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Related papers: Optimal Experimental Design for Staggered Rollouts

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In an order-of-addition experiment, each treatment is a permutation of m components. It is often unaffordable to test all the m! treatments, and the design problem arises. We consider a model that incorporates the order of each pair of…

Statistics Theory · Mathematics 2018-05-15 Jiayu Peng , Rahul Mukerjee , Dennis K. J. Lin

Real-world experiments involve batched & delayed feedback, non-stationarity, multiple objectives & constraints, and (often some) personalization. Tailoring adaptive methods to address these challenges on a per-problem basis is infeasible,…

Machine Learning · Computer Science 2024-11-11 Ethan Che , Daniel R. Jiang , Hongseok Namkoong , Jimmy Wang

There are multiple cluster randomised trial designs that vary in when the clusters cross between control and intervention states, when observations are made within clusters, and how many observations are made at that time point. Identifying…

Methodology · Statistics 2023-07-20 Samuel I. Watson , Alan Girling , Karla Hemming

We consider a class of convex optimization problems over the simplex of probability measures. Our framework comprises optimal experimental design (OED) problems, in which the measure over the design space indicates which experiments are…

Numerical Analysis · Mathematics 2020-04-20 Roland Herzog , Eric Legler

With increasing interest in adaptive clinical trial designs, challenges are present to drug supply chain management which may offset the benefit of adaptive designs. Thus, it is necessary to develop an optimization tool to facilitate the…

Applications · Statistics 2023-10-16 Jincheng Pang , Hong Yan , Zoe Hua

In the setting of multi-armed trials, adaptive designs are a popular way to increase estimation efficiency, identify optimal treatments, or maximize rewards to individuals. Recent work has considered the case of estimating the effects of K…

Methodology · Statistics 2026-02-10 Evan T. R. Rosenman , Kristen B. Hunter

While a difference-in-differences (DID) design was originally developed with one pre- and one post-treatment period, data from additional pre-treatment periods are often available. How can researchers improve the DID design with such…

Applications · Statistics 2022-02-14 Naoki Egami , Soichiro Yamauchi

We consider repeated measurement designs when a residual or carry-over effect may be present in at most one later period. Since assuming an additive model may be unrealistic for some applications and leads to biased estimation of treatment…

Statistics Theory · Mathematics 2014-11-20 R. A. Bailey , P. Druilhet

The authors propose robust adaptive strategies based on stochastic minimax optimization for a series of simulated treatments on a one-dimensional patient phantom. The plan applied during the first fractions should be able to handle…

Optimization and Control · Mathematics 2018-10-01 Michelle Böck , Anders Forsgren , Kjell Eriksson , Björn Hårdemark

Stepped-wedge designs are increasingly used in randomized experiments to accommodate logistical and ethical constraints by staggering treatment roll-out over time. Despite their popularity, existing analytical methods largely rely on…

Methodology · Statistics 2026-02-12 Liangbo Lyu , Bingkai Wang

We present a new experimental design procedure that divides a set of experimental units into two groups in order to minimize error in estimating an additive treatment effect. One concern is minimizing error at the experimental design stage…

Methodology · Statistics 2021-02-02 Abba M. Krieger , David Azriel , Adam Kapelner

Clinical trials are an integral component of medical research. Trials require careful design to, for example, maintain the safety of participants, use resources efficiently and allow clinically meaningful conclusions to be drawn. Adaptive…

Methodology · Statistics 2025-07-17 James M. McGree , Antony M. Overstall , Mark Jones , Robert K. Mahar

Group sequential designs (GSDs) are well established and the most commonly used adaptive design in confirmatory clinical trials with interim analyses. However, they remain underutilised, and their implementation involves unique theoretical…

Methodology · Statistics 2025-09-09 Zhangyi He , Suzie Cro , Laurent Billot

Randomized experiments are the gold standard for estimating the causal effects of an intervention. In the simplest setting, each experimental unit is randomly assigned to receive treatment or control, and then the outcomes in each treatment…

Methodology · Statistics 2020-06-05 Guillaume Basse , Yi Ding , Panos Toulis

The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

Statistical Mechanics · Physics 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

We consider an adaptive experiment for treatment choice and design a minimax and Bayes optimal adaptive experiment with respect to regret. Given binary treatments, the experimenter's goal is to choose the treatment with the highest expected…

Econometrics · Economics 2025-12-10 Masahiro Kato

Adaptive sample size re-estimation, early stopping, and trial re-design at interim analyses can reduce expected sample sizes in randomised trials. Cluster randomised trials, in which groups of participants are randomly allocated to…

Methodology · Statistics 2026-03-09 Samuel I. Watson , James Martin

Significant evidence has become available that emphasizes the importance of personalization in medicine. In fact, it has become a common belief that personalized medicine is the future of medicine. The core of personalized medicine is the…

Methodology · Statistics 2020-04-30 Qiong Zhang , Amin Khademi , Yongjia Song

Consider an experiment, where a new drug is tested for the first time on human subjects - healthy volunteers. Such experiments are often performed as dose-escalation studies: a set of increasing doses is pre-selected, individuals are…

Statistics Theory · Mathematics 2016-08-17 Samuel Rosa , Radoslav Harman

We study the problem of causal structure learning when the experimenter is limited to perform at most $k$ non-adaptive experiments of size $1$. We formulate the problem of finding the best intervention target set as an optimization problem,…

Machine Learning · Computer Science 2018-08-03 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Elias Bareinboim