Correctings tests for trend in proportions for skewness |
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Authors: | Robert E Tarone |
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Institution: | Mathematical Statistics and Applied Mathematics Section , National Cancer Institute , Bethesda, MD, 20205, USA |
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Abstract: | We develop the score test for the hypothesis that a parameter of a Markov sequence is constant over time, against the alternatives that it varies over time, i.e., θt = θ + Ut; t = 1,2,…, where {Ut; t = 1,2,...} is a sequence of independently and identically distributed random variables with mean zero and variance σz u and θ is a fixed constant. The asymptotic null distribution of the test statistic is proved to be normal. We illustrate our procedure by examples and a real life data analysis. |
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Keywords: | Cochran-Armitage trend test type I error Cornish-Fisher expansion coefficient of skeurmess |
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