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Modeling semi‐competing risks data as a longitudinal bivariate process

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  • Daniel Nevo
  • Deborah Blacker
  • Eric B. Larson
  • Sebastien Haneuse

Abstract

As individuals age, death is a competing risk for Alzheimer's disease (AD) but the reverse is not the case. As such, studies of AD can be placed within the semi‐competing risks framework. Central to semi‐competing risks, and in contrast to standard competing risks , is that one can learn about the dependence structure between the two events. To‐date, however, most methods for semi‐competing risks treat dependence as a nuisance and not a potential source of new clinical knowledge. We propose a novel regression‐based framework that views the two time‐to‐event outcomes through the lens of a longitudinal bivariate process on a partition of the time scales of the two events. A key innovation of the framework is that dependence is represented in two distinct forms, local and global dependence, both of which have intuitive clinical interpretations. Estimation and inference are performed via penalized maximum likelihood, and can accommodate right censoring, left truncation, and time‐varying covariates. An important consequence of the partitioning of the time scale is that an ambiguity regarding the specific form of the likelihood contribution may arise; a strategy for sensitivity analyses regarding this issue is described. The framework is then used to investigate the role of gender and having ≥1 apolipoprotein E (APOE) ε4 allele on the joint risk of AD and death using data from the Adult Changes in Thought study.

Suggested Citation

  • Daniel Nevo & Deborah Blacker & Eric B. Larson & Sebastien Haneuse, 2022. "Modeling semi‐competing risks data as a longitudinal bivariate process," Biometrics, The International Biometric Society, vol. 78(3), pages 922-936, September.
    • Handle: RePEc:bla:biomet:v:78:y:2022:i:3:p:922-936
    DOI: 10.1111/biom.13480
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    References listed on IDEAS

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    1. Kyu Ha Lee & Francesca Dominici & Deborah Schrag & Sebastien Haneuse, 2016. "Hierarchical Models for Semicompeting Risks Data With Application to Quality of End-of-Life Care for Pancreatic Cancer," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(515), pages 1075-1095, July.
    2. Yingxing Li & David Ruppert, 2008. "On the asymptotics of penalized splines," Biometrika, Biometrika Trust, vol. 95(2), pages 415-436.
    3. Jing Yang & Limin Peng, 2016. "A new flexible dependence measure for semi-competing risks," Biometrics, The International Biometric Society, vol. 72(3), pages 770-779, September.
    4. Ruosha Li & Limin Peng, 2015. "Quantile regression adjusting for dependent censoring from semicompeting risks," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 77(1), pages 107-130, January.
    5. Jinfeng Xu & John D. Kalbfleisch & Beechoo Tai, 2010. "Statistical Analysis of Illness–Death Processes and Semicompeting Risks Data," Biometrics, The International Biometric Society, vol. 66(3), pages 716-725, September.
    6. Kyu Ha Lee & Virginie Rondeau & Sebastien Haneuse, 2017. "Accelerated failure time models for semi‐competing risks data in the presence of complex censoring," Biometrics, The International Biometric Society, vol. 73(4), pages 1401-1412, December.
    7. Kyu Ha Lee & Sebastien Haneuse & Deborah Schrag & Francesca Dominici, 2015. "Bayesian semiparametric analysis of semicompeting risks data: investigating hospital readmission after a pancreatic cancer diagnosis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 64(2), pages 253-273, February.
    8. Thomas R. Ten Have & Alfredo Morabia, 1999. "Mixed Effects Models with Bivariate and Univariate Association Parameters for Longitudinal Bivariate Binary Response Data," Biometrics, The International Biometric Society, vol. 55(1), pages 85-93, March.
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