Question: 29. When sample sizes are equal (Ji J), the parameters a1, a2, . . . , aI of the alternative parameterization are restricted by

29. When sample sizes are equal (Ji  J), the parameters a1, a2, . . . , aI of the alternative parameterization are restricted by For unequal sample sizes, the most natural restriction is Jiai  0. Use this to show that What is E(MSTr) when H0 is true? [This expectation is correct if Jiai  0 is replaced by the restriction

ai  0 (or any other single linear restriction on the ai s used to reduce the model to I independent parameters), but Jiai  0 simpli es the algebra and yields natural estimates for the model parameters (in particular, ).]

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