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Anderson-Darling normalitetstest×Lilliefors' normalitetstest×
FagområdeStatistikStatistik
FamilieRegression modelRegression model
Oprindelsesår19521967
OphavspersonAnderson & Darling (1952); EDF tables by Stephens (1974)Hubert W. Lilliefors
TypeEmpirical distribution function (EDF) goodness-of-fit testGoodness-of-fit / normality test
Oprindelig kildeAnderson, 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 ↗Lilliefors, H. W. (1967). On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown. Journal of the American Statistical Association, 62(318), 399-402. DOI ↗
AliasserAnderson-Darling Normallik Testi, A-squared test, AD test, Anderson-Darling goodness-of-fit testLilliefors corrected Kolmogorov-Smirnov test, Lilliefors normality test, Lilliefors Testi
Relaterede55
ResuméThe 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 Lilliefors test is a goodness-of-fit test that checks whether a continuous sample comes from a normal (or exponential) distribution when the mean and variance are unknown and estimated from the data. Introduced by Hubert W. Lilliefors in 1967, it adjusts the critical values of the Kolmogorov-Smirnov test so that they remain valid once the distribution's parameters are estimated rather than known in advance.
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ScholarGateSammenlign metoder: Anderson-Darling Test · Lilliefors Test. Hentet 2026-06-19 fra https://scholargate.app/da/compare