Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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A composite estimator for stratified two stage cluster sampling

  • Lee, Sang Eun (Department of Applied and Information Statistics, Kyonggi University) ;
  • Lee, Pu Reum (Department of Statistics, Hankuk University of Foreign Studies) ;
  • Shin, Key-Il (Department of Statistics, Hankuk University of Foreign Studies)
  • Received : 2015.10.13
  • Accepted : 2016.01.13
  • Published : 2016.01.31
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Abstract

Stratified cluster sampling has been widely used for effective parameter estimations due to reductions in time and cost. The probability proportional to size (PPS) sampling method is used when the number of cluster element are significantly different. However, simple random sampling (SRS) is commonly used for simplicity if the number of cluster elements are almost the same. Also it is known that the ratio estimator produces a good performance when the total number of population elements is known. However, the two stage cluster estimator should be used if the total number of elements in population is neither known nor accurate. In this study we suggest a composite estimator by combining the ratio estimator and the two stage cluster estimator to obtain a better estimate under a certain population circumstance. Simulation studies are conducted to compare the superiority of the suggested estimator with two other estimators.

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References

  1. Cochran WG (1977). Sampling Technique, John Wiley and Sons, New York.
  2. Hwang HJ and Shin KI (2013). An improved composite estimator for cut-off sampling, Communications for Statistical Applications and Method, 20, 367-376. https://doi.org/10.5351/CSAM.2013.20.5.367
  3. Lee SE, Jin Y, and Shin KI (2015). A Note on complex two-phase sampling with different sampling units of each phase, Communications for Statistical Applications and Method, 22, 435-443. https://doi.org/10.5351/CSAM.2015.22.5.435
  4. Quenouille LLE MH (1949). The joint distribution of serial correlation coefficients, The Annals of Mathematical Statistics, 20, 561-571. https://doi.org/10.1214/aoms/1177729948
  5. Rao JNK (2003). Small Area Estimation, Wiley-Interscience.
  6. Salvati N, Chandra H, Ranalli MG, and Chambers R (2010). Small area estimation using a non-parametric model-based direct estimator, Computational Statistics and Data Analysis, 54, 2159-2171. https://doi.org/10.1016/j.csda.2010.03.023
  7. Tukey JW (1958). Bias and confidence in not quite large samples, Annals of Mathematical Statistics, 29, 614. https://doi.org/10.1214/aoms/1177706647
  8. Wolter KM (1985). Introduction to Variance Estimation, Springer, New York.