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Lilliefors' normalitetstest×Anderson-Darling normalitetstest×
FagområdeStatistikStatistik
FamilieRegression modelRegression model
Oprindelsesår19671952
OphavspersonHubert W. LillieforsAnderson & Darling (1952); EDF tables by Stephens (1974)
TypeGoodness-of-fit / normality testEmpirical distribution function (EDF) goodness-of-fit test
Oprindelig kildeLilliefors, 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 ↗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 ↗
AliasserLilliefors corrected Kolmogorov-Smirnov test, Lilliefors normality test, Lilliefors TestiAnderson-Darling Normallik Testi, A-squared test, AD test, Anderson-Darling goodness-of-fit test
Relaterede55
ResuméThe 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.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.
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ScholarGateSammenlign metoder: Lilliefors Test · Anderson-Darling Test. Hentet 2026-06-19 fra https://scholargate.app/da/compare