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This paper explores an approach to Bayesian sample size determination in clinical trials. The approach falls into the category of what is often called "proper Bayesian", in that it does not mix frequentist concepts with Bayesian ones. A…

统计方法学 · 统计学 2012-04-23 Robb J. Muirhead , Adina I. Soaita

In this paper, a Bayesian approach is developed for simultaneously comparing multiple experimental treatments with a common control treatment in an exploratory clinical trial. The sample size is set to ensure that, at the end of the study,…

统计理论 · 数学 2019-11-14 John Whitehead , Faye Cleary , Amanda Turner

Power and sample size analysis comprises a critical component of clinical trial study design. There is an extensive collection of methods addressing this problem from diverse perspectives. The Bayesian paradigm, in particular, has attracted…

统计方法学 · 统计学 2021-12-08 Jane Pan , Sudipto Banerjee

Despite their importance in supporting experimental conclusions, standard statistical tests are often inadequate for research areas, like the life sciences, where the typical sample size is small and the test assumptions difficult to…

统计方法学 · 统计学 2011-04-15 Pietro Berkes , Jozsef Fiser

Adapting the final sample size of a trial to the evidence accruing during the trial is a natural way to address planning uncertainty. Designs with adaptive sample size need to account for their optional stopping to guarantee strict type-I…

Bayesian design of experiments and sample size calculations usually rely on complex Monte Carlo simulations in practice. Obtaining bounds on Bayesian notions of the false-positive rate and power therefore often lack closed-form or…

统计方法学 · 统计学 2025-02-06 Riko Kelter , Samuel Pawel

Determining an appropriate sample size is a critical element of study design, and the method used to determine it should be consistent with the planned analysis. When the planned analysis involves Bayes factor hypothesis testing, the sample…

统计方法学 · 统计学 2024-11-14 Samuel Pawel , Leonhard Held

The reproducibility crisis has led to an increasing number of replication studies being conducted. Sample sizes for replication studies are often calculated using conditional power based on the effect estimate from the original study.…

统计方法学 · 统计学 2022-10-19 Charlotte Micheloud , Leonhard Held

Bayesian sample size calculations in clinical trials usually rely on complex Monte Carlo simulations in practice. Obtaining bounds on Bayesian notions of the false-positive rate and power often lack closed-form or approximate numerical…

统计方法学 · 统计学 2026-03-03 Riko Kelter

We consider Bayesian sample size determination using a criterion that utilizes the first two moments of the expected posterior variance. We study the resulting sample size in dependence on the chosen prior and explore the success rate for…

统计理论 · 数学 2020-02-28 Jörg Martin , Clemens Elster

Simulation offers a simple and flexible way to estimate the power of a clinical trial when analytic formulae are not available. The computational burden of using simulation has, however, restricted its application to only the simplest of…

统计方法学 · 统计学 2020-12-04 Duncan T. Wilson , Rebecca E. A. Walwyn , Richard Hooper , Julia Brown , Amanda J. Farrin

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…

统计方法学 · 统计学 2015-03-31 Kean Ming Tan , Noah Simon , Daniela Witten

Bayesian inference and the use of posterior or posterior predictive probabilities for decision making have become increasingly popular in clinical trials. The current practice in Bayesian clinical trials relies on a hybrid…

统计方法学 · 统计学 2024-04-30 Shirin Golchi , James Willard

Research often necessitates of samples, yet obtaining large enough samples is not always possible. When it is, the researcher may use one of two methods for deciding upon the required sample size: rules-of-thumb, quick yet uncertain, and…

统计方法学 · 统计学 2016-04-08 Jose D. Perezgonzalez

Randomized controlled clinical trials provide the gold standard for evidence generation in relation to the efficacy of a new treatment in medical research. Relevant information from previous studies may be desirable to incorporate in the…

统计方法学 · 统计学 2024-05-29 Lou E. Whitehead , James M. S. Wason , Oliver Sailer , Haiyan Zheng

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…

统计方法学 · 统计学 2021-07-06 Alejandro Schuler

The goal of any estimation study is an interval estimation of a the parameter(s) of interest. These estimations are mostly expressed using empirical confidence intervals that are based on sample point estimates of the corresponding…

统计方法学 · 统计学 2018-07-03 Ilya Novikov

Unblinded sample size re-estimation (SSR) is often planned in a clinical trial when there is large uncertainty about the true treatment effect. For Proof-of Concept (PoC) in a Phase II dose finding study, contrast test can be adopted to…

统计方法学 · 统计学 2022-11-11 Qingyang Liu , Guanyu Hu , Binqi Ye , Susan Wang , Yaoshi Wu

This paper develops Bayesian sample size formulae for experiments comparing two groups. We assume the experimental data will be analysed in the Bayesian framework, where pre-experimental information from multiple sources can be represented…

统计方法学 · 统计学 2022-03-09 Haiyan Zheng , Thomas Jaki , James M. S. Wason

We propose BaySize, a sample size calculator for phase I clinical trials using Bayesian models. BaySize applies the concept of effect size in dose finding, assuming the MTD is defined based on an equivalence interval. Leveraging a decision…

统计方法学 · 统计学 2023-03-29 Xiaolei Lin , Jiaying Lyu , Shijie Yuan , Sue-Jane Wang , Yuan Ji
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