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Open Source Software + JOSS + 2475-9066 + + 10.21105/joss + https://joss.theoj.org + + + + + 09 + 2024 + + + 9 + + 101 + + + + piar: Price Index Aggregation in R + + + + Steve + Martin + https://orcid.org/0000-0003-2544-9480 + + + + 09 + 06 + 2024 + + + 6781 + + + 10.21105/joss.06781 + + + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + + + + Software archive + 10.5281/zenodo.13323298 + + + GitHub review issue + https://github.com/openjournals/joss-reviews/issues/6781 + + + + 10.21105/joss.06781 + https://joss.theoj.org/papers/10.21105/joss.06781 + + + https://joss.theoj.org/papers/10.21105/joss.06781.pdf + + + + + + R: A language and environment for statistical +computing + R Core Team + 2024 + R Core Team. (2024). R: A language +and environment for statistical computing. R Foundation for Statistical +Computing. https://www.R-project.org/ + + + Price and quantity index +numbers + Balk + 10.1017/CBO9780511720758 + 2008 + Balk, B. M. (2008). Price and +quantity index numbers. Cambridge University Press. +https://doi.org/10.1017/CBO9780511720758 + + + Index theory and price +statistics + von der Lippe + 10.3726/978-3-653-01120-3 + 2007 + von der Lippe, P. (2007). Index +theory and price statistics. Peter Lang. +https://doi.org/10.3726/978-3-653-01120-3 + + + Consumer price index manual: Concepts and +methods + IMF + 10.5089/9781484354841.069 + 2020 + IMF, ILO, Eurostat, UNECE, OECD, +& World Bank. (2020). Consumer price index manual: Concepts and +methods. International Monetary Fund. +https://doi.org/10.5089/9781484354841.069 + + + Producer price index manual: Theory and +practice + ILO + 10.5089/9781589063044.069 + 2004 + ILO, IMF, OECD, UNECE, & World +Bank. (2004). Producer price index manual: Theory and practice. +International Monetary Fund. +https://doi.org/10.5089/9781589063044.069 + + + IndexNumber: An R Package for Measuring the +Evolution of Magnitudes + Saavedra-Nieves + The R Journal + 1 + 13 + 10.32614/RJ-2021-038 + 2021 + Saavedra-Nieves, A., & +Saavedra-Nieves, P. (2021). IndexNumber: An R Package for Measuring the +Evolution of Magnitudes. The R Journal, 13(1), 253–275. +https://doi.org/10.32614/RJ-2021-038 + + + IndexNumR: Index number +calculation + White + 10.32614/CRAN.package.IndexNumR + 2023 + White, G. (2023). IndexNumR: Index +number calculation. +https://doi.org/10.32614/CRAN.package.IndexNumR + + + cansim: Accessing Statistics Canada data table +and vectors + von Bergmann + 10.32614/CRAN.package.cansim + 2021 + von Bergmann, J., & Shkolnik, D. +(2021). cansim: Accessing Statistics Canada data table and vectors. +https://doi.org/10.32614/CRAN.package.cansim + + + cpi + Welsh + 2024 + Welsh, B. (2024). cpi. +https://github.com/palewire/cpi + + + micEconIndex: Price and quantity +indices + Henningsen + 10.32614/CRAN.package.micEconIndex + 2022 + Henningsen, A. (2022). micEconIndex: +Price and quantity indices. +https://doi.org/10.32614/CRAN.package.micEconIndex + + + hpiR: House price indexes + Krause + 10.32614/CRAN.package.hpiR + 2020 + Krause, A. (2020). hpiR: House price +indexes. +https://doi.org/10.32614/CRAN.package.hpiR + + + PriceIndices: Calculating bilateral and +multilateral price indexes + Białek + 10.32614/CRAN.package.PriceIndices + 2024 + Białek, J. (2024). PriceIndices: +Calculating bilateral and multilateral price indexes. +https://doi.org/10.32614/CRAN.package.PriceIndices + + + rsmatrix: Matrices for repeat-sales price +indexes + Martin + 10.5281/zenodo.10110159 + 2023 + Martin, S. (2023). rsmatrix: Matrices +for repeat-sales price indexes. +https://doi.org/10.5281/zenodo.10110159 + + + Technical guide for the for-hire motor carrier +freight services price index (FHMCFSPI) + Mustafa + 2023 + Mustafa, M. (2023). Technical guide +for the for-hire motor carrier freight services price index (FHMCFSPI). +Prices Analytical Series, Statistics Canada Catalogue no. +62F0014M. + + + Technical guide for the couriers and +messengers services price index (CMSPI) + Mustafa + 2023 + Mustafa, M. (2023). Technical guide +for the couriers and messengers services price index (CMSPI). Prices +Analytical Series, Statistics Canada Catalogue no. +62F0014M. + + + + + + From 7e20a85754042610dc78d88edb20f278eba32be4 Mon Sep 17 00:00:00 2001 From: The Open Journals editorial robot <89919391+editorialbot@users.noreply.github.com> Date: Fri, 6 Sep 2024 13:58:31 +0100 Subject: [PATCH 3/3] Creating 10.21105.joss.06781.jats --- .../paper.jats/10.21105.joss.06781.jats | 448 ++++++++++++++++++ 1 file changed, 448 insertions(+) create mode 100644 joss.06781/paper.jats/10.21105.joss.06781.jats diff --git a/joss.06781/paper.jats/10.21105.joss.06781.jats b/joss.06781/paper.jats/10.21105.joss.06781.jats new file mode 100644 index 0000000000..f6dc63f948 --- /dev/null +++ b/joss.06781/paper.jats/10.21105.joss.06781.jats @@ -0,0 +1,448 @@ + + +

