Improved Conditional Logistic Regression using Information in Concordant Pairs with Software

Fuente: arXiv
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Auteurs principaux: Tennenbaum, Jacob, Kapelner, Adam
Format: Preprint
Publié: 2026
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author Tennenbaum, Jacob
Kapelner, Adam
author_facet Tennenbaum, Jacob
Kapelner, Adam
contents We develop an improvement to conditional logistic regression (CLR) in the setting where the parameter of interest is the additive effect of binary treatment effect on log-odds of the positive level in the binary response. Our improvement is simply to use information learned above the nuisance control covariates found in the concordant response pairs' observations (which is usually discarded) to create an informative prior on their coefficients. This prior is then used in the CLR which is run on the discordant pairs. Our power improvements over CLR are most notable in small sample sizes and in nonlinear log-odds-of-positive-response models. Our methods are released in an optimized R package called bclogit.
format Preprint
id arxiv_https___arxiv_org_abs_2602_08212
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Improved Conditional Logistic Regression using Information in Concordant Pairs with Software
Tennenbaum, Jacob
Kapelner, Adam
Methodology
We develop an improvement to conditional logistic regression (CLR) in the setting where the parameter of interest is the additive effect of binary treatment effect on log-odds of the positive level in the binary response. Our improvement is simply to use information learned above the nuisance control covariates found in the concordant response pairs' observations (which is usually discarded) to create an informative prior on their coefficients. This prior is then used in the CLR which is run on the discordant pairs. Our power improvements over CLR are most notable in small sample sizes and in nonlinear log-odds-of-positive-response models. Our methods are released in an optimized R package called bclogit.
title Improved Conditional Logistic Regression using Information in Concordant Pairs with Software
topic Methodology
url https://arxiv.org/abs/2602.08212