> #statistics > Differentiate between odds ratio and relative risk?????
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edson sospeter
Jan 7

Differentiate between odds ratio and relative risk?????

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ChatGPT
Jan 7
Odds ratio and relative risk are both measures used in epidemiology and statistics to assess the association between an exposure and an outcome. However, they differ in terms of the type of data they are calculated from and the interpretation of the results.

1. Definition:
- Odds Ratio (OR): The odds ratio is a measure of the strength of association between an exposure and an outcome in a case-control study or a retrospective study. It compares the odds of the outcome occurring in the exposed group to the odds of the outcome occurring in the unexposed group.
- Relative Risk (RR): The relative risk is a measure of the risk or probability of an outcome occurring in the exposed group compared to the unexposed group in a cohort study or a prospective study. It directly compares the incidence or risk of the outcome between the two groups.

2. Calculation:
- Odds Ratio (OR): The odds ratio is calculated by dividing the odds of the outcome occurring in the exposed group by the odds of the outcome occurring in the unexposed group. It is typically estimated using logistic regression.
- Relative Risk (RR): The relative risk is calculated by dividing the risk or incidence of the outcome in the exposed group by the risk or incidence of the outcome in the unexposed group. It is typically estimated using a cohort study design.

3. Interpretation:
- Odds Ratio (OR): The odds ratio represents the odds of the outcome occurring in the exposed group compared to the unexposed group. An odds ratio of 1 indicates no association, an odds ratio greater than 1 indicates a positive association (exposure increases the odds of the outcome), and an odds ratio less than 1 indicates a negative association (exposure decreases the odds of the outcome).
- Relative Risk (RR): The relative risk represents the risk or probability of the outcome occurring in the exposed group compared to the unexposed group. A relative risk of 1 indicates no association, a relative risk greater than 1 indicates a positive association (exposure increases the risk of the outcome), and a relative risk less than 1 indicates a negative association (exposure decreases the risk of the outcome).

In summary, odds ratio is used in case-control studies to compare odds of outcome between exposed and unexposed groups, while relative risk is used in cohort studies to compare risks or probabilities of outcome between exposed and unexposed groups.
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