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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…

Econometrics · Economics 2020-11-02 Brian Quistorff , Gentry Johnson

If the same data is used for both clustering and for testing a null hypothesis that is formulated in terms of the estimated clusters, then the traditional hypothesis testing framework often fails to control the Type I error. Gao et al.…

Methodology · Statistics 2024-05-28 Youngjoo Yun , Yinqiu He

We study estimation of and inference for the average causal effect of treating every member of a population, as opposed to none, using an experiment that treats only some. Considering settings where spillovers can occur between any pair of…

Econometrics · Economics 2026-01-29 Stefan Faridani , Paul Niehaus

We consider experimentation in the presence of non-stationarity, inter-unit (spatial) interference, and carry-over effects (temporal interference), where we wish to estimate the global average treatment effect (GATE), the difference between…

Statistics Theory · Mathematics 2025-03-28 Su Jia , Nathan Kallus , Christina Lee Yu

This paper studies the design of cluster experiments to estimate the global treatment effect in the presence of network spillovers. We provide a framework to choose the clustering that minimizes the worst-case mean-squared error of the…

Econometrics · Economics 2025-01-29 Davide Viviano , Lihua Lei , Guido Imbens , Brian Karrer , Okke Schrijvers , Liang Shi

Machine learning systems increasingly depend on pipelines of multiple algorithms to provide high quality and well structured predictions. This paper argues interaction effects between clustering and prediction (e.g. classification,…

Machine Learning · Statistics 2019-01-01 Matt Barnes , Artur Dubrawski

In cluster-randomized trials (CRTs), entire clusters of individuals are randomized to treatment, and outcomes within a cluster are typically correlated. While frequentist approaches are standard practice for CRT analysis, Bayesian methods…

Methodology · Statistics 2025-11-27 Ruyi Liu , Joshua L. Warren , Yuki Ohnishi , Donna Spiegelman , Liangyuan Hu , Fan Li

We address a core problem in causal inference: estimating heterogeneous treatment effects using panel data with general treatment patterns. Many existing methods either do not utilize the potential underlying structure in panel data or have…

Machine Learning · Statistics 2024-06-11 Retsef Levi , Elisabeth Paulson , Georgia Perakis , Emily Zhang

In many health policy settings, adaptive interventions target a population of clusters (e.g., schools), with the ultimate intent of impacting outcomes at the level of individuals within the clusters. Health policy researchers can use…

We propose a matching method that recovers direct treatment effects from randomized experiments where units are connected in an observed network, and units that share edges can potentially influence each others' outcomes. Traditional…

In cluster randomized trials, the average treatment effect among individuals (i-ATE) can be different from the cluster average treatment effect (c-ATE) when informative cluster size is present, i.e., when treatment effects or participant…

Methodology · Statistics 2025-10-02 Bryan S. Blette , Zhe Chen , Brennan C. Kahan , Andrew Forbes , Michael O. Harhay , Fan Li

Clustering is a pivotal challenge in unsupervised machine learning and is often investigated through the lens of mixture models. The optimal error rate for recovering cluster labels in Gaussian and sub-Gaussian mixture models involves ad…

Statistics Theory · Mathematics 2024-07-18 Maximilien Dreveton , Alperen Gözeten , Matthias Grossglauser , Patrick Thiran

One-sided t-tests are commonly used in the neuroimaging field, but two-sided tests should be the default unless a researcher has a strong reason for using a one-sided test. Here we extend our previous work on cluster false positive rates,…

Applications · Statistics 2019-01-03 Anders Eklund , Hans Knutsson , Thomas E. Nichols

This paper presents a clustering approach that allows for rigorous statistical error control similar to a statistical test. We develop estimators for both the unknown number of clusters and the clusters themselves. The estimators depend on…

Statistics Theory · Mathematics 2017-07-13 Michael Vogt , Matthias Schmid

Spectral clustering has been widely used for community detection in network sciences. While its empirical successes are well-documented, a clear theoretical understanding, particularly for sparse networks where degrees are much smaller than…

Statistics Theory · Mathematics 2024-05-13 Anderson Ye Zhang

Heterogeneity in efficacy is sometimes observed across baskets in basket trials. In this study, we propose a model-free clustering framework that groups baskets based on transition probabilities derived from the trajectories of treatment…

Methodology · Statistics 2026-01-05 Masahiro Kojima , Keisuke Hanada , Atsuya Sato

Randomized trials are considered the gold standard for making informed decisions in medicine, yet they often lack generalizability to the patient populations in clinical practice. Observational studies, on the other hand, cover a broader…

Methodology · Statistics 2026-04-14 Piersilvio De Bartolomeis , Javier Abad , Konstantin Donhauser , Fanny Yang

Cluster randomized trials with measurements at baseline can improve power over post-test only designs by using difference in difference designs. However, subjects may be lost to follow-up between the baseline and follow-up periods. While…

Methodology · Statistics 2019-03-26 Jonathan Moyer , Ken Kleinman

Spectral clustering is one of the most popular clustering methods for finding clusters in a graph, which has found many applications in data mining. However, the input graph in those applications may have many missing edges due to error in…

Data Structures and Algorithms · Computer Science 2020-06-09 Pan Peng , Yuichi Yoshida

This review provides a systematic overview of methods that combine covariate-based clustering of observational units (patients) with outcome models for clinical studies. We distinguish between informed-cluster models, where the outcome…

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