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Sample size determination for 2k-r experiments with a binomial response

Author

Listed:
  • Enrique Gonzalez-Davila
  • Josep Ginebra
  • Roberto Dorta-Guerra

Abstract

This paper provides closed form expressions for the sample size for two-level factorial experiments when the response is the number of defectives. The sample sizes are obtained by approximating the two-sided test for no effect through tests for the mean of a normal distribution, and borrowing the classical sample size solution for that problem. The proposals are appraised relative to the exact sample sizes computed numerically, without appealing to any approximation to the binomial distribution, and the use of the sample size tables provided is illustrated through an example.

Suggested Citation

  • Enrique Gonzalez-Davila & Josep Ginebra & Roberto Dorta-Guerra, 2008. "Sample size determination for 2k-r experiments with a binomial response," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(4), pages 357-367.
    • Handle: RePEc:taf:japsta:v:35:y:2008:i:4:p:357-367
    DOI: 10.1080/02664760701833669
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