Interpretation differences

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Relative Risk (RR) - The Cohort Compass

  • Definition: Compares the risk of developing a disease in the exposed group to the risk in the unexposed group. The primary measure for cohort studies.
  • Calculation: Based on incidence.
    • Formula: $RR = \frac{\text{Incidence in exposed}}{\text{Incidence in unexposed}} = \frac{[a/(a+b)]}{[c/(c+d)]}$
  • Interpretation:
    • $RR > 1$: ↑ risk in the exposed group. (e.g., RR = 2.5 means a 150% increase in risk).
    • $RR < 1$: ↓ risk in the exposed group (protective exposure).
    • $RR = 1$: No association between exposure and outcome.

📌 Mnemonic: Relative Risk is for cohoRRt studies.

2x2 Table for Relative Risk Calculation (Cohort Study)

⭐ RR provides a direct measure of risk. A statement like "smokers are 20 times more likely to develop lung cancer" is a statement of relative risk.

Odds Ratio (OR) - The Case-Control Clue

  • Primary Use: The go-to measure for case-control studies. We start with the outcome (cases vs. controls) and retrospectively assess for prior exposure.
  • Core Question: "What are the odds that a case was exposed versus the odds that a control was exposed?"
  • Calculation: From a 2x2 table, the OR is the ratio of the odds of exposure in cases to the odds of exposure in controls.
    • Formula: $OR = (a/c) / (b/d) = ad/bc$
  • Interpretation:
    • OR > 1: Increased odds of exposure among cases.
    • OR < 1: Decreased odds of exposure among cases (protective exposure).

⭐ When disease prevalence is low (<10%), the OR closely approximates the Relative Risk (RR). As prevalence increases, the OR tends to overestimate the RR.

2x2 table for odds ratio calculation

Interpretation - When Odds Aren't Risky

  • Odds Ratio (OR) and Relative Risk (RR) measure the association between an exposure and an outcome. Their interpretations differ, especially with common diseases.
ValueOdds Ratio (OR) InterpretationRelative Risk (RR) Interpretation
> 1Increased odds of outcome with exposureIncreased risk (probability) of outcome
< 1Decreased odds of outcome with exposureDecreased risk (probability) of outcome
= 1No association between exposure & outcomeNo association between exposure & outcome
-   OR is a good approximation of RR when the disease is rare (prevalence < **10%**).
-   As disease prevalence ↑, the OR increasingly *overestimates* the RR.
-   📌 **OR** **O**verestimates **R**isk.

Exam Favorite: Case-control studies, which sample based on disease status, can only calculate an Odds Ratio. Prospective cohort studies can calculate both Relative Risk and Odds Ratio.

  • Odds Ratio (OR) is the primary measure for case-control studies; it compares the odds of exposure in cases vs. controls.
  • Relative Risk (RR) is the standard for cohort studies; it compares the risk of disease in exposed vs. unexposed groups.
  • When disease prevalence is low (<10%), the OR approximates the RR.
  • With higher prevalence, the OR will overestimate the RR.
  • RR is more intuitive: "twice the risk."
  • OR is less direct: "twice the odds."

Practice Questions: Interpretation differences

Test your understanding with these related questions

You are conducting a study comparing the efficacy of two different statin medications. Two groups are placed on different statin medications, statin A and statin B. Baseline LDL levels are drawn for each group and are subsequently measured every 3 months for 1 year. Average baseline LDL levels for each group were identical. The group receiving statin A exhibited an 11 mg/dL greater reduction in LDL in comparison to the statin B group. Your statistical analysis reports a p-value of 0.052. Which of the following best describes the meaning of this p-value?

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Flashcards: Interpretation differences

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What is the equation for attributable risk percent in the exposed (ARPexposed)?_____

TAP TO REVEAL ANSWER

What is the equation for attributable risk percent in the exposed (ARPexposed)?_____

ARPexposed = 100 x [(RR-1)/RR]

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