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Background: Clinical prediction models are increasingly used to inform healthcare decisions, but determining the minimum sample size for their development remains a critical and unresolved challenge. Inadequate sample sizes can lead to…

Machine Learning · Computer Science 2026-03-02 Diana Shamsutdinova , Felix Zimmer , Oyebayo Ridwan Olaniran , Sarah Markham , Daniel Stahl , Gordon Forbes , Ewan Carr

External controls from historical trials or observational data can augment randomized controlled trials when large-scale randomization is impractical or unethical, such as in drug evaluation for rare diseases. However, non-randomized…

Methodology · Statistics 2025-05-08 Ke Zhu , Shu Yang , Xiaofei Wang

Sample size derivation is a crucial element of the planning phase of any confirmatory trial. A sample size is typically derived based on constraints on the maximal acceptable type I error rate and a minimal desired power. Here, power…

Adaptive approaches, allowing for more flexible trial design, have been proposed for individually randomized trials to save time or reduce sample size. However, adaptive designs for cluster-randomized trials in which groups of participants…

Methodology · Statistics 2022-01-10 Junwei Shen , Shirin Golchi , Erica E. M. Moodie , David Benrimoh

Information borrowing from historical data is gaining attention in clinical trials of rare and pediatric diseases, where statistical power may be insufficient for confirmation of efficacy if the sample size is small. Although Bayesian…

Methodology · Statistics 2023-05-25 Masahiro Kojima

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…

Methodology · Statistics 2025-02-06 Riko Kelter , Samuel Pawel

This paper presents a Bayesian framework for assessing the adequacy of a model without the necessity of explicitly enumerating a specific alternate model. A test statistic is developed for tracking the performance of the model across…

Artificial Intelligence · Computer Science 2013-03-25 Kathryn Blackmond Laskey

We propose a Bayesian nonparametric (BNP) approach to causal inference using observational data consisting of outcome, treatment, and a set of confounders. The conditional distribution of the outcome given treatment and confounders is…

Methodology · Statistics 2025-12-01 Yongseok Hur , Joonhyuk Jung , Juhee Lee

This paper devises a fully Bayesian sample size determination method for hierarchical model-based small area estimation with a decision risk approach. A new loss function specified around a desired maximum posterior variance target…

Methodology · Statistics 2018-02-27 Peter Dutey-Magni

Bayesian coresets have emerged as a promising approach for implementing scalable Bayesian inference. The Bayesian coreset problem involves selecting a (weighted) subset of the data samples, such that the posterior inference using the…

Machine Learning · Statistics 2021-03-01 Jacky Y. Zhang , Rajiv Khanna , Anastasios Kyrillidis , Oluwasanmi Koyejo

Estimation frameworks for statistical inference are preferred to hypothesis testing when quantifying uncertainty and precise estimation are more valuable than binary decisions about statistical significance. Study design for…

Methodology · Statistics 2025-10-29 Luke Hagar , Nathaniel T. Stevens

When incorporating historical control data into the analysis of current randomized controlled trial data, it is critical to account for differences between the datasets. When the cause of the difference is an unmeasured factor and…

Methodology · Statistics 2025-09-10 Tomohiro Ohigashi , Kazushi Maruo , Takashi Sozu , Masahiko Gosho

An ongoing "reproducibility crisis" calls into question scientific discoveries across a variety of disciplines ranging from life to social sciences. Replication studies aim to investigate the validity of findings in published research, and…

Applications · Statistics 2023-05-09 Konstantinos Bourazas , Guido Consonni , Laura Deldossi

Bayesian dynamic borrowing methods incorporate historical control data into current clinical trial analyses while allowing the degree of borrowing to depend on the compatibility between historical and current data. Although many methods…

Methodology · Statistics 2026-05-27 Tomohiro Ohigashi , Wataru Murasaki , Masahiko Gosho

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

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Given a supervised machine learning problem where the training set has been subject to a known sampling bias, how can a model be trained to fit the original dataset? We achieve this through the Bayesian inference framework by altering the…

Machine Learning · Statistics 2022-03-16 Max Sklar

It is crucial to design Phase II cancer clinical trials that balance the efficiency of treatment selection with clinical practicality. Sargent and Goldberg proposed a frequentist design that allow decision-making even when the primary…

Methodology · Statistics 2025-05-15 Moka Komaki , Satoru Shinoda , Haiyan Zheng , Kouji Yamamoto

We consider Bayesian model selection in generalized linear models that are high-dimensional, with the number of covariates p being large relative to the sample size n, but sparse in that the number of active covariates is small compared to…

Statistics Theory · Mathematics 2011-12-26 Rina Foygel , Mathias Drton

Cluster sampling is common in survey practice, and the corresponding inference has been predominantly design-based. We develop a Bayesian framework for cluster sampling and account for the design effect in the outcome modeling. We consider…

Methodology · Statistics 2020-06-24 Susanna Makela , Yajuan Si , Andrew Gelman