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Selecting optimal balanced samples using auxiliary information with the Cube Method

Aritz Adin Urtasun
Departamento de Estadística e Investigación Operativa
Universidad Pública de Navarra
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Inmaculada Gil Gil
Area de Metodología Estadístico-Matemática, Innovación e I+D
Instituto Vasco de Estadística \ Euskal Estatistika Erakundea

  • Abstract
    Eustat, aware of the growing demand for increasingly disaggregated quality statistics, organised the 23rd International Statistics Seminar in 2010, with the title “Balanced and Efficient Sampling: The Cube Method”. Eustat aims to redefine current designs to obtain samples that provide quality estimators for more disaggregated areas or domains at the same or a similar cost. In this paper, we explain the Cube Method for selecting balanced samples, a method that allows us to use all the available auxiliary information for selecting optimal balanced random samples keeping the original design of the sample. The outcomes of the research have been implemented in several statistical operations in 2010-2012 Basque Statistics Plan. One of the last results will be shown here.
  • Keywords: Sampling design, inclusion probabilities, Horvitz-Thompson estimator, balanced sampling, Cube Method, stratification, calibration.
  • AMS Subject classifications: 62D05.