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Acta Agron Sin ›› 2009, Vol. 35 ›› Issue (11): 1981-1989.doi: 10.3724/SP.J.1006.2009.01981

• CROP GENETICS & BREEDING·GERMPLASM RESOURCES·MOLECULAR GENETICS • Previous Articles     Next Articles

Analysis of Crop Variety Regional Trials Based on Selection of Covariance Structures

HU Xi-Yuan,YOU Hai-Lei,REN Chang-Hong,WU Dong,LI Jian-Ping   

  1. College of Agronomy，Northwest A & F University，Yangling 712100，China
  • Received:2009-02-23 Revised:2009-06-25 Online:2009-11-12 Published:2009-09-07
  • Contact: E-mail:xiyuanhu@yahoo.com.cn;Tel:029-87081390

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Abstract:

The method mainly used for analyzing crop variety regional trials is based on analysis of variance (ANOVA), which requires a homogenous variance-covariance of data. Now, other models different from the ANOVA model are available. However, the problems that how the models should be assessed and that which model is more suitable for given trial data are not solved and hence restrict the applicability of the models in practices. This paper tried to solve these problems on the basis of liner mixed models. Relations between various variance-covariance structures of linear mixed model and models available for analyzing crop regional trials were discussed. Then on the basis of analyses of the corn regional trials in northeast and north China, using the information criterion and likelihood-ratio-test, the characteristics of variance-covariance structures of regional trial data and the performance difference between the ANOVA model and the linear mixed model with optimal variance-covariance structure were assessed. The results showed that the variance-covariance of variety effect over environments was not homogeneous as defined in the ANOVA model, but heterogeneous in all the considered trials. The ratio of the same variety contrast with significant difference between the ANOVA model and the optimal linear mixed model averagely reached 86%. Also, there was obvious difference in the yield ranking of varieties between the two models. The error of variety effect estimation in the optimal linear mixed model was smaller than that in the ANOVA model.

Key words: Crop variety, Regional trial, Linear mixed model, Covariance

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