An Approximate Likelihood Ratio Method for Testing Equality of Two Dependent Proportions

This study considers an approximate likelihood ratio test for equality of two dependent proportions. A bivariate probability distribution of a specified form is assumed and the likelihood ratio statistic is approximated from this distribution. The distribution accounts for the correlation of the underlying two binomial random variables. The application of the procedure on data resulting from treatment of TB patients shows that the proposed test can be used as an alternative test for data involving non-response.