Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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The Chi-squared Test of Independence for a Multi-way Contingency Table wish All Margins Fixed

  • Published : 1998.06.01
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Abstract

To test the hypothesis of complete or total independence for a multi-way contingency table, the Pearson chi-squared test statistic is usually employed under Poisson or multinomial models. It is well known that, under the hypothesis, this statistic follows an asymptotic chi-squared distribution. We consider the case where all marginal sums of the contingency table are fixed. Using conditional limit theorems, we show that the chi-squared test statistic has the same limiting distribution for this case.

Keywords

References

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