A graphical tool for assessing the suitability of a count regression model

Wilson, Paul; Einbeck, Jochen

Abstract

Whilst many numeric methods, such as AIC and deviance, exist for assessing or comparing model fit, diagrammatic methods are few. We present here a diagnostic plot, which we refer to as a `Quantile Band plot', that may be used to visually assess the suitability of a given count data model. In the case of diagnosed model inadequacy, the plot has the unique feature of conveying precise information on the character of the violation, hence pointing the data analyst towards a potentially better model choice.

Citation

Wilson, P., & Einbeck, J. (2021). A graphical tool for assessing the suitability of a count regression model. Austrian Journal of Statistics, 50(1), 1-23. https://doi.org/10.17713/ajs.v50i1.921

• Journal Article Type: Article
• Acceptance Date: Apr 1, 2019
• Online Publication Date: Nov 24, 2020
• Publication Date: Jan 1, 2021
• Deposit Date: Aug 6, 2019
• Publicly Available Date: Jan 20, 2021
• Journal: Austrian Journal of Statistics
• Print ISSN: 1026-597X
• Publisher: Austrian Society for Statistics
• Peer Reviewed: Peer Reviewed
• Volume: 50
• Issue: 1
• Pages: 1-23
• DOI: https://doi.org/10.17713/ajs.v50i1.921
• Public URL: https://durham-repository.worktribe.com/output/1291082
• Publisher URL: https://ajs.or.at/index.php/ajs/article/view/921
• Related Public URLs: https://wlv.openrepository.com/handle/2436/622632