Table 3 Percent contribution to total X → Y effect (c_p)

Percent contribution of total effect to total effect (c)

\({c}_{p}\left(c\right)=\frac{{b}_{p}\left(c\right)}{|{b}_{p}\left(c\right)|}\)

c_p (c) = 1 or

c_p (c) = -1

1

Percent contribution of indirect effect (ab) to total effect (c)

\({c}_{p}\left(ab\right)=\frac{{b}_{p}\left(ab\right)}{{|b}_{p}\left(c\right)|}\)

-∞ < c_p (ab) < ∞

|c_p (ab)| ≤|c_p (c)|

2

Percent contribution of direct & remainder effect (d) to total effect (c)

\({c}_{p}\left(d\right)=\frac{{b}_{p}\left(d\right)}{|{b}_{p}\left(c\right)|}\)

-∞ < c_p (d) < ∞

|c_p (d)| ≤|c_p (c)|

3

Percent contribution of 1^st-leg effect (a) to total effect (c)

\({c}_{p}\left(a\right)=\frac{{|b}_{p}\left(a\right)|}{|{b}_{p}\left(a\right)|+{|b}_{p}\left(b\right)|}\times {c}_{p}\left(ab\right)\)

-∞ < c_p (a) < ∞

|c_p (a)| ≤|c_p (ab)|

4

Percent contribution of 2^nd-leg effect (b) to total effect (c)

\({c}_{p}\left(b\right)=\frac{{|b}_{p}\left(b\right)|}{|{b}_{p}\left(a\right)|+{|b}_{p}\left(b\right)|} \times {c}_{p}\left(ab\right)\)

-∞ < c_p (b) < ∞

|c_p (b)| ≤|c_p (ab)|

5