Statistical Inference On Exchangeable Binary Data

The exchangeable the binary random variable model in actual has a widespread application background, it can be applied in medicine toxicity research,social investigation,psychology research and some other fields. Concerning the research of the binary random variable model, it is always consider the mean and the second correlation of the response variable first, but the mean and the second correlation can't completely decide the distributions of the response variable. So it's necessary to introduce high order correlation model, and the model becomes more complex owing to the introduction of high order correlation. The exchangeable the binary random variable model can deal with any order correlation simply and efficiently, and simplify the model.This article mainly take Georg and Kodell (1996, JASJ), Georg and Bowman (1995, Biometrics) these two articles as a background, summarized the newest research results about the exchangeable the binary random variable model: the expansion of the nonparametric likelihood ratio test, such as independence test,heterogeneity test,dose-trend test,complete likelihood method and so on, and base that discuss the expansion and significance of the model. The binary random variable model can deal with any order correlation simply and efficiently, and simplify the model.