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Lilliefors' normalitetstest

Lilliefors-testen er en goodness-of-fit-test, der undersøger, om en kontinuert stikprøve stammer fra en normal (eller eksponentiel) fordeling, når middelværdi og varians er ukendte og estimeret ud fra dataene. Den blev introduceret af Hubert W. Lilliefors i 1967 og justerer de kritiske værdier for Kolmogorov-Smirnov-testen, så de forbliver gyldige, når fordelingens parametre er estimeret snarere end kendt på forhånd.

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  1. 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: 10.1080/01621459.1967.10482916
  2. Dallal, G. E., & Wilkinson, L. (1986). An Analytic Approximation to the Distribution of Lilliefors's Test Statistic for Normality. The American Statistician, 40(4), 294-296. DOI: 10.1080/00031305.1986.10475419

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ScholarGate. (2026, June 1). Lilliefors Test for Normality with Mean and Variance Unknown. ScholarGate. https://scholargate.app/da/statistics/lilliefors-test

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ScholarGateLilliefors Test (Lilliefors Test for Normality with Mean and Variance Unknown). Hentet 2026-06-15 fra https://scholargate.app/da/statistics/lilliefors-test · Datasæt: https://doi.org/10.5281/zenodo.20539026