Parameter: λ12

Parameter: λ13

Parameter: λ23 Identified

Algebraic Equations:

σ14σ22λ2314σ2312σ24λ2312σ34

Parameter: λ24 Identified

Algebraic Equations:

σ12λ2414

Instrumental Variable:

1 | {}

Parameter: ω11 Identified

Algebraic Equations:

1111

Parameter: ω12

Parameter: ω13

Parameter: ω22

Parameter: ω24 Identified

Algebraic Equations:

σ14σ2212σ2412ω24

Parameter: ω33

Parameter: ω44 Identified

Algebraic Equations:

142σ22+2σ12σ14σ24122σ44122ω44

Total Effect of X1 on X3: λ12λ2313

Path-specific Effect of X1 on X3: λ12λ23

Total Effect of X1 on X4: λ12λ24

Vanishing Ideal

Zero Vanishing Ideal