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A comment on sample size calculations for binomial confidence intervals

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  • Lai Wei
  • Alan D. Hutson

Abstract

In this article we examine sample size calculations for a binomial proportion based on the confidence interval width of the Agresti--Coull, Wald and Wilson Score intervals. We pointed out that the commonly used methods based on known and fixed standard errors cannot guarantee the desired confidence interval width given a hypothesized proportion. Therefore, a new adjusted sample size calculation method was introduced, which is based on the conditional expectation of the width of the confidence interval given the hypothesized proportion. With the reduced sample size, the coverage probability can still maintain at the nominal level and is very competitive to the converge probability for the original sample size.

Suggested Citation

  • Lai Wei & Alan D. Hutson, 2013. "A comment on sample size calculations for binomial confidence intervals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(2), pages 311-319, February.
    • Handle: RePEc:taf:japsta:v:40:y:2013:i:2:p:311-319
    DOI: 10.1080/02664763.2012.740629
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