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Generalized Binomial Regression Model
Author(s) -
Famoye Felix
Publication year - 1995
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710370508
Subject(s) - binomial regression , negative binomial distribution , count data , mathematics , quasi likelihood , statistics , regression analysis , generalized linear model , negative multinomial distribution , binomial distribution , binomial (polynomial) , binomial test , beta binomial distribution , econometrics , poisson distribution
The generalized negative binomial distribution has been found useful in fitting over‐dispersed as well as under‐dispersed count data. We define and study the generalized binomial regression model which is used to predict a count response variable affected by one or more explanatory variables. The methods of maximum likelihood and moments are given for estimating the model parameters. Approximate tests for the adequacy of the model are considered. The generalized binomial regression model has been applied to two observed data sets to which binomial regression model was applied earlier.