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Calculate Odds Ratio By Hand

Odds Ratio Formula:

\[ OR = \frac{a \times d}{b \times c} \]

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1. What is Odds Ratio?

Odds Ratio (OR) is a measure of association between an exposure and an outcome. It represents the odds that an outcome will occur given a particular exposure, compared to the odds of the outcome occurring in the absence of that exposure.

2. How Does the Calculator Work?

The calculator uses the Odds Ratio formula:

\[ OR = \frac{a \times d}{b \times c} \]

Where:

Explanation: The formula calculates the ratio of the odds of an event occurring in the exposed group versus the odds of it occurring in the non-exposed group.

3. Importance of Odds Ratio Calculation

Details: Odds Ratio is widely used in case-control studies, clinical research, and epidemiology to quantify the strength of association between risk factors and outcomes. It helps researchers understand relationships between variables and make informed decisions.

4. Using the Calculator

Tips: Enter the four cell counts from your 2x2 contingency table. All values must be non-negative integers, and the product of b and c must not be zero to avoid division by zero.

5. Frequently Asked Questions (FAQ)

Q1: What does an OR of 1 mean?
A: An OR of 1 indicates no association between exposure and outcome - the odds are equal in both groups.

Q2: What does an OR greater than 1 indicate?
A: An OR > 1 suggests increased odds of the outcome occurring with exposure compared to without exposure.

Q3: What does an OR less than 1 indicate?
A: An OR < 1 suggests decreased odds of the outcome occurring with exposure, potentially indicating a protective effect.

Q4: When is odds ratio used instead of relative risk?
A: Odds ratio is typically used in case-control studies where relative risk cannot be directly calculated, while relative risk is used in cohort studies.

Q5: What are the limitations of odds ratio?
A: OR can overestimate relative risk when outcomes are common (>10%). It may be less intuitive to interpret than relative risk for some audiences.

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