One sample tests of location for nonnormal symmetric data

A. M. Carolan and J. C. W. Rayner

Communications in Statistics - Theory and Methods, 2000, vol. 29, issue 7, 1569-1581

Abstract: A score test of location is derived for data from a distorted normal distribution. A simulation study compares the performance of this test to the t-test and Wilcoxon test for symmetric data from such a distribution. For this type of data the score test can be considerably more powerful than both the t-test and Wilcoxon test. This suggests that such a score test may be useful in practice when variations from normality can be modeled by such a family of distributions.

Date: 2000
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DOI: 10.1080/03610920008832565

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