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New linear model for optimal cluster size in cluster sampling

Author

Listed:
  • 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 .)

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.

Suggested Citation

  • Shukla Alok Kumar & Yadav Subhash Kumar, 2020. "New linear model for optimal cluster size in cluster sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 21(2), pages 189-200, June.
    • Handle: RePEc:vrs:stintr:v:21:y:2020:i:2:p:189-200:n:1
    DOI: 10.21307/stattrans-2020-020
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    References listed on IDEAS

    as
    1. Alok K. Shukla & Subhash K. Yadav & G. C. Mishra, 2013. "A linear model for uniformity trial experiments," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(1), pages 161-170, March.
    2. Nuanpan Lawson & Chris Skinner, 2017. "Estimation of a cluster-level regression model under nonresponse within clusters," METRON, Springer;Sapienza Università di Roma, vol. 75(3), pages 319-331, December.
    Full references (including those not matched with items on IDEAS)

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