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The choice of cells in chi-square tests. (English) Zbl 0591.62037

The choice of cells - the number and the position of cells - is a classical problem in the application of tests based on cell frequencies. In this paper the author discusses some results in this area and compares the Pearson chi-square test with related tests, especially the likelihood ratio test, for local and contiguous alternatives.
The main point of this investigation concerns the case of a simple hypothesis, but location-scale-models and tests of independence in contingency tables are also considered.
Reviewer: H.Büning

MSC:

62G10 Nonparametric hypothesis testing
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