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Stochastic programming is widely used for energy system design optimization under uncertainty but can exponentially increase the computational complexity with the number of scenarios. Common scenario reduction techniques, like…

Optimization and Control · Mathematics 2025-08-14 Boyung Jürgens , Hagen Seele , Hendrik Schricker , Christiane Reinert , Niklas von der Assen

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

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

Educational research often studies subjects that are in naturally clustered groups of classrooms or schools. When designing a randomized experiment to evaluate an intervention directed at teachers, but with effects on teachers and their…

Applications · Statistics 2009-08-17 Brenda Jenney , Sharon Lohr

We demonstrate the advantages of randomization in coherent quantum dynamical control. For systems which are either time-varying or require decoupling cycles involving a large number of operations, we find that simple randomized protocols…

Quantum Physics · Physics 2009-11-13 Lea F. Santos , Lorenza Viola

The subject of this work is multiple group random coefficients regression models with several treatments and one control group. Such models are often used for studies with cluster randomized trials. We investigate A-, D- and E-optimal…

Statistics Theory · Mathematics 2018-07-27 Maryna Prus

In most clinical trials, patients are randomized with equal probability among treatments to obtain an unbiased estimate of the treatment effect. Response-adaptive randomization (RAR) has been proposed for ethical reasons, where the…

Applications · Statistics 2019-09-16 Thevaa Chandereng , Rick Chappell

We propose an efficient probabilistic method to solve a deterministic problem -- we present a randomized optimization approach that drastically reduces the enormous computational cost of optimizing designs under many load cases for both…

Optimization and Control · Mathematics 2017-10-11 Xiaojia Zhang , Eric de Sturler , Glaucio H. Paulino

We describe a new family of coupling designs, extending the basic principle of stratified randomization to experiments with continuous, constrained multivariate, text/image and other irregular treatment spaces. Our approach is to first…

Econometrics · Economics 2026-04-14 Max Cytrynbaum , Fredrik Sävje

We develop a new approach for quantifying uncertainty in finite populations, by using design distributions to calibrate sensitivity parameters in finite population identified sets. This yields uncertainty intervals that can be interpreted…

Econometrics · Economics 2026-05-12 Brendan Kline , Matthew A. Masten

Under a generalised estimating equation analysis approach, approximate design theory is used to determine Bayesian D-optimal designs. For two examples, considering simple exchangeable and exponential decay correlation structures, we compare…

Methodology · Statistics 2024-02-16 Laura Etfer , James M. S. Wason , Michael J. Grayling

Cluster randomized trials (CRTs) are studies where treatment is randomized at the cluster level but outcomes are typically collected at the individual level. When CRTs are employed in pragmatic settings, baseline population characteristics…

Methodology · Statistics 2023-06-22 Mary M. Ryan , Denise Esserman , Fan Li

Given two 2-level factors of interest, a 2^2 split-plot design} (a) takes each of the $2^2=4$ possible factorial combinations as a treatment, (b) identifies one factor as `whole-plot,' (c) divides the experimental units into blocks, and (d)…

Methodology · Statistics 2016-02-15 Anqi Zhao , Peng Ding , Tirthankar Dasgupta

We systematically investigate issues due to mis-specification that arise in estimating causal effects when (treatment) interference is informed by a network available pre-intervention, i.e., in situations where the outcome of a unit may…

Methodology · Statistics 2018-10-22 Vishesh Karwa , Edoardo M. Airoldi

Recently, methodology was presented to facilitate the incorporation of interim analyses in stepped-wedge (SW) cluster randomised trials (CRTs). Here, we extend this previous discussion. We detail how the stopping boundaries, allocation…

Methodology · Statistics 2018-03-28 Michael Grayling , David Robertson , James Wason , Adrian Mander

This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the…

Methodology · Statistics 2025-04-24 Alberto Abadie , Jinglong Zhao

This article studies the benefits of using spatially randomized experimental designs which partition the experimental area into distinct, non-overlapping units with treatments assigned randomly. Such designs offer improved policy evaluation…

Statistics Theory · Mathematics 2025-11-18 Ying Yang , Chengchun Shi , Fang Yao , Shouyang Wang , Hongtu Zhu

Randomized controlled trials are susceptible to imbalance on covariates predictive of the outcome. Rerandomization and deterministic treatment assignment are two proposed solutions. This paper explores the relationship between…

Methodology · Statistics 2023-10-03 Connor T. Jerzak , Rebecca Goldstein

A growing number of researchers are conducting randomized experiments to analyze causal relationships in network settings where units influence one another. A dominant methodology for analyzing these experiments is design-based, leveraging…

Methodology · Statistics 2024-07-30 Ambarish Chattopadhyay , Kosuke Imai , Jose R. Zubizarreta

Policymakers in resource-constrained settings require experimental designs that satisfy strict budget limits while ensuring precise estimation of treatment effects. We propose a framework that applies a dependent randomized rounding…

Machine Learning · Statistics 2025-06-17 Khurram Yamin , Edward Kennedy , Bryan Wilder