Thank you - both the book and 2011 paper are excellent resources that have been extremely useful in this and other projects
I had considered the 2011 example closer to my purpose because of continuous Y, whereas the example in the book and Table 8.35 focused on a binary Y
1) instead of the above, would there be value added in estimating causal effects for each of the m-1 effects (i.e., a TNIE, PNDE etc. for each of the target categories vs. the referent category of the nominal variable, so for a 4-category nominal variable there would be three TNIEs and sets of causal effects)?
2) is inclusion of the "exp(g03+g13)" terms to the calculation of d0 and d1 (the denominator from the book/2011 formulae) correct?
3) is inclusion of the "(b04+b14)*p41" terms to the calculation of t11 and t01 (the terms representing the expectation values from the book/2011 formulae) correct?
4) is inclusion of the "(b04)*p41" terms to the calculation of t01 and t00 (expectation values) correct?
I was thinking that there would be "causal effects" for each comparison, between a target and a referent category, such that it would be meaningful to estimate whether choosing one response option of the nominal mediator vs. a referent category would transmit the effect of X on Y But this makes sense, thank you.
May I ask then, are calculations for the d0, d1, t11, t10, t01, and t00 from the first post appropriate?