The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
권호 표지
DOI QR코드

DOI QR Code

Determination of Sample Size and Comparison of Efficiency in Adaptive Cluster Sampling

적응집락추출에서 표본크기 결정과 추정량의 효율 비교

  • Published : 2007.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

Adaptive sampling design is the selection procedure which depends on observed values of the variable of interest. It is the method which could be applied to the rare and unapproachable population. Adaptive cluster sampling strategies are more efficient than simple random sampling on equivalent sample size. Adaptive sampling with new estimators through the Rao-blackwell method have lower variance than Horvitz-Thompson (HT) and Hansen-Hurwitz (HH). Also, to determine suitable sample size, it was used expected sample and the method finding appropriate sample size by changing initial sample size were studied.

모집단 단위들이 희박하게 존재하고 접근하기 어려운 경우에 적용하는 적응추출설계에서의 추출과정은 관심변수의 관측값에 의존한다. 동일한 표본크기에서 적응집락추출의 추정량은 단순임의추출의 추정량에 비해 효율이 더 좋다 적응추출에서 Rao-blackwell의 정리를 적용하여 Murthy의 추정량의 형태로 수정한 한센-휴비_(HH) 추정량과 호르비_-톰슨 (HT) 추정량은 기존의 추정량에 비해 작은 분산을 가진다. 본 연구는 초기표본을 바꿔가면서 기대표본크기와 적응추출의 표본크기 하의 단순임의추출의 추정량과 적응추출의 추정량의 효율을 비교하였다.

Keywords

References

  1. Blackwell, D. (1947). Conditional expectation and unbiased sequential estimation, Annals of Mathematical Statistics, 18, 105-110 https://doi.org/10.1214/aoms/1177730497
  2. Dryver, A. L. and Thompson, S. K. (2005). Improved unbiased estimators in adaptive cluster sampling, Journal of the Royal Statistical Society, Ser. B, 67, 157-166 https://doi.org/10.1111/j.1467-9868.2005.00493.x
  3. Dryver, A. L. and Thompson, S. K. (2006). Adaptive cluster sampling without replacement of clusters, Statistical Methodology, 3, 35-43
  4. Murthy, M. N. (1957). Ordered and unordered estimators in sampling without replacement, Sankhyii, 18, 379-390
  5. Smith, D. R., Conroy, M. J and Brakhage, D. H. (1995). Efficiency of adaptive cluster sampling for estimating density of wintering waterfowl, Biometrics, 51, 777-788 https://doi.org/10.2307/2532964
  6. Thompson, S. K. (1990). Adaptive cluster sampling, Journal of the American Statistical Association, 85, 1050-1059 https://doi.org/10.2307/2289601
  7. Thompson, S. K. (1995). Adaptive sampling, The Survey Statistician, 32, 13-15
  8. Thompson, S. K. (1996). Adaptive cluster sampling based on order statistics, Environmetrics, 7, 123-133 https://doi.org/10.1002/(SICI)1099-095X(199603)7:2<123::AID-ENV162>3.0.CO;2-S