手法を比較

	独立標本t検定	マン・ホイットニーのU検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1908	1947
提唱者	Student (W. S. Gosset)	H. B. Mann & D. R. Whitney
種類	Parametric mean comparison	Nonparametric two-group comparison
原典	Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25.	Mann, H. B. & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60.
別名	student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi	Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
関連	4	4
概要	The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.	The Mann-Whitney U test is the nonparametric alternative to the independent samples t-test, comparing two independent groups by ranking all observations together rather than relying on their means. It was introduced by H. B. Mann and D. R. Whitney in 1947 and does not require the data to be normally distributed.