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Hypothesis test

Kolmogorov-Smirnov Test

Kolmogorov-Smirnov (KS) testen er en ikke-parametrisk goodness-of-fit test, der vurderer, om en stikprøve stammer fra en specificeret teoretisk fordeling, såsom normal- eller eksponentialfordelingen. Først formaliseret af Andrey Kolmogorov i 1933 og videreudviklet af Nikolai Smirnov i 1948, sammenligner den den empiriske kumulative fordelingsfunktion for de observerede data mod en teoretisk kumulativ fordelingsfunktion (CDF) og kvantificerer deres maksimale absolutte afvigelse.

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Kilder

  1. Kolmogorov, A. N. (1933). Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Istituto Italiano degli Attuari, 4, 83–91. link
  2. Smirnov, N. V. (1948). Table for estimating the goodness of fit of empirical distributions. Annals of Mathematical Statistics, 19(2), 279–281. DOI: 10.1214/aoms/1177730256
  3. Massey, F. J. (1951). The Kolmogorov-Smirnov test for goodness of fit. Journal of the American Statistical Association, 46(253), 68–78. DOI: 10.2307/2280095
  4. Conover, W. J. (1999). Practical Nonparametric Statistics (3rd ed.). Wiley. ISBN: 978-0471160687

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ScholarGate. (2026, June 1). Kolmogorov-Smirnov Goodness-of-Fit Test. ScholarGate. https://scholargate.app/da/statistics/kolmogorov-smirnov

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ScholarGateKolmogorov-Smirnov Test (Kolmogorov-Smirnov Goodness-of-Fit Test). Hentet 2026-06-15 fra https://scholargate.app/da/statistics/kolmogorov-smirnov · Datasæt: https://doi.org/10.5281/zenodo.20539026