EXAMPLE 12.20

The contrast coefficients. In our example the coefficients in the contrasts are

a₁ = −0.5, a₂ = −0.5, a₃ = 0.5, a₄ = 0.5, a₅ = 0, for ψ₁

and

a₁ = 0, a₂ = 0, a₃ = 0.5, a₄ = 0.5, a₅ = −1, for ψ₂

where the subscripts 1, 2, 3, 4, and 5 correspond to the profiles listed in Example 12.17, respectively. In each case the sum of the a_i is 0. We look at inference for each of these contrasts in turn.