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Optimum stratification in sampling with varying probabilities

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Summary

The paper considers the problem of optimum stratification on an auxiliary variablex when the units from the different strate are selected with probability proportional to the value of the auxiliary variable. Under a super-population set-up assuming the form, of the regression of the estimation variabley on the auxiliary variablex as also the form of the variance functionV(y/x), minimal equations giving optimum strata boundaries have been obtained for the Neyman allocation method. As the minimal equations cannot be solved easily, methods to find approximate solutions have been given. A numerical illustration has also been given to study the effect of optimum stratification.

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References

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Authors and Affiliations

  1. Panjab Agricultural University, 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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Singh, R., Sukhatme, B.V. Optimum stratification in sampling with varying probabilities. Ann Inst Stat Math 24, 485–494 (1972). https://doi.org/10.1007/BF02479777

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  • DOI: https://doi.org/10.1007/BF02479777

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