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Marginalized models for longitudinal count data

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  • Lee, Keunbaik
  • Joo, Yongsung

Abstract

In this paper, we propose two marginalized models for longitudinal count data. The first marginalized model has a Markovian structure to account for the serial correlation of longitudinal outcomes. We also propose another marginalized model with a Markovian structure for serial correlation as well as random effects for both overdispersion and long-term dependence. In these models, along with it being possible to permit likelihood-based estimation, inference is valid under ignorability which distinguishes them from generalized estimating equation (GEE) approaches. Fisher-scoring and Quasi-Newton algorithms are developed for estimation purposes. Monte Carlo studies show that the proposed models perform well in the sense of reducing the bias of marginal mean parameters compared to the misspecification of the dependence model in these models. The models are used to draw inferences from a previously analyzed trial on epileptic seizures.

Suggested Citation

  • Lee, Keunbaik & Joo, Yongsung, 2019. "Marginalized models for longitudinal count data," Computational Statistics & Data Analysis, Elsevier, vol. 136(C), pages 47-58.
    • Handle: RePEc:eee:csdana:v:136:y:2019:i:c:p:47-58
    DOI: 10.1016/j.csda.2019.01.001
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    References listed on IDEAS

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    1. Jonathan S. Schildcrout & Patrick J. Heagerty, 2007. "Marginalized Models for Moderate to Long Series of Longitudinal Binary Response Data," Biometrics, The International Biometric Society, vol. 63(2), pages 322-331, June.
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    3. Keunbaik Lee & Michael J. Daniels, 2007. "A Class of Markov Models for Longitudinal Ordinal Data," Biometrics, The International Biometric Society, vol. 63(4), pages 1060-1067, December.
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    5. Lee, Keunbaik & Mercante, Donald, 2010. "Longitudinal nominal data analysis using marginalized models," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 208-218, January.
    6. Lee, Keunbaik & Sohn, Insuk & Kim, Donguk, 2016. "Analysis of long series of longitudinal ordinal data using marginalized models," Computational Statistics & Data Analysis, Elsevier, vol. 94(C), pages 363-371.
    7. Patrick J. Heagerty, 2002. "Marginalized Transition Models and Likelihood Inference for Longitudinal Categorical Data," Biometrics, The International Biometric Society, vol. 58(2), pages 342-351, June.
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    9. Lee, Keunbaik & Joo, Yongsung & Song, Joon Jin & Harper, Dee Wood, 2011. "Analysis of zero-inflated clustered count data: A marginalized model approach," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 824-837, January.
    10. Vandna Jowaheer, 2002. "Analysing longitudinal count data with overdispersion," Biometrika, Biometrika Trust, vol. 89(2), pages 389-399, June.
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