scholarly journals Quantifying time-varying cause-specific hazard and subdistribution hazard ratios with competing risks data

2019 ◽  
Vol 16 (4) ◽  
pp. 363-374
Author(s):  
Guoqing Diao ◽  
Joseph G Ibrahim

Various non-proportional hazard models have been developed in the literature for competing risks data. The regression coefficients under these models, however, typically cannot be compared directly. We propose new methods to quantify the average of the time-varying cause-specific hazard ratios and subdistribution hazard ratios through two general classes of transformations and weight functions that are chosen to reflect the relative importance of the hazard ratios in different time periods. We further propose an [Formula: see text] -norm type of test statistic that incorporates the test statistics for all possible pairs of the transformation function and weight function under consideration. Extensive simulations are conducted under various settings of the hazards and demonstrate that the proposed test performs well under all settings. An application to a clinical trial in follicular lymphoma is examined in detail.

Biostatistics ◽  
2019 ◽  
Vol 21 (4) ◽  
pp. 860-875 ◽  
Author(s):  
Shiro Tanaka ◽  
M Alan Brookhart ◽  
Jason P Fine

Summary This article provides methods of causal inference for competing risks data. The methods are formulated as structural nested mean models of causal effects directly related to the cumulative incidence function or subdistribution hazard, which reflect the survival experience of a subject in the presence of competing risks. The effect measures include causal risk differences, causal risk ratios, causal subdistribution hazard ratios, and causal effects of time-varying exposures. Inference is implemented by g-estimation using pseudo-observations, a technique to handle censoring. The finite-sample performance of the proposed estimators in simulated datasets and application to time-varying exposures in a cohort study of type 2 diabetes are also presented.


2014 ◽  
Vol 33 (26) ◽  
pp. 4590-4604 ◽  
Author(s):  
Il Do Ha ◽  
Minjung Lee ◽  
Seungyoung Oh ◽  
Jong-Hyeon Jeong ◽  
Richard Sylvester ◽  
...  

2020 ◽  
Vol 49 (3) ◽  
pp. 25-29
Author(s):  
Yosra Yousif ◽  
Faiz Ahmed Mohamed Elfaki ◽  
Meftah Hrairi

In the studies that involve competing risks, somehow, masking issues might arise. That is, the cause of failure for some subjects is only known as a subset of possible causes. In this study, a Bayesian analysis is developed to assess the effect of risks factor on the Cumulative Incidence Function (CIF) by adopting the proportional subdistribution hazard model. Simulation is conducted to evaluate the performance of the proposed model and it shows that the model is feasible for the possible applications.


2020 ◽  
Vol 11 (2) ◽  
pp. 535-577 ◽  
Author(s):  
Ruixuan Liu

This paper proposes a new bivariate competing risks model in which both durations are the first passage times of dependent Lévy subordinators with exponential thresholds and multiplicative covariates effects. Our specification extends the mixed proportional hazards model, as it allows for the time‐varying heterogeneity represented by the unobservable Lévy processes and it generates the simultaneous termination of both durations with positive probability. We obtain nonparametric identification of all model primitives given competing risks data. A flexible semiparametric estimation procedure is provided and illustrated through the analysis of a real dataset.


2016 ◽  
Vol 25 (6) ◽  
pp. 2488-2505 ◽  
Author(s):  
Il Do Ha ◽  
Nicholas J Christian ◽  
Jong-Hyeon Jeong ◽  
Junwoo Park ◽  
Youngjo Lee

Competing risks data often exist within a center in multi-center randomized clinical trials where the treatment effects or baseline risks may vary among centers. In this paper, we propose a subdistribution hazard regression model with multivariate frailty to investigate heterogeneity in treatment effects among centers from multi-center clinical trials. For inference, we develop a hierarchical likelihood (or h-likelihood) method, which obviates the need for an intractable integration over the frailty terms. We show that the profile likelihood function derived from the h-likelihood is identical to the partial likelihood, and hence it can be extended to the weighted partial likelihood for the subdistribution hazard frailty models. The proposed method is illustrated with a dataset from a multi-center clinical trial on breast cancer as well as with a simulation study. We also demonstrate how to present heterogeneity in treatment effects among centers by using a confidence interval for the frailty for each individual center and how to perform a statistical test for such heterogeneity using a restricted h-likelihood.


