Show the mathematical relationship between Relative Risk and Difference in

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SUMMARY

The discussion focuses on deriving the mathematical relationship between Relative Risk (RR) and the Difference in Conditional Proportions using a 2x2 contingency table. The values A, B, C, and D represent the counts of disease presence and absence among smokers and non-smokers. The formulas for RR and the difference in proportions are established, with the goal of isolating RR on one side of the equation. Key insights include the necessity of incorporating additional values such as the total number of subjects and the overall disease prevalence to elucidate the relationship between RR and the difference in proportions.

PREREQUISITES
  • Understanding of 2x2 contingency tables
  • Familiarity with epidemiological concepts such as Relative Risk and Conditional Proportions
  • Basic algebra for manipulating equations
  • Knowledge of statistical significance and its implications in health studies
NEXT STEPS
  • Study the derivation of the Relative Risk formula in epidemiology
  • Explore the concept of Conditional Proportions in depth
  • Learn about the implications of the Difference in Proportions in health research
  • Investigate how to calculate and interpret confidence intervals for RR
USEFUL FOR

Students and professionals in epidemiology, biostatistics, and public health who are analyzing the relationship between risk factors and health outcomes.

Scarlitt14
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Smoker Non-smoker
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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Please post what you have for RR and Diff, preferably with working.
 

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