USE OF A NON-LINEAR MODEL FOR IMPROVED ESTIMATION IN CLUSTER SAMPLING
Keywords:
optimum cluster size, Non-linear regression, variance function, Efficiency.Abstract
Several researchers have attempted to develop a general law to predict a general relationship between variance within cluster S2w and size of the cluster M for purposes like determination of optimum cluster size etc. In the present study a non-linear model has been suggested for describing the relationship between S2w and M which has shown improvement over existing models and results have also been verified with the help of an example.
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References
Cochran,W.G.(1999). Sampling Technques. 3rd Ed., John Wiley & Sons.
Draper, N.R. and Smith, H.(1998). Applied regression analysis. 3rd Ed., John Wiley
& Sons.
Hansen, M.H. and Hurwitz, W.N. (1942). Relative efficiencies of various sampling
units in population enquiries. J A S A., 37, p. 89-94.
Hendricks, W.A. (1944). The relative efficiencies of groups of farms as sampling
units. J A S A., 39, p. 366-376.
Jessen, R.J. (1942). Statistical investigation of sample survey for obtaining farm
facts. Iowa Agricultural Experiment Station, Research Bulletin, 304.
Mahalanobis, P.C. (1940). A sample survey of acreage under jute in Bengal.
Sankhya, 4, p. 511-530.
Mahalanobis,P.C. (1942).General report on the sample census of area under jute in
Bengal. Indian Central Jute Committee.
McVay, F.E. (1947) Sampling methods applied to estimating numbers of
commercial orchards in a commercial peach area. J A S A., 42, p. 533-540.
Smith, H.F. (1938). An empirical law describing heterogeneity in the yields of
agricultural crops. J. Agr, Sci., 28, p.1-23.
Sukhatme,P.V., Sukhatme, B.V., Sukhatme S. and Asok, C.(1984). Sampling
theory of surveys with applications. Indian Society of Agricultural Statistics.
