Near Optimum Allocations in Stratified Sampling
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Abstract
In this paper, we shall discuss the problem of optimum allocation of sample size to strata under the constraints of fixed total sample size and fixed total cost in a general setting. We shall also obtain near-optimum allocations for use in practice. This will result in minor loss of efficiency due to deviations from the optimum. We shall also provide illustrative examples.
AMS Subject Classification
62D05Keywords
Stratified sampling Optimum allocation Super population model Near-optimum allocations Deviations from the optimumPreview
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References
- Bankier, M.D., 1988. Power allocations: determining sample sizes for sub-national areas. The Amer. Stat., 42, 174–177.Google Scholar
- Cochran, W.G., 1977. Sampling Techniques. 3rd edition, Wiley, New York.zbMATHGoogle Scholar
- Government of India, 2008a. Household consumer expenditure in India, 2005–06. NSS 62nd Round, January, 2008.Google Scholar
- Government of India, 2008b. Household consumer expenditure in India, 2006–07. NSS 63rd Round, October, 2008.Google Scholar
- Gupt, B.K., Rao, T.J., 1997. Stratified PPS sampling and allocation of sample size. J. Ind. Soc. Agr. Stat., 50, 199–208.Google Scholar
- Hanurav, T.V., 1965. Optimum Sampling Strategies and Some Related Problems. Ph.D. thesis submitted to the Indian Statistical Institute.Google Scholar
- Lehtonen, R., Pahkinen, E., 2004. Practical Methods for Design and Analysis of Complex Surveys. 2nd edition, Wiley.zbMATHGoogle Scholar
- Mahalanobis, P.C., 1944. On large scale sample surveys. Phil. Trans. Roy. Soc., London, Series B, 231, 329–451.CrossRefGoogle Scholar
- Murthy, M.N., 1967. Sampling Theory and Methods. Statistical Publishing Society, Calcutta.zbMATHGoogle Scholar
- Neyman, J., 1934. On the two different aspects of the representative method: the method of stratified sampling and the method of purposive selection. J. Roy. Stat. Soc., 97, 558–606.CrossRefGoogle Scholar
- Pukelsheim, F., 1997. Efficient rounding of sampling allocations. Stat. Prob. Lett., 35, 141–143.MathSciNetCrossRefGoogle Scholar
- Rao, T.J., 1977. Optimum allocation of sample size and prior distributions: a review. Int. Stat. Rev., 45, 173–179.MathSciNetCrossRefGoogle Scholar
- Rao, T.J., 1984. Allocation of sample size to strata and related problems. Biom. J., 26, 517–526.CrossRefGoogle Scholar
- Rao, T.J., 2001. Some problems in stratified sampling. Bull. Int. Stat. Inst., 53.Google Scholar
- Särndal, C.E., Swenson, B., Wretman, J., 1991. Model Assisted Survey Sampling. Springer-Verlag.zbMATHGoogle Scholar
- Tschuprow, A.A., 1923. On the mathematical expectation of the moments of frequency distributions in the case of correlated observations. Metron, 2 (3 and 4), 461–493, 646–683.Google Scholar
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