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Type III contrast weights derived from Doolittle factorization of X′X in the example unbalanced dataset.
| μ | α1 | α2 | β1 | β2 | γ11 | γ12 | γ21 | γ22 | |
|---|---|---|---|---|---|---|---|---|---|
| Constant | 1 | 0.5 | 0.5 | 0.5 | 0.5 | 0.25 | 0.25 | 0.25 | 0.25 |
| A | 0 | 1 | −1 | 0 | 0 | 0.5 | 0.5 | −0.5 | −0.5 |
| B | 0 | 0 | 0 | 1 | −1 | 0.5 | −0.5 | 0.5 | −0.5 |
| A × B | 0 | 0 | 0 | 0 | 0 | 1 | −1 | −1 | 1 |
Here the weights are derived after reduction of X to unique rows.
