## Study Design and Choice of Measure **Key Point:** In cross-sectional studies, relative risk (RR) is the most appropriate and interpretable measure of association when the outcome (disease) prevalence is not rare (typically >10%). ### Why RR is Preferred Here **High-Yield:** The prevalence of COPD in this study is: - Among smokers: 200/1000 = 20% - Among non-smokers: 100/4000 = 2.5% - Overall: 300/5000 = 6% Since the disease prevalence exceeds 10% in the exposed group, RR is the most direct and interpretable measure. ### RR vs OR in Different Study Designs | Study Design | Preferred Measure | Reason | |---|---|---| | **Cross-sectional** (disease not rare) | Relative Risk | Direct calculation; intuitive interpretation | | **Cross-sectional** (disease rare, <10%) | Odds Ratio | RR and OR converge; OR acceptable | | **Case-control** | Odds Ratio | RR cannot be calculated; OR approximates RR when disease is rare | | **Cohort** | Relative Risk | Direct calculation of incidence rates | **Clinical Pearl:** RR of 4.0 means smokers are 4 times more likely to have COPD compared to non-smokers — this is the most intuitive interpretation for public health messaging. ### Interpretation of Findings **Mnemonic: RARE** — **R**elative Risk when disease is **A**vailable (calculable), **R**are or not, **E**xposed group prevalence determines choice. - RR = 4.0: Smokers have 4-fold increased odds of COPD - OR = 2.67: The odds of being a smoker among those with COPD vs without COPD is 2.67:1 - RR is more clinically meaningful for policy (e.g., "smoking increases COPD risk 4-fold") ### Public Health Application **Key Point:** When communicating findings to policymakers and the public, RR is more intuitive and actionable than OR. An RR of 4.0 is a clear, powerful message for tobacco control initiatives. [cite:Park 26e Ch 10]
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