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01.12.2014 | Research article | Ausgabe 1/2014 Open Access

BMC Medical Research Methodology 1/2014

Comparison of robustness to outliers between robust poisson models and log-binomial models when estimating relative risks for common binary outcomes: a simulation study

BMC Medical Research Methodology > Ausgabe 1/2014
Wansu Chen, Jiaxiao Shi, Lei Qian, Stanley P Azen
Wichtige Hinweise

Electronic supplementary material

The online version of this article (doi:10.​1186/​1471-2288-14-82) contains supplementary material, which is available to authorized users.

Competing interests

The authors declare that they have no competing interests.

Authors’ contributions

WC conceived and carried out the study, and drafted the manuscript. JS participated in the design, data generation and interpretation of the analyses. LQ participated in the design, simulation and interpretation of the analyses. SA participated in the design and provided guidance. All the authors read and approved the final manuscript.



To estimate relative risks or risk ratios for common binary outcomes, the most popular model-based methods are the robust (also known as modified) Poisson and the log-binomial regression. Of the two methods, it is believed that the log-binomial regression yields more efficient estimators because it is maximum likelihood based, while the robust Poisson model may be less affected by outliers. Evidence to support the robustness of robust Poisson models in comparison with log-binomial models is very limited.


In this study a simulation was conducted to evaluate the performance of the two methods in several scenarios where outliers existed.


The findings indicate that for data coming from a population where the relationship between the outcome and the covariate was in a simple form (e.g. log-linear), the two models yielded comparable biases and mean square errors. However, if the true relationship contained a higher order term, the robust Poisson models consistently outperformed the log-binomial models even when the level of contamination is low.


The robust Poisson models are more robust (or less sensitive) to outliers compared to the log-binomial models when estimating relative risks or risk ratios for common binary outcomes. Users should be aware of the limitations when choosing appropriate models to estimate relative risks or risk ratios.
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