An easy approach to the Robins-Breslow-Greenland variance estimator

The Mantel-Haenszel estimate for the odds ratio (and its logarithm) in stratified case control studies lacked a generally acceptable variance estimate for many years. The Robins-Breslow-Greenland estimate has met this need, but standard textbooks still do not provide an explanation of how it is deri...

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Published in:Epidemiologic Perspectives & Innovations
Main Author: Silcocks, Paul
Format: Text
Language:English
Published: BioMed Central 2005
Subjects:
Online Access:http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1270683
http://www.ncbi.nlm.nih.gov/pubmed/16185354
https://doi.org/10.1186/1742-5573-2-9
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spelling ftpubmed:oai:pubmedcentral.nih.gov:1270683 2023-05-15T16:25:01+02:00 An easy approach to the Robins-Breslow-Greenland variance estimator Silcocks, Paul 2005-09-26 http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1270683 http://www.ncbi.nlm.nih.gov/pubmed/16185354 https://doi.org/10.1186/1742-5573-2-9 en eng BioMed Central http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1270683 http://www.ncbi.nlm.nih.gov/pubmed/16185354 http://dx.doi.org/10.1186/1742-5573-2-9 Copyright © 2005 Silcocks; licensee BioMed Central Ltd. http://creativecommons.org/licenses/by/2.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( (http://creativecommons.org/licenses/by/2.0) ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. CC-BY Methodology Text 2005 ftpubmed https://doi.org/10.1186/1742-5573-2-9 2013-08-30T16:31:54Z The Mantel-Haenszel estimate for the odds ratio (and its logarithm) in stratified case control studies lacked a generally acceptable variance estimate for many years. The Robins-Breslow-Greenland estimate has met this need, but standard textbooks still do not provide an explanation of how it is derived. This article provides an accessible derivation which demonstrates the link between the Robins-Breslow-Greenland estimate and the familiar Woolf estimate for the variance of the log odds ratio, and which could easily be included in Masters level courses in epidemiology. The relationships to the unconditional and conditional maximum likelihood estimates are also reviewed. Text Greenland PubMed Central (PMC) Greenland Epidemiologic Perspectives & Innovations 2 1 9
institution Open Polar
collection PubMed Central (PMC)
op_collection_id ftpubmed
language English
topic Methodology
spellingShingle Methodology
Silcocks, Paul
An easy approach to the Robins-Breslow-Greenland variance estimator
topic_facet Methodology
description The Mantel-Haenszel estimate for the odds ratio (and its logarithm) in stratified case control studies lacked a generally acceptable variance estimate for many years. The Robins-Breslow-Greenland estimate has met this need, but standard textbooks still do not provide an explanation of how it is derived. This article provides an accessible derivation which demonstrates the link between the Robins-Breslow-Greenland estimate and the familiar Woolf estimate for the variance of the log odds ratio, and which could easily be included in Masters level courses in epidemiology. The relationships to the unconditional and conditional maximum likelihood estimates are also reviewed.
format Text
author Silcocks, Paul
author_facet Silcocks, Paul
author_sort Silcocks, Paul
title An easy approach to the Robins-Breslow-Greenland variance estimator
title_short An easy approach to the Robins-Breslow-Greenland variance estimator
title_full An easy approach to the Robins-Breslow-Greenland variance estimator
title_fullStr An easy approach to the Robins-Breslow-Greenland variance estimator
title_full_unstemmed An easy approach to the Robins-Breslow-Greenland variance estimator
title_sort easy approach to the robins-breslow-greenland variance estimator
publisher BioMed Central
publishDate 2005
url http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1270683
http://www.ncbi.nlm.nih.gov/pubmed/16185354
https://doi.org/10.1186/1742-5573-2-9
geographic Greenland
geographic_facet Greenland
genre Greenland
genre_facet Greenland
op_relation http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1270683
http://www.ncbi.nlm.nih.gov/pubmed/16185354
http://dx.doi.org/10.1186/1742-5573-2-9
op_rights Copyright © 2005 Silcocks; licensee BioMed Central Ltd.
http://creativecommons.org/licenses/by/2.0
This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( (http://creativecommons.org/licenses/by/2.0) ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
op_rightsnorm CC-BY
op_doi https://doi.org/10.1186/1742-5573-2-9
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