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Biometrika 2004 91(4):913-927; doi:10.1093/biomet/91.4.913
© 2004 by Biometrika Trust
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Coordination, combination and extension of balanced samples

Yves Tillé1 and Anne-Catherine Favre2

1 Groupe de Statistique, Université de Neuchâtel, Espace de l'Europe 4, Case postale 805, 2002 Neuchâtel, Switzerland yves.tille{at}unine.ch, 2 Département de hydrologie statistique, Institut national de la recherche scientifique, 2800 rue Einstein, C.P. 7500 Sainte-Foy (Québec), Canada G1V 4C7 anne-catherine_favre{at}inrs-ete.uquebec.ca

The cube method allows the selection of balanced samples on several auxiliary variables with equal or unequal inclusion probabilities. Practical implementation of the cube method has raised questions concerning the selection of a multi-phase balanced sampling design, the rebalancing of an unbalanced sampling design by completing it with another sample, the selection of a balanced sample from an unbalanced sample and the coordination of balanced samples. This paper provides a complete solution of all these problems.

Key Words: Cube method; Multi-phase sampling; Rotation; Sample coordination; Unequal probability sampling

Received January 2002. Revised August 2003.


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