VALIDITY AND APPLICABILITY OF TESTS FOR ORDERED ALTERNATIVES WITH BINARY RESPONSE FOR A CLINICAL DOSE-RESPONSE STUDY

This paper examines type I error rates and powers of several tests for ordered alternatives of a clinical dose-response study of a drug with dichotomous responses. The tests are analogues of tests for ordered alternatives for means of normal populations with known common variances. The tests are derived assuming asymptotic normality of estimates of response rates and are called large sample approximate tests. Type I error rates and powers of these tests are investigated through exact enumeration of the product binomial probabilities. The results show that Bartholomew's chi-bar test and Williams type test can be used in relatively small samples and also give high power for broad ordered alternatives.