Acknowledgement
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2021R1F1A1053119).
References
- Channouf N, Fredette M, and MacGibbon B (2014). Power and sample size calculations for poisson and zero inflated poisson regression models, Computational Statistics & Data Analysis, 72, 241-251. https://doi.org/10.1016/j.csda.2013.09.029
- Channouf N, Fredette M, and MacGibbon B (2021). Sample size calculations for hierarchical Poisson and zero-inflated Poisson regression models, Communications in Statistics - Simulation and Computation, 50, 937-956. https://doi.org/10.1080/03610918.2019.1577975
- Choo-Wosoba H, Gaskins J, Levy S, and Datta S (2018). A Bayesian approach for analyzing zeroinflated clustered count data with dispersion, Statistics in Medicine, 37, 801-812. https://doi.org/10.1002/sim.7541
- Ha ID, Lee Y, and Song JK (2001). Hierarchical likelihood approach for frailty models, Biometrika, 88, 233-243. https://doi.org/10.1093/biomet/88.1.233
- Hall DB (2000). Zero-inflated Poisson and binomial regression with random effects: A case study, Biometrics, 56, 1030-1039. https://doi.org/10.1111/j.0006-341X.2000.01030.x
- Jin S and Lee Y (2020). A review of h-likelihood and hierarchical generalized linear model, WIREs Computational Statistics, 13, e1527.
- Lee Y and Nelder JA (1996). Hierarchical generalized linear models, Journal of the Royal Statistical Society: Series B (Methodological), 58, 619-678. https://doi.org/10.1111/j.2517-6161.1996.tb02105.x
- Lee M, Ha ID, and Lee Y (2017). Frailty modeling for clustered competing risks data with missing cause of failure, Statistical Methods in Medical Research, 26, 356-373. https://doi.org/10.1177/0962280214545639
- Nakagawa T and Osaki S (1975). The discrete Weibull distribution, IEEE Transactions on Reliability, 24, 300-301. https://doi.org/10.1109/TR.1975.5214915
- Perumean-Chaney SE, Morgan C, McDowall D, and Aban I (2013). Zero-inflated and overdispersed: What's one to do?, Journal of Statistical Computation and Simulation, 83, 1671-1683. https://doi.org/10.1080/00949655.2012.668550
- Shieh G (2001). Sample size calculations for logistic and Poisson regression models, Biometrika, 88, 1193-1199. https://doi.org/10.1093/biomet/88.4.1193
- Tapak L, Hamidi O, Amini P, and Verbeke G (2019). Random effect exponentiated-exponential geometric model for clustered/longitudinal zero-inflated count data, Journal of Applied Statistics, 47, 2272-2288. https://doi.org/10.1080/02664763.2019.1706726
- Yau KWK, Wang K, and Lee AH (2003). Zero-inflated negative binomial mixed regression modeling of over-dispersed count data with extra zeros, Biometrical Journal, 45, 437-452. https://doi.org/10.1002/bimj.200390024
- Yoo H (2023). Sample size for clustered count data based on discrete Weibull regression model, Communications in Statistics - Simulation and Computation, 52, 5850-5856. https://doi.org/10.1080/03610918.2021.2001530