Further study on testing the equality of response rates under Dallal’s model

Paired binary data naturally arises when paired body parts are investigated in clinical trials. In this paper, we will further study whether the response rates of g (g ≥ 2) groups are equal under Dallal’s model and propose eight test statistics (Ta L^a, T^aW, T^a SC, T^aR, T^bL, T^bW, T^b SC and T^bR expressions of these tests are derived. The simulation results show that likelihood ratio and Wald-type tests are not robust with respect to empirical type I error rates (TIEs). The score and Ronser-type tests can produce satisfactory TIEs and power, and therefore are recommended. A real example is given to illustrate the proposed methods.