The power of some tests of normality against weibull alternatives

Abstract

The powers of the Kolmogorov-Smirnov, Weisberg-Bingham and Anderson-Darling tests of normality are determined by Monte Carlo sampling ror Weibull alternatives with 10 shape parameters ranging from 1.0 to 10.0 and seven sample sizes from 10 to 100. There is, in general, good agreement at the relatively few points for which power values have previously been published. The usefulness of examining the power as a function of the parameter(s) of an alternate distribution family is outlined.

Keywords:

• tests of normality
• Weibull distribution
• Kolmogorov-Smirnov test
• Weisberg-Bingham test
• Anderson-Darling test
• Shapiro-Wilk test
• Shapiro-Francia test
• power
• isodynes