Competing Risks Model with Short-Term and Long-Term Covariate Effects for Cancer Studies
Guoqing Diao (),
Anand N. Vidyashankar,
Sarah Zohar and
Sandrine Katsahian
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Guoqing Diao: George Mason University
Anand N. Vidyashankar: George Mason University
Sarah Zohar: Sorbonne Université, Université de Paris
Sandrine Katsahian: Sorbonne Université, Université de Paris
Statistics in Biosciences, 2021, vol. 13, issue 1, No 8, 142-159
Abstract:
Abstract Patients are frequently exposed to failure from several mutually exclusive causes, leading to a competing risk setting. Standard methods concerning the effects of covariates on the cause-specific hazards assume constant hazard ratios across time. This assumption, however, is violated in several applications. To address this issue and test the effect of covariates on multiple risks, we develop a new regression model allowing for nonconstant hazard ratios over time. The proposed model allows explicit specification of the short-term and long-term covariate effects, which can be of clinical interest. We develop a statistically efficient nonparametric likelihood methodology for estimation and inference concerning the parameters of interest and compare it to the existing methods. We investigate the performances of the proposed methods using simulations and apply them to a European study on a registry cohort of patients with acute leukemia undergoing bone marrow transplantation. Our proposed model detects the differences in short-term and long-term risks of primary relapse between patients with and without acute lymphoblastic leukemia.
Keywords: Competing risks setting; Internal time-dependent covariates; Multi-state model; Nonconstant hazard ratio model; Nonparametric maximum likelihood estimation (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s12561-020-09288-x
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