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. 2014 Oct 28;71(1):1–14. doi: 10.1111/biom.12248

Table 1.

The top half of this table gives the definitions of all natural path-specific effects when there are two causally ordered mediators. There are eight versions (one level-0, three level-1, three level-2, and one level-3) of each of the four effects (direct, indirect through Inline graphic alone, indirect through Inline graphic alone, and indirect through both Inline graphic and Inline graphic). The ones shown in bold are the ones defined in Sections Natural Direct Effects and Indirect Effects that Allow Decomposition. Note that the level-0 effects are those studied by Avin et al. (2005) and Albert and Nelson (2011). The bottom half of the table gives the definitions of the mediator-specific effects introduced in Section Mediator-specific natural effects

Path Level Effect Definition
0 Inline graphic Inline graphic
1 Inline graphic Inline graphic
1 Inline graphic Inline graphic
Direct 1 Inline graphic Inline graphic
(through Inline graphic) 2 Inline graphic Inline graphic
2 Inline graphic Inline graphic
2 Inline graphic Inline graphic
3 Inline graphic Inline graphic
0 Inline graphic Inline graphic
1 Inline graphic Inline graphic
Indirect 1 Inline graphic Inline graphic
through 1 Inline graphic Inline graphic
Inline graphic 2 Inline graphic Inline graphic
only 2 Inline graphic Inline graphic
2 Inline graphic Inline graphic
3 Inline graphic Inline graphic
0 Inline graphic Inline graphic
1 Inline graphic Inline graphic
Indirect 1 Inline graphic Inline graphic
through 1 Inline graphic Inline graphic
Inline graphic 2 Inline graphic Inline graphic
only 2 Inline graphic Inline graphic
2 Inline graphic Inline graphic
3 Inline graphic Inline graphic
0 Inline graphic Inline graphic
1 Inline graphic Inline graphic
Indirect 1 Inline graphic Inline graphic
through 1 Inline graphic Inline graphic
both Inline graphic 2 Inline graphic Inline graphic
and Inline graphic 2 Inline graphic Inline graphic
2 Inline graphic Inline graphic
3 Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic
Inline graphic Inline graphic