Semiparametric modeling of longitudinal measurements and time-to-event data--a two-stage regression calibration approach

Biometrics
Wen YeJeremy M G Taylor

Abstract

In this article we investigate regression calibration methods to jointly model longitudinal and survival data using a semiparametric longitudinal model and a proportional hazards model. In the longitudinal model, a biomarker is assumed to follow a semiparametric mixed model where covariate effects are modeled parametrically and subject-specific time profiles are modeled nonparametrially using a population smoothing spline and subject-specific random stochastic processes. The Cox model is assumed for survival data by including both the current measure and the rate of change of the underlying longitudinal trajectories as covariates, as motivated by a prostate cancer study application. We develop a two-stage semiparametric regression calibration (RC) method. Two variations of the RC method are considered, risk set regression calibration and a computationally simpler ordinary regression calibration. Simulation results show that the two-stage RC approach performs well in practice and effectively corrects the bias from the naive method. We apply the proposed methods to the analysis of a dataset for evaluating the effects of the longitudinal biomarker PSA on the recurrence of prostate cancer.

References

Jul 15, 1997·International Journal of Radiation Oncology, Biology, Physics·C I SartorH M Sandler
Mar 17, 2001·Biometrics·J Xu, S L Zeger
Feb 1, 2005·Journal of Clinical Oncology : Official Journal of the American Society of Clinical Oncology·Jeremy M G TaylorHoward M Sandler
Mar 2, 2005·Biometrics·Elizabeth R BrownVictor DeGruttola

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Citations

Apr 30, 2010·American Journal of Epidemiology·Mulugeta GebregziabherYumin Zhao
Jul 31, 2010·BMC Medical Research Methodology·Emmanuelle Deslandes, Sylvie Chevret
Jul 21, 2012·Statistics in Medicine·Michael R ElliottJessica Faul
Jun 9, 2015·Statistics in Biosciences·Jaeun ChoiAndrew F Olshan
Mar 29, 2014·Statistical Methods in Medical Research·Chiara BrombinPaola Mv Rancoita
Nov 16, 2017·Biometrical Journal. Biometrische Zeitschrift·Ipek GulerDenisa Mendonça
Aug 11, 2017·Biometrical Journal. Biometrische Zeitschrift·Meike KöhlerSonja Greven
Mar 12, 2019·Statistical Methods in Medical Research·Yongli Han, Danping Liu
Oct 15, 2014·Quality of Life Research : an International Journal of Quality of Life Aspects of Treatment, Care and Rehabilitation·Divine E EdiebahMartin J B Taphoorn
Nov 5, 2019·Statistical Methods in Medical Research·Havi MuradLaurence S Freedman
Sep 1, 2017·Lifetime Data Analysis·Jaeun ChoiJianwen Cai
Dec 12, 2018·International Journal of Epidemiology·Adina Zeki Al HazzouriKristine Yaffe
Jan 18, 2018·Statistical Theory and Related Fields·Qian M ZhouTianxi Cai
Aug 11, 2017·Statistics in Medicine·Getachew A Dagne
Apr 20, 2018·Statistics in Medicine·P Saha-Chaudhuri, P J Heagerty
Feb 12, 2021·BMC Medical Research Methodology·Julius S NgwaL Adrienne Cupples
Feb 2, 2010·Statistical Science : a Review Journal of the Institute of Mathematical Statistics·Brenda F KurlandPaula H Diehr
Apr 28, 2021·Journal of Biopharmaceutical Statistics·P MehdizadehM Ganjali

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