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Related papers: Sample size re-estimation in Phase 2 Dose-Finding:…

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We extend the work of Hahn and Carvalho (2015) and develop a doubly-regularized sparse regression estimator by synthesizing Bayesian regularization with penalized least squares within a decision-theoretic framework. In contrast to existing…

Methodology · Statistics 2025-02-04 Aihua Li , Surya T. Tokdar , Jason Xu

To design Bayesian studies, criteria for the operating characteristics of posterior analyses - such as power and the type I error rate - are often assessed by estimating sampling distributions of posterior probabilities via simulation. In…

Methodology · Statistics 2025-03-17 Luke Hagar , Nathaniel T. Stevens

Loss of power and clear description of treatment differences are key issues in designing and analyzing a clinical trial where non-proportional hazard is a possibility. A log-rank test may be very inefficient and interpretation of the hazard…

Applications · Statistics 2021-01-13 Satrajit Roychoudhury , Keaven M Anderson , Jiabu Ye , Pralay Mukhopadhyay

Use of historical control data to augment a small internal control arm in a randomized control trial (RCT) can lead to significant improvement of the efficiency of the trial. It introduces the risk of potential bias, since the historical…

Methodology · Statistics 2022-10-05 Jixian Wang , Hongtao Zhang , Ram Tiwari

We consider large-scale studies in which it is of interest to test a very large number of hypotheses, and then to estimate the effect sizes corresponding to the rejected hypotheses. For instance, this setting arises in the analysis of gene…

Methodology · Statistics 2015-03-31 Kean Ming Tan , Noah Simon , Daniela Witten

Extrapolating treatment effects from related studies is a promising strategy for designing and analyzing clinical trials in situations where achieving an adequate sample size is challenging. Bayesian methods are well-suited for this…

Methodology · Statistics 2025-11-25 Tristan Fauvel , Julien Tanniou , Pascal Godbillot , Marie Génin , Billy Amzal

Binary observations are often repeated to improve data quality, creating technical replicates. Several scoring methods are commonly used to infer the actual individual state and obtain a probability for each state. The common practice of…

Methodology · Statistics 2025-01-24 Manuela Royer-Carenzi , Hadrien Lorenzo , Pierre Pudlo

Projection-based testing for mean trajectory differences in two groups of irregularly and sparsely observed functional data has garnered significant attention in the literature because it accommodates a wide spectrum of group differences…

Methodology · Statistics 2023-10-11 Salil Koner , Sheng Luo

For randomized clinical trials where a single, primary, binary endpoint would require unfeasibly large sample sizes, composite endpoints are widely chosen as the primary endpoint. Despite being commonly used, composite endpoints entail…

Methodology · Statistics 2022-09-27 Marta Bofill Roig , Guadalupe Gómez Melis , Martin Posch , Franz Koenig

The Bayesian Optimal Phase II (BOP2) framework is a flexible trial design that can naturally facilitate complex adaptations due to its Bayesian setting. BOP2 uses equal randomisation and equally placed interim analyses in its design, but it…

Applications · Statistics 2025-11-19 Connor Fitchett , Ayon Mukherjee , Sofía S. Villar , David S. Robertson

Practical employment of Bayesian trial designs is still rare. Even if accepted in principle, the regulators have commonly required that such designs be calibrated according to an upper bound for the frequentist type I error rate. This…

Methodology · Statistics 2026-03-25 Elja Arjas , Dario Gasbarra

In comparative studies, such as in causal inference and clinical trials, balancing important covariates is often one of the most important concerns for both efficient and credible comparison. However, chance imbalance still exists in many…

Methodology · Statistics 2018-07-30 Yichen Qin , Yang Li , Wei Ma , Feifang Hu

Colocalization analyses assess whether two traits are affected by the same or distinct causal genetic variants in a single gene region. A class of Bayesian colocalization tests are now routinely used in practice; for example, for genetic…

Methodology · Statistics 2024-02-20 Ashish Patel , John C. Whittaker , Stephen Burgess

Trials enroll a large number of subjects in order to attain power, making them expensive and time-consuming. Sample size calculations are often performed with the assumption of an unadjusted analysis, even if the trial analysis plan…

Methodology · Statistics 2021-07-06 Alejandro Schuler

Platform trials evaluate multiple experimental treatments against a common control group (and/or against each other), which often reduces the trial duration and sample size. Bayesian platform designs offer several practical advantages,…

Methodology · Statistics 2025-07-18 Luke Hagar , Lara Maleyeff , Shirin Golchi , Dick Menzies

Contemporary sample size calculations for external validation of risk prediction models require users to specify fixed values of assumed model performance metrics alongside target precision levels (e.g., 95% CI widths). However, due to the…

Applications · Statistics 2026-02-13 Mohsen Sadatsafavi , Paul Gustafson , Solmaz Setayeshgar , Laure Wynants , Richard D Riley

Phase II basket trials are popular tools to evaluate efficacy of a new treatment targeting genetic alteration common to a set of different cancer histologies. Efficient designs are obtained by pooling data from the different arms (e.g.,…

Methodology · Statistics 2022-11-01 Massimo Ventrucci , Alessandro Vagheggini

Many phase II clinical trials have used survival outcomes as the primary endpoints in recent decades. Suppose the radiotherapy is evaluated in a phase II trial using survival outcomes. In that case, the competing risk issue often arises…

Applications · Statistics 2022-03-15 Jina Park , Wenjing Hu , Ick Hoon Jin , Hao Liu , Yong Zang

Sample size criteria are often expressed in terms of the concentration of the posterior density, as controlled by some sort of error bound. Since this is done pre-experimentally, one can regard the posterior density as a function of the…

Statistics Theory · Mathematics 2007-06-13 B. Clarke , Ao Yuan

The R package BayesPPD (Bayesian Power Prior Design) supports Bayesian power and type I error calculation and model fitting after incorporating historical data with the power prior and the normalized power prior for generalized linear…

Applications · Statistics 2021-12-30 Yueqi Shen , Matthew A. Psioda , Joseph G. Ibrahim
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