Binary Regression Using an Extended Beta-Binomial Distribution, With Discussion of Correlation Induced by Covariate Measurement Errors
本文扩展了贝塔-二项分布以允许负相关，提出了二元变量响应率和配对相关的回归模型，并讨论了协变量测量误差作为过度离散唯一来源时的回归问题。
Abstract The beta-binomial distribution is extended to allow negative correlations among binary variates within an experimental unit. Regression models are proposed for both the binary variate response rate and for the pairwise correlation between binary variates, and corresponding likelihood estimation procedures are described. Binary regression problems are also considered, in which measurement errors in the regression variables represent the sole source of overdispersion. Some corresponding response rate estimation procedures are described and illustrated.