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This paper focuses on quantifying and estimating the predictive accuracy of prognostic models for time-to-event outcomes with competing events. We consider the time-dependent discrimination and calibration metrics, including the receiver…

Methodology · Statistics 2017-07-14 Cai Wu , Liang Li

The analysis of randomized controlled trials is often complicated by intercurrent events (IEs) -- events that occur after treatment initiation and affect either the interpretation or existence of outcome measurements. Examples include…

Methodology · Statistics 2026-04-07 Sizhu Lu , Yanyao Yi , Yongming Qu , Huayu Karen Liu , Ting Ye , Peng Ding

Restricted mean survival time (RMST) is an intuitive summary statistic for time-to-event random variables, and can be used for measuring treatment effects. Compared to hazard ratio, its estimation procedure is robust against the…

Methodology · Statistics 2023-05-25 Ruizhe Chen , Sanjib Basu , Qian Shi

Background: For RCTs with time-to-event endpoints, proportional hazard (PH) models are typically used to estimate treatment effects and logrank tests are commonly used for hypothesis testing. There is growing support for replacing this…

Methodology · Statistics 2024-12-10 Dominic Magirr , Craig Wang , Xinlei Deng , Tim Morris , Mark Baillie

We develop a Bayesian nonparametric (BNP) approach to evaluate the causal effect of treatment in a randomized trial where a nonterminal event may be censored by a terminal event, but not vice versa (i.e., semi-competing risks). Based on the…

Methodology · Statistics 2019-07-23 Yanxun Xu , Daniel Scharfstein , Peter Müller , Michael Daniels

We present a new estimator of the restricted mean survival time in randomized trials where there is right censoring that may depend on treatment and baseline variables. The proposed estimator leverages prognostic baseline variables to…

Statistics Theory · Mathematics 2016-08-22 Iván Díaz , Elizabeth Colantuoni , Daniel F. Hanley , Michael Rosenblum

In clinical trials, multiple outcomes of different priorities commonly occur as the patient's response may not be adequately characterized by a single outcome. Win statistics are appealing summary measures for between-group difference at…

Methodology · Statistics 2025-06-04 Ying Cui , Bo Huang , Gaohong Dong , Ryuji Uozumi , Lu Tian

Win statistics, including the win ratio, net benefit, and win odds, summarize treatment effects on hierarchical composite endpoints by sequentially comparing patient pairs on component outcomes ordered by clinical importance, proceeding to…

Methodology · Statistics 2026-05-27 Xi Fang , Fan Li

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

Applications · Statistics 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

In conventional randomized controlled trials, adjustment for baseline values of covariates known to be at least moderately associated with the outcome increases the power of the trial. Recent work has shown particular benefit for more…

Methodology · Statistics 2023-11-27 James Willard , Shirin Golchi , Erica EM Moodie

Estimating individualized treatment rules is a central task for personalized medicine. [zhao2012estimating] and [zhang2012robust] proposed outcome weighted learning to estimate individualized treatment rules directly through maximizing the…

Methodology · Statistics 2017-10-02 Yifan Cui , Ruoqing Zhu , Michael Kosorok

Time-to-event endpoints show an increasing popularity in phase II cancer trials. The standard statistical tool for such one-armed survival trials is the one-sample log-rank test. Its distributional properties are commonly derived in the…

Methodology · Statistics 2026-03-02 Moritz Fabian Danzer , Andreas Faldum , Rene Schmidt

Randomized experiments are the gold standard for evaluating the effects of changes to real-world systems. Data in these tests may be difficult to collect and outcomes may have high variance, resulting in potentially large measurement error.…

Machine Learning · Statistics 2018-06-27 Benjamin Letham , Brian Karrer , Guilherme Ottoni , Eytan Bakshy

We conducted a systematic comparison of statistical methods used for the analysis of time-to-event outcomes under various proportional and nonproportional hazard (NPH) scenarios. Our study used data from recently published oncology trials…

Applications · Statistics 2025-02-12 Xinyu Zhang , Erich J. Greene , Ondrej Blaha , Wei Wei

Decision-makers often deploy the best-performing treatment from a randomized experiment, creating a winner's curse: selection favors treatments whose observed outcomes are high partly because of statistical noise, so the na\"ive estimate of…

Econometrics · Economics 2026-05-20 Ron Berman , Walter W. Zhang , Hangcheng Zhao

Observational studies of recurrent event rates are common in biomedical statistics. Broadly, the goal is to estimate differences in event rates under two treatments within a defined target population over a specified followup window.…

Methodology · Statistics 2024-11-13 Arman Oganisian , Anthony Girard , Jon A. Steingrimsson , Patience Moyo

Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

Methodology · Statistics 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

Historical data about disease outcomes can be integrated into the analysis of clinical trials in many ways. We build on existing literature that uses prognostic scores from a predictive model to increase the efficiency of treatment effect…

Methodology · Statistics 2020-12-25 David Walsh , Alejandro Schuler , Diana Hall , Jon Walsh , Charles Fisher

Complex data features, such as unmodelled censored event times and variables with time-dependent effects, are common in cancer recurrence studies and pose challenges for Bayesian survival modelling. Current methodologies for predictive…

Methodology · Statistics 2026-01-12 Saku Suorsa , Aki Vehtari

We address causal estimation in semi-competing risks settings, where a non-terminal event may be precluded by one or more terminal events. We define a principal-stratification causal estimand for treatment effects on the non-terminal event,…

Methodology · Statistics 2025-06-27 Karina Gelis-Cadena , Michael Daniels , Juned Siddique
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