Abstract

CEPEDA-CUERVO, Edilberto. μσ ²-Beta and μσ ²-Beta Binomial Regression Models. Rev.Colomb.Estad. [online]. 2023, vol.46, n.1, pp.63-79.  Epub Jan 18, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v46n1.105335.

This paper proposes new parameterizations of the beta and beta binomial distributions as functions of the mean and variance parameters. From these new parameterizations, new beta and beta binomial linear regression models are formulated by assuming that appropriate real functions of the mean and variance follow linear regression structures. These models were fitted to real datasets by applying Bayesian methods, using the OpenBUGS software. The new beta regression models were fitted to the Dyslexia Reading Accuracy dataset and the new beta binomial regression models were applied to the School Absenteeism Dataset. In both cases, the results obtained by fitting these models were compared with those obtained by fitting the usual mean and dispersion beta regression models and the mean and dispersion beta binomial regression models, respectively.

Keywords : Mean and variance beta and beta binomial distributions; Beta and beta-binomial regression models; Bayesian methods.

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