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A modification of the test of Shapiro and Wilk for normality

Author

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  • M. Mahibbur Rahman
  • Z. Govindarajulu

Abstract

The W statistic of Shapiro and Wilk provides the best omnibus test of normality, but its application is limited up to n= 50. This study modifies W, such that it can be extended for all sample sizes. The critical values of W, i.e. the modification of W, is given for n up to 5000. The empirical moments show that the null distribution of W is skewed to the left and is consistant for all sample sizes. Empirical powers of W are also comparable with those of W.

Suggested Citation

  • M. Mahibbur Rahman & Z. Govindarajulu, 1997. "A modification of the test of Shapiro and Wilk for normality," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(2), pages 219-236.
    • Handle: RePEc:taf:japsta:v:24:y:1997:i:2:p:219-236
    DOI: 10.1080/02664769723828
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    Cited by:

    1. Jurgita Arnastauskaitė & Tomas Ruzgas & Mindaugas Bražėnas, 2021. "An Exhaustive Power Comparison of Normality Tests," Mathematics, MDPI, vol. 9(7), pages 1-20, April.
    2. Bunyaratavej, Kraiwinee & Hahn, Eugene D. & Doh, Jonathan P., 2007. "International offshoring of services: A parity study," Journal of International Management, Elsevier, vol. 13(1), pages 7-21, March.
    3. Kevin P. Heanue, 2008. "Measuring Industrial Agglomeration in a Rural Industry: The Case of Irish Furniture Manufacturing," Working Papers 0830, Rural Economy and Development Programme,Teagasc.
    4. Mohd. Sadiq & Azra Parveen & S. K. Jain, 2021. "Software Requirements Selection with Incomplete Linguistic Preference Relations," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 63(6), pages 669-688, December.

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