The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Confidence Intervals for a tow Binomial Proportion

낮은 이항 비율에 대한 신뢰구간

  • Ryu Jae-Bok (Dvivision of Life Science.Genetic Engineering.Statistics, Cheongju University) ;
  • Lee Seung-Joo (Dvivision of Life Science.Genetic Engineering.Statistics, Cheongju University)
  • 류제복 (청주대학교 생명.유전.통계학부) ;
  • 이승주 (청주대학교 생명.유전.통계학부)
  • Published : 2006.07.01
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Abstract

e discuss proper confidence intervals for interval estimation of a low binomial proportion. A large sample surveys are practically executed to find rates of rare diseases, specified industrial disaster, and parasitic infection. Under the conditions of 0 < p ${\leq}$ 0.1 and large n, we compared 6 confidence intervals with mean coverage probability, root mean square error and mean expected widths to search a good one for interval estimation of population proportion p. As a result of comparisons, Mid-p confidence interval is best and AC, score and Jeffreys confidence intervals are next.

본 연구에서는 낮은 이항비율에 관한 구간추정을 위해서 어떤 신뢰구간이 바람직한지를 살펴보았다. 실제 적으로 희귀질병, 특정 산업재해율, 그리 고 기생충에 관한 실태조사를 위해서 대규모 표본조사가 실시된다. 표본 규모가 크고, 0 < p ${\leq}$ 0.1인 상황에서 모비율 p의 추정에 바람직한 신뢰구간을 살펴보았다. 위의 조건에서 6가지의 신뢰구간들에 대해 평균포함확률과 평균제곱오차의 제곱근, 그리고 평균기대폭을 사용한 결과 Mid-p 신뢰 구간이 가장 바람직하고 다음으로 AC, score와 Jeffrey 신뢰 구간들이 적절한 것으로 밝혀졌다.

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References

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