Thomas Lumley • 2/10/2023

When is population mean rank a thing?

This technical article critiques the common but misleading description of Wilcoxon rank-sum and Kruskal-Wallis tests as comparing medians. It explains the modern, more accurate interpretation that these tests compare population mean ranks, contrasting them with t-tests (for means) and Mood's tests (for medians). The content delves into the observational and causal interpretations of these statistical tests, their assumptions, and calibration.

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#Statistical Tests #Nonparametric Statistics #Rank Tests