Joint Modeling of Repeated Measures and Competing Failure Events in a Study of Chronic Kidney Disease

  • Wei Yang
  • Dawei Xie
  • Qiang Pan
  • Harold I. Feldman
  • Wensheng Guo
S.I. : Organ Failure and Transplantation

DOI: 10.1007/s12561-016-9186-4

Cite this article as:
Yang, W., Xie, D., Pan, Q. et al. Stat Biosci (2016). doi:10.1007/s12561-016-9186-4
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Abstract

We are motivated by the chronic renal insufficiency cohort (CRIC) study to identify risk factors for renal progression in patients with chronic kidney diseases. The CRIC study collects two types of renal outcomes: glomerular filtration rate (GFR) estimated annually and end-stage renal disease (ESRD). A related outcome of interest is death which is a competing event for ESRD. A joint modeling approach is proposed to model a longitudinal outcome and two competing survival outcomes. We assume multivariate normality on the joint distribution of the longitudinal and survival outcomes. Specifically, a mixed effects model is fit on the longitudinal outcome and a linear model is fit on each survival outcome. The three models are linked together by having the random terms of the mixed effects model as covariates in the survival models. EM algorithm is used to estimate the model parameters, and the nonparametric bootstrap is used for variance estimation. A simulation study is designed to compare the proposed method with an approach that models the outcomes sequentially in two steps. We fit the proposed model to the CRIC data and show that the protein-to-creatinine ratio is strongly predictive of both estimated GFR and ESRD but not death.

Keywords

Joint modeling Multivariate normality Informative dropout Competing risk Chronic kidney disease 

Copyright information

© International Chinese Statistical Association 2016

Authors and Affiliations

  • Wei Yang
    • 1
  • Dawei Xie
    • 1
  • Qiang Pan
    • 1
  • Harold I. Feldman
    • 1
  • Wensheng Guo
    • 1
  1. 1.Department of Biostatistics and EpidemiologyUniversity of Pennsylvania School of MedicinePhiladelphiaUSA

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