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How to Calculate Relative Risk Reduction From Odds Ratio

RRR Approximation Formula:

\[ RRR = 1 - \frac{OR \times (1 - Baseline)}{1 + OR \times (Baseline - 1)} \]

(0-1)

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1. What is Relative Risk Reduction?

Relative Risk Reduction (RRR) is a measure that shows the proportional reduction in risk between treatment and control groups in clinical studies. It provides insight into the effectiveness of an intervention compared to baseline risk.

2. How Does the Calculator Work?

The calculator uses the RRR approximation formula:

\[ RRR = 1 - \frac{OR \times (1 - Baseline)}{1 + OR \times (Baseline - 1)} \]

Where:

Explanation: This formula approximates RRR from odds ratio when absolute risk reduction data is not available, providing a useful estimate for clinical decision-making.

3. Importance of RRR Calculation

Details: RRR helps clinicians and researchers understand the relative benefit of treatments, allowing for better comparison of intervention effectiveness across different studies and patient populations.

4. Using the Calculator

Tips: Enter odds ratio (typically from clinical trials) and baseline risk as a decimal between 0 and 1. Ensure both values are valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between RRR and ARR?
A: RRR shows proportional risk reduction, while Absolute Risk Reduction (ARR) shows the actual difference in risk between groups. RRR is relative, ARR is absolute.

Q2: When should I use this approximation?
A: Use when you have odds ratio data but need relative risk reduction for clinical interpretation or patient communication.

Q3: How accurate is this approximation?
A: The approximation works well for rare outcomes but may be less accurate for common outcomes where odds ratio and relative risk diverge.

Q4: What does a negative RRR mean?
A: A negative RRR indicates increased risk rather than reduction, suggesting the intervention may be harmful.

Q5: Can RRR exceed 100%?
A: No, RRR is typically expressed as a percentage between -100% and 100%, though values near 100% indicate near-complete risk elimination.

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