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Restricting randomization in the design of experiments (e.g., using blocking/stratification, pair-wise matching, or rerandomization) can improve the treatment-control balance on important covariates and therefore improve the estimation of…

Econometrics · Economics 2020-11-02 Brian Quistorff , Gentry Johnson

We propose a dynamic allocation procedure that increases power and efficiency when measuring an average treatment effect in sequential randomized trials. Subjects arrive iteratively and are either randomized or paired via a matching…

Methodology · Statistics 2013-05-23 Adam Kapelner , Abba Krieger

This work revisits optimal response-adaptive designs from a type-I error rate perspective, highlighting when and how much these allocations exacerbate type-I error rate inflation - an issue previously undocumented. We explore a range of…

Methodology · Statistics 2025-09-09 Lukas Pin , Sofía S. Villar , William F. Rosenberger

This paper provides a design-based framework for variance (bound) estimation in experimental analysis. Results are applicable to virtually any combination of experimental design, linear estimator (e.g., difference-in-means, OLS, WLS) and…

Methodology · Statistics 2021-09-21 Joel A. Middleton

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

Methodology · Statistics 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen

A combinatorial intervention, consisting of multiple treatments applied to a single unit with potentially interactive effects, has substantial applications in fields such as biomedicine, engineering, and beyond. Given $p$ possible…

Machine Learning · Computer Science 2025-06-05 Divya Shyamal , Jiaqi Zhang , Caroline Uhler

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

To ensure reliable causal conclusions from observational (i.e., non-randomized) studies, researchers routinely conduct sensitivity analysis to assess robustness to hidden bias due to unmeasured confounding. In matched observational studies…

Methodology · Statistics 2025-11-11 Siyu Heng , Elaine K. Chiu , Hyunseung Kang

We develop a framework for goal-oriented optimal design of experiments (GOODE) for large-scale Bayesian linear inverse problems governed by PDEs. This framework differs from classical Bayesian optimal design of experiments (ODE) in the…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Ahmed Attia , Alen Alexanderian , Arvind K. Saibaba

Matching is an appealing way to design observational studies because it mimics the data structure produced by stratified randomized trials, pairing treated individuals with similar controls. After matching, inference is often conducted…

Methodology · Statistics 2024-03-05 Samuel D. Pimentel , Ruoqi Yu

In precision medicine, one of the most important problems is estimating the optimal individualized treatment rules (ITR), which typically involves recommending treatment decisions based on fully observed individual characteristics of…

Methodology · Statistics 2025-10-15 Yue Zhang , Shanshan Luo , Zhi Geng , Yangbo He

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

Methodology · Statistics 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

Statistical matching methods are widely used in the social and health sciences to estimate causal effects using observational data. Often the objective is to find comparable groups with similar covariate distributions in a dataset, with the…

Applications · Statistics 2021-01-19 Felix Bestehorn , Maike Bestehorn , Christian Kirches

We propose a generalization of the standard matched pairs design in which experimental units (often geographic regions or geos) may be combined into larger units/regions called "supergeos" in order to improve the average matching quality.…

Methodology · Statistics 2023-01-31 Aiyou Chen , Nick Doudchenko , Shunhua Jiang , Cliff Stein , Bicheng Ying

Time-series experiments, also called switchback experiments or N-of-1 trials, play increasingly important roles in modern applications in medical and industrial areas. Under the potential outcomes framework, recent research has studied…

Methodology · Statistics 2025-10-28 Zhexiao Lin , Peng Ding

One of the most significant current discussions in the field of data mining is classifying imbalanced data. In recent years, several ways are proposed such as algorithm level (internal) approaches, data level (external) techniques, and…

Machine Learning · Computer Science 2021-06-03 Maliheh Roknizadeh , Hossein Monshizadeh Naeen

In this paper we introduce a binary search algorithm that efficiently finds initial maximum likelihood estimates for sequential experiments where a binary response is modeled by a continuous factor. The problem is motivated by switching…

Statistics Theory · Mathematics 2008-08-27 Juha Karvanen

Optimal experimental design (OED) plays an important role in the problem of identifying uncertainty with limited experimental data. In many applications, we seek to minimize the uncertainty of a predicted quantity of interest (QoI) based on…

Optimization and Control · Mathematics 2022-01-06 Keyi Wu , Peng Chen , Omar Ghattas

Factorial designs are widely used in agriculture, engineering, and the social sciences to study the causal effects of several factors simultaneously on a response. The objective of such a design is to estimate all factorial effects of…

Methodology · Statistics 2015-11-09 Zach Branson , Tirthankar Dasgupta , Donald B. Rubin

For randomized clinical trials where a single, primary, binary endpoint would require unfeasibly large sample sizes, composite endpoints are widely chosen as the primary endpoint. Despite being commonly used, composite endpoints entail…

Methodology · Statistics 2022-09-27 Marta Bofill Roig , Guadalupe Gómez Melis , Martin Posch , Franz Koenig
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