Making apples from oranges: Comparing noncollapsible effect estimators and their standard errors after adjustment for different covariate sets

Daniel, Rhian ORCID: https://orcid.org/0000-0001-5649-9320, Zhang, Jingjing ORCID: https://orcid.org/0000-0002-8970-7568 and Farewell, Daniel ORCID: https://orcid.org/0000-0002-8871-1653 2021. Making apples from oranges: Comparing noncollapsible effect estimators and their standard errors after adjustment for different covariate sets. Biometrical Journal 63 (3) , pp. 528-557. 10.1002/bimj.201900297

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Abstract

We revisit the well‐known but often misunderstood issue of (non)collapsibility of effect measures in regression models for binary and time‐to‐event outcomes. We describe an existing simple but largely ignored procedure for marginalizing estimates of conditional odds ratios and propose a similar procedure for marginalizing estimates of conditional hazard ratios (allowing for right censoring), demonstrating its performance in simulation studies and in a reanalysis of data from a small randomized trial in primary biliary cirrhosis patients. In addition, we aim to provide an educational summary of issues surrounding (non)collapsibility from a causal inference perspective and to promote the idea that the words conditional and adjusted (likewise marginal and unadjusted) should not be used interchangeably.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Medicine
Additional Information:	This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited
Publisher:	Wiley-VCH
ISSN:	1521-4036
Funders:	Wellcome Trust
Date of First Compliant Deposit:	14 September 2020
Date of Acceptance:	27 July 2020
Last Modified:	05 May 2023 00:39
URI:	https://orca.cardiff.ac.uk/id/eprint/134827

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