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The proportional hazards assumption in the commonly used Cox model for censored failure time data is often violated in scientific studies. Yang and Prentice (2005) proposed a novel semiparametric two-sample model that includes the…

Methodology · Statistics 2012-06-06 Guoqing Diao , Donglin Zeng , Song Yang

Covariate adjustment is desired by both practitioners and regulators of randomized clinical trials because it improves precision for estimating treatment effects. However, covariate adjustment presents a particular challenge in…

Methodology · Statistics 2023-07-20 Yunfan Li , Jessica L. Ross , Aaron M. Smith , David P. Miller

The Kaplan-Meier estimator (KM) is widely used in medical research to estimate the survival function from lifetime data. KM is a powerful tool to evaluate clinical trials due to simple computational requirements, a logrank hypothesis test,…

Methodology · Statistics 2023-06-08 Utkarsh Chauhan , Kaiqiong Zhao , John Walker , John R. Mackey

Non-proportional hazards data are routinely encountered in randomized clinical trials. In such cases, classic Cox proportional hazards model can suffer from severe power loss, with difficulty in interpretation of the estimated hazard ratio…

Methodology · Statistics 2023-12-29 Hong Zhang , Qing Li , Devan V. Mehrotra , Judong Shen

It is nowadays widely acknowledged that optimal structural design should be robust with respect to the uncertainties in loads and material parameters. However, there are several alternatives to consider such uncertainties in structural…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Gustavo Assis da Silva , Eduardo Lenz Cardoso , Andre T. Beck

Comparing survival experiences of different groups of data is an important issue in several applied problems. A typical example is where one wishes to investigate treatment effects. Here we propose a new Bayesian approach based on…

Methodology · Statistics 2024-07-17 Alan Riva-Palacio , Fabrizio Leisen , Antonio Lijoi

The Hazard Ratio (HR) is often reported as the main causal effect when studying survival data. Despite its popularity, the HR suffers from an unclear causal interpretation. As already pointed out in the literature, there is a built-in…

Methodology · Statistics 2022-03-08 Rachel Axelrod , Daniel Nevo

Background: Under competing risks, the commonly used sub-distribution hazard ratio (SHR) is not easy to interpret clinically and is valid only under the proportional sub-distribution hazard (SDH) assumption. This paper introduces an…

Methodology · Statistics 2020-10-06 Jingjing Lyu , Yawen Hou , Zheng Chen

Time-to-event analysis often relies on prior parametric assumptions, or, if a non-parametric approach is chosen, Cox's model. This is inherently tied to the assumption of proportional hazards, with the analysis potentially invalidated if…

Methodology · Statistics 2023-03-15 Lucia Ameis , Oliver Kuß , Annika Hoyer , Kathrin Möllenhoff

Assuming some regression model, it is common to study the conditional distribution of survival given covariates. Here, we consider the impact of further conditioning, specifically conditioning on a marginal survival function, known or…

Applications · Statistics 2016-10-11 Roxane Duroux , Cécile Chauvel , John O'Quigley

Complementary features of randomized controlled trials (RCTs) and observational studies (OSs) can be used jointly to estimate the average treatment effect of a target population. We propose a calibration weighting estimator that enforces…

Methodology · Statistics 2022-02-16 Dasom Lee , Shu Yang , Lin Dong , Xiaofei Wang , Donglin Zeng , Jianwen Cai

The Cox proportional hazards model is often used to analyze data from Randomized Controlled Trials (RCT) with time-to-event outcomes. Random survival forest (RSF) is a machine-learning algorithm known for its high predictive performance. We…

Machine Learning · Statistics 2025-05-28 Ricarda Graf , Susan Todd , M. Fazil Baksh

While randomized controlled trials (RCTs) are the gold standard for estimating treatment effects in medical research, there is increasing use of and interest in using real-world data for drug development. One such use case is the…

Methodology · Statistics 2021-10-11 Devin Incerti , Michael T Bretscher , Ray Lin , Chris Harbron

Binary endpoints are common in clinical trials and conditional odds ratios have traditionally been used to assess treatment effects. However, the interpretation of odds ratios is difficult, they are non-collapsible and rely on strong…

Methodology · Statistics 2026-05-20 Martin Schnuerch , Alex Ocampo , Klaus Kähler Holst , Christian Stock

Prior-weighted logistic regression has become a standard tool for calibration in speaker recognition. Logistic regression is the optimization of the expected value of the logarithmic scoring rule. We generalize this via a parametric family…

Machine Learning · Statistics 2013-07-31 Niko Brümmer , George Doddington

Analyzing outcomes in long-term cancer survivor studies can be complex. The effects of predictors on the failure process may be difficult to assess over longer periods of time, as the commonly used assumption of proportionality of hazards…

Applications · Statistics 2015-09-07 Yolanda Hagar , James J. Dignam , Vanja Dukic

Recently Liu and Wang derived the likelihood ratio test (LRT) statistic and its asymptotic distribution for testing equality of two multinomial distributions vs. the alternative that the second distribution is larger in terms of increasing…

Statistics Theory · Mathematics 2007-06-13 Arthur Cohen , John Kolassa , Harold Sackrowitz

Nonparametric tests provide robust and powerful alternatives to the corresponding least squares methods. There are two approaches to nonparametric pairwise comparisons of treatment effects, the method based on pairwise rankings and the…

Methodology · Statistics 2018-02-13 Hossein Mansouri , Fangyuan Zhang

The hazard ratio, typically estimated using Cox's famous proportional hazards model, is the most common effect measure used to describe the association or effect of a covariate on a time-to-event outcome. In recent years the hazard ratio…

Methodology · Statistics 2026-01-15 Jonathan W. Bartlett , Dominic Magirr , Tim P. Morris

For some variants of regression models, including partial, measurement error or error-in-variables, latent effects, semi-parametric and otherwise corrupted linear models, the classical parametric tests generally do not perform well. Various…

Statistics Theory · Mathematics 2015-03-25 Pranab K. Sen , Jana Jureckova , Jan Picek