New linear model for optimal cluster size in cluster sampling


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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability


ISSN: 1234-7655
eISSN: 2450-0291





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VOLUME 21 , ISSUE 2 (June 2020) > List of articles

New linear model for optimal cluster size in cluster sampling

Alok Kumar Shukla / Subhash Kumar Yadav *

Keywords : Non-linear models, optimum cluster size, four-parameter model, variance function

Citation Information : Statistics in Transition New Series. Volume 21, Issue 2, Pages 189-200, DOI:

License : (CC BY-NC-ND 4.0)

Received Date : 26-September-2019 / Accepted: 25-March-2020 / Published Online: 01-June-2020



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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