Abstract:Aiming at the problem of disease prevalence in stratified situation, the homogeneity test of binomial proportion (disease prevalence) is considered when the sensitivity and specificity of each strata are different in the presence of gold standard. Seven kinds of statistics based on the asymptotic test process and four kinds of statistics based on the bootstrap resampling test process are proposed, and the empirical type I error and the empirical power in various tests are compared by Monte Carlo simulation. The research shows that score statistics, likelihood ratio statistics and four kinds of test statistics based on bootstrap resampling have good statistical properties and are recommended to be used in the practice. Finally, a real data is further used to verify the proposed methods.