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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…

Methodology · Statistics 2026-03-03 Riko Kelter

The survey experiment is widely used in economics and social sciences to evaluate the effects of treatments or programs. In a standard population-based survey experiment, the experimenter randomly draws experimental units from a target…

Methodology · Statistics 2026-05-11 Pengfei Tian , Jiyang Ren , Yingying Ma

There is growing interest in Bayesian clinical trial designs with informative prior distributions, e.g. for extrapolation of adult data to pediatrics, or use of external controls. While the classical type I error is commonly used to…

Methodology · Statistics 2023-09-06 Nicky Best , Maxine Ajimi , Beat Neuenschwander , Gaelle Saint-Hilary , Simon Wandel

When constructing a model to estimate the causal effect of a treatment, it is necessary to control for other factors which may have confounding effects. Because the ignorability assumption is not testable, however, it is usually unclear…

Methodology · Statistics 2022-09-07 Spencer Woody , Carlos M. Carvalho , Jared S. Murray

Recent substantial advances of molecular targeted oncology drug development is requiring new paradigms for early-phase clinical trial methodologies to enable us to evaluate efficacy of several subtypes simultaneously and efficiently. The…

Methodology · Statistics 2023-02-17 Satoshi Hattori , Satoshi Morita

Estimating treatment effects conditional on observed covariates can improve the ability to tailor treatments to particular individuals. Doing so effectively requires dealing with potential confounding, and also enough data to adequately…

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…

In a randomized control trial, the precision of an average treatment effect estimator can be improved either by collecting data on additional individuals, or by collecting additional covariates that predict the outcome variable. We propose…

Methodology · Statistics 2017-09-27 Pedro Carneiro , Sokbae Lee , Daniel Wilhelm

Randomized clinical trials (RCTs) are widely considered the gold standard for evaluating the effectiveness of new treatments or interventions in drug development. Still, they may not be feasible in certain cases, such as with rare diseases…

Methodology · Statistics 2025-08-05 Di Ran , Fanni Zhang , Sima Shahsavari , Kristine Broglio , Alasdair Henderson , Binbing Yu

The U.S. Food and Drug Administration (FDA) released a landmark draft guidance in January 2026 on the use of Bayesian methodology to support primary inference in clinical trials of drugs and biological products. For sponsors, the central…

Applications · Statistics 2026-01-22 Yuan Ji , Ph. D

Statistical analyses of multipopulation studies often use the data to select a particular population as the target of inference. For example, a confidence interval may be constructed for a population only in the event that its sample mean…

Statistics Theory · Mathematics 2025-09-18 Peter Hoff , Surya Tokdar

Randomised field experiments, such as A/B testing, have long been the gold standard for evaluating the value that new software brings to customers. However, running randomised field experiments is not always desired, possible or even…

Software Engineering · Computer Science 2022-07-04 Yuchu Liu , David Issa Mattos , Jan Bosch , Helena Holmström Olsson , Jonn Lantz

Randomized trials are considered the gold standard for estimating causal effects. Trial findings are often used to inform policy and programming efforts, yet their results may not generalize well to a relevant target population due to…

Clinical trials often collect data on multiple outcomes, such as overall survival (OS), progression-free survival (PFS), and response to treatment (RT). In most cases, however, study designs only use primary outcome data for interim and…

Applications · Statistics 2026-04-28 Massimiliano Russo , Steffen Ventz , Lorenzo Trippa

Individualized treatment rules tailor treatments to patients based on clinical, demographic, and other characteristics. Estimation of individualized treatment rules requires the identification of individuals who benefit most from the…

Methodology · Statistics 2024-06-06 Junwei Shen , Erica E. M. Moodie , Shirin Golchi

Testing differences between a treatment and control group is common practice in biomedical research like randomized controlled trials (RCT). The standard two-sample t-test relies on null hypothesis significance testing (NHST) via p-values,…

Methodology · Statistics 2020-05-18 Riko Kelter

When designing and evaluating an experiment or observational study, it is useful to have a realistic hypothesis regarding the average treatment effect. We present an approach to conceptualizing this average by first considering a…

Methodology · Statistics 2026-04-10 Andrew Gelman , Amy Krefman , Lauren Kennedy , Jessica Hullman

Bayesian adaptive designs have gained popularity in all phases of clinical trials with numerous new developments in the past few decades. During the COVID-19 pandemic, the need to establish evidence for the effectiveness of vaccines,…

Methodology · Statistics 2022-03-08 Shirin Golchi

In systematic reviews and meta-analysis, researchers often pool the results of the sample mean and standard deviation from a set of similar clinical trials. A number of the trials, however, reported the study using the median, the minimum…

Methodology · Statistics 2016-10-06 Xiang Wan , Wenqian Wang , Jiming Liu , Tiejun Tong

Using a collection of simulated an real benchmarks, we compare Bayesian and frequentist regularization approaches under a low informative constraint when the number of variables is almost equal to the number of observations on simulated and…

Methodology · Statistics 2015-03-17 Gilles Celeux , Mohammed El Anbari , Jean-Michel Marin , Christian P. Robert