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- Kolmogorov–Smirnov_test abstract "In statistics, the Kolmogorov–Smirnov test (K–S test) is a nonparametric test for the equality of continuous, one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution (one-sample K–S test), or to compare two samples (two-sample K–S test). The Kolmogorov–Smirnov statistic quantifies a distance between the empirical distribution function of the sample and the cumulative distribution function of the reference distribution, or between the empirical distribution functions of two samples. The null distribution of this statistic is calculated under the null hypothesis that the samples are drawn from the same distribution (in the two-sample case) or that the sample is drawn from the reference distribution (in the one-sample case). In each case, the distributions considered under the null hypothesis are continuous distributions but are otherwise unrestricted.The two-sample K–S test is one of the most useful and general nonparametric methods for comparing two samples, as it is sensitive to differences in both location and shape of the empirical cumulative distribution functions of the two samples.The Kolmogorov–Smirnov test can be modified to serve as a goodness of fit test. In the special case of testing for normality of the distribution, samples are standardized and compared with a standard normal distribution. This is equivalent to setting the mean and variance of the reference distribution equal to the sample estimates, and it is known that using these to define the specific reference distribution changes the null distribution of the test statistic: see below. Various studies have found that, even in this corrected form, the test is less powerful for testing normality than the Shapiro–Wilk test or Anderson–Darling test. However, other tests have their own disadvantages. For instance the Shapiro-Wilk test is known not to work well with many ties (many identical values).".
- Kolmogorov–Smirnov_test thumbnail KS_Example.png?width=300.
- Kolmogorov–Smirnov_test wikiPageID "16714".
- Kolmogorov–Smirnov_test wikiPageRevisionID "605482141".
- Kolmogorov–Smirnov_test id "p/k055740".
- Kolmogorov–Smirnov_test title "Kolmogorov-Smirnov test".
- Kolmogorov–Smirnov_test subject Category:Non-parametric_statistics.
- Kolmogorov–Smirnov_test subject Category:Normality_tests.
- Kolmogorov–Smirnov_test subject Category:Statistical_methods.
- Kolmogorov–Smirnov_test subject Category:Statistical_tests.
- Kolmogorov–Smirnov_test comment "In statistics, the Kolmogorov–Smirnov test (K–S test) is a nonparametric test for the equality of continuous, one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution (one-sample K–S test), or to compare two samples (two-sample K–S test).".
- Kolmogorov–Smirnov_test label "Kolmogorov-Smirnovtoets".
- Kolmogorov–Smirnov_test label "Kolmogorov–Smirnov test".
- Kolmogorov–Smirnov_test label "Kolmogorow-Smirnow-Test".
- Kolmogorov–Smirnov_test label "Prueba de Kolmogórov-Smirnov".
- Kolmogorov–Smirnov_test label "Test Kołmogorowa-Smirnowa".
- Kolmogorov–Smirnov_test label "Test de Kolmogorov-Smirnov".
- Kolmogorov–Smirnov_test label "Test di Kolmogorov-Smirnov".
- Kolmogorov–Smirnov_test label "Teste Kolmogorov-Smirnov".
- Kolmogorov–Smirnov_test label "Критерий согласия Колмогорова".
- Kolmogorov–Smirnov_test label "コルモゴロフ-スミルノフ検定".
- Kolmogorov–Smirnov_test label "柯尔莫诺夫-斯米尔诺夫检验".
- Kolmogorov–Smirnov_test sameAs Kolmogorov%E2%80%93Smirnov_test.
- Kolmogorov–Smirnov_test sameAs Kolmogorovův-Smirnovův_test.
- Kolmogorov–Smirnov_test sameAs Kolmogorow-Smirnow-Test.
- Kolmogorov–Smirnov_test sameAs Prueba_de_Kolmogórov-Smirnov.
- Kolmogorov–Smirnov_test sameAs Kolmogorov-Smirnov_froga.
- Kolmogorov–Smirnov_test sameAs Test_de_Kolmogorov-Smirnov.
- Kolmogorov–Smirnov_test sameAs Test_di_Kolmogorov-Smirnov.
- Kolmogorov–Smirnov_test sameAs コルモゴロフ-スミルノフ検定.
- Kolmogorov–Smirnov_test sameAs Kolmogorov-Smirnovtoets.
- Kolmogorov–Smirnov_test sameAs Test_Kołmogorowa-Smirnowa.
- Kolmogorov–Smirnov_test sameAs Teste_Kolmogorov-Smirnov.
- Kolmogorov–Smirnov_test sameAs Q575766.
- Kolmogorov–Smirnov_test sameAs Q575766.
- Kolmogorov–Smirnov_test wasDerivedFrom Kolmogorov–Smirnov_test?oldid=605482141.
- Kolmogorov–Smirnov_test depiction KS_Example.png.
