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Estimation of a Relative Risk Effect Size when Using Continuous Outcomes Data: An Application of Methods in the
Yong Yi Lee1,2,3,4,5,6,7, Long Khanh-Dao Le1,2,3,4,5,6,7, Emily A Stockings1,2,3,4,5,6,7
1School of Public Health, University of Queensland, Herston, Queensland, Australia (YYL, HAW, JJB).
The raw mean difference and Cochrane conversion methods effectively predict relative risk effect sizes from continuous data. The standardized mean difference method showed weaker predictive performance in this analysis.
Area of Science:
- Health economics
- Biostatistics
- Psychiatric research
Background:
- Continuous effect size measures like raw mean difference (RMD) and standardized mean difference (SMD) are difficult to integrate into health care decision-analytic models.
- Relative risk (RR) is a more usable effect size for such models, necessitating methods to convert continuous data to RR.
Purpose of the Study:
- To compare the predictive performance of three methods for converting continuous outcomes data from psychiatric rating scales into relative risk (RR) effect sizes.
- To evaluate the utility of these conversion methods in cost-effectiveness models.
Main Methods:
- Three conversion methods (RMD, SMD, Cochrane) were applied to continuous outcomes data from randomized controlled trials (RCTs).
- The RCTs focused on interventions for depression in youth and adults, and eating disorders in young women.
- Predictive performance was assessed using scatterplots, correlation coefficients (r), and linear regression, with an applied cost-effectiveness analysis.
Main Results:
- The RMD and Cochrane methods demonstrated strong predictive performance for RR effect sizes in adult depression and young women's eating disorder RCTs (RMD: r=0.89-0.90; Cochrane: r=0.73-0.96).
- Moderate predictive performance was observed for all three methods in youth depression RCTs (r=0.46-0.50).
- Minimal differences were found when applying the conversion methods within a cost-effectiveness model.
Conclusions:
- The raw mean difference (RMD) and Cochrane conversion methods are valid for predicting relative risk (RR) effect sizes from continuous outcomes data.
- Further validation and refinement are recommended before widespread application of these conversion techniques.
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