A varying-coefficient generalized odds rate model with time-varying exposure: An application to fitness and cardiovascular disease mortality.

TitleA varying-coefficient generalized odds rate model with time-varying exposure: An application to fitness and cardiovascular disease mortality.
Publication TypeJournal Article
Year of Publication2019
AuthorsZhou, Jie, Jiajia Zhang, Alexander C. Mclain, Wenbin Lu, Xuemei Sui, and James W. Hardin
JournalBiometrics
Volume75
Issue3
Pagination853-863
Date Published2019 09
ISSN1541-0420
KeywordsAge Factors, Algorithms, Cardiovascular Diseases, Humans, Longitudinal Studies, Models, Statistical, Physical Fitness
Abstract

Varying-coefficient models have become a common tool to determine whether and how the association between an exposure and an outcome changes over a continuous measure. These models are complicated when the exposure itself is time-varying and subjected to measurement error. For example, it is well known that longitudinal physical fitness has an impact on cardiovascular disease (CVD) mortality. It is not known, however, how the effect of longitudinal physical fitness on CVD mortality varies with age. In this paper, we propose a varying-coefficient generalized odds rate model that allows flexible estimation of age-modified effects of longitudinal physical fitness on CVD mortality. In our model, the longitudinal physical fitness is measured with error and modeled using a mixed-effects model, and its associated age-varying coefficient function is represented by cubic B-splines. An expectation-maximization algorithm is developed to estimate the parameters in the joint models of longitudinal physical fitness and CVD mortality. A modified pseudoadaptive Gaussian-Hermite quadrature method is adopted to compute the integrals with respect to random effects involved in the E-step. The performance of the proposed method is evaluated through extensive simulation studies and is further illustrated with an application to cohort data from the Aerobic Center Longitudinal Study.

DOI10.1111/biom.13057
Alternate JournalBiometrics
Original PublicationA varying-coefficient generalized odds rate model with time-varying exposure: An application to fitness and cardiovascular disease mortality.
PubMed ID31132151
PubMed Central IDPMC6736699
Grant ListP01 CA142538 / CA / NCI NIH HHS / United States
Project: