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Relative risk reduction

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In clinical epidemiology and evidence-based medicine, the relative risk reduction is a measure of the likelihood of a clinical outcome in group of patients exposed to a factor compared to a control group of patients.[1] This measure should be contrasted with the absolute risk reduction.

Calculations

Two-by-two table for a randomized-controlled trial or cohort study
Outcome
Present Absent
Experimental group Cell A Cell BTotal in the experimental group
Control group Cell C Cell DTotal in the control group
Total with the outcome Total without the outcome
\mbox{Experimental event rate EER)} =\left (\frac{\mbox{ Cell A}}{\mbox{Total in the }experimental\mbox{ group}}\right )
\mbox{Control event rate (CER)} =\left (\frac{\mbox{Cell C}}{\mbox{Total in the }control\mbox{ group}}\right)
\mbox{Relative risk reduction} =\left (\frac{\mbox{CER - EER}}{\mbox{CER}}\right)

References

  1. Barratt A, Wyer PC, Hatala R, et al (2004). "Tips for learners of evidence-based medicine: 1. Relative risk reduction, absolute risk reduction and number needed to treat". CMAJ 171 (4): 353–8. DOI:10.1503/cmaj.1021197. PMID 15313996.

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