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Design-based causal inference, also known as randomization-based or finite-population causal inference, is one of the most widely used causal inference frameworks, largely due to the merit that its validity can be guaranteed by study design…

统计方法学 · 统计学 2025-05-27 Siyu Heng , Jiawei Zhang , Yang Feng

In this paper we study saturated fractions of factorial designs under the perspective of Algebraic Statistics. We define a criterion to check whether a fraction is saturated or not with respect to a given model. The proposed criterion is…

统计理论 · 数学 2013-05-01 Roberto Fontana , Fabio Rapallo , Maria-Piera Rogantin

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…

统计理论 · 数学 2017-08-02 Nathan Kallus

The participants in randomized trials and other studies used for causal inference are often not representative of the populations seen by clinical decision-makers. To account for differences between populations, researchers may consider…

统计方法学 · 统计学 2022-07-12 Anders Huitfeldt , Sonja A. Swanson , Mats Julius Stensrud , Etsuji Suzuki

Balancing covariates is critical for credible and efficient randomized experiments. Rerandomization addresses this by repeatedly generating treatment assignments until covariate balance meets a prespecified threshold. By shrinking this…

统计方法学 · 统计学 2026-02-10 Jiuyao Lu , Tianruo Zhang , Ke Zhu

A prevalent feature of high-dimensional data is the dependence among covariates, and model selection is known to be challenging when covariates are highly correlated. To perform model selection for the high-dimensional Cox proportional…

统计方法学 · 统计学 2022-10-04 Pierre Bayle , Jianqing Fan

We consider the problem of how to assign treatment in a randomized experiment, in which the correlation among the outcomes is informed by a network available pre-intervention. Working within the potential outcome causal framework, we…

统计方法学 · 统计学 2017-05-19 Guillaume W. Basse , Edoardo M. Airoldi

Restricting randomization in the design of experiments (e.g., using blocking/stratification, pair-wise matching, or rerandomization) can improve the treatment-control balance on important covariates and therefore improve the estimation of…

计量经济学 · 经济学 2020-11-02 Brian Quistorff , Gentry Johnson

Estimation of social influence in networks can be substantially biased in observational studies due to homophily and network correlation in exposure to exogenous events. Randomized experiments, in which the researcher intervenes in the…

社会与信息网络 · 计算机科学 2017-09-28 Sean J. Taylor , Dean Eckles

Rerandomization utilizes modern computing ability to improve covariate balance while adhering to the randomization principle originally advocated by RA Fisher. Affinely invariant rerandomization has the ``Equal Percent Variance Reducing''…

统计方法学 · 统计学 2025-04-03 Zhen Zhong , Donald B. Rubin

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.,…

统计方法学 · 统计学 2025-12-23 Jianan Zhu , Tianruo Zhang , Diana Silver , Ellicott Matthay , Omar El-Shahawy , Hyunseung Kang , Siyu Heng

Mahalanobis distance between treatment group and control group covariate means is often adopted as a balance criterion when implementing a rerandomization strategy. However, this criterion may not work well for high-dimensional cases…

统计方法学 · 统计学 2021-02-25 Hengtao Zhang , Guosheng Yin , Donald B. Rubin

Existing tests for factorial designs in the nonparametric case are based on hypotheses formulated in terms of distribution functions. Typical null hypotheses, however, are formulated in terms of some parameters or effect measures,…

统计方法学 · 统计学 2016-10-28 Edgar Brunner , Frank Konietschke , Markus Pauly , Madan L. Puri

Factor modeling is an essential tool for exploring intrinsic dependence structures among high-dimensional random variables. Much progress has been made for estimating the covariance matrix from a high-dimensional factor model. However, the…

统计理论 · 数学 2016-10-26 Quefeng Li , Guang Cheng , Jianqing Fan , Yuyan Wang

The design of experiments involves a compromise between covariate balance and robustness. This paper provides a formalization of this trade-off and describes an experimental design that allows experimenters to navigate it. The design is…

统计方法学 · 统计学 2023-11-16 Christopher Harshaw , Fredrik Sävje , Daniel Spielman , Peng Zhang

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…

统计方法学 · 统计学 2025-04-16 Sizhu Lu , Lei Shi , Yue Fang , Wenxin Zhang , Peng Ding

While much of the causal inference literature has focused on addressing internal validity biases, both internal and external validity are necessary for unbiased estimates in a target population of interest. However, few generalizability…

统计方法学 · 统计学 2023-04-07 Irina Degtiar , Tim Layton , Jacob Wallace , Sherri Rose

Factor analysis is a flexible technique for assessment of multivariate dependence and codependence. Besides being an exploratory tool used to reduce the dimensionality of multivariate data, it allows estimation of common factors that often…

统计方法学 · 统计学 2020-02-19 Kelly C. M. Gonçalves , Afonso C. B. Silva

Randomized saturation designs are two-stage experiments: they first randomly assign treatment probabilities over the clusters and then randomly assign the treatment to the units within the clusters. The existing literature on randomized…

统计方法学 · 统计学 2026-05-29 Sizhu Lu , Lei Shi , Peng Ding

Stratification and rerandomization are two well-known methods used in randomized experiments for balancing the baseline covariates. Renowned scholars in experimental design have recommended combining these two methods; however, limited…

统计方法学 · 统计学 2021-10-27 Xinhe Wang , Tingyu Wang , Hanzhong Liu