+ + + + +Journal of Open Source Software +JOSS + +2475-9066 + +Open Journals + + + +6781 +10.21105/joss.06781 + +piar: Price Index Aggregation in R + + + +https://orcid.org/0000-0003-2544-9480 + +Martin +Steve + + + + + +Statistics Canada, Ottawa, ON, Canada + + + + +9 +4 +2024 + +9 +101 +6781 + +Authors of papers retain copyright and release the +work under a Creative Commons Attribution 4.0 International License (CC +BY 4.0) +2022 +The article authors + +Authors of papers retain copyright and release the work under +a Creative Commons Attribution 4.0 International License (CC BY +4.0) + + + +R +economics +inflation +official statistics + + + + + + Summary +

The systematic inflation of prices for goods and services over time + is a ubiquitous feature of modern economies. A price index is the main + empirical tool to measure changes in prices over time, and + consequently price indexes are a core macroeconomic statistic produced + by national statistical agencies to measure and study inflation. Price + indexes are often made with a two-step procedure—especially those + coming from national statistical agencies—where period-over-period + indexes are calculated for a large collection of well-defined goods + and services at each point in time and aggregated according to a + hierarchical structure + (ILO + et al., 2004; + IMF + et al., 2020). These aggregated indexes can then be chained + together to form a collection of time series that give the evolution + of prices in the economy with respect to a fixed point in time.

+

piar is an R + (R Core + Team, 2024) package for aggregating price indexes. It contains + a collection of functions that revolve around the usual two-step work + flow for computing price indexes, making it easy to build large, + hierarchical indexes using the methods described in the literature + (e.g., Balk, + 2008; + IMF + et al., 2020; + von + der Lippe, 2007). piar is designed to be + useful for both researching new sources of data and methods to + construct price indexes, and the regular production of price + statistics. It is targeted towards economists, statisticians, and data + scientists working at national statistical agencies, central banks, + financial institutions, and in academia that want to measure and study + the evolution of prices over time. piar is + currently used to produce several price indexes at Statistics Canada + (e.g., + Mustafa, + 2023a, + 2023b).

+
+ + Statement of need +

piar fills a gap in the open-source + ecosystem for measuring inflation by providing a tool to build large, + hierarchical price indexes. There are several R and Python packages + for accessing price indexes published by national statistical agencies + (e.g., + von + Bergmann & Shkolnik, 2021; + Welsh, + 2024), but these are not suitable for computing new indexes or + researching new methods and data sources to measure inflation.

+

To compute a price index, the micEconIndex + (Henningsen, + 2022) and IndexNumbers + (Saavedra-Nieves + & Saavedra-Nieves, 2021) packages implement text-book + index-number formulas to measure the change in prices over time for a + collection of goods and services. These methods, however, are seldom + directly used in practice; for example, most text-book index-number + formulas use information on both prices and quantities over time, but + quantity information is rarely available in most cases. The + IndexNumR + (White, + 2023) and PriceIndices + (Białek, + 2024) packages implement a variety of more sophisticated + methods to build price indexes with high-frequency retail scanner data + (in addition to the text-book methods). Similarly, the + hpiR + (Krause, + 2020) and rsmatrix + (Martin, + 2023) packages implement methods that are applicable to housing + data. Although these more advanced methods are directly used in + practice to make price indexes for certain types of goods and + services, they are not suitable for constructing the conventional + price indexes that cover a wide range of products or industries.

