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Biometrika 1986 73(2):279-287; doi:10.1093/biomet/73.2.279
© 1986 by Biometrika Trust
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A neighbour model for field experiments

E. R. WILLIAMS

CSIRO Division of Mathematics and Statistics Canberra, A.C.T. 2601, Australia

A neighbour-type model is proposed as an alternative to that of Wilkinson et al. (1983) for the analysis of field variety trials. The model assumes that the varieties are grouped into complete replicates and that the plots within a replicate are side by side. A method for the estimation of the variance parameters is developed as an extension of the procedure commonly used in incomplete block designs. The model is investigated using data from the 166 cereal variety trials studied by Patterson & Hunter (1983). Results show worthwhile gains in efficiency over conventional incomplete block analysis.

Key Words: Efficiency • Error rule • Field experiment • Generalized least squares • Incomplete block design • Neighbour analysis • Variance model • Variety trial


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 Agron. J.Home page
T. Wu and P. Dutilleul
Validity and Efficiency of Neighbor Analyses in Comparison with Classical Complete and Incomplete Block Analyses of Field Experiments
Agron. J., July 1, 1999; 91(4): 721 - 731.
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