Joint analysis of panel count data with an informative observation process and a dependent terminal event

Jie Zhou, Haixiang Zhang (), Liuquan Sun and Jianguo Sun
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Jie Zhou: Capital Normal University
Haixiang Zhang: Tianjin University
Liuquan Sun: Chinese Academy of Sciences
Jianguo Sun: University of Missouri

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2017, vol. 23, issue 4, No 3, 560-584

Abstract: Abstract Panel count data occur in many clinical and observational studies, and in many situations, the observation process may be informative and also there may exist a terminal event such as death which stops the follow-up. In this article, we propose a new joint model for the analysis of panel count data in the presence of both an informative observation process and a dependent terminal event via two latent variables. For the inference on the proposed models, a class of estimating equations is developed and the resulting estimators are shown to be consistent and asymptotically normal. In addition, a lack-of-fit test is provided for assessing the adequacy of the models. Simulation studies suggest that the proposed approach works well for practical situations. A real example from a bladder cancer clinical trial is used to illustrate the proposed methods.

Keywords: Estimating equation; Informative observation process; Joint modeling; Panel count data; Terminal event (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10985-016-9375-y

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