An integration of mio types of models for the analysis of genotype by
environment interaction is presented. On the one hand. the expectation
of G x E interaction is frequently modelled by regression models; on
the other hand, for deviations from these regressions, either separate
stability parameters are defined or extra components of variance are
introduced. A class of mixed models is described that contains facilit
ies for modelling expectation by regression and, in addition, has exte
nsive possibilities for dealing with heteroscedasticity. Practical asp
ects of the use of these mixed models are illustrated on a data set in
volving sugar yield in beet.