응용통계연구 (The Korean Journal of Applied Statistics)

  • 제14권1호
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  • Pages.81-90
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  • 2001
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

P-수준교체표본에서 교체그룹내 상관관계를 고려한 일반화 복합추정량

Generalized Composite Estimator with Intraclass Correlation in p-level Rotation Sampling

  • 발행 : 2001.03.01
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⟨ 이전 논문 다음 논문 ⟩

초록

모집단의 변화를 효과적으로 추정하기 위한 반복조사 방법으로 겨체표본조사를 고려할 수 있다. 교체표본조사는 크게 일수준교체표본조사와 다수준교체표본조사로 나누어지며 모집단의 특성, 특성의 변화를 추정하기 위하여 복합추정량을 사용하고 있다. 본 논문에서는 다수준교체표본조사의 경우 교체그룹내 표본개체들의 상관관계를 고려한 일반화복합추정량과 추정량의 분산을 최소화시키는 최적계수를제시하였다. 또한 수치예에서는 교체그룹내 표본개체의 수, 교체그룹내 상관정도의 변화에 따라 표본개체들의 상관관계를 고려한 일반화 복합추정량의 효율성을 제시하였다.

One of the Repeated survey which estimates variability of population, we can be consider rotation sample survey. There are two kinds of rotation sample survey - onelevel rotation sample survey and multi-level rotation sample survey. In rotation sample survey, Composite estimator is used to measure level or level change of the population. This study suggests Generalized Composite estimator as considering intraclass correlation in multi-level rotation sample survey, and optimal weight minimizing variance of estimator. Numerical example shows efficiency of Generalized Composite estimator as considering intraclass correlation according to the sample unit and change degree of intraclass correlation in the rotation group.

키워드

참고문헌

  1. Journal of the Royla Statistical Society Series B 35 A Stochastic Model for Repeated Surveys Blight, B. J. N.;Scott, A. J.
  2. Proceedings of the American Statistical Association, Section on Social Statistics Alternative Estimators to the Current Composite Estimator Breau, P.;Ernst, L. R.
  3. Survey Methodology 16 Variance Fomulae for Composite Estimators Rotation Designs Cantwell, P. J.
  4. Annals of Mathematical Statistics 26 Rotation Sampling Eckler, A. R.
  5. Matrices with Applications in Statistics Graybill, F. A.
  6. Communications in Statistics 1 Composite Estimation in Two Cycle Sampling Designs Graham, J. E.
  7. Proceedings of the American Statistical Association, Section on Social Statistics A Multivariate Approach to Estimation in Periodic Sample Survey Gurney, M.;Daly, J. F.
  8. Working Paper for 1994 American Statistical Associations Meetings The Redesign of the Survey of Income and Program Participation Huggins, V. J.;Fischer, D. P.
  9. Journal of the Royal Statistical Society Series B 42 Best Linear Unbiased Estimators for Repeated Surveys Jones, R. G.
  10. Journal of the American Statistical Association 59 Retation Design for Sampling on Repeated Occasions Rao, J. N. K.;Graham, J. E.
  11. Journal of the American Statistical Association 74 Composite Estimation in Finite Populations Wolter, K. M.