TITLE:
Quasi-Binomial Regression Model for the Analysis of Data with Extra-Binomial Variation
AUTHORS:
Mohamed M. Shoukri, Maha M. Aleid
KEYWORDS:
Quasi-Binomial Distribution, Extra Binomial Variations, Score Test, Quasi-Binomial Regression Model, COVID-19 Case Fatality Data
JOURNAL NAME:
Open Journal of Statistics,
Vol.12 No.1,
January
29,
2022
ABSTRACT: Objectives: Developing inference procedures on the quasi-binomial distribution and
the regression model. Methods: Score testing and the method of maximum
likelihood for regression parameters estimation. Data: Several examples
are included, based on published data. Results: A quasi-binomial model
is used to model binary response data which exhibit extra-binomial variation. A
partial score test on the binomial hypothesis versus the quasi-binomial
alternative is developed and illustrated on three data sets. The extended logit
transformation on the binomial parameter is introduced and the large sample
dispersion matrix of the estimated parameters is derived. The Nonlinear Mixed
Procedure (NLMIXED) in SAS is shown to be very appropriate for the estimation
of nonlinear regression.