Robustness to non-normality of various tests for the one-sample location problem (Q556516)
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scientific article; zbMATH DE number 2177620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robustness to non-normality of various tests for the one-sample location problem |
scientific article; zbMATH DE number 2177620 |
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Robustness to non-normality of various tests for the one-sample location problem (English)
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21 June 2005
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Summary: This paper studies the effect of the normal distribution assumption on the power and size of the sign test, Wilcoxon's signed rank test and the \(t\)-test when used in one-sample location problems. Power functions for these tests under various skewness and kurtosis conditions are produced for several sample sizes from simulated data using the \(g\)- and \(k\)-\,distributions of \textit{H. L. MacGillivray} and \textit{W. H. Cannon} [Generalizations of the \(g\)- and \(k\)-\,distributions and their use. Working paper (1998)].
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power
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quantile function
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sign test
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size
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\(t\) test
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Wilcoxon's signed rank test
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