Consider the following four covariance matrices that apply to clusters having four responses per cluster:
P

Q

R

S

a. Which of the above matrices are heterogeneous (as compared to homogeneous) covariance matrices?
b. What is the correlation structure defined by each of the above matrices?

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2.50 125 0.625 0.3125 1.25 2.50 25 0.625 0.625 1.25 2.50 25 0.3125 0.625 1.25 2.50 4.00 1.952 .72 593 1.952 4.50 1826 1690 1.721 1.826 3.50 1.491 1.593 .69049 3.00 4.00 1.84 1.84 1.84 1.84 4.00 1.84 1.84 1.84 1.84 4.00 1.84 1.84 1.84 184 4.00 4.00 1.732 1.061 0.234 1.732 3.00 1837 0.810 1.06 .837 4.50 984 0.234 0.810 984 3.50