手法を比較

	アンダーソン-ダーリング正規性検定	フランガー・キリーン分散均一性検定
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1952	1976
提唱者	Anderson & Darling (1952); EDF tables by Stephens (1974)	Michael A. Fligner & Timothy J. Killeen
種類	Empirical distribution function (EDF) goodness-of-fit test	Rank-based test for homogeneity of variances
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.	Fligner, M. A., & Killeen, T. J. (1976). Distribution-Free Two-Sample Tests for Scale. Journal of the American Statistical Association, 71(353), 210-213.
別名	Anderson-Darling Normallik Testi, A-squared test, AD test, Anderson-Darling goodness-of-fit test	Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi
関連	5	5
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 Fligner-Killeen test is a rank-based test that checks whether several independent groups share the same variance (scale). Introduced by Fligner and Killeen in 1976, it does not require the data to be normally distributed, making it a robust nonparametric alternative to the Levene and Bartlett tests.