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Updated: Jun 25, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Estimation of the relative excess risk due to interaction and associated confidence bounds
David B Richardson1, Jay S Kaufman
1Department of Epidemiology, School of Public Health, University of North Carolina, Chapel Hill, NC 27599, USA. david.richardson@unc.edu
Abstract:
The relative excess risk due to interaction (RERI) provides a useful metric of departure from additivity of effects on a relative risk scale. In this paper, the authors show that RERI is identical to the product term in a linear odds ratio or a linear relative risk model. SAS and STATA codes are provided for fitting a linear odds ratio model that directly parameterizes RERI. In addition, this paper presents a method for obtaining likelihood-based 95% confidence bound estimates for RERI. The authors show that likelihood-based confidence intervals may differ substantially from the asymptotic confidence interval estimates advocated by previous authors. The approach presented in this paper should facilitate estimation of RERI and associated likelihood-based confidence bounds, by using standard statistical packages.
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