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The increasing prevalence of rich sources of data and the availability of electronic medical record databases and electronic registries opens tremendous opportunities for enhancing medical research. For example, controlled trials are…

Methodology · Statistics 2015-09-23 Liwen Ouyang , Daniel W. Apley , Sanjay Mehrotra

We consider the problem of selecting the optimal subgroup to treat when data on covariates is available from a randomized trial or observational study. We distinguish between four different settings including (i) treatment selection when…

Methodology · Statistics 2018-02-28 Tyler J. VanderWeele , Alex R. Luedtke , Mark J. van der Laan , Ronald C. Kessler

In this paper we study the problems of estimating heterogeneity in causal effects in experimental or observational studies and conducting inference about the magnitude of the differences in treatment effects across subsets of the…

Machine Learning · Statistics 2022-06-08 Susan Athey , Guido Imbens

Split-plot designs find wide applicability in multifactor experiments with randomization restrictions. Practical considerations often warrant the use of unbalanced designs. This paper investigates randomization based causal inference in…

Methodology · Statistics 2019-06-21 Rahul Mukerjee , Tirthankar Dasgupta

Treatment-covariate interaction tests are commonly applied by researchers to examine whether the treatment effect varies across patient subgroups defined by baseline characteristics. The objective of this study is to explore…

Methodology · Statistics 2024-03-12 Likun Zhang , Wei Ma

The seminal work of Morgan and Rubin (2012) considers rerandomization for all the units at one time. In practice, however, experimenters may have to rerandomize units sequentially. For example, a clinician studying a rare disease may be…

Applications · Statistics 2018-04-17 Quan Zhou , Philip Ernst , Kari Lock Morgan , Donald Rubin , Anru Zhang

This study designs an adaptive experiment for efficiently estimating average treatment effects (ATEs). In each round of our adaptive experiment, an experimenter sequentially samples an experimental unit, assigns a treatment, and observes…

Methodology · Statistics 2024-06-21 Masahiro Kato , Akihiro Oga , Wataru Komatsubara , Ryo Inokuchi

This paper proposes a~simple, yet powerful, method for balancing distributions of covariates for causal inference based on observational studies. The method makes it possible to balance an arbitrary number of quantiles (e.g., medians,…

Methodology · Statistics 2024-03-14 Maciej Beręsewicz

Weighting methods in causal inference have been widely used to achieve a desirable level of covariate balancing. However, the existing weighting methods have desirable theoretical properties only when a certain model, either the propensity…

Machine Learning · Statistics 2023-05-24 Insung Kong , Yuha Park , Joonhyuk Jung , Kwonsang Lee , Yongdai Kim

The "design phase" refers to a stage in observational studies, during which a researcher constructs a subsample that achieves a better balance in covariate distributions between the treated and untreated units. In this paper, we study the…

Econometrics · Economics 2025-09-03 Junho Choi

We describe how to calculate standard errors for A/B tests that include clustered data, ratio metrics, and/or covariate adjustment. We may do this for power analysis/sample size calculations prior to running an experiment using historical…

Methodology · Statistics 2024-06-12 Tim Hesterberg , Ben Knight

The present paper deals with the problem of allocating patients to two competing treatments in the presence of covariates or prognostic factors in order to achieve a good trade-off among ethical concerns, inferential precision and…

Methodology · Statistics 2012-08-17 Alessandro Baldi Antognini , Maroussa Zagoraiou

Understanding and characterizing treatment effect variation in randomized experiments has become essential for going beyond the "black box" of the average treatment effect. Nonetheless, traditional statistical approaches often ignore or…

Statistics Theory · Mathematics 2017-07-31 Peng Ding , Avi Feller , Luke Miratrix

Inferring the causal effect of a treatment on an outcome in an observational study requires adjusting for observed baseline confounders to avoid bias. However, adjusting for all observed baseline covariates, when only a subset are…

Methodology · Statistics 2021-02-04 Wen Wei Loh , Stijn Vansteelandt

We consider a setting in which we have a treatment and a large number of covariates for a set of observations, and wish to model their relationship with an outcome of interest. We propose a simple method for modeling interactions between…

Methodology · Statistics 2012-12-14 Lu Tian , Ash Alizadeh , Andrew Gentles , Robert Tibshirani

Some units from a population receive the same treatment that is different from treatments available for other reservoir populations. The minimal sufficient statistic $s$ for the pre-treatment $x$-covariates's distributions in the…

Statistics Theory · Mathematics 2014-08-05 Yannis G. Yatracos

Variational inference is increasingly being addressed with stochastic optimization. In this setting, the gradient's variance plays a crucial role in the optimization procedure, since high variance gradients lead to poor convergence. A…

Machine Learning · Computer Science 2020-10-23 Tomas Geffner , Justin Domke

Randomized experimentation (also known as A/B testing or bucket testing) is widely used in the internet industry to measure the metric impact obtained by different treatment variants. A/B tests identify the treatment variant showing the…

Test equating using covariates may be applied to provide comparable scores from multiple test forms when no anchor items are available. However, its performance may be compromised if some of the covariates themselves are measured using…

Methodology · Statistics 2026-05-28 Michaela Vařejková , Patrícia Martinková , Eva Potužníková

Practitioners and academics have long appreciated the benefits of covariate balancing when they conduct randomized experiments. For web-facing firms running online A/B tests, however, it still remains challenging in balancing covariate…

Methodology · Statistics 2024-05-27 Jinglong Zhao , Zijie Zhou