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Hands-on Hypothesis Testing

This repository contains mini-projects that I worked on to consolidate my knowledge on hypothesis testing.

Summary for Future Reference

Test Name Use Case Data Type Notes
One-sample t-test Compare sample mean to known population mean One numerical variable Assumes normal distribution
Two-sample t-test Compare means between two independent groups Numerical, two groups Use Welch’s t-test if variances unequal
Paired t-test Compare means before/after (same subjects) Numerical, paired samples Repeated measures
Z-test for proportions Compare sample proportion to population proportion Categorical (binary) Large sample size
Two-proportion z-test Compare proportions between two independent groups Categorical (binary) Large samples
Chi-square test Test association between two categorical variables Categorical For contingency tables
ANOVA Compare means among 3+ groups Numerical with categorical groups Assumes equal variances
Mann-Whitney U test Compare medians of two independent groups Numerical, not normally distributed Non-parametric
Wilcoxon signed-rank test Compare paired samples (non-parametric) Numerical, paired data Alternative to paired t-test