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

 

A. Bere and C. Chimedza (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. Journal of Statistical Research, Vol. 41, No. 2, pp.  73-81.

 

Abstract

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 $ \lambda $. We present here the results of a comparative simulation study on the accuracy of the chi-squared approximation for two members of the family ($ \lambda=1 $ and $ \lambda=2/3 $) when they are used for goodness-of-fit testing in sparse contingency tables.

 

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