DETERMINATION OF SAMPLE SIZES FOR USE IN CONSTRUCTING CONFIDENCE INTERVALS : FOR A BINOMIAL PARAMETER
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概要
- 論文の詳細を見る
This article considers exact and approximate confidence intervals for a binomial parameter p. Specifically, we will deal with the problem of determination of sample sizes which guarantee the probability that 100(1-α)% confidence intervals for p do not include pre-specified constants is greater than 1-β. It is shown here that the coverage probability of confidence intervals is not an increasing function of the sample size, which is a consequence of the discreteness of binomial distributions. Illustrative numerical examples and some theoretical consideration for such anomalous behavior are given. We also briefly treat the case that the initial guess of the true binomial parameter is vague.
- 日本計算機統計学会の論文
著者
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Hidaka Noriko
Pharmaceutical Division Suntory Co.ltd.
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Hidaka Noriko
Pharmaceutical Division Suntory Co. Ltd.
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Iwasaki Manabu
Department Of Computer And Information Science Faculty Of Science And Engineering Seikei University
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- DETERMINATION OF SAMPLE SIZES FOR USE IN CONSTRUCTING CONFIDENCE INTERVALS : FOR A BINOMIAL PARAMETER