Poisson and negative binomial regression models for zero-inflated data: an experimental study

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dc.contributor.authorYıldırım, Gizem
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-27T11:29:58Z
dc.date.available2022-12-27T11:29:58Z
dc.date.issued2022
dc.description.abstractCount data regression has been widely used in various disciplines, particularly health area. Classical models like Poisson and negative binomial regression may not provide reasonable performance in the presence of excessive zeros and overdispersion problems. Zero-inflated and Hurdle variants of these models can be a remedy for dealing with these problems. As well as zero-inflated and Hurdle models, alternatives based on some biased estimators like ridge and Liu may improve the performance against to multicollinearity problem except excessive zeros and overdispersion. In this study, ten different regression models including classical Poisson and negative binomial regression with their variants based on zero-inflated, Hurdle, ridge and Liu approaches have been compared by using a health data. Some criteria including Akaike information criterion, log-likelihood value, mean squared error and mean absolute error have been used to investigate the performance of models. The results show that the zero-inflated negative binomial regression model provides the best fit for the data. The final model estimations have been obtained via this model and interpreted in detail. Finally, the experimental results suggested that models except the classical models should be considered as powerful alternatives for modelling count and give better insights to the researchers in applying statistics on working similar data structures.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage615tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage601tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.988880tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86502
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.988880tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectPoisson regression, negative binomial regression, zero inflated regression, Hurdle regression, ridge regression, Liu regressiontr_TR
dc.titlePoisson and negative binomial regression models for zero-inflated data: an experimental studytr_TR
dc.typeArticletr_TR

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