The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Bias corrected non-response estimation using nonparametric function estimation of super population model

선형 응답률 모형에서 초모집단 모형의 비모수적 함수 추정을 이용한 무응답 편향 보정 추정

  • Sim, Joo-Yong (Department of Statistics, Hankuk University of Foreign Studies) ;
  • Shin, Key-Il (Department of Statistics, Hankuk University of Foreign Studies)
  • 심주용 (한국외국어대학교 통계학과) ;
  • 신기일 (한국외국어대학교 통계학과)
  • Received : 2021.08.10
  • Accepted : 2021.09.11
  • Published : 2021.12.31
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Abstract

A large number of non-responses are occurring in the sample survey, and various methods have been developed to deal with them appropriately. In particular, the bias caused by non-ignorable non-response greatly reduces the accuracy of estimation and makes non-response processing difficult. Recently, Chung and Shin (2017, 2020) proposed an estimator that improves the accuracy of estimation using parametric super-population model and response rate model. In this study, we suggested a bias corrected non-response mean estimator using a nonparametric function generalizing the form of a parametric super-population model. We confirmed the superiority of the proposed estimator through simulation studies.

표본조사에서는 다수의 무응답이 발생하며 이를 적절히 처리하는 다양한 방법이 개발되었다. 특히 무응답이 관심변수에 영향을 받고 이로 인해 발생한 편향은 추정의 정확성을 크게 떨어뜨리며 무응답 처리를 어렵게 한다. 최근 Chung과 Shin (2017, 2020)은 알려진 모수적 초모집단 모형과 응답률 모형을 이용하여 추정의 정확성을 향상한 추정량을 제안하였다. 본 연구에서는 초모집단 모형의 형태를 일반화하여 비모수적 함수 형태를 설정한 후 이를 기반으로 얻어진 편향을 적절히 처리한 편향 보정 평균추정량을 제안하였다. 모의실험을 통해 본 연구에서 제안한 방법의 우수성을 확인하였다.

Keywords

Acknowledgement

이 연구는 2021년 한국외국어대학교 교내연구비 지원을 받아 수행되었음.

References

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