2014
DOI: 10.1080/15598608.2014.890983
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Beta Regression Models: Joint Mean and Variance Modeling

Abstract: In this paper joint mean and variance beta regression models are proposed. The proposed models are fitted by applying the Bayesian method and assuming normal prior distribution for the regression parameters. An analysis of synthetic and real data is included, assuming the proposed model, together with a comparison of the result obtained assuming joint modeling of the mean and precision parameters.

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Cited by 21 publications
(14 citation statements)
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“…Due to the complexity of the performed models (univariate, multiple and for repeated measures beta regression models), Bayesian inference, based on Markov Chain Monte Carlo (MCMC) method, was adopted as model estimation procedure [33]). The goodness of fit of the models was evaluated by pseudo-R 2 (ranges 0-1) computed as the square of the correlation between the fitted values (drawn from the posterior predictive distribution) and the observed values [34].…”
Section: Discussionmentioning
confidence: 99%
“…Due to the complexity of the performed models (univariate, multiple and for repeated measures beta regression models), Bayesian inference, based on Markov Chain Monte Carlo (MCMC) method, was adopted as model estimation procedure [33]). The goodness of fit of the models was evaluated by pseudo-R 2 (ranges 0-1) computed as the square of the correlation between the fitted values (drawn from the posterior predictive distribution) and the observed values [34].…”
Section: Discussionmentioning
confidence: 99%
“…As a consequence, using the maximum likelihood of the beta regression model, the use-intensification levels of SAT of the household farmers in the area were isolated. A modification of the beta density parameterization in terms of the variate mean and a precision parameter underpins the beta regression model [21]. In its most general form, the probability beta density y-B (p, q) for the dependent variable y is defined as; ϝ(y; p, q) = ( )…”
Section: Methodsmentioning
confidence: 99%
“…It is commonly used in fields such as education, finance, and social sciences. (Cepeda-Cuervo, 2015).…”
Section: Beta Regression Modelmentioning
confidence: 99%