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The standardized mean difference (SMD) is a widely used measure of effect size, particularly common in psychology, clinical trials, and meta-analysis involving continuous outcomes. Traditionally, under the equal variance assumption, the SMD…

Methodology · Statistics 2025-06-05 Jiandong Shi , Xiaochen Zhang , Lu Lin , Hiu Yee Kwan , Tiejun Tong

Meta-analyses are commonly used to provide solid evidence across numerous studies. Traditional moment methods, such as the DerSimonian-Laird method, remain popular in spite of the availability of more accurate alternatives. While moment…

Methodology · Statistics 2024-12-06 Keisuke Hanada , Tomoyuki Sugimoto

Case-mix heterogeneity across studies complicates meta-analyses. As a result of this, treatments that are equally effective on patient subgroups may appear to have different effectiveness on patient populations with different case mix. It…

Applications · Statistics 2021-08-25 Tat-Thang Vo , Raphael Porcher , Anna Chaimani , Stijn Vansteelandt

Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

Methodology · Statistics 2026-02-12 Hilde Vinje , Lars Erik Gangsei

Mediation analysis extending beyond single mediators has gained significant attention in recent years. However, related methods often assume the absence of unmeasured mediator-outcome confounding. To address this, we develop a mediation…

Methodology · Statistics 2026-03-31 Kang Shuai , Lan Liu , Yangbo He , Wei Li

An ever-increasing deluge of big data is becoming available to national statistical offices globally, but it is well documented that statistics produced by big data alone often suffer from selection bias and are not usually representative…

Methodology · Statistics 2023-06-29 Ryan Covey

Matched case-control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of…

Methodology · Statistics 2026-02-24 Shanshan Liu , Guoqing Diao

Combining several independent measurements of the same physical quantity is one of the most important tasks in metrology. Small samples, biased input estimates, not always adequate reported uncertainties, and unknown error distribution make…

Data Analysis, Statistics and Probability · Physics 2026-04-22 Zinovy Malkin

With continuous outcomes, the average causal effect is typically defined using a contrast of expected potential outcomes. However, in the presence of skewed outcome data, the expectation may no longer be meaningful. In practice the typical…

Methodology · Statistics 2023-02-06 Daisy A. Shepherd , Benjamin R. Baer , Margarita Moreno-Betancur

Combining p-values from independent statistical tests is a popular approach to meta-analysis, particularly when the data underlying the tests are either no longer available or are difficult to combine. A diverse range of p-value combination…

Methodology · Statistics 2017-12-15 Nicholas Heard , Patrick Rubin-Delanchy

Extrapolation from a source to a target, e.g., from adults to children, is a promising approach to utilizing external information when data are sparse. In the context of meta-analysis, one is commonly faced with a small number of studies,…

Methodology · Statistics 2019-01-21 Christian Röver , Simon Wandel , Tim Friede

We consider a three-level meta-analysis of standardized mean differences. The standard method of estimation uses inverse-variance weights and REML/PL estimation of variance components for the random effects. We introduce new moment-based…

Methodology · Statistics 2024-11-05 Elena Kulinskaya , David C. Hoaglin

In this paper we present a technique to couple non-traditional data with statistics based on survey data, in order to partially correct for the bias produced by non-random sample selections. All major social media platforms represent huge…

Methodology · Statistics 2022-12-21 Valerio Astuti

Integrated IPD-AD analysis, which combines individual participant data (IPD) with aggregate data (AD), is increasingly recognized as an effective strategy for generating more reliable and generalizable inferences from heterogeneous studies.…

Methodology · Statistics 2026-03-03 Ming-Yueh Huang , Jing Qin , Chiung-Yu Huang

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

Methodology · Statistics 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

Estimates of uncertainty or variance in experimental means are central to physics. This is especially the case for `world averages' of fundamental physical parameters in particle physics, which aggregate results from a number of experiments…

High Energy Physics - Experiment · Physics 2023-10-13 Fintan Costello , Paul Watts

Comparisons of different treatments or production processes are the goals of a significant fraction of applied research. Unsurprisingly, two-sample problems play a main role in Statistics through natural questions such as `Is the the new…

Methodology · Statistics 2017-09-05 P. C. Álvarez-Esteban , E. del Barrio , J. A. Cuesta-Albertos , C. Matrán

In numerous regular statistical models, median bias reduction (Kenne Pagui et al., 2017) has proven to be a noteworthy improvement over maximum likelihood, alternative to mean bias reduction. The estimator is obtained as solution to a…

Methodology · Statistics 2020-12-01 Euloge Clovis Kenne Pagui , Alessandra Salvan , Nicola Sartori

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

Methods for random-effects meta-analysis require an estimate of the between-study variance, $\tau^2$. The performance of estimators of $\tau^2$ (measured by bias and coverage) affects their usefulness in assessing heterogeneity of…

Methodology · Statistics 2019-03-05 Ilyas Bakbergenuly , David C. Hoaglin , Elena Kulinskaya