Mixed beta regression: A Bayesian perspective

  • Authors:
  • Jorge I. Figueroa-ZúñIga;Reinaldo B. Arellano-Valle;Silvia L. P. Ferrari

  • Affiliations:
  • Department of Statistics, Universidad de Concepción, Santiago, Chile;Department of Statistics, Pontificia Universidad Católica de Chile, Santiago, Chile;Department of Statistics, Universidade de São Paulo, Brazil

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2013

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Abstract

This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with beta regression models with mixed effects from a Bayesian approach. We use a suitable parameterization of the beta law in terms of its mean and a precision parameter, and allow both parameters to be modeled through regression structures that may involve fixed and random effects. Specification of prior distributions is discussed, computational implementation via Gibbs sampling is provided, and illustrative examples are presented.