Marginal quantile regression for longitudinal data analysis in the presence of time-dependent covariates

Chen I-Chen () and Westgate Philip M.
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Chen I-Chen: Division of Field Studies and Engineering , National Institute for Occupational Safety and Health, Centers for Disease Control and Prevention, Cincinnati, OH 45226, USA
Westgate Philip M.: Department of Biostatistics, College of Public Health, University of Kentucky, Lexington, KY 40536, USA

The International Journal of Biostatistics, 2021, vol. 17, issue 2, 267-282

Abstract: When observations are correlated, modeling the within-subject correlation structure using quantile regression for longitudinal data can be difficult unless a working independence structure is utilized. Although this approach ensures consistent estimators of the regression coefficients, it may result in less efficient regression parameter estimation when data are highly correlated. Therefore, several marginal quantile regression methods have been proposed to improve parameter estimation. In a longitudinal study some of the covariates may change their values over time, and the topic of time-dependent covariate has not been explored in the marginal quantile literature. As a result, we propose an approach for marginal quantile regression in the presence of time-dependent covariates, which includes a strategy to select a working type of time-dependency. In this manuscript, we demonstrate that our proposed method has the potential to improve power relative to the independence estimating equations approach due to the reduction of mean squared error.

Keywords: empirical covariance matrix; mean squared error; modified estimating equations; quantile regression models; time-dependent covariate (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1515/ijb-2020-0010

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