New linear model for optimal cluster size in cluster sampling

Shukla Alok Kumar () and Yadav Subhash Kumar ()
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Shukla Alok Kumar: Department of Statistics, D. A-V. College, Kanpur, - 208001, U.P., India .
Yadav Subhash Kumar: Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, - 226025, U.P., India .

Statistics in Transition New Series, 2020, vol. 21, issue 2, 189-200

Abstract: 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.

Keywords: Non-linear models; optimum cluster size; four-parameter model; variance function. (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:21:y:2020:i:2:p:189-200:n:1

DOI: 10.21307/stattrans-2020-020

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