. Author manuscript; available in PMC: 2011 Jun 1.

Published in final edited form as: Stat Methods Med Res. 2009 Jul 16;19(3):317–343. doi: 10.1177/0962280209105013

Table 1.

Distribution of the linear combination (γ₅ + γ₆O₂ + γ₇A₁)

(O₂, A₁) cell

cell probability (averaged over O₁)

value of the linear combination

(1, 1)

q_{1} \equiv \frac{1}{4} (expit (δ_{1} + δ_{2}) + expit (- δ_{1} + δ_{2}))

f₁ ≡γ₅ + γ₆ + γ₇

(1, −1)

q_{2} \equiv \frac{1}{4} (expit (δ_{1} - δ_{2}) + expit (- δ_{1} - δ_{2}))

f₂ ≡γ₅ + γ₆ − γ₇

(−1, 1)

q_{3} \equiv \frac{1}{4} (expit (δ_{1} - δ_{2}) + expit (- δ_{1} - δ_{2}))

f₃ ≡γ₅ − γ₆ + γ₇

(−1, −1)

q_{4} \equiv \frac{1}{4} (expit (δ_{1} + δ_{2}) + expit (- δ_{1} + δ_{2}))

f₄ ≡ γ₅ −γ₆ − γ₇