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- W184396708 abstract "We examine the performance of the standard tests—the mean test, the t-test, the Wilcoxon test and the sign test—for testing that the measure of central tendency of a distribution is zero. We do this by comparing the Bahadur slopes in a contaminated normal model. We first establish the large deviation principle (LDP) and then calculate the Bahadur slopes for the standard test statistics when the observations come from a contaminated normal distribution. An examination of tables of Bahadur efficiencies reveals that the Wilcoxon test outperforms other tests in a neighborhood of the null hypothesis, even in the presence of moderate contamination, but not uniformly over the whole alternative hypothesis." @default.
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- W184396708 date "1997-01-01" @default.
- W184396708 modified "2023-09-23" @default.
- W184396708 title "The Large Deviation Principle for Common Statistical Tests Against a Contaminated Normal" @default.
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- W184396708 doi "https://doi.org/10.1007/978-1-4612-2308-5_16" @default.
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