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列联表中的序列依赖AI 解读

SUMMARY A simple and useful representation is given for the asymptotic behaviour of the Pearson χ 2 test of independence in two-way contingency tables. This is used to analyse the statistic when the data are generated by Markov chains. A robustness result, showing when the Markov dependence has no effect on the usual limiting χ2 distribution, is also given.

列联表观测的序列依赖及卡方统计量修正AI 解读

The asymptotic behaviour of the Pearson goodness-of-fit test and of the test of independence in 2 × 2 tables is examined when the data are generated by Markov dependent sequences. The results allow simple quantification of the effects of such serial dependence on some standard test statistics.