search for: mu_ib

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2001 Oct 17
3
Type III sums of squares.
...the cell means be mu_ij. (In the overparameterized notation, mu_ij = mu + alpha_i + beta_j + gamma_ij.) The hypothesis being tested is H_0: mu_1.-bar = mu_2.-bar = ... = mu_a.-bar where factor A has a levels, and ``mu_i.-bar'' means the average (arithmetic mean) of mu_i1, mu_i2, ..., mu_ib. (Note --- factor B has b levels.) I.e. the hypothesis is that there is no difference, on average, between the levels of A, the average being taken over the levels of B. Now taking such an average may not be a sensible thing to do, but it is perfectly well-defined, and thus a ***meaningful*** hyp...