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Quasi-Binomial Regression Model for the Analysis of Data with Extra-Binomial Variation
Department of Epidemiology and Biostatistics, Schulich School of Medicine and Dentistry, University of Western Ontario, London Ontario, Canada
Department of Biostatistics, Epidemiology and Scientific Computing, King Faisal Specialist Hospital and Research Center, Riyadh, KSA
- 1 Department of Epidemiology and Biostatistics, Schulich School of Medicine and Dentistry, University of Western Ontario, London Ontario, Canada
- 2 Department of Biostatistics, Epidemiology and Scientific Computing, King Faisal Specialist Hospital and Research Center, Riyadh, KSA
Open Journal of Statistics·Volume 12 (2022)·Pages 1–14·Published 28 January 2022·DOI10.4236/ojs.2022.121001
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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.
KeywordsQuasi-Binomial DistributionExtra Binomial VariationsScore TestQuasi-Binomial Regression ModelCOVID-19 Case Fatality Data
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