FULL LIKELIHOOD PROCEDURE FOR ANALYZING EXCHANGEABLE BINARY DATA

被引：82

作者：

GEORGE, EO ^{[1
]}

BOWMAN, D ^{[1
]}

机构：

[1] UNIV MISSISSIPPI,DEPT MATH,OXFORD,MS 38677

来源：

BIOMETRICS | 1995年 / 51卷 / 02期

关键词：

EQUATION MAXIMUM LIKELIHOOD ESTIMATES; BETA-BINOMIAL; DEVELOPMENTAL TOXICITY DATA; GENERALIZED ESTIMATING;

D O I：

10.2307/2532939

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A full-likelihood procedure is proposed for analyzing correlated binary data under the assumption of exchangeability. The binomial and beta-binomial models are shown to occur as special cases corresponding, respectively, to the choice of degenerate and beta-mixing distributions. For a finite exchangeable binary sequence of random variables, expressions for the joint distribution, moments, and correlations of all orders are derived. Maximum likelihood estimates of the moments of all orders are computed and used to estimate correlations and the distribution of the number of responses in a cluster. In an application to developmental toxicology data analysis, the procedure introduced is compared with a beta-binomial and a generalized estimating equation procedure in which mean response and intralitter correlation are linked to dose.

引用

页码：512 / 523

页数：12

共 26 条

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[2]

BOWMAN D, 1994, IN PRESS ESTIMATING

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