• Thumbnail for Kolmogorov–Smirnov test
    In statistics, the KolmogorovSmirnov test (also K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section...
    31 KB (3,909 words) - 09:43, 9 May 2025
  • Thumbnail for Hercules–Corona Borealis Great Wall
    reveal the significance of the clustering. The KolmogorovSmirnov test (K–S test) is a nonparametric test of the equality of continuous, one-dimensional...
    21 KB (2,279 words) - 23:44, 19 March 2025
  • Lilliefors test is a normality test based on the KolmogorovSmirnov test. It is used to test the null hypothesis that data come from a normally distributed...
    4 KB (438 words) - 21:33, 21 December 2024
  • Lilliefors test: based on the KolmogorovSmirnov test, adjusted for when also estimating the mean and variance from the data, Shapiro–Wilk test, and Pearson's...
    12 KB (1,627 words) - 12:37, 9 June 2025
  • hypothesis testing, e.g. to test for normality of residuals, to test whether two samples are drawn from identical distributions (see KolmogorovSmirnov test),...
    9 KB (1,150 words) - 17:39, 20 September 2024
  • power of the classic Kolmogorov-Smirnov test by introducing a delta in the empirical distribution function. The new test maintained test size and increased...
    11 KB (1,199 words) - 19:50, 26 May 2025
  • Anderson–Darling test Cramér–von Mises criterion D'Agostino's K-squared test KolmogorovSmirnov test Lilliefors test Normal probability plot Shapiro–Francia test Shapiro...
    7 KB (790 words) - 21:08, 20 April 2025
  • Kolmogorov–Smirnov_test#Two-sample_KolmogorovSmirnov_test Kuiper's test Median test Pearson's chi-squared test Student's t-test#Two-sample_t-tests Welch's t-test Tukey–Duckworth...
    2 KB (274 words) - 13:58, 9 December 2024
  • goodness of fit tests. Often the cases of the Cramér–von Mises criterion, the KolmogorovSmirnov test and the Anderson–Darling test are treated simultaneously...
    6 KB (696 words) - 23:51, 22 June 2024
  • Thumbnail for Andrey Kolmogorov
    Kolmogorov microscales Kolmogorov's normability criterion Fréchet–Kolmogorov theorem Kolmogorov space Kolmogorov complexity KolmogorovSmirnov test Wiener...
    31 KB (2,789 words) - 10:11, 26 June 2025
  • Kolmogorov's theorem is any of several different results by Andrey Kolmogorov: In statistics KolmogorovSmirnov test In real analysis Kolmogorov–Arnold...
    682 bytes (96 words) - 10:35, 13 June 2025
  • Kuiper test). It is named after Dutch mathematician Nicolaas Kuiper. Kuiper's test is closely related to the better-known KolmogorovSmirnov test (or K-S...
    7 KB (1,141 words) - 08:07, 17 June 2025
  • Thumbnail for Donsker's theorem
    laws of the same functionals of the Brownian bridge B(t), see the KolmogorovSmirnov test. In 1949 Doob asked whether the convergence in distribution held...
    8 KB (1,090 words) - 06:33, 14 April 2025
  • samples is due to Anderson. The Cramér–von Mises test is an alternative to the KolmogorovSmirnov test (1933). Let x 1 , x 2 , … , x n {\displaystyle x_{1}...
    6 KB (949 words) - 22:58, 24 May 2025
  • Lepage test Cucconi test KolmogorovSmirnov test Wilcoxon signed-rank test Kruskal–Wallis one-way analysis of variance Brunner Munzel test Proportional...
    44 KB (5,746 words) - 09:56, 30 June 2025
  • Thumbnail for Cumulative distribution function
    population distribution. The KolmogorovSmirnov test is based on cumulative distribution functions and can be used to test to see whether two empirical...
    26 KB (4,110 words) - 15:38, 29 June 2025
  • Thumbnail for Nikolai Smirnov (mathematician)
    Andrey Kolmogorov, Smirnov developed the KolmogorovSmirnov test and participated in the creation of the Cramér–von Mises–Smirnov criterion. Smirnov made...
    7 KB (785 words) - 19:20, 17 February 2025
  • greater than Z j {\displaystyle Z_{j}} . KolmogorovSmirnov test Kuiper's test Shapiro–Wilk test Jarque–Bera test Goodness of fit Stephens, M. A. (1974)...
    15 KB (2,349 words) - 07:55, 29 April 2025
  • distances but not the signs. The KolmogorovSmirnov test has been shown to be more powerful than the Wald–Wolfowitz test for detecting differences between...
    6 KB (1,061 words) - 06:16, 15 April 2025
  • Wonderlic Test Iq test Trust metric Ames test Chi-squared test Draize test Dixon's Q test F-test Fisher's exact test GRIM test KolmogorovSmirnov test Kuiper's...
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  • tests are used to test the fit between a hypothesis and the data. Choosing the right statistical test is not a trivial task. The choice of the test depends...
    13 KB (753 words) - 22:50, 24 May 2025
  • Thumbnail for Total variation distance of probability measures
    {\displaystyle P} and Q {\displaystyle Q} , respectively. Total variation KolmogorovSmirnov test Wasserstein metric Chatterjee, Sourav. "Distances between probability...
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  • Thumbnail for Zipf's law
    distribution to the hypothesized power law distribution with a KolmogorovSmirnov test, and then comparing the (log) likelihood ratio of the power law...
    47 KB (4,651 words) - 20:45, 30 June 2025
  • Kendall's W: a measure between 0 and 1 of inter-rater agreement. KolmogorovSmirnov test: tests whether a sample is drawn from a given distribution, or whether...
    13 KB (1,692 words) - 00:24, 20 June 2025
  • Thumbnail for Benford's law
    test has been used to test for compliance with Benford's law it has low statistical power when used with small samples. The KolmogorovSmirnov test and...
    65 KB (7,473 words) - 03:52, 19 May 2025
  • Thumbnail for Time series
    coefficient Data interpreted as a probability distribution function KolmogorovSmirnov test Cramér–von Mises criterion Time series can be visualized with two...
    43 KB (5,025 words) - 15:47, 14 March 2025
  • Klinefelter's Syndrome, caused by a chromosome aneuploidy KolmogorovSmirnov test, a goodness-of-fit test for probability distributions Katawa Shoujo, A 2012...
    3 KB (374 words) - 22:42, 12 March 2025
  • Thumbnail for A/B testing
    A/B testing (also known as bucket testing, split-run testing or split testing) is a user-experience research method. A/B tests consist of a randomized...
    28 KB (3,033 words) - 14:35, 14 June 2025
  • Thumbnail for Brownian bridge
    theorem in the area of empirical processes. It is also used in the KolmogorovSmirnov test in the area of statistical inference. Let K = sup t ∈ [ 0 , 1 ]...
    7 KB (1,236 words) - 09:14, 2 May 2025
  • test is then made of whether a uniform distribution is appropriate for the constructed dataset. Examples of this are P–P plots and KolmogorovSmirnov...
    5 KB (893 words) - 13:04, 24 May 2025