A popular alternative parameterization of the one way layout is the following. Let = 1/n and
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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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Related Book For
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
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