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On a problem of allocation of sample size in stratified random sampling. (English) Zbl 0606.62009
We consider the problem of judging how good an actual compromise allocation is compared to Neyman’s optimum allocation for the case of stratified random sampling by obtaining a bound to the ratio of the corresponding variances. A solution to a more general version of the problem considered by W. G. Cochran [Sampling techniques. 3rd ed. (1977; Zbl 0353.62011)] and the second author [Biom. J. 26, 517-526 (1984; Zbl 0563.62006)] has been obtained and the results have been empirically demonstrated.
MSC:
62D05 Sampling theory, sample surveys
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References:
[1] Chatterjee, J. Amer. Statist. Assoc. 63 pp 530– (1968)
[2] 1977: Sampling Techniques. Wiley, N. Y., 3rd edition.
[3] Neyman, J. Roy. Statist. Soc. 97 pp 558– (1934)
[4] Rao, Biom. J. 26 pp 517– (1984)
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