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This article focuses on the estimation and design aspects of a bivariate collocated cokriging experiment. For a large class of covariance matrices, a linear dependency criterion is identified, which allows the best linear unbiased estimator…

Methodology · Statistics 2022-03-15 Subhadra Dasgupta , Siuli Mukhopadhyay , Jonathan Keith

We develop a unified theory of designs for controlled experiments that balance baseline covariates a priori (before treatment and before randomization) using the framework of minimax variance and a new method called kernel allocation. We…

Statistics Theory · Mathematics 2017-08-02 Nathan Kallus

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

We study the question of how best to stratify units into matched pairs in online experiments, so that units within a pair receive opposite treatment. Past work by Bai, Romano, and Shaikh (2022) has demonstrated the asymptotic variance…

Methodology · Statistics 2025-05-26 Tim Morrison

This paper proposes an adaptive random experiment design (ARED) algorithm that can be applied to optimize the multiple factors and levels experiments. The algorithm takes real-time model error as the adaptive condition, and outputs a model…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Zhou Qiao , Duan Xiaochang , Tang Wei

We consider the performance of the difference-in-means estimator in a two-arm randomized experiment under common experimental endpoints such as continuous (regression), incidence, proportion and survival. We examine performance under both…

Statistics Theory · Mathematics 2025-07-08 David Azriel , Abba M. Krieger , Adam Kapelner

In the first stage of a two-stage study, the researcher uses a statistical model to impute the unobserved exposures. In the second stage, imputed exposures serve as covariates in epidemiological models. Imputation error in the first stage…

Applications · Statistics 2021-07-19 Ron Sarafian , Itai Kloog , Jonathan D. Rosenblatt

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

Methodology · Statistics 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

The hybrid approach to experimental design aims to control frequentist operating characteristics of Bayesian decision procedures. These operating characteristics are assessed by simulating sampling distributions of posterior summaries under…

Methodology · Statistics 2026-05-04 Luke Hagar , James M. McGree

Adaptive designs have been proposed for clinical trials in which the nuisance parameters or alternative of interest are unknown or likely to be misspecified before the trial. Whereas most previous works on adaptive designs and mid-course…

Methodology · Statistics 2011-05-18 Jay Bartroff , Tze Leung Lai

Data from both a randomized trial and an observational study are sometimes simultaneously available for evaluating the effect of an intervention. The randomized data typically allows for reliable estimation of average treatment effects but…

Methodology · Statistics 2021-12-01 David Cheng , Tianxi Cai

In this paper, we present a new way of matching in observational studies that overcomes three limitations of existing matching approaches. First, it directly balances covariates with multi-valued treatments without requiring the generalized…

Applications · Statistics 2019-07-11 Magdalena Bennett , Juan Pablo Vielma , Jose R. Zubizarreta

The increasing availability of passively observed data has yielded a growing methodological interest in "data fusion." These methods involve merging data from observational and experimental sources to draw causal conclusions -- and they…

Methodology · Statistics 2021-12-15 Evan Rosenman , Art B. Owen

There is a movement in design of experiments away from the classic randomization put forward by Fisher, Cochran and others to one based on optimization. In fixed-sample trials comparing two groups, measurements of subjects are known in…

Methodology · Statistics 2018-10-22 Adam Kapelner , Abba M. Krieger , Uri Shalit , David Azriel

Matching in observational studies faces complications when units enroll in treatment on a rolling basis. While each treated unit has a specific time of entry into the study, control units each have many possible comparison, or…

Methodology · Statistics 2024-07-16 Amanda K. Glazer , Samuel D. Pimentel

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

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

Crossover designs randomly assign each unit to receive a sequence of treatments. By comparing outcomes within the same unit, these designs can effectively eliminate between-unit variation and facilitate the identification of both…

Methodology · Statistics 2026-04-21 Zhichao Jiang , Peng Ding

The optimal design of experiments typically involves solving an NP-hard combinatorial optimization problem. In this paper, we aim to develop a globally convergent and practically efficient optimization algorithm. Specifically, we consider a…

Econometrics · Economics 2022-11-29 Yiping Lu , Jiajin Li , Lexing Ying , Jose Blanchet

Hybrid clinical trials, that borrow real-world data (RWD), are gaining interest, especially for rare diseases. They assume RWD and randomized control arm be exchangeable, but violations can bias results, inflate type I error, or reduce…

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