手法を比較

	アンダーソン-ダーリング正規性検定	2標本コルモゴロフ・スミルノフ検定
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1952	1948
提唱者	Anderson & Darling (1952); EDF tables by Stephens (1974)	N. V. Smirnov
種類	Empirical distribution function (EDF) goodness-of-fit test	Nonparametric two-sample distribution test
原典	Anderson, T. W., & Darling, D. A. (1952). Asymptotic Theory of Certain 'Goodness of Fit' Criteria Based on Stochastic Processes. The Annals of Mathematical Statistics, 23(2), 193-212.	Smirnov, N. V. (1948). Table for Estimating the Goodness of Fit of Empirical Distributions. Annals of Mathematical Statistics, 19(2), 279-281.
別名	Anderson-Darling Normallik Testi, A-squared test, AD test, Anderson-Darling goodness-of-fit test	KS two-sample test, two-sample KS test, İki Örneklem Kolmogorov-Smirnov Testi
関連	5	3
概要	The Anderson-Darling test is an empirical distribution function (EDF) goodness-of-fit test, introduced by Anderson and Darling in 1952, that checks whether a continuous sample comes from a specified distribution such as the normal, exponential, or Weibull. By weighting deviations more heavily in the tails, it detects departures in the distribution's extremes more powerfully than the Kolmogorov-Smirnov test.	The two-sample Kolmogorov-Smirnov test is a nonparametric procedure that asks whether two independent groups are drawn from the same continuous distribution. Building on Smirnov's 1948 tables, it compares the empirical cumulative distribution functions (CDFs) of the two samples and uses their maximum absolute distance as the test statistic.