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The Shapiro–Wilk test tests the null hypothesis that a sample x 1, ..., x n came from a normally distributed population. The test statistic is = (= ()) = (¯), where with parentheses enclosing the subscript index i is the ith order statistic, i.e., the ith-smallest number in the sample (not to be confused with ).
Kolmogorov–Smirnov 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 Kolmogorov–Smirnov test, adjusted for when also estimating the mean and variance from the data, Shapiro–Wilk test, and; Pearson's chi-squared test.
Download as PDF; Printable version; In other projects Wikidata item; ... Shapiro–Wilk test This page was last edited on 8 February 2024, at 10:40 (UTC). ...
Shapiro–Wilk test: interval: univariate: 1: Normality test: sample size between 3 and 5000 [16] Kolmogorov–Smirnov test: interval: 1: Normality test: distribution parameters known [16] Shapiro-Francia test: interval: univariate: 1: Normality test: Simpliplification of Shapiro–Wilk test Lilliefors test: interval: 1: Normality test
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Assumption checks for all analyses, including Levene's test, Brown-Forsythe test, Shapiro–Wilk test, Q–Q plot, and other residual plots. ... PDF, HTML etc. export ...
Kolmogorov–Smirnov test; Cramér–von Mises criterion; Anderson–Darling test; Berk-Jones tests [1] [2] Shapiro–Wilk test; Chi-squared test; Akaike information criterion; Hosmer–Lemeshow test; Kuiper's test; Kernelized Stein discrepancy [3] [4] Zhang's Z K, Z C and Z A tests [5] Moran test; Density Based Empirical Likelihood Ratio tests [6]
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