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  2. Kolmogorov–Smirnov test - Wikipedia

    en.wikipedia.org/wiki/KolmogorovSmirnov_test

    Illustration of the KolmogorovSmirnov statistic. The red line is a model CDF, the blue line is an empirical CDF, and the black arrow is the KS statistic.. 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 2.2), one-dimensional probability distributions.

  3. Normality test - Wikipedia

    en.wikipedia.org/wiki/Normality_test

    KolmogorovSmirnov test: this test only works if the mean and the variance of the normal distribution are assumed known under the null hypothesis, 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 chi-squared test.

  4. Lilliefors test - Wikipedia

    en.wikipedia.org/wiki/Lilliefors_test

    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 population, when the null hypothesis does not specify which normal distribution; i.e., it does not specify the expected value and variance of the distribution. [1]

  5. List of statistical tests - Wikipedia

    en.wikipedia.org/wiki/List_of_statistical_tests

    Some tests perform univariate analysis on a single sample with a single variable. ... KolmogorovSmirnov test: interval: 1: Normality test: distribution parameters ...

  6. Goodness of fit - Wikipedia

    en.wikipedia.org/wiki/Goodness_of_fit

    Such measures can be used in statistical hypothesis testing, e.g. to test for normality of residuals, to test whether two samples are drawn from identical distributions (see KolmogorovSmirnov test), or whether outcome frequencies follow a specified distribution (see Pearson's chi-square test). In the analysis of variance, one of the ...

  7. Nonparametric statistics - Wikipedia

    en.wikipedia.org/wiki/Nonparametric_statistics

    KolmogorovSmirnov test: tests whether a sample is drawn from a given distribution, or whether two samples are drawn from the same distribution. Kruskal–Wallis one-way analysis of variance by ranks: tests whether > 2 independent samples are drawn from the same distribution.

  8. List of analyses of categorical data - Wikipedia

    en.wikipedia.org/wiki/List_of_analyses_of...

    This is a list of statistical procedures which can be used for the analysis of categorical data, also known as data on the nominal scale and as categorical variables. General tests [ edit ]

  9. Minimum-distance estimation - Wikipedia

    en.wikipedia.org/wiki/Minimum-distance_estimation

    Most theoretical studies of minimum-distance estimation, and most applications, make use of "distance" measures which underlie already-established goodness of fit tests: the test statistic used in one of these tests is used as the distance measure to be minimised. Below are some examples of statistical tests that have been used for minimum ...