+

In contrast to existing tools, piar provides + a flexible interface to build large, hierarchical price indexes over + time in a way that is suitable for both the data and methods used to + make large-scale measures of inflation. Part of this flexible design + means that pre-computed indexes can serve as an input to a larger + index, alongside other sources of price data (e.g., survey data), and + so piar complements existing tools in R by + providing a framework for integrating different index-number methods + with heterogeneous sources of data.

+
+ + Example +

The goal of this example is to illustrate some of the core features + of piar by building a typical industry price + index with synthetic data. The built-in + ms_prices dataset has random price data for + five businesses over four quarters, and the + ms_weights dataset contain weights that give + the relative importance of these businesses in their respective + industries. Note that these data have a fairly realistic pattern of + missing data (e.g., there are no prices for businesses + B5), and, although small, are emblematic of the + kinds of survey data used to measure inflation.

+ head(ms_prices) + #> period business product price +#> 1 202001 B1 1 1.14 +#> 2 202001 B1 2 NA +#> 3 202001 B1 3 6.09 +#> 4 202001 B2 4 6.23 +#> 5 202001 B2 5 8.61 +#> 6 202001 B2 6 6.40 + ms_weights + #> business classification weight +#> 1 B1 11 553 +#> 2 B2 11 646 +#> 3 B3 11 312 +#> 4 B4 12 622 +#> 5 B5 12 330 +

The first step to build a price index with these data is to make + business-level indexes—so called elemental or elementary indexes—that + serve as the building blocks for the industry-level indexes. The + elemental_index() function makes elemental + indexes using information on the change in price for the products sold + by each business (price relatives) in each quarter. By default + elemental_index() makes a Jevons index, but any + bilateral generalized-mean index is possible. Note that price data + here are in levels, not changes, but the + price_relative() function can make the + necessary conversion and construct a numeric vector of price relatives + for each product. Missing price relatives are ignored by setting + na.rm = TRUE.

+ elementals <- ms_prices |> + transform( + relative = price_relative(price, period = period, product = product) + ) |> + elemental_index(relative ~ period + business, na.rm = TRUE) + +elementals + #> Period-over-period price index for 4 levels over 4 time periods +#> 202001 202002 202003 202004 +#> B1 1 0.8949097 0.3342939 NaN +#> B2 1 NaN NaN 2.770456 +#> B3 1 2.0200036 1.6353355 0.537996 +#> B4 NaN NaN NaN 4.576286 +

With the elemental indexes out of the way, it’s time to transform + the weights to make a price-index aggregation structure that maps each + business to its position in the hierarchical industry structure. Each + business has a two-digit industry classification that’s first unpacked + with the expand_classification() function to + make the aggregation hierarchy and then combined with the weights to + make an aggregation structure.

+ ms_weights[c("level1", "level2")] <- + expand_classification(ms_weights$classification) + +pias <- ms_weights[c("level1", "level2", "business", "weight")] + +pias + #> level1 level2 business weight +#> 1 1 11 B1 553 +#> 2 1 11 B2 646 +#> 3 1 11 B3 312 +#> 4 1 12 B4 622 +#> 5 1 12 B5 330 +

It is now simple to aggregate the business-level indexes according + to this aggregation structure with the + aggregate() function and chain them together to + get the evolution of prices over time. Missing elemental indexes are + ignored by setting na.rm = TRUE.

+ ms_index <- aggregate(elementals, pias, na.rm = TRUE) + +chain(ms_index) + #> Fixed-base price index for 8 levels over 4 time periods +#> 202001 202002 202003 202004 +#> 1 1 1.3007239 1.3827662 3.7815355 +#> 11 1 1.3007239 1.3827662 2.1771866 +#> 12 1 1.3007239 1.3827662 6.3279338 +#> B1 1 0.8949097 0.2991629 0.4710366 +#> B2 1 1.3007239 1.3827662 3.8308934 +#> B3 1 2.0200036 3.3033836 1.7772072 +#> B4 1 1.3007239 1.3827662 6.3279338 +#> B5 1 1.3007239 1.3827662 6.3279338 +

In addition to calculating the aggregated industry indexes (the + first three rows above), missing elemental indexes have been filled in + to ensure that the index can be chained over time while remaining + consistent in aggregation. There are a variety of methods to + manipulate the index objects that come from these computations in + order to compose more complex workflows for building price + indexes.

+
+ + Acknowledgements +

I am grateful for many useful conversations with the research staff + at Statistics Canada, and in particular with Xin Ha, that have + improved piar.

+

The views and opinions expressed in this paper are my own and do + not necessarily reflect those of the Government of Canada.

+
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