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b_i
2010 Oct 18
0
specifying lme function with a priori hypothesis concerning between-group variation in slopes
I want to specify a 2-level mixed model using the lme function in order to
test an a priori hypothesis about the between-group values of the slopes but
don't know how to do this . Here is the problem.
Consider first the case of a single group. The model is: Y_i= a +bX_i +
error where I indexes the different values of X and Y in this group . The
a priori hypothesis of the slope is: b=K. This is easily tested with a
t-test (b-K=0).
Now imagine that there are j groups. For each group j the model is: Y_ij=
a_j + b_jX_ij + error. Both the intercepts (a) and the s...