The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Expansion of power allocation using response rate per stratum

층별 응답률을 사용한 멱배정 방법의 확장

  • 박현아 (연세대학교 데이터사이언스학부)
  • Received : 2021.04.20
  • Accepted : 2021.07.05
  • Published : 2021.10.31
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Abstract

Power allocation is a technique that evenly allocates samples for each stratum, although the overall efficiency of the allocation is less than that of optimal allocation, and it is often used as a square root proportional allocation in real survey. Also, considering the non-response that occurs in real survey, a larger sample size is used than that in the theoretical formula. In this study, in determining the sample size for each stratum, we study the new methods of allocating by adding information on the response rate per each stratum to power allocation method. The proposed allocation methods are compare with proportional, optimal, and square root proportional allocation in simulation. In addition, the comparison with the proportional and optimal allocation to which the response rate was added is examined through simulation. As a result, we examine the advantages and disadvantages of the allocation methods.

멱배정의 전체 효율은 최적배정보다 감소하지만, 층별 표본을 골고루 배정하는 기법이며 조사 현장에서는 제곱근 비례배정으로 많이 사용된다. 그리고 실제조사에서는 무응답을 고려하여 이론적 공식에서 나오는 것보다 더 많은 표본크기를 추출한다. 본 연구에서는 층별 표본크기를 결정함에 있어서 멱배정 방법에 층별 응답률의 정보를 추가하여 배정하는 기법을 연구한다. 제안된 배정기법들을 비례,최적,제곱근 비례 배정과 비교하며 응답률이 추가된 비례, 최적배정과도 비교하는 것을 모의실험을 통해 살펴봄으로써 배정방법들의 장단점을 살펴본다.

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References

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