Transcription of BETA REGRESSION FOR MODELLING RATES AND …
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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.
The proposed model is based on the assumption that the response is beta distributed. The beta distribution, as is well known, is very flexible for modelling proportions since its density can have quite different shapes depending on the values of the two parameters that index the distribution. The beta density is given by …(y;p;q) = Γ(p+q ...
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