1
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
2
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y|T)\)
\(p(Y|T)\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
\(p(Y|T)\)
Not Identifiable
Not Identifiable
\(p(Y|T)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
3
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
4
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|T,X)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
5
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
6
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
7
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
8 (Mediator)
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
\(p(Y|T,X)\)
Not Identifiable
\(p(Y|T,X)\)
\(\sum_{x\in\mathcal{X}}{p(x|T)}\sum_{t\in\mathcal{T}}{p(t)p(Y|X,t)}\)
\(\sum_{t\in\mathcal{T}}p(t)p(Y|X,t)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
9
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
\(p(Y|X)\)
Not Identifiable
Not Identifiable
\(p(Y|T)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
10
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
11 (Instrument)
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y|T,X)\)
\(p(Y|T,X)\)
\(\sum_{x\in\mathcal{X}}{p(x)p(Y|T,x)}\)
\(p(Y|T,X)\)
\(p(Y|T,X)\)
\(p(Y|T,X)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
12
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(\frac{p(Y)p(X|Y,T)}{\sum_{y\in\mathcal{Y}}{p(y)p(X|y,T)}}\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
13
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
14
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y|T)\)
\(p(Y|T)\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
\(p(Y|T)\)
Not Identifiable
Not Identifiable
\(p(Y|T)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
15
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
16
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
17
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
18
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(\frac{p(Y)p(X|Y,T)}{\sum_{y\in\mathcal{Y}}{p(y)p(X|y,T)}}\)
\(p(Y)\)
\(p(Y|X,T)\)
\(p(Y)\)
Not Identifiable
\(p(Y)\)
\(\frac{p(Y)p(X|Y,T)}{\sum_{y\in\mathcal{Y}}{p(y)p(X|y,T)}}\)
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
19 (Moderator)
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(\sum_{x\in\mathcal{X}}{p(x)p(Y|T,x)}\)
\(p(Y|T,X)\)
\(\sum_{x\in\mathcal{X}}{p(x)p(Y|T,x)}\)
\(p(Y|T,X)\)
\(\sum_{x\in\mathcal{X}}{p(x)p(Y|T,x)}\)
\(p(Y|T,X)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
20 (Confounder)
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(\sum_{x\in\mathcal{X}}{p(x)p(Y|T,x)}\)
\(p(Y|T,X)\)
\(\sum_{x\in\mathcal{X}}{p(x)p(Y|T,x)}\)
\(p(Y|T,X)\)
\(\sum_{x\in\mathcal{X}}{p(x)p(Y|T,x)}\)
\(p(Y|T,X)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
21
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
22
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
\(p(Y|T,X)\)
Not Identifiable
\(p(Y|T,X)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
23
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
\(p(Y|T,X)\)
\(p(Y|T)\)
Not Identifiable
Not Identifiable
Not Identifiable
\(p(Y|T)\)
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
Not Identifiable
24
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
\(p(Y)\)
\(p(Y|X)\)
25
\(p(Y(T))\)
\(p(Y(T)|X(T))\)
\(p(Y)\)
\(\frac{p(Y)p(X|Y,T)}{\sum_{y\in\mathcal{Y}}{p(y)p(X|y,T)}}\)
\(p(Y)\)
\(\frac{p(Y)p(X|Y,T)}{\sum_{y\in\mathcal{Y}}{p(y)p(X|y,T)}}\)
\(p(Y)\)
Not Identifiable
\(p(Y)\)
\(\frac{p(Y)p(X|Y,T)}{\sum_{y\in\mathcal{Y}}{p(y)p(X|y,T)}}\)
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable
\(p(Y)\)
Not Identifiable