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Many scientific questions in biomedical, environmental, and psychological research involve understanding the effects of multiple factors on outcomes. While factorial experiments are ideal for this purpose, randomized controlled treatment…

Methodology · Statistics 2025-12-03 Ruoqi Yu , Peng Ding

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

This paper develops a finite population framework for analyzing causal effects in settings with imperfect compliance where multiple treatments affect the outcome of interest. Two prominent examples are factorial designs and panel…

Methodology · Statistics 2026-01-26 Pedro Picchetti

Factorial experiments are ubiquitous in the social and biomedical sciences, but when units fail to comply with each assigned factors, identification and estimation of the average treatment effects become impossible without strong…

Methodology · Statistics 2025-08-06 Matthew Blackwell , Nicole E. Pashley

Ever since the seminal work of R. A. Fisher and F. Yates, factorial designs have been an important experimental tool to simultaneously estimate the effects of multiple treatment factors. In factorial designs, the number of treatment…

Methodology · Statistics 2024-03-21 Lei Shi , Jingshen Wang , Peng Ding

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

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

Statistics Theory · Mathematics 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

We give an expository review of applications of computational algebraic statistics to design and analysis of fractional factorial experiments based on our recent works. For the purpose of design, the techniques of Gr\"obner bases and…

Methodology · Statistics 2012-04-09 Satoshi Aoki , Akimichi Takemura

Fractional factorial designs are widely used for designing screening experiments. Nonregular fractional factorial designs can have better properties than regular designs, but their construction is challenging. Current research on the…

Methodology · Statistics 2021-06-02 Lin Wang , Hongquan Xu

Matching is one of the most widely used causal inference frameworks in observational studies. However, all the existing matching-based causal inference methods are designed for either a single treatment with general treatment types (e.g.,…

We propose a method for conducting asymptotically valid inference for treatment effects in a multi-valued treatment framework where the number of units in the treatment arms can be small and do not grow with the sample size. We accomplish…

Econometrics · Economics 2021-05-25 Marina Dias , Demian Pouzo

In this paper we propose a new template for empirical studies intended to assess causal effects: the outcome-wide longitudinal design. The approach is an extension of what is often done to assess the causal effects of a treatment or…

Methodology · Statistics 2018-10-25 Tyler J. VanderWeele , Maya B. Mathur , Ying Chen

Bipartite experiments are a recent object of study in causal inference, whereby treatment is applied to one set of units and outcomes of interest are measured on a different set of units. These experiments are particularly useful in…

We study causal inference in randomized experiments (or quasi-experiments) following a $2\times 2$ factorial design. There are two treatments, denoted $A$ and $B$, and units are randomly assigned to one of four categories: treatment $A$…

Econometrics · Economics 2024-12-12 Mate Kormos , Robert P. Lieli , Martin Huber

A framework for causal inference from two-level factorial designs is proposed. The framework utilizes the concept of potential outcomes that lies at the center stage of causal inference and extends Neyman's repeated sampling approach for…

Methodology · Statistics 2012-11-19 Tirthankar Dasgupta , Natesh S. Pillai , Donald B. Rubin

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

Factorial designs are widely used due to their ability to accommodate multiple factors simultaneously. The factor-based regression with main effects and some interactions is the dominant strategy for downstream data analysis, delivering…

Methodology · Statistics 2021-12-09 Anqi Zhao , Peng Ding

Instrumental variable (IV) methods are used to estimate causal effects in settings with unobserved confounding, where we cannot directly experiment on the treatment variable. Instruments are variables which only affect the outcome…

Methodology · Statistics 2023-05-26 Elisabeth Ailer , Jason Hartford , Niki Kilbertus

The problem of missingness in observational data is ubiquitous. When the confounders are missing at random, multiple imputation is commonly used; however, the method requires congeniality conditions for valid inferences, which may not be…

Methodology · Statistics 2020-07-10 Nathan Corder , Shu Yang
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