Unconditional Versions of Several Tests Commonly Used in the Analysis of Contingency Tables

摘要

By focusing on a confidence interval for a nuisance parameter, Berger and Boos (1994, Journal of the American Statistical Association 89, 1012-1016) proposed new unconditional tests. In particular, they showed that for a 2 * 2 table, this procedure generally was more powerful than Fisher's exact test. This paper utilizes and extends their approach to obtain unconditional tests for combining several 2 * 2 tables and testing fro trend and homogeity in a 2 * K table. The unconditional procedures are compared to the conditional ones by reanalyzing some published biomedical data.