Abstract
Assessing goodness-of-fit for bivariate discrete distributions, using the classical Pearson chisquared statistic, is much less straightforward than in univariate situations due to the relatively large number of classes with low expectation and the two-way structure. In this paper three procedures for grouping into chi-squared classes are examined (one row-based, one column-based, one using ordered expected-frequencies). Approximate asymptotic power has been computed for each procedure, using two minimum-expected-frequency criteria (4 and 1), applied to a variety of bivariate Poisson and compound Poisson distributions. In the light of these comparisons, the 'ordered-frequencies' method is recommended as a simple systematic standard procedure. The choice of minimum group size had relatively little effect.
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