Robustness to Non-Normality of Various Tests For the One-Sample Location Problem |
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| Authors: | Michelle K McDougall Glen D Rayner |
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| Institution: |
a School of Information Technology, Deakin University.
b Fellow, Institute of Mathematical Modelling and Computational Systems, Unversity of Wollongong. |
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| Abstract: | 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 distribution of MacGillivray and Cannon 5]. |
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