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논문 기본 정보

자료유형
학술저널
저자정보
Morshed Alam (University of Nebraska Medical Center) Yeongjin Gwon (University of Nebraska Medical Center) Jane Meza (University of Nebraska Medical Center)
저널정보
한국통계학회 CSAM(Communications for Statistical Applications and Methods) CSAM(Communications for Statistical Applications and Methods) 제30권 제3호
발행연도
2023.5
수록면
291 - 309 (19page)

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초록· 키워드

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Longitudinal count data has been widely collected in biomedical research, public health, and clinical trials. These repeated measurements over time on the same subjects need to account for an appropriate dependency. The Poisson regression model is the first choice to model the expected count of interest, however, this may not be an appropriate when data exhibit over-dispersion or under-dispersion. Recently, Conway-Maxwell-Poisson (CMP) distribution is popularly used as the distribution offers a flexibility to capture a wide range of dispersion in the data. In this article, we propose a Bayesian CMP regression model to accommodate over and under-dispersion in modeling longitudinal count data. Specifically, we develop a regression model with random intercept and slope to capture subject heterogeneity and estimate covariate effects to be different across subjects. We implement a Bayesian computation via Hamiltonian MCMC (HMCMC) algorithm for posterior sampling. We then compute Bayesian model assessment measures for model comparison. Simulation studies are conducted to assess the accuracy and effectiveness of our methodology. The usefulness of the proposed methodology is demonstrated by a well-known example of epilepsy data.

목차

Abstract
1. Introduction
2. Statistical method
3. Bayesian inference
4. Simulation study
5. Analysis of epilepsy data
6. Concluding remark
References

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