In a balanced two-way layout for a count response, let yijk be observation k at level i of factor A and level j of factor B, k = 1,…, n. Formulate a Poisson loglinear main-effects model for {????ijk = E(yijk)}. Find the likelihood equations, and show that {????ij+ = ∑

k E(yijk)} have fitted values

{ ̂????ij+ = (yi++y+j+)∕y+++}.