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Optimum stratification for equal allocation

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Summary

The problem of optimum stratification on the auxiliary variablex for equal allocation has been considered. A cum\(f\sqrt \varphi \) rule of finding approximately optimum strata boundaries (AOSB) has been suggested. A numerical investigation into the relative efficiency of equal allocation with respect to optimum allocation has also been made.

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References

  1. Dalenius, T. (1950). The problem of optimum stratification,Skand. Aktuarietidskr.,33, 203–213.

    MathSciNet  Google Scholar 

  2. Dalenius, T. and Gurney, M. (1951). The problem of optimum stratification II,Skand. Aktuarietidskr.,34, 133–148.

    MathSciNet  Google Scholar 

  3. Dalenius, T. and Hodges, J. L. (1957). The choice of stratification points,Skand. Aktuarietidskr.,3–4, 198–203.

    MathSciNet  Google Scholar 

  4. Dalenius, T. and Hodges, J. L. (1959). Minimum variance stratification,J. Amer. Statist. Assoc.,54, 88–101.

    Article  Google Scholar 

  5. Cochran, W. G. (1961). Comparison of methods of determining strata boundaries,Bull. Int. Statist. Inst.,38, 345–358.

    Google Scholar 

  6. Hayashi, C. and Maruyama, F. (1948). On some method for stratification, (in Japanese),Research Memoir, Inst. Statist. Math.,4, 399–411.

    Google Scholar 

  7. Serfling, R. J. (1968). Approximately optimum stratification,J. Amer. Statist. Assoc.,63, 1298–1309.

    Article  MathSciNet  Google Scholar 

  8. Singh, R. and Sukhatme, B. V. (1969). Optimum stratification,Ann. Inst. Statist. Math.,21, 515–528.

    MathSciNet  Google Scholar 

  9. Singh, R. (1971). Determination of optimum strata boundaries,J. Indian Soc. Agric. Statist.,23 (Silver Jubilee Number), 115–123.

    Google Scholar 

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Singh, R., Parkash, D. Optimum stratification for equal allocation. Ann Inst Stat Math 27, 273–280 (1975). https://doi.org/10.1007/BF02504646

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  • DOI: https://doi.org/10.1007/BF02504646

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