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Shapiro–Wilk Test with Known Mean

Zofia Hanusz, Joanna Tarasińska, Wojciech Zieliński

2022DOAJ (DOAJ: Directory of Open Access Journals)139 citationsDOIOpen Access PDF

Abstract

An adaptation of the Shapiro–Wilk W test to the case of normality with a known mean is considered. The table of critical values for different sample sizes and several significance levels is given. The power of the test is investigated and compared with the Kolmogorov test and the two-step procedure consisting of the Shapiro–Wilk W and t tests. Additionally, the normalizing coefficients for the test statistic are given.

Topics & Concepts

Test (biology)MathematicsGeologyPaleontologyFuzzy Systems and OptimizationStatistical Distribution Estimation and Applications