53. Consider the model II analogue of the two-way layout of Section 6, according to which constant (which may be zero): (i) ol/o2; (ii) o}/(nol + ( 2); (iii) aJ/(nol + ( 2). Note that the test of (i) requires n > 1, but those of (ii) and (iii) do not. [Let S} = nbE(~ ..- x...)2. SJ = naE(X.j.- X•••)2. s'E = nll(~j'- ..- X.j .+ X...)2, S2 = EEE(~jk - ~j.)2, and make a transformation to new variables Zijk (independent, normal, and with mean zero except when i = j = k = 1) such that a sl = L Zi~l' i-2 b SJ = L Z;jl' j-2 a b s'E = L L Zi~I' i-2 j-2 a b n S2 = L L [Zi~k ']