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This article focuses on measurement error in covariates in regression analyses in which the aim is to estimate the association between one or more covariates and an outcome, adjusting for confounding. Error in covariate measurements, if…

Methodology · Statistics 2019-10-16 Ruth H. Keogh , Jonathan W. Bartlett

This article reviews bias-correction models for measurement error of exposure variables in the field of nutritional epidemiology. Measurement error usually attenuates estimated slope towards zero. Due to the influence of measurement error,…

Methodology · Statistics 2020-07-14 Huimin Peng

In recent years, there is a growing body of causal inference literature focusing on covariate balancing methods. These methods eliminate observed confounding by equalizing covariate moments between the treated and control groups. The…

Methodology · Statistics 2024-06-14 Xialing Wen , Ying Yan

Background: Measurement errors in terms of quantification or classification frequently occur in epidemiologic data and can strongly impact inference. Measurement errors may occur when ascertaining, recording or extracting data. Although the…

Methodology · Statistics 2021-10-22 Walter K Kremers

Measurement error can often be harmful when estimating causal effects. Two scenarios in which this is the case are in the estimation of (a) the average treatment effect when confounders are measured with error and (b) the natural indirect…

Methodology · Statistics 2024-06-04 Caleb H. Miles , Linda Valeri , Brent Coull

Instrumental variable methods can identify causal effects even when the treatment and outcome are confounded. We study the problem of imperfect measurements of the binary instrumental variable, treatment or outcome. We first consider…

Methodology · Statistics 2019-06-06 Zhichao Jiang , Peng Ding

Ideally, a meta-analysis will summarize data from several unbiased studies. Here we consider the less than ideal situation in which contributing studies may be compromised by measurement error. Measurement error affects every study design,…

In randomised trials, continuous endpoints are often measured with some degree of error. This study explores the impact of ignoring measurement error, and proposes methods to improve statistical inference in the presence of measurement…

Methodology · Statistics 2019-08-30 Linda Nab , Rolf H. H. Groenwold , Paco M. J. Welsing , Maarten van Smeden

Matching is a widely used causal inference design that aims to approximate a randomized experiment using observational data by forming matched sets of treated and control units based on similarities in their covariates. Ideally, treated…

Methodology · Statistics 2026-04-06 Jianan Zhu , Jeffrey Zhang , Zijian Guo , Siyu Heng

This paper addresses the problem of measurement errors in causal inference and highlights several algebraic and graphical methods for eliminating systematic bias induced by such errors. In particulars, the paper discusses the control of…

Methodology · Statistics 2012-03-19 Judea Pearl

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…

In nutritional and environmental epidemiology, exposures are impractical to measure accurately, while practical measures for these exposures are often subject to substantial measurement error. Regression calibration is among the most used…

Methodology · Statistics 2026-01-27 Zexiang Li , Donna Spiegelman , Molin Wang , Zuoheng Wang , Xin Zhou

Unmeasured confounding bias threatens the validity of observational studies. While sensitivity analyses and study designs have been proposed to address this issue, they often overlook the growing availability of auxiliary data. Using…

Methodology · Statistics 2024-10-22 Jie Kate Hu , Dafne Zorzetto , Francesca Dominici

Measurement error arises through a variety of mechanisms. A rich literature exists on the bias introduced by covariate measurement error and on methods of analysis to address this bias. By comparison, less attention has been given to errors…

Methodology · Statistics 2018-11-27 Pamela Shaw , Jiwei He , Bryan Shepherd

In real-world studies, the collected confounders may suffer from measurement error. Although mismeasurement of confounders is typically unintentional -- originating from sources such as human oversight or imprecise machinery -- deliberate…

Methodology · Statistics 2024-09-20 Jeffrey Zhang , Junu Lee

Background: Variables in epidemiological observational studies are commonly subject to measurement error and misclassification, but the impact of such errors is frequently not appreciated or ignored. As part of the STRengthening Analytical…

While observational data are routinely used to estimate causal effects of biomedical treatments, doing so requires special methods to adjust for observed confounding. These methods invariably rely on untestable statistical and causal…

Methodology · Statistics 2026-03-02 Arman Oganisian

Exposure measurement error is a ubiquitous but often overlooked challenge in causal inference with observational data. Existing methods accounting for exposure measurement error largely rely on restrictive parametric assumptions, while…

Positivity violations, which occur when some subgroups either always or never receive a treatment of interest, pose significant challenges for causal effect estimation with observational data. Recent balancing weight methods have proved to…

Methodology · Statistics 2025-12-17 Martha Barnard , Jared D. Huling , Julian Wolfson

Public health researchers often estimate health effects of exposures (e.g., pollution, diet, lifestyle) that cannot be directly measured for study subjects. A common strategy in environmental epidemiology is to use a first-stage (exposure)…

Methodology · Statistics 2014-06-03 Adam A. Szpiro , Christopher J. Paciorek
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