Affiliation:
1. Biostatistics Unit (340c), Institute of Crop Science University of Hohenheim Stuttgart Germany
Abstract
The subject of this work is the allocation of trials to subregions in crop variety testing in the case of correlated genotype effects. A solution for computation of optimal allocations using the OptimalDesign package in R is proposed. The obtained optimal designs minimize linear criteria based on the mean squared error matrix of the best linear unbiased prediction of the genotype effects. The proposed computational approach allows for any kind of additional linear constraint on the designs. The results are illustrated by a real data example.
Reference15 articles.
1. Block designs for random treatment effects
2. Planning incomplete block experiments when treatments are genetically related;SBueno Filho J. S.;Biometrics,2003
3. Minimax designs in linear regression models;Dette H.;The Annals of Statistics,1995
4. Average information residual maximum likelihood in practice
5. Construction of optimal designs in random coefficient regression models;Gladitz J.;Mathematische Operationsforschung Und Statistik, Series Statistics,1982