Brian Cullis

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Partial compositing example from Smith et al. Single trial analysis Dy = DXτ +DZ g u g +DZ p u p +De • Data has been “averaged” commensurate with compositing process, ie. started with n plots and have reduced to s samples (a mixture of composite and individual plot samples) • D is s×n averaging matrix • Our example: n = 180, s = 120 and we have 60 samples that are composites of 2 plots and 60 that are individual plot samples • Model involves non-standard design matrices: use “grp” facility in ASReml-R VSN Applied Statistics Conference 2011 Modelling variance structures of multi-term effects
Partial compositing example from Smith et al. Single trial analysis • Model fitted to example data (individual reps only): kel.asr1
Page 1 and 2: Modelling variance structures of mu
Page 3 and 4: Linear mixed model The model Let y
Page 5 and 6: R-structures General Framework •
Page 7 and 8: Separability Direct products in R-s
Page 9 and 10: Separability Direct products in G-s
Page 11 and 12: Syntax for multi-term variance mode
Page 13 and 14: Multi-site toy example Recall: mult
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Page 17 and 18: Salinity tolerance in bread wheat P
Page 19 and 20: Salinity tolerance in bread wheat M
Page 21 and 22: Salinity tolerance in bread wheat M
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Brian Cullis

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