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Sample sizes for estimating differences in proportions--can we keep things simple?

Sze Huey Tan1, David Machin, Say Beng Tan

  • 1Division of Clinical Trials & Epidemiological Sciences, National Cancer Centre Singapore, Singapore, Singapore. ncttsh@nccs.com.sg

Journal of Biopharmaceutical Statistics
|December 30, 2011
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Summary
This summary is machine-generated.

Calculating sample sizes for proportion studies is crucial. The Day method, using asymptotic normal approximation, offers a practical approach for sample size estimation, closely aligning with the Wilson score method for most scenarios.

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Area of Science:

  • Biostatistics
  • Statistical Methods

Background:

  • Sample size calculations are essential for studies estimating differences in proportions.
  • Commonly used methods include those by Day (1988) and Bristol (1989), based on asymptotic normal approximations.

Purpose of the Study:

  • To compare the Day and Bristol methods for sample size calculation with the Wilson score approach.
  • To evaluate the suitability of these methods for estimating sample sizes for proportion differences.

Main Methods:

  • Comparison of sample size calculations using the Day method, Bristol method, and Wilson score method.
  • Analysis based on asymptotic normal approximations.

Main Results:

  • The Day method provides sample size estimates close to the Wilson score method, except for extreme values.
  • The Bristol method consistently yields higher sample size estimates compared to the Wilson score method.

Conclusions:

  • The Day method, utilizing asymptotic normal approximation, is a reliable guide for rapid sample size calculations in proportion studies.
  • The Wilson score method serves as a benchmark for comparison, with the Day method showing good agreement.