When sample sizes are equal the parameters
of the alternative parameterization are restricted by
. For unequal sample sizes, the most natural restriction is . Use this to show that
What is E(MSTr) when H0 is true? [This expectation is correct if
is replaced by the restriction
or any other single linear restriction on the ai’s used to reduce the model to I independent parameters), but
simplifies the algebra and yields natural estimates for the model parameters (in particular,
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