2019 ◽  
Vol 29 (1) ◽  
pp. 57-77 ◽  
Author(s):  
Rodney Sparapani ◽  
Brent R Logan ◽  
Robert E McCulloch ◽  
Purushottam W Laud

Many time-to-event studies are complicated by the presence of competing risks. Such data are often analyzed using Cox models for the cause-specific hazard function or Fine and Gray models for the subdistribution hazard. In practice, regression relationships in competing risks data are often complex and may include nonlinear functions of covariates, interactions, high-dimensional parameter spaces and nonproportional cause-specific, or subdistribution, hazards. Model misspecification can lead to poor predictive performance. To address these issues, we propose a novel approach: flexible prediction modeling of competing risks data using Bayesian Additive Regression Trees (BART). We study the simulation performance in two-sample scenarios as well as a complex regression setting, and benchmark its performance against standard regression techniques as well as random survival forests. We illustrate the use of the proposed method on a recently published study of patients undergoing hematopoietic stem cell transplantation.


Blood ◽  
2013 ◽  
Vol 122 (21) ◽  
pp. 462-462
Author(s):  
Sabine Eichinger ◽  
Georg Heinze ◽  
Paul A Kyrle

Background Patients with unprovoked venous thromboembolism (VTE) have a high recurrence risk and are candidates for extended anticoagulation. However, many patients stay recurrence free and are unnecessarily exposed to anticoagulants. The Vienna Prediction Model has been developed to discriminate patients with unprovoked VTE with a low recurrence risk from those with a high risk based on the patient’s sex, the location of VTE, and D-Dimer, but allows risk assessment only at one single time point (3 weeks after anticoagulation). Aim To update and expand the model based on a larger number of events and a longer observation time, in order to assess the recurrence risk also from time points later than three weeks after anticoagulation on. Methods We analysed the data set of the Austrian Study on Recurrent Venous Thromboembolism, a prospective cohort study in patients of legal age with a first VTE who had received anticoagulants for 3 to 18 months. Patients with VTE provoked by surgery, trauma, pregnancy, or female hormone intake; with a natural inhibitor deficiency, the lupus anticoagulant, or cancer were excluded. The study end point was recurrent symptomatic deep vein thrombosis (DVT) and/or pulmonary embolism (PE). We integrated D-Dimer levels measured at several time points after anticoagulation with the patient’s sex and location of VTE. We generated nomograms to calculate individual risk scores and cumulative recurrence rates from 3 weeks, 3, 9, and 15 months on after discontinuation of anticoagulation using a dynamic landmark competing risks regression approach. The ethics committee approved the study and all patients gave written informed consent. Results 134 of 553 patients had recurrence during a mean follow-up of 6 years. D-Dimer levels varied between patients, but did not substantially - albeit statistical significantly (p<0.001) - increase over time. The updated model has two improvements: we accounted for the competing risk of death or informative drop out by competing risks regression, and we considered various time points of prediction rather than predicting just once after anticoagulation. Subdistribution hazard ratios (95% CI) dynamically changed from 3 weeks to 3, 9, and 15 months from 2.4 (1.6-3.8), 2.3 (1.5-3.5), 2.0 (1.3-3.0) to 1.7 (1.1-2.7) in men vs. women, from 1.8 (1.0-3.4), 1.7 (0.9-3.1), 1.5 (0.8-2.8) to 1.4 (0.8-2.7) in patients with proximal DVT or PE compared to distal DVT, and from 1.3 (1.1-1.6), 1.3 (1.1-1.5), 1.2 (1.0-1.4) to 1.1 (0.9-1.4) per doubling D-Dimer levels. We created nomograms based on subdistribution hazard ratios from the multivariable dynamic model to predict the recurrence risk from 3 weeks, 3, 9 or 15 months on after anticoagulation. A web-based calculator allows risk assessment from random time points on between 3 weeks and 15 months. Conclusions The updated Vienna Prediction Model integrates patient’s sex, location of first VTE and serial D-Dimer measurements and allows prediction of recurrent VTE at a random time point after discontinuation of oral anticoagulation. Disclosures: No relevant conflicts of interest to declare.


2017 ◽  
Vol 28 (1) ◽  
pp. 248-262 ◽  
Author(s):  
Coraline Danieli ◽  
Michal Abrahamowicz

An accurate assessment of drug safety or effectiveness in pharmaco-epidemiology requires defining an etiologically correct time-varying exposure model, which specifies how previous drug use affects the hazard of the event of interest. An additional challenge is to account for the multitude of mutually exclusive events that may be associated with the use of a given drug. To simultaneously address both challenges, we develop, and validate in simulations, a new approach that combines flexible modeling of the cumulative effects of time-varying exposures with competing risks methodology to separate the effects of the same drug exposure on different outcomes. To account for the dosage, duration and timing of past exposures, we rely on a spline-based weighted cumulative exposure modeling. We also propose likelihood ratio tests to test if the cumulative effects of past exposure on the hazards of the competing events are the same or different. Simulation results indicate that the estimated event-specific weight functions are reasonably accurate, and that the proposed tests have acceptable type I error rate and power. In real-life application, the proposed method indicated that recent use of antihypertensive drugs may reduce the risk of stroke but has no effect on the hazard of coronary heart disease events.


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