Table 3 Contrast coefficients for the balanced design with four exposures groups

Isotonic

2^k-1

π₁ <π₂ = π₃ = π₄

{-3 1 1 1}

π₁ = π₂ <π₃ = π₄

{-1 -1 1 1}

π₁ = π₂ = π₃ <π₄

{-1 -1 -1 3}

π₁ <π₂ <π₃ <π₄

{-3 -1 1 3}

π₁ = π₂ <π₃ <π₄

{-1 -1 0 2}

π₁ <π₂ = π₃ <π₄

{-1 0 0 1}

π₁ <π₂ <π₃ = π₄

{-2 0 1 1}

Change point

k-1

π₁ <π₂ = π₃ = π₄

{-3 1 1 1}

π₁ = π₂ <π₃ = π₄

{-1 -1 1 1}

π₁ = π₂ = π₃ <π₄

{-1 -1 -1 3}

Up/down

2

π₁ <π₂ = π₃ = π₄

{-3 1 1 1}

π₁ = π₂ = π₃ <π₄

{-1 -1 -1 3}

Single (linear)

1

π₁ <π₂ <π₃ <π₄

{-3 -1 1 3}