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A popular alternative parameterization of the one way layout is the following. Let μ = 1/n
and define αi = μi − μ. This makes E(Yij) = μ + αi .
a. Prove that
b. Prove that the M.L.E. of αi is i+ − ++.
c. Prove that the null hypothesis H0 in (11.6.5) is equivalent to α1 = . . . = αp = 0.
d. Prove that the mean of S2Betw is (p − 1)σ2 + |
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