Zero-Truncated Modelling in a Meta-Analysis on Suicide Data after Bariatric Surgery

Fuente: arXiv
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Auteurs principaux: Dennett, Layna Charlie, Overstall, Antony, Boehning, Dankmar
Format: Preprint
Publié: 2023
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author Dennett, Layna Charlie
Overstall, Antony
Boehning, Dankmar
author_facet Dennett, Layna Charlie
Overstall, Antony
Boehning, Dankmar
contents Meta-analysis is a well-established method for integrating results from several independent studies to estimate a common quantity of interest. However, meta-analysis is prone to selection bias, notably when particular studies are systematically excluded. This can lead to bias in estimating the quantity of interest. Motivated by a meta-analysis to estimate the rate of completed-suicide after bariatric surgery, where studies which reported no suicides were excluded, a novel zero-truncated count modelling approach was developed. This approach addresses heterogeneity, both observed and unobserved, through covariate and overdispersion modelling, respectively. Additionally, through the Horvitz-Thompson estimator, an approach is developed to estimate the number of excluded studies, a quantity of potential interest for researchers. Uncertainty quantification for both estimation of suicide rates and number of excluded studies is achieved through a parametric bootstrapping approach.\end{abstract}
format Preprint
id arxiv_https___arxiv_org_abs_2305_01277
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Zero-Truncated Modelling in a Meta-Analysis on Suicide Data after Bariatric Surgery
Dennett, Layna Charlie
Overstall, Antony
Boehning, Dankmar
Applications
Methodology
62J12 (primary) 62F40, 62P10 (secondary)
Meta-analysis is a well-established method for integrating results from several independent studies to estimate a common quantity of interest. However, meta-analysis is prone to selection bias, notably when particular studies are systematically excluded. This can lead to bias in estimating the quantity of interest. Motivated by a meta-analysis to estimate the rate of completed-suicide after bariatric surgery, where studies which reported no suicides were excluded, a novel zero-truncated count modelling approach was developed. This approach addresses heterogeneity, both observed and unobserved, through covariate and overdispersion modelling, respectively. Additionally, through the Horvitz-Thompson estimator, an approach is developed to estimate the number of excluded studies, a quantity of potential interest for researchers. Uncertainty quantification for both estimation of suicide rates and number of excluded studies is achieved through a parametric bootstrapping approach.\end{abstract}
title Zero-Truncated Modelling in a Meta-Analysis on Suicide Data after Bariatric Surgery
topic Applications
Methodology
62J12 (primary) 62F40, 62P10 (secondary)
url https://arxiv.org/abs/2305.01277