When a continuous variable nests or crosses with a classification variable, the design columns are constructed by multiplying the continuous values into the design columns for the classification effect (Table 19.7).
Data |
I |
A |
X(A) |
||||||
---|---|---|---|---|---|---|---|---|---|
X |
A |
|
A1 |
A2 |
X(A1) |
X(A2) |
|||
21 |
1 |
1 |
1 |
0 |
21 |
0 |
|||
24 |
1 |
1 |
1 |
0 |
24 |
0 |
|||
22 |
1 |
1 |
1 |
0 |
22 |
0 |
|||
28 |
2 |
1 |
0 |
1 |
0 |
28 |
|||
19 |
2 |
1 |
0 |
1 |
0 |
19 |
|||
23 |
2 |
1 |
0 |
1 |
0 |
23 |
This model estimates a separate intercept and a separate slope for X within each level of A.