New linear model for optimal cluster size in cluster sampling

• Authors: Alok Kumar Shukla , Subhash Kumar Yadav

Abstracts

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.

Keywords

EN

Non-linear models; optimum cluster size; four-parameter model; variance function

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2020
• Volume: 21
• Issue: 2
• Pages: 189-200

Contributors

author

Alok Kumar Shukla

• Department of Statistics, D. A-V. College, U.P., India

• https://orcid.org/0000000197977894

author

Subhash Kumar Yadav

• Department of Statistics, Babasaheb Bhimrao Ambedkar University, U.P., India

• https://orcid.org/0000000271818075

Identifiers

DOI

10.21307/stattrans-2020-020

Biblioteka Nauki

1363544