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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 ).
Shapiro–Wilk test, and Pearson's chi-squared test . A 2011 study concludes that Shapiro–Wilk has the best power for a given significance, followed closely by Anderson–Darling when comparing the Shapiro–Wilk, Kolmogorov–Smirnov, Lilliefors, and Anderson–Darling tests.
The Shapiro–Francia test is a statistical test for the normality of a population, based on sample data. It was introduced by S. S. Shapiro and R. S. Francia in 1972 as a simplification of the Shapiro–Wilk test .
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]
Richard Lowry's Predictive Values and Likelihood Ratios Online Clinical Calculator This page was last edited on 20 July 2024, at 09:11 (UTC). Text is available under ...
In statistics, Wilks' theorem offers an asymptotic distribution of the log-likelihood ratio statistic, which can be used to produce confidence intervals for maximum-likelihood estimates or as a test statistic for performing the likelihood-ratio test.
JASP features seven common modules that are enabled by default: Descriptives: Explore the data with tables and plots.; T-Tests: Evaluate the difference between two means. ...
Martin Bradbury Wilk, OC (18 December 1922 – 19 February 2013) [1] [2] was a Canadian statistician, academic, and the former chief statistician of Canada. In 1965, together with Samuel Shapiro , he developed the Shapiro–Wilk test , which can indicate whether a sample of numbers would be unusual if it came from a Gaussian distribution .