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Optimum stratification

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Summary

This paper considers the problem of optimum stratification on a concomitant variablex when the form of the regression of the estimation variabley on the concomitant variablex as also the form of the variance functionV(y|x) are known. Minimal equations giving optimum strata boundaries have been obtained for Neyman and proportional allocations. Since the minimal equations cannot be solved easily, various methods of finding approximate solutions have been given. A comparison of approximate solutions with the exact solutions is made for certain density functions.

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Authors and Affiliations

  1. Panjab Agricultural University, Panjab, India

    Ravindra Singh & B. V. Sukhatme

  2. Iowa State University, Iowa, USA

    Ravindra Singh & B. V. Sukhatme

Authors
  1. Ravindra Singh
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  2. B. V. Sukhatme
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Cite this article

Singh, R., Sukhatme, B.V. Optimum stratification. Ann Inst Stat Math 21, 515–528 (1969). https://doi.org/10.1007/BF02532275

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  • DOI: https://doi.org/10.1007/BF02532275

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