Abstract
Now it can be seen immediately that the log expansion is only valid if 10El <E. If this condition does not hold in even one cell then x2 should not be computed. Further, the convergence of the series may be slow if 10-EI is of the order of E. As it is now computationally easy to calculate XML there seems to be no reason for the continued use of Pearson's approximation, especially as it is frequently not valid to do so anyway. There are additional advantages to using the X2. statistic as it is additive whereas Pearson's is not. This is especially important in the analysis of multidimensional contingency tables where one wishes to compare the goodness of fit of various models.
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