publication . Article . 2003

Type I Error Rate and Power of Three Normality Tests

Akin Pala; M. Mendeş;
Open Access
  • Published: 15 Apr 2003 Journal: Information Technology Journal, volume 2, pages 135-139 (issn: 1812-5638, Copyright policy)
  • Publisher: Science Alert
Abstract
In this study, Shapiro-Wilks, Lilliefors and Kolmogorov-Smirnov tests were compared for Type I error and for power of the tests. The simulation was run 100, 000 times for different situations and for different types of departures from normality. For all different sample sizes and distributions, Shapiro-Wilks gave the most powerful results, followed by the Lilliefors test. Kolmogorov-Smirnov test results were the weakest among all three tests. All three test were most powerful when ran on data with exponential distribution.
doi: 10.3923/itj.2003.135.139
Subjects
free text keywords: Computer Science (miscellaneous), Lilliefors test, Type I and type II errors, Normality, media_common.quotation_subject, media_common, Normality test, ANOVA on ranks, Sample size determination, Familywise error rate, Exponential distribution, Computer science, Statistics
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