A popular alternative parameterization of the one way layout is the following Let 1 n and define i i This makes E(Yij) i a Prove that b Prove that the M L E of i is i c Prove that the null hypothesis H0 in (11 6 5) is equivalent to 1 p 0 d Prove that the mean of S2Betw is (p 1)2

Question: A popular alternative parameterization of the one way layout is the following. Let = 1/n and define i = i . This makes

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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