Abstract: Testing for homogeneity in an exponential mixture model (Karl Mosler and Wilfried Seidel)
Diagnostic procedures are studied to test for homogeneity against unobserved heterogeneity in an exponential mixture model. The procedures include a dispersion score test, a likelihood ratio test, a moment likelihood approach and several goodness-of-fit tests. The empirical power of these tests is compared on a broad range of alternatives. We propose a new test, which combines the dispersion score test with a properly chosen goodness-of-fit procedure; its empirical power comes close to the power of the best of the other tests.