ON OPTIMUM INVARIANT TESTS OF EQUALITY OF INTRACLASS CORRELATION-COEFFICIENTS

In this paper we address the problem of testing the equality of k intr aclass correlation coefficients based on samples from independent p-va riate normal populations, and explore various aspects of optimality th rough invariance. A UMPIU test is derived for k = 2. and LMMPIU test o f SenGupta and Vermeire (1986) is indicated for k > 2. Several approxi mately optimum invariant tests are also proposed. The tests are compar ed with the approximate LR tests and Fisher's Z-tests derived in Konis hi and Gupta (1987, 1989). As expected, the performance of the propose d tests turns out to be quite satisfactory and superior to the LR test s and Z-tests.