Functional clustering methods for binary longitudinal data with temporal heterogeneity
In the analysis of binary longitudinal data, it is of interest to model a dynamic relationship between a response and covariates as a function of time, while also investigating similar patterns of time-dependent interactions. We present a novel generalized varying-coefficient model that accounts for...
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Published in | Computational statistics & data analysis Vol. 185; p. 107766 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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Elsevier B.V
01.09.2023
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Abstract | In the analysis of binary longitudinal data, it is of interest to model a dynamic relationship between a response and covariates as a function of time, while also investigating similar patterns of time-dependent interactions. We present a novel generalized varying-coefficient model that accounts for within-subject variability and simultaneously clusters varying-coefficient functions, without restricting the number of clusters nor overfitting the data. In the analysis of a heterogeneous series of binary data, the model extracts population-level fixed effects, cluster-level varying effects, and subject-level random effects. Various simulation studies show the validity and utility of the proposed method to correctly specify cluster-specific varying-coefficients when the number of clusters is unknown. The proposed method is applied to a heterogeneous series of binary data in the German Socioeconomic Panel (GSOEP) study, where we identify three major clusters demonstrating the different varying effects of socioeconomic predictors as a function of age on the working status. |
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AbstractList | In the analysis of binary longitudinal data, it is of interest to model a dynamic relationship between a response and covariates as a function of time, while also investigating similar patterns of time-dependent interactions. We present a novel generalized varying-coefficient model that accounts for within-subject variability and simultaneously clusters varying-coefficient functions, without restricting the number of clusters nor overfitting the data. In the analysis of a heterogeneous series of binary data, the model extracts population-level fixed effects, cluster-level varying effects, and subject-level random effects. Various simulation studies show the validity and utility of the proposed method to correctly specify cluster-specific varying-coefficients when the number of clusters is unknown. The proposed method is applied to a heterogeneous series of binary data in the German Socioeconomic Panel (GSOEP) study, where we identify three major clusters demonstrating the different varying effects of socioeconomic predictors as a function of age on the working status. |
ArticleNumber | 107766 |
Author | Sohn, Jinwon Jeong, Seonghyun Park, Taeyoung Cho, Young Min |
Author_xml | – sequence: 1 givenname: Jinwon surname: Sohn fullname: Sohn, Jinwon email: sohn24@purdue.edu organization: Department of Statistics, Purdue University, IN 47907, USA – sequence: 2 givenname: Seonghyun surname: Jeong fullname: Jeong, Seonghyun email: sjeong@yonsei.ac.kr organization: Department of Applied Statistics, Yonsei University, Seoul 03722, Korea – sequence: 3 givenname: Young Min orcidid: 0000-0002-3793-7257 surname: Cho fullname: Cho, Young Min email: jch0@seas.upenn.edu organization: Department of Computer and Information Science, University of Pennsylvania, PA 19104, USA – sequence: 4 givenname: Taeyoung orcidid: 0000-0001-7405-0746 surname: Park fullname: Park, Taeyoung email: tpark@yonsei.ac.kr organization: Department of Applied Statistics, Yonsei University, Seoul 03722, Korea |
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Keywords | Dirichlet process Longitudinal data Partial collapsed Gibbs sampler Varying-coefficients Probit mixed models |
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