On Estimation of Population Averages on the Basis of Cluster Sample

  • Janusz Wywiał
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


Clustering methods are applied to improving precision of estimation of means in a fixed and finite population. The particular case of estimation of population means on the basis of sample drawn from a population partitioned into strata by means of clustering algorithms is considered by Huisman (2000) and Wywiał (1995, 1998, 2001). Here an estimator from cluster sample of a vector of population averages is considered. The accuracy of the estimator increases when the degree of the within-cluster spread increases. The precision of the vector estimator is compared with precision of simple sample means. The problem is finding such partition of a population into mutually disjoint clusters that the vector estimator from the cluster sample is more precise estimator of the population averages than the vector of simple sample means. Some clustering algorithm is proposed.


Cluster Algorithm Vector Variable Simple Sample Vector Estimator Final Partition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Janusz Wywiał
    • 1
  1. 1.Department of StatisticsUniversity of Economics in KatowiceKatowicePoland

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