Key points are not available for this paper at this time.
Abstract In this article, we point out some interesting relations between the exact test and the score test for a binomial proportion p. Based on the properties of the tests, we propose some approximate as well as exact methods of computing sample sizes required for the tests to attain a specified power. Sample sizes required for the tests are tabulated for various values of p to attain a power of 0.80 at level 0.05. We also propose approximate and exact methods of computing sample sizes needed to construct confidence intervals with a given precision. Using the proposed exact methods, sample sizes required to construct 95% confidence intervals with various precisions are tabulated for p = .05(.05).5. The approximate methods for computing sample sizes for score confidence intervals are very satisfactory and the results coincide with those of the exact methods for many cases. Keywords: Clopper–Pearson intervalCoverage probabilityExpected lengthOne-sided limitsSizesWilson intervalMathematics Subject Classification: Primary 62H15Secondary 62H17 Notes ∗The approximate sample size in (18) is the reported exact sample size for the score interval minus the number in the superscript.
Krishnamoorthy et al. (Mon,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: