Abstract
A modified Gaussian model with three-level crossed and nested random effects is used to describe circadian patterns of serum prolactin concentrations in a crossover experiment. Testing of three-way treatment effects and carryover effects are incorporated with the model building process as is the within-group correlation. We found that the interaction between environment and parity had significant effect (p<0.05) on both initial serum prolactin concentration and range of the prolactin concentration. There was no significant effect of recombinant bovine somatotropin (rbST) on either the initial value or concentration of serum prolactin. The inclusion of carryover effects in the model significantly improves the fit of the multilevel nonlinear mixed effects model. We present in detail a general approach to nonlinear crossed random effects model building and three-way treatment effects testing.
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