Location-scale mixed models and goodness-of-fit assessment applied to insect ecology

Autor(es)

Moral, R. A. ; Hinde, J. ; Ortega, E. M. M. ; Demetrio, C. G. B. ; Godoy, W. A. C.

• Tipo de documento: Artigo Científico
• Fonte: Journal of Applied Statistics; v. 47, n. 10, p. 18-pg., 2019-11-20.

Resumo

Survival models have been extensively used to analyse time-until-event data. There is a range of extended models that incorporate different aspects, such as overdispersion/frailty, mixtures, and flexible response functions through semi-parametric models. In this work, we show how a useful tool to assess goodness-of-fit, the half-normal plot of residuals with a simulated envelope, implemented in the hnp package in R, can be used on a location-scale modelling context. We fitted a range of survival models to time-until-event data, where the event was an insect predator attacking a larva in a biological control experiment. We started with the Weibull model and then fitted the exponentiated-Weibull location-scale model with regressors both for the location and scale parameters. We performed variable selection for each model and, by producing half-normal plots with simulated envelopes for the deviance residuals of the model fits, we found that the exponentiated-Weibull fitted the data better. We then included a random effect in the exponentiated-Weibull model to accommodate correlated observations. Finally, we discuss possible implications of the results found in the case study. (AU)

• Processo FAPESP: 14/12903-8 - Modelos e métodos estatísticos para análise de dados entomológicos
• Beneficiário: Rafael de Andrade Moral
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado