Based on a complete 16 x 16 diallel in laboratory mice we investigated
the influence of the transition from model I (no inclusion of covaria
nces between relatives) to a mixed model (consideration of the complet
e relationship matrix) on the (co)variance matrix of the estimated cro
ssbreeding parameters. The use of model I, ignoring the covariance bet
ween relatives, led to important differences in error variances of cro
ssbreed parameters compared with the mixed model. To handle large samp
le problems and the relationship matrix we propose a two step procedur
e: Step 1: Estimation of effects of genotypic constructs and their err
or (co)variance matrix (using the package PEST). Step 2: Decomposition
of effects of genotypic constructs into crossbreeding parameters. Fur
thermore, an algorithm is described to generate a part or the whole in
verse of the mixed model equations in PEST.