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September 1, 1978Biometrics424 citations

Obtaining Confidence Intervals for the Risk Ratio in Cohort Studies

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DKDaniela KatzShaare Zedek Medical CenterJBJorge BaptistaInstituto de Engenharia de Sistemas e Computadores Investigação e DesenvolvimentoSAStanley P. AzenUniversity of Southern California

Key Points

  • To evaluate and compare three statistical methods for constructing confidence intervals for the risk ratio between two independent binomial samples.
  • Compared Method A (Thomas and Gart, 1977), Method B (Fieller's method adaptation using the normal distribution), and Method C (proposed logarithmic transformation).
  • Assessed method performance and validity through extensive numerical simulations across independent binomial samples.
  • Method A was found to be reasonable but consistently conservative in its interval coverage.
  • Method B produced erratic results and is not recommended for practical application.
  • Method C was computationally the simplest, performed reasonably, was less conservative than Method A, and is the recommended approach.

Abstract

Three methods of obtaining confidence intervals for the risk ratio offailure in two independent binomial samples are compared. The three are (A) the method of Thomas and Gart (1977), (B) an adaptation of the method of Fieller using the normal distribution, and (C) a proposed method using a logarithmic transformation. On the basis of extensive simulations we have concluded that Method A is reasonable but conservative, Method B is erratic and should not be used, aszd Method C is reasonable and less conservative than Method A. Method C, cotnputationally the simplest, is recommended.

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Cite This Study

Katz et al. (1978) studied this question.

synapsesocial.com/papers/69fa45dbff5ad5a86a63acd7https://doi.org/10.2307/2530610
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