Issue: Vol 41 No 2 (2007)

Volume 41 Number 2, 2007

A comparative study of the accuracy of the chi-squared approximation for the power-divergence statistic and Pearson’s chi-squared statistic in sparse contingency tables

The Power divergence family of statistics was introduced by Cressie and Read
in 1984. The likelihood ratio statistic and the Pearson’s chi-squared statistic are
examples of the many members of the power divergency family which are linked
through a family parameter \lmbda. We present here the results of a comparative simulation
study on the accuracy of the chi-squared approximation for two members
of the family (\lambda =1 and \lambda= \frac{2}{3}) when they are used for goodness-of-fit testing in sparse contingency tables.

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