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Optimal treatment regimes are personalized policies for making a treatment decision based on subject characteristics, with the policy chosen to maximize some value. It is common to aim to maximize the mean outcome in the population, via a…

Methodology · Statistics 2022-02-28 Liu Leqi , Edward H. Kennedy

The literature focuses on the mean of welfare regret, which can lead to undesirable treatment choice due to sensitivity to sampling uncertainty. We propose to minimize the mean of a nonlinear transformation of regret and show that singleton…

Econometrics · Economics 2024-10-03 Toru Kitagawa , Sokbae Lee , Chen Qiu

In many applied fields, researchers are often interested in tailoring treatments to unit-level characteristics in order to optimize an outcome of interest. Methods for identifying and estimating treatment policies are the subject of the…

Methodology · Statistics 2020-04-06 Eli Sherman , David Arbour , Ilya Shpitser

Many policy problems involve designing individualized treatment allocation rules to maximize the equilibrium social welfare of interacting agents. Focusing on large-scale simultaneous decision games with strategic complementarities, we…

Econometrics · Economics 2024-11-12 Guanyi Wang

A treatment regime formalizes personalized medicine as a function from individual patient characteristics to a recommended treatment. A high-quality treatment regime can improve patient outcomes while reducing cost, resource consumption,…

Methodology · Statistics 2015-04-30 Yichi Zhang , Eric B. Laber , Anastasios Tsiatis , Marie Davidian

This paper studies the problem of optimally allocating treatments in the presence of spillover effects, using information from a (quasi-)experiment. I introduce a method that maximizes the sample analog of average social welfare when…

Econometrics · Economics 2024-04-09 Davide Viviano

Individualized treatment rules aim to identify if, when, which, and to whom treatment should be applied. A globally aging population, rising healthcare costs, and increased access to patient-level data have created an urgent need for…

Methodology · Statistics 2019-01-04 Ying-Qi Zhao , Eric B. Laber , Yang Ning , Sumona Saha , Bruce Sands

A fundamental principle of clinical medicine is that a treatment should only be administered to those patients who would benefit from it. Treatment strategies that assign treatment to patients as a function of their individual…

Applications · Statistics 2025-06-13 Nicholas Williams , Kara Rudolph , Iván Díaz

The egalitarian equivalent, $ee$, of a societal distribution of outcomes with mean $m$ is the outcome level such that the evaluator is indifferent between the distribution of outcomes and a society in which everyone obtains an outcome of…

Econometrics · Economics 2025-02-24 Eduardo Zambrano

Dynamic treatment regimes are of growing interest across the clinical sciences as these regimes provide one way to operationalize and thus inform sequential personalized clinical decision making. A dynamic treatment regime is a sequence of…

Methodology · Statistics 2013-11-27 Eric B. Laber , Min Qian , Dan J. Lizotte , William E. Pelham , Susan A. Murphy

This paper considers conducting inference about the effect of a treatment (or exposure) on an outcome of interest. In the ideal setting where treatment is assigned randomly, under certain assumptions the treatment effect is identifiable…

Methodology · Statistics 2015-03-06 Amy Richardson , Michael G. Hudgens , Peter B. Gilbert , Jason P. Fine

This study investigates the problem of individualizing treatment allocations using stated preferences for treatments. If individuals know in advance how the assignment will be individualized based on their stated preferences, they may state…

Econometrics · Economics 2023-11-16 Daido Kido

Because many illnesses show heterogeneous response to treatment, there is increasing interest in individualizing treatment to patients [Arch. Gen. Psychiatry 66 (2009) 128--133]. An individualized treatment rule is a decision rule that…

Statistics Theory · Mathematics 2011-05-18 Min Qian , Susan A. Murphy

We present a probabilistic ranking model to identify the optimal treatment in multiple-response experiments. In contemporary practice, treatments are applied over individuals with the goal of achieving multiple ideal properties on them…

In clinical trials and other applications, we often see regions of the feature space that appear to exhibit interesting behaviour, but it is unclear whether these observed phenomena are reflected at the population level. Focusing on a…

Statistics Theory · Mathematics 2023-09-21 Henry W. J. Reeve , Timothy I. Cannings , Richard J. Samworth

The linear-in-means model is widely used to study peer influence in social networks. We consider estimation in the linear-in-means model when a randomized treatment is applied to nodes in a network. We show that even when peer effects are…

Methodology · Statistics 2025-11-06 Alex Hayes , Keith Levin

Pragmatic trials increasingly define outcomes using real-world data such as electronic health records, where assessments are collected during routine care rather than at fixed timepoints. Consequently, these uncontrolled assessments may be…

This paper studies the probability of error associated with the social machine learning framework, which involves an independent training phase followed by a cooperative decision-making phase over a graph. This framework addresses the…

Machine Learning · Computer Science 2024-07-10 Ping Hu , Virginia Bordignon , Mert Kayaalp , Ali H. Sayed

In treatment allocation problems the individuals to be treated often arrive sequentially. We study a problem in which the policy maker is not only interested in the expected cumulative welfare but is also concerned about the…

Machine Learning · Statistics 2018-08-24 Anders Bredahl Kock , Martin Thyrsgaard

We consider a decision maker who faces a binary treatment choice when their welfare is only partially identified from data. We contribute to the literature by anchoring our finite-sample analysis on mean square regret, a decision criterion…

Econometrics · Economics 2023-10-11 Toru Kitagawa , Sokbae Lee , Chen Qiu