Shapiro–Wilk Test with Known Mean

Zofia Hanusz; Joanna Tarasinska; Wojciech Zielinski

doi:10.57805/revstat.v14i1.180

Shapiro–Wilk Test with Known Mean

Authors

Zofia Hanusz University of Life Sciences in Lublin
Joanna Tarasinska University of Life Sciences in Lublin
Wojciech Zielinski Warsaw University of Life Sciences

DOI:

https://doi.org/10.57805/revstat.v14i1.180

Keywords:

normality, Shapiro–Wilk test, Kolmogorov test, Student t test, power

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.

Downloads

REVSTAT2016v14n1_5

Published

2016-02-25

How to Cite

Hanusz , Z., Tarasinska , J., & Zielinski , W. (2016). Shapiro–Wilk Test with Known Mean. REVSTAT-Statistical Journal, 14(1), 89–100. https://doi.org/10.57805/revstat.v14i1.180