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Valid estimation of treatment effects from observational data requires proper control of confounding. If the number of covariates is large relative to the number of observations, then controlling for all available covariates is infeasible.…

Methodology · Statistics 2018-01-11 Joseph Antonelli , Matthew Cefalu , Nathan Palmer , Denis Agniel

Data fusion describes the method of combining data from (at least) two initially independent data sources to allow for joint analysis of variables which are not jointly observed. The fundamental idea is to base inference on identifying…

Methodology · Statistics 2020-12-02 Florian Meinfelder , Jannik Schaller

The increased availability of massive data sets provides a unique opportunity to discover subtle patterns in their distributions, but also imposes overwhelming computational challenges. To fully utilize the information contained in big…

Statistics Theory · Mathematics 2018-04-12 Stanislav Volgushev , Shih-Kang Chao , Guang Cheng

Covariate balance is a conventional key diagnostic for methods used estimating causal effects from observational studies. Recently, there is an emerging interest in directly incorporating covariate balance in the estimation. We study a…

Methodology · Statistics 2017-02-14 Qingyuan Zhao , Daniel Percival

We investigate the parameter estimation of regression models with fixed group effects, when the group variable is missing while group related variables are available. This problem involves clustering to infer the missing group variable…

Methodology · Statistics 2020-12-29 Matthieu Marbac , Mohammed Sedki , Christophe Biernacki , Vincent Vandewalle

Unmeasured confounding presents a common challenge in observational studies, potentially making standard causal parameters unidentifiable without additional assumptions. Given the increasing availability of diverse data sources, exploiting…

Methodology · Statistics 2023-09-18 Shanshan Luo , Yechi Zhang , Wei Li

Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

Methodology · Statistics 2024-03-25 Lingxiao Wang

Advancements in data collection techniques and the heterogeneity of data resources can yield high percentages of missing observations on variables, such as block-wise missing data. Under missing-data scenarios, traditional methods such as…

Methodology · Statistics 2022-05-17 Wei Lan , Xuerong Chen , Tao Zou , Chih-Ling Tsai

Propensity score matching has been a long-standing tradition for handling confounding in causal inference, however requiring stringent model assumptions. In this article, we propose double score matching(DSM) for general causal estimands…

Methodology · Statistics 2020-07-07 Shu Yang , Yunshu Zhang

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

Methodology · Statistics 2023-08-01 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas , David Huber

Propensity score methods are widely used for estimating treatment effects from observational studies. A popular approach is to estimate propensity scores by maximum likelihood based on logistic regression, and then apply inverse probability…

Methodology · Statistics 2017-10-24 Zhiqiang Tan

Consider sensitivity analysis for estimating average treatment effects under unmeasured confounding, assumed to satisfy a marginal sensitivity model. At the population level, we provide new representations for the sharp population bounds…

Methodology · Statistics 2022-09-26 Zhiqiang Tan

Statistical causal inference from observational studies often requires adjustment for a possibly multi-dimensional variable, where dimension reduction is crucial. The propensity score, first introduced by Rosenbaum and Rubin, is a popular…

Statistics Theory · Mathematics 2020-04-28 Hui Guo , Philip Dawid , Giovanni Berzuini

Motivated by two case studies using primary care records from the Clinical Practice Research Datalink, we describe statistical methods that facilitate the analysis of tall data, with very large numbers of observations. Our focus is on…

Methodology · Statistics 2018-05-14 Kirsty Rhodes , Rebecca Turner , Rupert Payne , Ian White

We study linear regressions in a context where the outcome of interest and some of the covariates are observed in two different datasets that cannot be matched. Traditional approaches obtain point identification by relying, often…

Econometrics · Economics 2025-11-18 Xavier D'Haultfoeuille , Christophe Gaillac , Arnaud Maurel

The partitioning of data for estimation and calibration critically impacts the performance of propensity score based estimators like inverse probability weighting (IPW) and double/debiased machine learning (DML) frameworks. We extend recent…

Machine Learning · Statistics 2025-05-20 Sven Klaassen , Jan Rabenseifner , Jannis Kueck , Philipp Bach

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

Methodology · Statistics 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

Besides the classical motivation of fusing evidence from multiple sources, modern inferential procedures based on randomization, resampling, and data splitting often introduce analyst-generated multiplicity, where aggregating outputs across…

Methodology · Statistics 2026-05-29 Leonardo Cella

Data sharing barriers are paramount challenges arising from multicenter clinical trials where multiple data sources are stored in a distributed fashion at different local study sites. Merging such data sources into a common data storage for…

Methodology · Statistics 2022-04-05 Mengtong Hu , Xu Shi , Peter X. -K. Song

Integrating probability and non-probability samples is increasingly important, yet unknown sampling mechanisms in non-probability sources complicate identification and efficient estimation. We develop semiparametric theory for dual-frame…

Methodology · Statistics 2026-01-14 Kosuke Morikawa , Jae Kwang Kim