Title: Testing homogeneity of proportions from sparse binomial data with a large number of groups,
Abstract: In this paper, we consider testing the homogeneity for proportions in
independent binomial distributions especially when data are sparse for large
number of groups. We provide broad aspects of our proposed tests such as
theoretical studies, simulations and real data application. We present the
asymptotic null distributions and asymptotic powers for our proposed tests and
compare their performance with existing tests. Our simulation studies show that
none of tests dominate the others, however our proposed test and a few tests
are expected to control given sizes and obtain significant powers. We also
present a real example regarding safety concerns associated with Avandiar
(rosiglitazone) in Nissen and Wolsky (2007).