Topic: Chi-Square Tests of Independence and Homogeneity

Writing Conclusions Without Causal Overreach

Why Chi-Square Tests Use the Right Tail

The Pearson Chi-Square Statistic

Standardized Residuals for Cell-Level Diagnosis

Sparse Expected Counts and Alternative Methods

Reading Residual Patterns Across a Table

Reading Chi-Square Software Output

Phi as an Effect Measure for 2×2 Tables

Pearson Residuals and Cell Contributions

Odds Ratios as Effect Measures in 2×2 Tables