The Influence of Extreme Value in Binomial Confidence Interval

이항 신뢰구간에서 극단값의 영향

  • Ryu, Jea-Bok (Division of Natural Science, Cheongju University)
  • Received : 20110700
  • Accepted : 20110800
  • Published : 2011.09.30


Several methods are used in interval estimation for binomial proportion; however the coverage probabilities of most confidence intervals depart from the confidence level when the binomial population proportion closes to 0 or 1 due to the extreme value. Vollset (1993), Agresti and Coull (1998), Newcombe (1998), and Brown et al. (2001) suggested methods to adjust the extreme value. This paper discusses the influence of extreme value in a binomial confidence interval through the numerical comparison of 6 confidence intervals.


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