Shapiro–Wilk Test with Known Mean


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



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


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.



How to Cite

Hanusz , Z., Tarasinska , J., & Zielinski , W. (2016). Shapiro–Wilk Test with Known Mean. REVSTAT-Statistical Journal, 14(1), 89–100.