Show the mathematical relationship between Relative Risk and Difference in

In summary, the formula for calculating the relative risk is (a/a+b) / (c/c+d), where a is the number of individuals in the exposed group who experience the outcome, b is the number of individuals in the exposed group who do not experience the outcome, c is the number of individuals in the unexposed group who experience the outcome, and d is the number of individuals in the unexposed group who do not experience the outcome. Relative risk is interpreted as the ratio of the risk of the outcome occurring in the exposed group compared to the risk of the outcome occurring in the unexposed group. The difference in risk is the absolute difference in the risk of the outcome occurring between the two groups, and it can be
  • #1
Scarlitt14
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Disease A B
No disease C D

Show the mathematical relationship between Relative Risk and Difference in Conditional Proportions. (Work the formulas algebraically so RR is on one side of the equation and the difference (plus some other values that can be calculated using A, B, C, and D) are on the other.)

I'm totally stuck on finding the relationship, RR and Diff are easy enough to find, but I'm not sure what other values to include to find a meaningful relationship between the 2.
 
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  • #2
Please post what you have for RR and Diff, preferably with working.
 

Related to Show the mathematical relationship between Relative Risk and Difference in

1. What is the formula for calculating the relative risk?

The formula for calculating the relative risk is (a/a+b) / (c/c+d), where a is the number of individuals in the exposed group who experience the outcome, b is the number of individuals in the exposed group who do not experience the outcome, c is the number of individuals in the unexposed group who experience the outcome, and d is the number of individuals in the unexposed group who do not experience the outcome.

2. How is relative risk interpreted?

Relative risk is interpreted as the ratio of the risk of the outcome occurring in the exposed group compared to the risk of the outcome occurring in the unexposed group. A relative risk of 1 indicates no difference in risk between the two groups, while a relative risk greater than 1 indicates a higher risk in the exposed group and a relative risk less than 1 indicates a lower risk in the exposed group.

3. What is the relationship between relative risk and difference in risk?

The difference in risk is the absolute difference in the risk of the outcome occurring between the two groups. The relationship between relative risk and difference in risk is that the difference in risk can be calculated by multiplying the relative risk by the risk in the unexposed group. For example, if the relative risk is 2 and the risk in the unexposed group is 0.2, then the difference in risk would be 0.4 (2 x 0.2 = 0.4).

4. How is the relative risk affected by the size of the groups?

The relative risk is not affected by the size of the groups, as it is a ratio of the risks in each group. However, the precision of the relative risk estimate may be affected by the size of the groups, with larger groups generally resulting in a more precise estimate.

5. Can the relative risk be used to determine causality?

No, the relative risk alone cannot determine causality. While a high relative risk may suggest a possible causal relationship between exposure and outcome, other factors such as confounding variables and bias must also be considered before making any causal conclusions.

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