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BETA REGRESSION FOR MODELLING RATES AND …

BETA REGRESSION FOR MODELLING RATES AND PROPORTIONSSILVIA FERRARID epartamento de Estat stica/IMEU niversidade de S ao PauloCaixa Postal 66281, S ao Paulo/SP, 05311 970, CRIBARI NETOD epartamento de Estat stica, CCENU niversidade Federal de PernambucoCidade Universit aria, Recife/PE, 50740 540, paper proposes a REGRESSION model where the response is beta distributedusing a parameterization of the beta law that is indexed by mean and dispersion pa-rameters. The proposed model is useful for situations where the variable of interest iscontinuous and restricted to the interval (0,1) and is related to other variables througha REGRESSION structure.

Beta distributions are very versatile and a variety of uncertanties can be usefully modelled by them. This flexibility encourages its empirical use in a wide range of ap-plications” (Johnson, Kotz and Balakrishnan, 1995, p. 235). Several applications of the beta distribution are discussed by Bury (1999) and by Johnson, Kotz and Balakrish-

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  Distribution, Rates, Modelling, Bates, Regression, Beta regression for modelling rates and, Beta distributions

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