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Many chemical and biological experiments involve multiple treatment factors and often it is convenient to fit a nonlinear model in these factors. This nonlinear model can be mechanistic, empirical or a hybrid of the two. Motivated by…

Computation · Statistics 2018-10-09 Yuanzhi Huang , Steven Gilmour , Kalliopi Mylona , Peter Goos

Matched-pair experimental designs aim to detect treatment effects by pairing participants and comparing within-pair outcome differences. In many situations, the overall effect size across the entire population is small. Then, the focus…

Machine Learning · Computer Science 2025-09-26 Weizhi Li , Gautam Dasarathy , Visar Berisha

We study the design and analysis of switchback experiments conducted on a single aggregate unit. The design problem is to partition the continuous time space into intervals and switch treatments between intervals, in order to minimize the…

Methodology · Statistics 2024-06-12 Ruoxuan Xiong , Alex Chin , Sean J. Taylor

We consider a class of optimal advertising problems under uncertainty for the introduction of a new product into the market, on the line of the seminal papers of Vidale and Wolfe, 1957, and Nerlove and Arrow, 1962. The main features of our…

Optimization and Control · Mathematics 2024-04-29 Fausto Gozzi , Federica Masiero , Mauro Rosestolato

Observational studies often benefit from an abundance of observational units. This can lead to studies that -- while challenged by issues of internal validity -- have inferences derived from sample sizes substantially larger than randomized…

Methodology · Statistics 2020-08-24 Rachael C. Aikens , Dylan Greaves , Michael Baiocchi

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

Deep learning fostered a leap ahead in automated skin lesion analysis in the last two years. Those models are expensive to train and difficult to parameterize. Objective: We investigate methodological issues for designing and evaluating…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Eduardo Valle , Michel Fornaciali , Afonso Menegola , Julia Tavares , Flávia Vasques Bittencourt , Lin Tzy Li , Sandra Avila

Every design choice will have different effects on different units. However traditional A/B tests are often underpowered to identify these heterogeneous effects. This is especially true when the set of unit-level attributes is…

Artificial Intelligence · Computer Science 2016-11-09 Alexander Peysakhovich , Akos Lada

In psychological research often paired comparisons are used in which either full or partial profiles of the alternatives described by a common set of two-level attributes are presented. For this situation the problem of finding optimal…

Methodology · Statistics 2019-08-20 Eric Nyarko

Accurate estimation of treatment effects is essential for decision-making across various scientific fields. This task, however, becomes challenging in areas like social sciences and online marketplaces, where treating one experimental unit…

Machine Learning · Computer Science 2025-02-04 Mohsen Bayati , Yuwei Luo , William Overman , Sadegh Shirani , Ruoxuan Xiong

We consider the problem of constructing optimal designs for population pharmacokinetics which use random effect models. It is common practice in the design of experiments in such studies to assume uncorrelated errors for each subject. In…

Applications · Statistics 2010-11-16 Holger Dette , Andrey Pepelyshev , Tim Holland-Letz

This paper considers the estimation of treatment effects in randomized experiments with complex experimental designs, including cases with interference between units. We develop a design-based estimation theory for arbitrary experimental…

Econometrics · Economics 2025-05-27 Haoge Chang

For paired comparison experiments involving competing options described by two-level attributes several different methods of constructing designs having block paired observations under the main effects model are presented. These designs are…

Methodology · Statistics 2019-10-16 Eric Nyarko

Bipartite experiments arise in various fields, in which the treatments are randomized over one set of units, while the outcomes are measured over another separate set of units. However, existing methods often rely on strong model…

Methodology · Statistics 2025-04-16 Sizhu Lu , Lei Shi , Yue Fang , Wenxin Zhang , Peng Ding

Causal effect estimation often succeeds cost-constrained sequential data collection. This work considers multivariate linear front-door models with arbitrary unobserved confounding on treatment and response. We optimize the experimental…

Methodology · Statistics 2026-03-24 Leopold Mareis , Mathias Drton

When an experimenter has the option of running an adaptive trial, is it admissible to ignore this option and run a non-adaptive trial instead? We provide a negative answer to this question in the best-arm identification problem, where the…

Machine Learning · Statistics 2025-06-06 Guido Imbens , Chao Qin , Stefan Wager

Optimal block designs for additive models achieve their efficiency by dividing experimental units among relatively homogenous blocks and allocating treatments equally to blocks. Responses in many modern experiments, however, are drawn from…

Methodology · Statistics 2016-01-05 Stephen Bush , Katya Ruggiero

This paper focuses on the problem of modeling and estimating interaction effects between covariates and a continuous treatment variable on an outcome, using a single-index regression approach. The primary motivation is to estimate an…

Methodology · Statistics 2021-02-02 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

An important objective in the development of targeted therapies is to identify the populations where the treatment under consideration has positive benefit risk balance. We consider pivotal clinical trials, where the efficacy of a treatment…

Treatment effects can be estimated from observational data as the difference in potential outcomes. In this paper, we address the challenge of estimating the potential outcome when treatment-dose levels can vary continuously over time.…

Machine Learning · Statistics 2017-11-07 Hossein Soleimani , Adarsh Subbaswamy , Suchi Saria
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