Table 1 Growth curve models for fitting distance from target for subject i at time point j
From: Effects of verbal tasks on driving simulator performance
Model | Equation |
|---|---|
1. Base | Ƴij = β0i + β1 * Timej + β2 * Timej2 + β3 * Timej3 + β4 * Timej4 + εi |
2. Intercept | β0i = ζ0 + ζ0i * Speed β0 = ζ1 β1 = ζ2 β2 = ζ3 β3 = ζ4 β4 = ζ5 Ƴij = β0i + β1 * Timej + β2 * Timej2 + β3 * Timej3 + β4 * Timej4 + εi β0i = ζ0 + ζ0i * Speed β0 = ζ1 * Conversation * Speed * SegmentType β1 = ζ2 β2 = ζ3 β3 = ζ4 β4 = ζ5 |
3. Linear | Ƴij = β0i + β1 * Timej + β2 * Timej2 + β3 * Timej3 + β4 * Timej4 + εi β0i = ζ0 + ζ0i * Speed β0 = ζ1 * Conversation * Speed * SegmentType β1 = ζ2 * Conversation * Speed * SegmentType β2 = ζ3 β3 = ζ4 β4 = ζ5 |
4. Quadratic | Ƴij = β0i + β1 * Timej + β2 * Timej2 + β3 * Timej3 + β4 * Timej4 + εi β0i = ζ0 + ζ0i * Speed β0 = ζ1 * Conversation * Speed * SegmentType β1 = ζ2 * Conversation * Speed * SegmentType β2 = ζ3 * Conversation * Speed * SegmentType β3 = ζ4 β4 = ζ5 |
5. Cubic | Ƴij = β0i + β1 * Timej + β2 * Timej2 + β3 * Timej3 + β4 * Timej4 + εi β0i = ζ0 + ζ0i * Speed β0 = ζ1 * Conversation * Speed * SegmentType β1 = ζ2 * Conversation * Speed * SegmentType β2 = ζ3 * Conversation * Speed * SegmentType β3 = ζ4 * Conversation * Speed * SegmentType β4 = ζ5 |
6. Quartic | Ƴij = β0i + β1 * Timej + β2 * Timej2 + β3 * Timej3 + β4 * Timej4 + εi β0i = ζ0 + ζ0i * Speed β0 = ζ1 * Conversation * Speed * SegmentType β1 = ζ2 * Conversation * Speed * SegmentType β2 = ζ3 * Conversation * Speed * SegmentType β3 = ζ4 * Conversation * Speed * SegmentType β4 = ζ5 * Conversation * Speed * SegmentType |