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We develop methodology for causal inference in observational studies when using propensity score subclassification on data constructed with probabilistic record linkage techniques. We focus on scenarios where covariates and binary treatment…

Methodology · Statistics 2018-04-03 Joan Heck Wortman , Jerome P. Reiter

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

To estimate casual treatment effects, we propose a new matching approach based on the reduced covariates obtained from sufficient dimension reduction. Compared to the original covariates and the propensity score, which are commonly used for…

Methodology · Statistics 2017-02-03 Wei Luo , Yeying Zhu

Unobserved confounding is common in many applications, making causal inference from observational data challenging. As a remedy, causal sensitivity analysis is an important tool to draw causal conclusions under unobserved confounding with…

Machine Learning · Computer Science 2024-04-10 Dennis Frauen , Fergus Imrie , Alicia Curth , Valentyn Melnychuk , Stefan Feuerriegel , Mihaela van der Schaar

When using multiple imputation (MI) for missing data, maintaining compatibility between the imputation model and substantive analysis is important for avoiding bias. For example, some causal inference methods incorporate an outcome model…

In causal inference, sensitivity analysis is important to assess the robustness of study conclusions to key assumptions. We perform sensitivity analysis of the assumption that missing outcomes are missing completely at random. We follow a…

Statistics Theory · Mathematics 2023-05-12 Bart Eggen , Stéphanie L. van der Pas , Aad W. van der Vaart

ML-based predictions are used to inform consequential decisions about individuals. How should we use predictions (e.g., risk of heart attack) to inform downstream binary classification decisions (e.g., undergoing a medical procedure)? When…

Machine Learning · Computer Science 2022-03-21 Guy N. Rothblum , Gal Yona

Inverse weighting with an estimated propensity score is widely used by estimation methods in causal inference to adjust for confounding bias. However, directly inverting propensity score estimates can lead to instability, bias, and…

Methodology · Statistics 2025-04-11 Lars van der Laan , Ziming Lin , Marco Carone , Alex Luedtke

In a clustered observational study, treatment is assigned to groups and all units within the group are exposed to the treatment. Here, we use a clustered observational study (COS) design to estimate the effectiveness of Magnet Nursing…

Methodology · Statistics 2025-05-01 Melody Huang , Eli Ben-Michael , Matthew McHugh , Luke Keele

An analytic formula is proposed to characterize the variance propagation from correlated input variables to the model response, by using multi-variate Taylor series. With the formula, partial variance contributions to the model response are…

Physics and Society · Physics 2017-08-23 Yueying Zhu , Qiuping A Wang , Wei Li , Xu Cai

Negative binomial regression is commonly employed to analyze overdispersed count data. With small to moderate sample sizes, the maximum likelihood estimator of the dispersion parameter may be subject to a significant bias, that in turn…

Methodology · Statistics 2020-11-06 Euloge Clovis Kenne Pagui , Alessandra Salvan , Nicola Sartori

Two problems that arise in making causal inferences for non-mortality outcomes such as bronchopulmonary dysplasia (BPD) are unmeasured confounding and censoring by death, i.e., the outcome is only observed when subjects survive. In…

Methodology · Statistics 2018-02-20 Kwonsang Lee , Scott A. Lorch , Dylan S. Small

In the last decade, machine learning techniques have gained popularity for estimating causal effects. One machine learning approach that can be used for estimating an average treatment effect is Double/debiased machine learning (DML)…

Econometrics · Economics 2025-01-17 Daniele Ballinari , Nora Bearth

While the expected calibration error (ECE), which employs binning, is widely adopted to evaluate the calibration performance of machine learning models, theoretical understanding of its estimation bias is limited. In this paper, we present…

Machine Learning · Computer Science 2025-05-27 Futoshi Futami , Masahiro Fujisawa

In clinical settings, we often face the challenge of building prediction models based on small observational data sets. For example, such a data set might be from a medical center in a multi-center study. Differences between centers might…

Generalizing treatment effects from a randomized trial to a target population requires the assumption that potential outcome distributions are invariant across populations after conditioning on observed covariates. This assumption fails…

Methodology · Statistics 2026-04-16 Amir Asiaee , Samhita Pal , Cole Beck , Jared D. Huling

Studies investigating the neural bases of cognitive phenomena such as perception, attention and decision-making increasingly employ multialternative task designs. It is essential in such designs to distinguish the neural correlates of…

Neurons and Cognition · Quantitative Biology 2013-10-17 Devarajan Sridharan , Nicholas A. Steinmetz , Tirin Moore , Eric I. Knudsen

We investigate the problem of multiclass classification with rejection, where a classifier can choose not to make a prediction to avoid critical misclassification. First, we consider an approach based on simultaneous training of a…

Machine Learning · Statistics 2019-10-31 Chenri Ni , Nontawat Charoenphakdee , Junya Honda , Masashi Sugiyama

In classification problems, sampling bias between training data and testing data is critical to the ranking performance of classification scores. Such bias can be both unintentionally introduced by data collection and intentionally…

Methodology · Statistics 2017-11-02 Chandler Zuo

In estimating the average treatment effect in observational studies, the influence of confounders should be appropriately addressed. To this end, the propensity score is widely used. If the propensity scores are known for all the subjects,…

Methodology · Statistics 2023-12-08 Chengyao Tang , Yi Zhou , Ao Huang , Satoshi Hattori
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