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	ケンドールの順位相関係数 (Kendall's Tau Rank Correlation)	効果量分析
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1938	1969 (first edition); 1988 (definitive second edition)
提唱者	Maurice G. Kendall	Jacob Cohen
種類	Nonparametric rank correlation	Standardized magnitude estimation
原典	Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 30(1/2), 81–93.	Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum Associates. ISBN: 978-0805802832
別名	Kendall tau, Kendall rank correlation, tau-b, tau-c	effect magnitude estimation, standardized effect measure, practical significance analysis, ES analysis
関連	4	4
概要	Kendall's tau is a nonparametric measure of the ordinal association between two variables. It quantifies how consistently the relative ordering of one variable matches the ordering of another across all observation pairs, making it robust to outliers and suitable for ordinal or non-normally distributed data.	Effect size analysis quantifies the practical magnitude of a statistical result independently of sample size. Rather than asking only whether a difference or relationship is statistically significant, it asks how large it is, using standardized indices such as Cohen's d, eta-squared, omega-squared, or Pearson's r that allow direct comparison across studies and populations.