Question: a. Verify the relation in (14.9) and the expression for , in (14.7). b. Verify the algebraic expression for d in (14.10). c. Show that

a. Verify the relation in (14.9) and the expression for , in (14.7).

b. Verify the algebraic expression for d in (14.10).

c. Show that T12 +12 is given by (+12)/na. Verify the expressions for 12 in (14.11) is given by (+2)/na.

d. Verify the expressions for the individual elements of Win (14.12) and (14.13).

e. Use the general results on the expected values of quadratic forms to establish the expected values in (14.14).

f. Use the expected mean squares from the AOV table for the random model to verify the expression for in (14.16). Verify, using the quadratic forms for the estimates, that (14.18) and (14.19) give the correct numerator sums of squares for the test statistics.

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