The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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A Study on the Randomized Response Technique by PPS Sampling

확률비례추출법에 의한 확률화응답기법에 관한 연구

  • 이기성 (우석대학교 컴퓨터학부)
  • Published : 2006.03.01
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Abstract

In this study, we make an effort to find a method to acquire sensitive information when sensitive populations are consisted of several clusters that vary in size. We suggest and systemize the theoretical validity for applying RRT(Randomized Response Technique) to PPS(Probability Proportional to Size) sampling method and derive the estimate and it's variance of the proportion of sensitive characteristic of population by using the suggested method. We compare the efficiency of the suggested technique by two-stage equal probability sampling. We examine practical aspects of the suggested method of RRT by PPS sampling through field survey.

본 연구에서는 매우 민감한 조사에서 모집단이 집락의 크기가 서로 다른 여러 개의 집락으로 구성되어 있을 때, 집락의 크기에 비례하게 추출확률을 부여하는 확률비례추출법(probability proportional to size : pps)을 이용한 확률화응답기법을 제안하고자 한다. 민감한 속성에 대한 모수의 추정치와 분산 및 분산추정량을 구하여 이론적 체계를 구축하고, 확률비례추출법에 의한 확률화응답기법과 등확률 2단계 추출법에 의한 확률화응답기법의 효율성을 비교해 보고자 한다. 또한, 실제조사를 통해 제안한 확률비례추출법에 의한 확률화응답기법에 대한 실용화의 타당성을 검토하고자 한다.

Keywords

References

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  2. A two-stage unrelated randomized response model for estimating a rare sensitive attribute in probability proportional to size sampling using Poisson distribution 2018, https://doi.org/10.1080/03610926.2017.1361992
  3. An Additive Quantitative Randomized Response Model by Cluster Sampling vol.25, pp.3, 2012, https://doi.org/10.5351/KJAS.2012.25.3.447
  4. A new stratified three-stage unrelated randomized response model for estimating a rare sensitive attribute based on the Poisson distribution pp.1532-415X, 2018, https://doi.org/10.1080/03610926.2018.1438625