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The analysis of crop cultivar breeding and evaluation trials: an overview of current mixed model approaches

Published online by Cambridge University Press:  20 September 2005

A. B. SMITH ,
B. R. CULLIS  and
R. THOMPSON
A. B. SMITH
Affiliation:
Wagga Wagga Agricultural Institute, Private Mail Bag, Wagga Wagga, NSW 2650, Australia
B. R. CULLIS
Affiliation:
Wagga Wagga Agricultural Institute, Private Mail Bag, Wagga Wagga, NSW 2650, Australia
R. THOMPSON
Affiliation:
Rothamsted Research, Harpenden, Hertfordshire AL5 2JQ, UK
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Abstract

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The analysis of series of crop variety trials has a long history with the earliest approaches being based on ANOVA methods. Kempton (1984) discussed the inadequacies of this approach, summarized the alternatives available at that time and noted that all of these approaches could be classified as multiplicative models. Recently, mixed model approaches have become popular for the analysis of series of variety trials. There are numerous reasons for their use, including the ease with which incomplete data (not all varieties in all trials) can be handled and the ability to appropriately model within-trial error variation. Currently, the most common mixed model approaches for series of variety trials are mixed model versions of the methods summarized by Kempton (1984). In the present paper a general formulation that encompasses all of these methods is described, then individual methods are considered in detail.

Type
Centenary Review
Information
The Journal of Agricultural Science , Volume 143 , Issue 6 , December 2005 , pp. 449 - 462
Copyright
2005 Cambridge University Press