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New linear model for optimal cluster size in cluster sampling

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Shukla A. K., Yadav S. K.
Statistics in Transition new series
|
2020
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vol. 21
|
issue 2
189-200
EN
In this paper, a nonlinear model is proposed for improving the relationship between the size of a cluster and the variance within the cluster. This model describes the most appropriate functional relation between the within-cluster variance and the cluster size. Through this model, we can obtain the optimum size of a cluster and an estimate of the variance between clusters. The proposed model leads to further improvement in the estimation of the optimum size of a cluster, and the formula for the determination of optimum cluster size leads to explicit solution of models.
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