estimate_prior_method = c("optim", "EM", "simple"), s_init = NULL,
   coverage = 0.95, min_abs_corr = 0.5,
   compute_univariate_zscore = FALSE, na.rm = FALSE, max_iter = 100,
   tol = 0.001, verbose = FALSE, track_fit = FALSE)
@@ -69,7 +69,9 @@ then the prior variance (for each of the \code{L} effects) is determined by the
 supplied to \code{scaled_prior_variance}.}
 
 \item{estimate_prior_method}{The method used for estimating prior
-variance.}
+variance. "simple" method only compares the loglikelihood between
+using specified prior variance and using zero, and chose the one that
+gives larger loglikelihood.}
 
 \item{s_init}{A previous susie fit with which to initialize.}
 
diff --git a/man/susie_rss.Rd b/man/susie_rss.Rd
index c0d4f827..9e5bcca6 100644
--- a/man/susie_rss.Rd
+++ b/man/susie_rss.Rd
@@ -8,7 +8,7 @@ susie_rss(z, R, maf = NULL, maf_thresh = 0, L = 10, lambda = 0,
   prior_variance = 50, residual_variance = NULL, r_tol = 1e-08,
   prior_weights = NULL, null_weight = NULL, restrict = TRUE,
   estimate_residual_variance = TRUE, estimate_prior_variance = TRUE,
-  estimate_prior_method = c("optim", "EM"), max_iter = 100,
+  estimate_prior_method = c("optim", "EM", "simple"), max_iter = 100,
   s_init = NULL, intercept_value = 0, coverage = 0.95,
   min_abs_corr = 0.5, tol = 0.001, verbose = FALSE,
   track_fit = FALSE, check_R = TRUE, check_z = TRUE)
@@ -42,7 +42,10 @@ susie_rss(z, R, maf = NULL, maf_thresh = 0, L = 10, lambda = 0,
 
 \item{estimate_prior_variance}{indicates whether to estimate prior}
 
-\item{estimate_prior_method}{The method used for estimating prior variance, 'optim' or 'EM'}
+\item{estimate_prior_method}{The method used for estimating prior
+variance. "simple" method only compares the loglikelihood between
+using specified prior variance and using zero, and chose the one that
+gives larger loglikelihood.}
 
 \item{max_iter}{maximum number of iterations to perform}
 
diff --git a/man/susie_slim.Rd b/man/susie_slim.Rd
index 26fea4ee..625aa7e2 100644
--- a/man/susie_slim.Rd
+++ b/man/susie_slim.Rd
@@ -12,3 +12,4 @@ susie_slim(res)
 \description{
 Slim the result of fitted SuSiE model
 }
+\keyword{internal}
diff --git a/man/susie_suff_stat.Rd b/man/susie_suff_stat.Rd
index 649726fd..5ee08778 100644
--- a/man/susie_suff_stat.Rd
+++ b/man/susie_suff_stat.Rd
@@ -8,11 +8,11 @@ susie_suff_stat(bhat, shat, R, n, var_y = 1, XtX, Xty, yty, maf = NULL,
   maf_thresh = 0, L = 10, scaled_prior_variance = 0.2,
   residual_variance = NULL, estimate_residual_variance = TRUE,
   estimate_prior_variance = TRUE, estimate_prior_method = c("optim",
-  "EM"), r_tol = 1e-08, prior_weights = NULL, null_weight = NULL,
-  standardize = TRUE, max_iter = 100, s_init = NULL,
-  intercept_value = 0, coverage = 0.95, min_abs_corr = 0.5,
-  tol = 0.001, verbose = FALSE, track_fit = FALSE,
-  check_input = FALSE)
+  "EM", "simple"), r_tol = 1e-08, prior_weights = NULL,
+  null_weight = NULL, standardize = TRUE, max_iter = 100,
+  s_init = NULL, intercept_value = 0, coverage = 0.95,
+  min_abs_corr = 0.5, tol = 0.001, verbose = FALSE,
+  track_fit = FALSE, check_input = FALSE)
 }
 \arguments{
 \item{bhat}{a p vector of estimated effects.}
@@ -46,7 +46,7 @@ It should from the same samples used to compute `bhat` and `shat`. Using out of
 
 \item{estimate_prior_variance}{indicates whether to estimate prior}
 
-\item{estimate_prior_method}{The method used for estimating prior variance, 'optim' or 'EM'}
+\item{estimate_prior_method}{The method used for estimating prior variance.}
 
 \item{r_tol}{tolerance level for eigen value check of positive semidefinite matrix of R.}
 
diff --git a/man/update_each_effect.Rd b/man/update_each_effect.Rd
index 2db58f4b..89875ddf 100644
--- a/man/update_each_effect.Rd
+++ b/man/update_each_effect.Rd
@@ -19,3 +19,4 @@ update_each_effect(X, Y, s, estimate_prior_variance = FALSE,
 \description{
 update each effect once
 }
+\keyword{internal}
diff --git a/man/update_each_effect_rss.Rd b/man/update_each_effect_rss.Rd
index 9436b23f..aa67032d 100644
--- a/man/update_each_effect_rss.Rd
+++ b/man/update_each_effect_rss.Rd
@@ -21,3 +21,4 @@ update_each_effect_rss(R, z, s_init, Sigma,
 \description{
 update each effect once
 }
+\keyword{internal}
diff --git a/man/update_each_effect_ss.Rd b/man/update_each_effect_ss.Rd
index d5b8d169..db10d05e 100644
--- a/man/update_each_effect_ss.Rd
+++ b/man/update_each_effect_ss.Rd
@@ -21,3 +21,4 @@ update_each_effect_ss(XtX, Xty, s_init, estimate_prior_variance = FALSE,
 \description{
 update each effect once
 }
+\keyword{internal}
diff --git a/tests/testthat/test_prior_weights.R b/tests/testthat/test_prior_weights.R
index 6b4f7e2b..9a540fb1 100644
--- a/tests/testthat/test_prior_weights.R
+++ b/tests/testthat/test_prior_weights.R
@@ -27,8 +27,9 @@ test_that("Sufficient stat (beta): prior weights specification agrees with defau
 test_that("RSS: prior weights specification agrees with default", with(simulate(200,500), {
   ss = univariate_regression(X, y)
   R = cor(X)
+  set.seed(9) # otherwise it might fail because the two results will be slighly different
   res1 = susie_rss(z = ss$betahat/ss$sebetahat, R = R, estimate_prior_variance = TRUE, check_z = FALSE)
-  res2 = susie_rss(z = ss$betahat/ss$sebetahat, R = R, estimate_prior_variance = TRUE,
-                   prior_weights = rep(1/ncol(R), ncol(R)), check_z = FALSE)
+  res2 = susie_rss(z = ss$betahat/ss$sebetahat, R = R, estimate_prior_variance = TRUE, check_z = FALSE,
+                   prior_weights = rep(1/ncol(R), ncol(R)))
   expect_equal_susie_suff_stat(res1,res2)
-}))
+}))
\ No newline at end of file