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Calibration for Spatial Stratified Sampling Design

공간층화표본설계에 대한 보정

  • Byun, Jong-Seok (Department of Statistics and Information, Hanshin University) ;
  • Son, Chang-Kyoon (Korea Institute for Health and Social Affairs) ;
  • Kim, Jong-Min (Division of Science and Mathematics, University of Minnesota)
  • Published : 2010.01.31

Abstract

The sampling design for the spatial population studies needs a model assumption of a dependent relationship, where the interesting parameters can be the population mean, proportion and area. We know that the study of an interested spatial population, which is stratified by a geographical condition or shape, and the degree of distort of an estimation area is much useful. In light of this, if auxiliary information of the target variable such as wasted area contaminated by some material and the degree of distribution of animal or plants is available, then the spatial estimator might be improved through the calibration procedure. In this research, we propose the calibration procedure for the spatial stratified sampling in which we consider the one and two-dimensional auxiliary information.

일반적으로 공간모집단에서의 표본설계에 대한 연구는 가정된 종속관계에 대해 설정된 모형 하에서 이루어지며, 이때 추정하고자 하는 모수들은 평균, 비율 그리고 면적 등이 될 수 있다. 본 연구에서는 연구대상이 지리적 조건이나, 모양에 의해 층화된 모집단에 대해 영역을 추정하고자 할 때, 공간적으로 관련이 있는 보조변수를 활용하여 가중치 조정방법을 제시하고, 이에 대한 효율성을 검증하고자 한다. 즉, 공간 추정량에 대한 보정추정과정을 적용하여 가중치 조정을 통한 추정량을 개선하고, 수치적 예제를 통해 제안된 추정량이 효율적임을 제시하였다.

Keywords

References

  1. Bartley, P., Fox, B. L. and Schreage, L. E. (1983). A Guide to Simulation, Springer-Verlag, New York.
  2. Bellhouse, D. R. (1981). Area estimation by point-counting techniques, Biometrics, 37, 303-312. https://doi.org/10.2307/2530419
  3. Cressie, N. A. C. (1993). Statistics for Spatial Data, John Wiley & Sons, New York.
  4. Deville, J. C. and Sarndal, C. E. (1992). Calibration estimators in survey sampling, Journal of the American Statistics Association, 87, 376-382. https://doi.org/10.2307/2290268
  5. Koop, J. C. (1990). Systematic Sampling of two-dimensional surfaces and related problems, Communication in Statistics-Theory and Methods, 9, 1701-1750.
  6. Quenouille, M. N. (1949). Problems in plane sampling, The Annals of Mathematical Statistics, 20, 355-375. https://doi.org/10.1214/aoms/1177729989
  7. Thompson, S. K. (1990). Adaptive cluster sampling, Journal of the American Statistics Association, 85, 1050-1059. https://doi.org/10.2307/2289601
  8. Thompson, S. K. (1991). Adaptive cluster sampling: Design with primary and secondary units, Biometrics, 47, 1103-1115. https://doi.org/10.2307/2532662
  9. Thompson, S. K. and Seber, G. A. F. (1996). Adaptive Sampling, Wiley, New York.