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The Validation of a Beta-Binomial Model for Overdispersed Binomial Data.


ABSTRACT: The beta-binomial model has been widely used as an analytically tractable alternative that captures the overdispersion of an intra-correlated, binomial random variable, X. However, the model validation for X has been rarely investigated. As a beta-binomial mass function takes on a few different shapes, the model validation is examined for each of the classified shapes in this paper. Further, the mean square error (MSE) is illustrated for each shape by the maximum likelihood estimator (MLE) based on a beta-binomial model approach and the method of moments estimator (MME) in order to gauge when and how much the MLE is biased.

SUBMITTER: Kim J 

PROVIDER: S-EPMC5736152 | biostudies-literature | 2017

REPOSITORIES: biostudies-literature

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The Validation of a Beta-Binomial Model for Overdispersed Binomial Data.

Kim Jongphil J   Lee Ji-Hyun JH  

Communications in statistics: Simulation and computation 20161111 2


The beta-binomial model has been widely used as an analytically tractable alternative that captures the overdispersion of an intra-correlated, binomial random variable, <i>X</i>. However, the model validation for <i>X</i> has been rarely investigated. As a beta-binomial mass function takes on a few different shapes, the model validation is examined for each of the classified shapes in this paper. Further, the mean square error (MSE) is illustrated for each shape by the maximum likelihood estimat  ...[more]

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