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Biometrika 1995 82(3):655-659; doi:10.1093/biomet/82.3.655
© 1995 by Biometrika Trust
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MISCELLANEA

Are neighbour methods preferable to analysis of variance for completely systematic designs? ‘Silly designs are silly!’

R. A. BAILEY1, J.-M. AZAÏS and H. MONOD

1 School of Mathematical Sciences, Queen Mary and Westfield College Mile End Road, London E1 4NS, U. K.
2 Laboratoire de Statistique et Probabilités, URA CNRS 745, Université Paul Sabatier 118 route de Narbonne, F-31062 Toulouse Cedex, France
3 Laboratoire de Biométrie, INRA-Versailles route de Saint-Cyr, F-78026 Versailles, France

Received for publication 1 September 1993. Revision received 1 October 1994.
  Abstract

It is shown that the usual analysis of a complete-block design is weakly valid under a range of assumptions but that more sophisticated analyses of systematic block designs may not be.

Key Words: Complete-block designs • Efficiency • Generalised least squares • Neighbour analysis • Validity


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