New linear model for optimal cluster size in cluster sampling
New linear model for optimal cluster size in cluster sampling
Author(s): Alok K. Shukla, Subhash Kumar YadavSubject(s): Business Economy / Management
Published by: Główny Urząd Statystyczny
Keywords: Non-linear models; optimum cluster size; four-parameter model; variance function
Summary/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.
Journal: Statistics in Transition. New Series
- Issue Year: 21/2020
- Issue No: 2
- Page Range: 189-200
- Page Count: 12
- Language: English