The Path Matrix
Permanent Note Created: 01-07-2022 16:45
Once The direct effects matrix is defined, the paths through the model are needed. These are used to calculcate the indirect effects. The path matrix is identical in its set up as the direct effects matrix; however, now the values reflect the steps in the paths. For instance, in the following matrix the steps are the effect of A on B and then the effect of B on C. There can be multiple paths, in more complicated models, and this matrix can have multiple layers. For each defined path, one per layer, the result becomes a value that needs to be bootstrapped.
graph LR;
A-->|a| B;
B-->|b| C;
A-->|c'| C;| A | B | C | |
|---|---|---|---|
| A | 0 | 0 | 0 |
| B | 1 | 0 | 0 |
| C | 0 | 2 | 0 |
The calculated path in this example is: (A–>B) times (B–>C)
