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2. Shapiro–Wilk test - Wikipedia

   en.wikipedia.org/wiki/Shapiro–Wilk_test

   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 ).

3. PS Power and Sample Size - Wikipedia

   en.wikipedia.org/wiki/PS_Power_and_Sample_Size

   The P program can be used for studies with dichotomous, continuous, or survival response measures. The user specifies the alternative hypothesis in terms of differing response rates, means, survival times, relative risks, or odds ratios.

4. Shapiro–Francia test - Wikipedia

   en.wikipedia.org/wiki/Shapiro–Francia_test

   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 .

5. Power (statistics) - Wikipedia

   en.wikipedia.org/wiki/Power_(statistics)

   WebPower Free online statistical power analysis (https://webpower.psychstat.org) Free and open source online calculators (https://powerandsamplesize.com) PowerUp! provides convenient excel-based functions to determine minimum detectable effect size and minimum required sample size for various experimental and quasi-experimental designs.

6. Wilks' theorem - Wikipedia

   en.wikipedia.org/wiki/Wilks'_theorem

   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.

7. Wilks's lambda distribution - Wikipedia

   en.wikipedia.org/wiki/Wilks's_lambda_distribution

   Computations or tables of the Wilks' distribution for higher dimensions are not readily available and one usually resorts to approximations. One approximation is attributed to M. S. Bartlett and works for large m [2] allows Wilks' lambda to be approximated with a chi-squared distribution

8. Martin Wilk - Wikipedia

   en.wikipedia.org/wiki/Martin_Wilk

   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 .

9. Likelihood-ratio test - Wikipedia

   en.wikipedia.org/wiki/Likelihood-ratio_test

   A simple-vs.-simple hypothesis test has completely specified models under both the null hypothesis and the alternative hypothesis, which for convenience are written in terms of fixed values of a notional parameter :