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Anderson-Darling正态性检验×夏皮罗-威尔克正态性检验×
领域统计学统计学
方法族Regression modelHypothesis test
起源年份19521965
提出者Anderson & Darling (1952); EDF tables by Stephens (1974)S. S. Shapiro & M. B. Wilk
类型Empirical distribution function (EDF) goodness-of-fit testNormality (goodness-of-fit) test
开创性文献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. DOI ↗Shapiro, S. S. & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52(3-4), 591–611. DOI ↗
别名Anderson-Darling Normallik Testi, A-squared test, AD test, Anderson-Darling goodness-of-fit testShapiro-Wilk W test, W test for normality, Shapiro-Wilk normallik testi
相关52
摘要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 Shapiro-Wilk test is a hypothesis test that checks whether a continuous variable was drawn from a normal distribution. It was introduced by Samuel Shapiro and Martin Wilk in 1965 and is regarded as one of the most powerful normality tests, recommended for sample sizes below 5000.
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ScholarGate方法对比: Anderson-Darling Test · Shapiro-Wilk test. 于 2026-06-19 检索自 https://scholargate.app/zh/compare