The design and analysis of multi-phase plant breeding experiments

Despite the importance of selection for quality characteristics in plant improvement programmes, literature on experimental design and statistical analysis for these traits is scarce. Most quality traits are obtained from multi-phase experiments in which plant varieties are first grown in a field trial then further processed in the laboratory. In the present paper a general mixed model approach for the analysis of multi-phase data is described, with particular emphasis on quality trait data that are often highly unbalanced and involve substantial sources of non-genetic variation and correlation. Also detailed is a new approach for experimental design that employs partial replication in all phases. The motivation for this was the high cost of obtaining quality trait data, thus the need to limit the total number of samples tested, but still allow use of the mixed model analysis. A simulation study is used to show that the combined use of the new designs and mixed model analysis has substantial benefits in terms of the genetic gain from selection.

[1]  M. Kenward,et al.  Small sample inference for fixed effects from restricted maximum likelihood. , 1997, Biometrics.

[2]  B. Cullis,et al.  Comparison of small-scale and large-scale extensibility of dough produced from wheat flour , 2005 .

[3]  Emlyn Williams,et al.  NON‐ORTHOGONAL BLOCK STRUCTURE IN TWO‐PHASE DESIGNS , 1988 .

[4]  G. A. Mcintyre,et al.  Design and Analysis of Two Phase Experiments , 1955 .

[5]  Robin Thompson,et al.  The analysis of quantitative traits in wheat mapping populations , 2001 .

[6]  H. D. Patterson,et al.  Recovery of inter-block information when block sizes are unequal , 1971 .

[7]  R. Gnanadesikan,et al.  Probability plotting methods for the analysis of data. , 1968, Biometrika.

[8]  D. Stram,et al.  Variance components testing in the longitudinal mixed effects model. , 1994, Biometrics.

[9]  Brian R. Cullis,et al.  Spatial analysis of field experiments : an extension to two dimensions , 1991 .

[10]  John A. Nelder,et al.  The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance , 1965, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  Robin Thompson,et al.  Analyzing Variety by Environment Data Using Multiplicative Mixed Models and Adjustments for Spatial Field Trend , 2001, Biometrics.

[12]  Brian R. Cullis,et al.  Barley malting quality: are we selecting the best? , 2003 .

[13]  Brian R. Cullis,et al.  On the design of early generation variety trials with correlated data , 2006 .

[14]  David W. Scott The New S Language , 1990 .

[15]  R. Kempton The design and analysis of unreplicated field trials , 1984 .

[16]  Robin Thompson,et al.  The analysis of crop cultivar breeding and evaluation trials: an overview of current mixed model approaches , 2005, The Journal of Agricultural Science.

[17]  Robin Thompson,et al.  The analysis of quantitative trait loci in multi-environment trials using a multiplicative mixed model , 2003 .

[18]  Brian R. Cullis,et al.  Accounting for natural and extraneous variation in the analysis of field experiments , 1997 .

[19]  Brian R. Cullis,et al.  The statistical analysis of quality traits in plant improvement programs with application to the mapping of milling yield in wheat , 2001 .

[20]  C J Brien,et al.  Analysis of variance tables based on experimental structure. , 1983, Biometrics.