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In meta-analysis, the random-effects models are standard tools to address between-study heterogeneity in evidence synthesis analyses. For the random-effects distribution models, the normal distribution model has been adopted in most…

Applications · Statistics 2021-07-28 Hisashi Noma , Kengo Nagashima , Shogo Kato , Satoshi Teramukai , Toshi A. Furukawa

The estimation of heterogeneous treatment effects in the potential outcome setting is biased when there exists model misspecification or unobserved confounding. As these biases are unobservable, what model to use when remains a critical…

Methodology · Statistics 2024-05-09 Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn , Edoardo M. Airoldi

Heterogeneous datasets emerge in various machine learning and optimization applications that feature different input sources, types or formats. Most models or methods do not natively tackle heterogeneity. Hence, such datasets are often…

Machine Learning · Statistics 2025-08-25 Edward Hallé-Hannan , Charles Audet , Youssef Diouane , Sébastien Le Digabel , Paul Saves

Explicit modelling of between-study heterogeneity is essential in network meta-analysis (NMA) to ensure valid inference and avoid overstating precision. While the additive random-effects (RE) model is the conventional approach, the…

Methodology · Statistics 2026-01-21 Xinlei Xu , Caitlin H Daly , Audrey Béliveau

The partial (ceteris paribus) effects of interest in nonlinear and interactive linear models are heterogeneous as they can vary dramatically with the underlying observed or unobserved covariates. Despite the apparent importance of…

Methodology · Statistics 2018-05-29 Victor Chernozhukov , Ivan Fernandez-Val , Ye Luo

Over the past few decades, statistical methods for causal inference have made impressive strides, enabling progress across a range of scientific fields. However, much of this methodological development has been confined to individual…

Methodology · Statistics 2025-09-30 Wenqi Shi , José R. Zubizarreta

Individualized treatment decisions can improve health outcomes, but using data to make these decisions in a reliable, precise, and generalizable way is challenging with a single dataset. Leveraging multiple randomized controlled trials…

Small study effects occur when smaller studies show different, often larger, treatment effects than large ones, which may threaten the validity of systematic reviews and meta-analyses. The most well-known reasons for small study effects…

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

Statistics Theory · Mathematics 2019-12-24 Natsuki Kariya , Sumio Watanabe

When considering the effect a treatment will cause in a population of interest, we often look to evidence from randomized controlled trials. In settings where multiple trials on a treatment are available, we may wish to synthesize the…

Methodology · Statistics 2023-09-08 Nicole Schnitzler , Eloise Kaizar

This paper introduces the correlation-of-divergency coefficient, c-delta, a custom statistical measure designed to quantify the similarity of internal divergence patterns between two groups of values. Unlike conventional correlation…

Methodology · Statistics 2026-03-10 Johan F. Hoorn

This paper examines the identification and estimation of heterogeneous treatment effects in event studies, emphasizing the importance of both lagged dependent variables and treatment effect heterogeneity. We show that omitting lagged…

Econometrics · Economics 2025-09-18 Irene Botosaru , Laura Liu

A key challenge in building effective regression models for large and diverse populations is accounting for patient heterogeneity. An example of such heterogeneity is in health system risk modeling efforts where different combinations of…

Methodology · Statistics 2022-12-26 Jared D. Huling , Menggang Yu

Applied researchers often claim that the risk difference is more heterogeneous than the relative risk and the odds ratio. Some also argue that there are theoretical grounds for why this claim is true. In this note, we point out that these…

Applications · Statistics 2022-10-12 Linbo Wang

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

Meta-analysis is a systematic approach for understanding a phenomenon by analyzing the results of many previously published experimental studies. It is central to deriving conclusions about the summary effect of treatments and interventions…

Computers and Society · Computer Science 2021-04-13 Lu Cheng , Dmitriy A. Katz-Rogozhnikov , Kush R. Varshney , Ioana Baldini

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

Effect modification means the magnitude or stability of a treatment effect varies as a function of an observed covariate. Generally, larger and more stable treatment effects are insensitive to larger biases from unmeasured covariates, so a…

Methodology · Statistics 2018-03-12 Kwonsang Lee , Dylan S. Small , Paul R. Rosenbaum

Integrating heterogeneous datasets across different measurement platforms is a fundamental challenge in many scientific applications. A common example arises in deconvolution problems, such as cell type deconvolution, where one aims to…

Methodology · Statistics 2025-09-30 Dongyue Xie , Lin Gui , Jingshu Wang

Subgroup-specific meta-analysis synthesizes treatment effects for patient subgroups across randomized trials. Methods include joint or separate modeling of subgroup effects and treatment-by-subgroup interactions, but inconsistencies arise…

Methodology · Statistics 2025-08-22 Renato Panaro , Christian Röver , Tim Friede