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Approximately optimum strata boundaries for two concomitant stratification variables under proportional allocation

Author

Listed:
  • Danish Faizan

    (Division of Biostatistics, Department of Population Health, School of Medicine, New York University, United States)

  • Rizvi S. E. H.

    (Division of Statistics and Computer Sciences, SKUAST-J, J&K, India)

Abstract

The proper choice of strata boundaries is an important factor determining the efficiency of the estimator of the considered characteristics of a population. In this article, the Cum Rule (i=3,4) for obtaining approximately optimum strata boundaries has been applied, taking into account a single-study variable along with two concomitant variables serving as the basis of the stratification variables. The relative efficiency of the proposed methods has been demonstrated theoretically and empirically by comparing them to a selection of already-existing methods in a simulation study with the use of the proportional allocation method.

Suggested Citation

  • Danish Faizan & Rizvi S. E. H., 2021. "Approximately optimum strata boundaries for two concomitant stratification variables under proportional allocation," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 19-40, December.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:4:p:19-40:n:2
    DOI: 10.21307/stattrans-2021-036
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    References listed on IDEAS

    as
    1. M.G.M. Khan & K.G. Reddy & D.K. Rao, 2015. "Designing stratified sampling in economic and business surveys," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(10), pages 2080-2099, October.
    2. Faizan Danish, 2018. "A Mathematical Programming Approach For Obtaining Optimum Strata Boundaries Using Two Auxiliary Variables Under Proportional Allocation," Statistics in Transition New Series, Polish Statistical Association, vol. 19(3), pages 507-526, September.
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    1. Faizan Danish & S. E. H. Rizvi, 2021. "Approximately optimum strata boundaries for two concomitant stratification variables under proportional allocation," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 19-40, December.
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