Copas‐Heckman‐Type Sensitivity Analysis for Publication Bias in Rare‐Event Meta‐Analysis Under Generalized Linear Mixed Models

Fuente: Wiley Open Access
Salvato in:
Dettagli Bibliografici
Autori principali: Yi Zhou, Taojun Hu, Yuji Sakamoto, Ao Huang, Xiao‐Hua Zhou, Satoshi Hattori
Natura: Artículo Open Access
Pubblicazione: Wiley 2026
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1867020441225265152
author Yi Zhou
Taojun Hu
Yuji Sakamoto
Ao Huang
Xiao‐Hua Zhou
Satoshi Hattori
author_facet Yi Zhou
Taojun Hu
Yuji Sakamoto
Ao Huang
Xiao‐Hua Zhou
Satoshi Hattori
Yi Zhou
Taojun Hu
Yuji Sakamoto
Ao Huang
Xiao‐Hua Zhou
Satoshi Hattori
collection Wiley Open Access
contents Copas‐Heckman‐Type Sensitivity Analysis for Publication Bias in Rare‐Event Meta‐Analysis Under Generalized Linear Mixed Models Yi Zhou Taojun Hu Yuji Sakamoto Ao Huang Xiao‐Hua Zhou Satoshi Hattori Statistics in Medicine ABSTRACT In systematic reviews and meta‐analyses, publication bias (PB) is one of the serious concerns and mainly induced by selective publication of academic literatures. Although many methods have been proposed to address PB, almost all of them are based on the normal‐normal (NN) random‐effects model, assuming that data are normally distributed at both the within‐study and between‐study levels. For rare‐event meta‐analysis where data contain rare occurrences of events, the standard NN random‐effects model may perform poorly. Instead, some generalized linear mixed models (GLMMs) which employ the exact distribution for the number of events at the within‐study level increase the estimation accuracy and have been widely used in practice. However, limited methods can be applied to address PB in the GLMMs. To address this limitation, we propose a framework of sensitivity analysis for evaluating the impact of PB in the contrast‐based GLMMs. The proposed framework is developed based on the famous Copas‐Heckman‐type sensitivity analysis methods by relating study‐specific true effect sizes with the latent Gaussian variable on the study sample sizes for adjusting PB. The proposed methods completely avoid the need for continuity corrections and can be easily implemented using standard software with low computational cost. Simulation studies are conducted to assess the performance of the proposed methods in adjusting PB and compare the results with related existing methods. Several real‐world examples are also analyzed to show the broad applicability of our proposal in evaluating the potential impact of PB in meta‐analysis of odds ratios and proportions with rare‐event outcomes. 10.1002/sim.70595 http://creativecommons.org/licenses/by/4.0/
doi_str_mv 10.1002/sim.70595
format Artículo Open Access
id wiley_oa_10_1002_sim_70595
institution Wiley Open Access
license_str_mv http://creativecommons.org/licenses/by/4.0/
publishDate 2026
publisher Wiley
record_format wiley_oa
spellingShingle Copas‐Heckman‐Type Sensitivity Analysis for Publication Bias in Rare‐Event Meta‐Analysis Under Generalized Linear Mixed Models
Yi Zhou
Taojun Hu
Yuji Sakamoto
Ao Huang
Xiao‐Hua Zhou
Satoshi Hattori
Statistics in Medicine
Copas‐Heckman‐Type Sensitivity Analysis for Publication Bias in Rare‐Event Meta‐Analysis Under Generalized Linear Mixed Models Yi Zhou Taojun Hu Yuji Sakamoto Ao Huang Xiao‐Hua Zhou Satoshi Hattori Statistics in Medicine ABSTRACT In systematic reviews and meta‐analyses, publication bias (PB) is one of the serious concerns and mainly induced by selective publication of academic literatures. Although many methods have been proposed to address PB, almost all of them are based on the normal‐normal (NN) random‐effects model, assuming that data are normally distributed at both the within‐study and between‐study levels. For rare‐event meta‐analysis where data contain rare occurrences of events, the standard NN random‐effects model may perform poorly. Instead, some generalized linear mixed models (GLMMs) which employ the exact distribution for the number of events at the within‐study level increase the estimation accuracy and have been widely used in practice. However, limited methods can be applied to address PB in the GLMMs. To address this limitation, we propose a framework of sensitivity analysis for evaluating the impact of PB in the contrast‐based GLMMs. The proposed framework is developed based on the famous Copas‐Heckman‐type sensitivity analysis methods by relating study‐specific true effect sizes with the latent Gaussian variable on the study sample sizes for adjusting PB. The proposed methods completely avoid the need for continuity corrections and can be easily implemented using standard software with low computational cost. Simulation studies are conducted to assess the performance of the proposed methods in adjusting PB and compare the results with related existing methods. Several real‐world examples are also analyzed to show the broad applicability of our proposal in evaluating the potential impact of PB in meta‐analysis of odds ratios and proportions with rare‐event outcomes. 10.1002/sim.70595 http://creativecommons.org/licenses/by/4.0/
title Copas‐Heckman‐Type Sensitivity Analysis for Publication Bias in Rare‐Event Meta‐Analysis Under Generalized Linear Mixed Models
topic Statistics in Medicine
url https://onlinelibrary.wiley.com/doi/10.1002/sim.70595