Longitudinal Analysis

2. Suppose that we want to use an Analyzing Response Profiles model for modeling the response of three different groups measured at 3 times.

1. Define avector of parameters in terms of the group means at each time. Write downXifor a unit from the second group (make the dimensions of the matrix clear).
2. Define the hypotheses of interest in order to test parallelism (in terms ofs). Also identify a validLmatrix to put the hypothesis in the formH0:L=0.
3. Define the hypotheses of interest in order to test for a group effect (in terms ofs). Also identify a validLmatrix to put the hypothesis in the formH0:L=0.
4. Define the hypotheses of interest in order to test for a time effect (in terms ofs). Also identify a validLmatrix to put the hypothesis in the formH0:L=0.