A Comparison Of Tests Of Homogeneity For Sparse Contingency Tables
Abbreviated Journal Title
Commun. Stat.-Simul. Comput.
Statistics & Probability
Five tests of homogeneity for a 2x(k+l) contingency table are compared using Monte Carlo techniques. For these studiesit is assumed that k becomes large in such a way that thecontingency table is sparse for 2xk of the cells, but the sample size in two of the cells remains large. The test statistics studied are: the chi-square approximation to the Pearson test statistic, the chi-square approximation to the likelihood ratio statistic, the normal approximation to Zelterman's (1984)the normal approximation to Pearson's chi-square, and the normal approximation to the likelihood ratio statistic. For the range of parameters studied the chi-square approximation to Pearson's statistic performs consistently well with regard to its size and power.
Communications in Statistics-Simulation and Computation
Kraemer, Dale F. and Woolson, R. F., "A Comparison Of Tests Of Homogeneity For Sparse Contingency Tables" (1987). Faculty Bibliography 1980s. 881.