Classical multivariate analysis rests on observations ( ) Y n k × having n k > mutually independent rows, with dispersion matrix as a direct product ( ) n V Y I = ⊗ Σ , supported in turn by a rich literature.That independence may fail is modeled here on taking the rows of Y to be exchangeably dependent such that ( ) V Υ = Ω ⊗ Σ where exchangeability rests on the choice for ( ) n n Ω × .Three choices are considered; each interjects additional parameters into the model; and it remains to ask which, if any, of findin…