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Exponential increase of the power of the independence and homogeneity chi-square tests with auxiliary information

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Publication:6340182

arXiv2005.02952MaRDI QIDQ6340182

Author name not available (Why is that?)

Publication date: 6 May 2020

Abstract: This paper is an extension of the work about the exponential increase of the power of two non-parametric tests: the Z-test and the chi-square goodness-of-fit test. Subject to having auxiliary information, it is possible to improve exponentially relative to the size of the sample the power of the famous chi-square tests of independence and homogeneity. Improving the power of these statistical tests by using auxiliary information makes it possible either to reduce the probability of accepting the null hypothesis under the alternative hypothesis, or to reduce the size of the sample necessary to reach a predefined power. The suggested method is computational and some simple statistical applications are presented to illustrate these results. The framework of this work is non-parametric, so it can be applied to any kind of data and any area using statistics.












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