
Parameter: λ13
Parameter: λ14
Parameter: λ23
Parameter: λ34 Identified
Algebraic Equations:
σ23λ34-σ24
Instrumental Variable:
2 | {}
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13
Parameter: ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44
Total Effect of X1 on X4: λ13λ34+λ14
Path-specific Effect of X1 on X4: λ13λ34
Total Effect of X2 on X4: λ23λ34
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
Parameter: λ14
Parameter: λ23
Parameter: λ34 Identified
Algebraic Equations:
σ23λ34-σ24
Instrumental Variable:
2 | {}
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13
Parameter: ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44
Total Effect of X1 on X4: λ13λ34+λ14
Path-specific Effect of X1 on X4: λ13λ34
Total Effect of X2 on X4: λ23λ34
Vanishing Ideal
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})