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Relative Risk Estimation in Randomized Controlled Trials: A Comparison of Methods for Independent Observations

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  • Yelland Lisa N
  • Salter Amy B
  • Ryan Philip

Abstract

The relative risk is a clinically important measure of the effect of treatment on binary outcomes in randomized controlled trials (RCTs). An adjusted relative risk can be estimated using log binomial regression; however, convergence problems are common with this model. While alternative methods have been proposed for estimating relative risks, comparisons between methods have been limited, particularly in the context of RCTs. We compare ten different methods for estimating relative risks under a variety of scenarios relevant to RCTs with independent observations. Results of a large simulation study show that some methods may fail to overcome the convergence problems of log binomial regression, while others may substantially overestimate the treatment effect or produce inaccurate confidence intervals. Further, conclusions about the effectiveness of treatment may differ depending on the method used. We give recommendations for choosing a method for estimating relative risks in the context of RCTs with independent observations.

Suggested Citation

  • Yelland Lisa N & Salter Amy B & Ryan Philip, 2011. "Relative Risk Estimation in Randomized Controlled Trials: A Comparison of Methods for Independent Observations," The International Journal of Biostatistics, De Gruyter, vol. 7(1), pages 1-31, January.
  • Handle: RePEc:bpj:ijbist:v:7:y:2011:i:1:n:5
    DOI: 10.2202/1557-4679.1278
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    References listed on IDEAS

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    1. Peter Cummings, 2009. "Methods for estimating adjusted risk ratios," Stata Journal, StataCorp LP, vol. 9(2), pages 175-196, June.
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    Cited by:

    1. Lola Neufcourt & Séverine Deguen & Sahar Bayat & Marie Zins & Olivier Grimaud, 2020. "Gender differences in the association between socioeconomic status and hypertension in France: A cross-sectional analysis of the CONSTANCES cohort," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-14, April.
    2. Yelland Lisa N & Salter Amy B & Ryan Philip, 2011. "Relative Risk Estimation in Cluster Randomized Trials: A Comparison of Generalized Estimating Equation Methods," The International Journal of Biostatistics, De Gruyter, vol. 7(1), pages 1-26, May.
    3. Tyler J. VanderWeele, 2020. "Optimal approximate conversions of odds ratios and hazard ratios to risk ratios," Biometrics, The International Biometric Society, vol. 76(3), pages 746-752, September.

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