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. 2022 Sep 22;10(1):246–279. doi: 10.1515/jci-2021-0049

Table 9.

Identifying assumptions for NDE0 and NIE1

Assumptions Related to
E[Y1] and E[Y0] E[Y1M0]
Consistency
Potential outcomes Y=AY1+(1A)Y0
Ya=YaMa for a=0,1
Y=Y1m if A=1,M=m
YaMa=Yam if Ma=m
Potential mediator M=M0 if A=0
Conditional independence
Exposure-outcome AYaC for A=0,1
AY1mC
Exposure-mediator AM0C
Mediator-outcome MY1mC,A=1
M0Y1mC
Positivity
Exposure condition 0<P(A=0C)<1
Mediator values P(M=mC,A=1)>0
Range of m values the support of distribution of M given C,A=0