The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Usage and Estimation of R-indicator for Representative

대표성을 위한 R-indicator의 사용과 추정법 연구

  • Park, Hyeonah (Department of Statistics, Seoul National University) ;
  • Lee, Kee-Jae (The Department of Information Statistics, Korea National Open University)
  • 박현아 (서울대학교 통계학과) ;
  • 이기재 (한국방송통신대학교 정보통계학과)
  • Received : 2015.01.20
  • Accepted : 2015.03.12
  • Published : 2015.06.30
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Abstract

Measures in response rate used to measure the representativeness of the sample (the more high response rate) better explain the representativeness of the sample. However, we cannot often explain the representativeness of the sample because there is nonresponse even in the high response rate. Therefore, Schouten et al. (2009) presented a new R-indicator measure that can be described as a representative of the sample. We research the new estimator of the R-indicator in this paper because there are parameters that require estimations. We describe the meanings as representative of the R-indicator; consequently, the bias and efficiency of the proposed estimator for R-indicator are compared to the existing estimator under various simulations. The representativeness of the sample is also explained by applying the proposed estimators in the actual data.

표본의 대표성을 측정하기 위한 척도로 응답률이 사용된다. 즉 높은 응답률일수록 표본의 대표성을 더 잘 나타낸다고 할 수 있다. 그러나 높은 응답률이라 할지라도 무응답이 존재하는 것이므로 표본의 대표성을 설명하기에는 한계가 있는 경우가 발생한다. 그래서 Schouten 등 (2009)에서는 R-indicator라는 새로운 척도를 제시하여 표본의 대표성을 더 설명할 수 있게 하였다. 본 논문에서는 R-indicator도 표본에 의해 추정되어야 한다는 것에 착안하여 그것에 관한 새로운 추정량을 제시한다. 또한 여러 모의실험하에 R-indicator의 대표성으로써의 설명력과 제안된 추정량의 편향과 효율을 기존의 추정량과 비교분석하며 실제자료에도 제안한 추정량을 적용하여 표본의 대표성을 설명한다.

Keywords

References

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