TY - JOUR

T1 - Sample size calculations for hierarchical Poisson and zero-inflated Poisson regression models

AU - Channouf, Nabil

AU - Fredette, Marc

AU - MacGibbon, Brenda

PY - 2019

Y1 - 2019

N2 - In biomedical research there is a growing interest in the use of hierarchical Poisson regression models. Although sample size calculations for testing parameters in a Poisson regression model with prespecified power and size have been previously done, very little attention has been paid to this problem for the hierarchical model. We propose to use Monte Carlo simulations to calculate the sample size necessary to perform the Wald tests when the number of clusters is fixed in advance, but the cluster size is variable. The effect of the number of clusters and the covariance structure of the fixed effects is also studied. The method and the simulation study are also extended to the case of the hierarchical zero-inflated Poisson regression model in order to obtain analogous results there. The method is also illustrated on an interesting real dataset.

AB - In biomedical research there is a growing interest in the use of hierarchical Poisson regression models. Although sample size calculations for testing parameters in a Poisson regression model with prespecified power and size have been previously done, very little attention has been paid to this problem for the hierarchical model. We propose to use Monte Carlo simulations to calculate the sample size necessary to perform the Wald tests when the number of clusters is fixed in advance, but the cluster size is variable. The effect of the number of clusters and the covariance structure of the fixed effects is also studied. The method and the simulation study are also extended to the case of the hierarchical zero-inflated Poisson regression model in order to obtain analogous results there. The method is also illustrated on an interesting real dataset.

KW - Hierarchical generalized linear models

KW - Information matrix

KW - Intraclass correlation

KW - Monte Carlo simulations

KW - Score function

KW - Wald test

UR - http://www.scopus.com/inward/record.url?scp=85062768881&partnerID=8YFLogxK

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U2 - 10.1080/03610918.2019.1577975

DO - 10.1080/03610918.2019.1577975

M3 - Review article

AN - SCOPUS:85062768881

JO - Communications in Statistics: Simulation and Computation

JF - Communications in Statistics: Simulation and Computation

SN - 0361-0918

ER -