
Parameter: λ13 Identified
Algebraic Equations:
σ14σ23λ13-σ13σ24λ13+σ24σ33-σ23σ34
Parameter: λ23
Parameter: λ34 Identified
Algebraic Equations:
σ23λ34-σ24
Instrumental Variable:
2 | {}
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13σ14σ23+σ132σ24-σ11σ24σ33+σ11σ23σ34+σ14σ23ω13-σ13σ24ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14σ23+σ13σ24+σ23ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ242σ33+2σ23σ24σ34-σ232σ44+σ232ω44
Total Effect of X1 on X4: λ13λ34 Identified
Each Parameter Identified
Total Effect of X2 on X4: λ23λ34
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
Algebraic Equations:
σ14σ23λ13-σ13σ24λ13+σ24σ33-σ23σ34
Parameter: λ23
Parameter: λ34 Identified
Algebraic Equations:
σ23λ34-σ24
Instrumental Variable:
2 | {}
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13σ14σ23+σ132σ24-σ11σ24σ33+σ11σ23σ34+σ14σ23ω13-σ13σ24ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14σ23+σ13σ24+σ23ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ242σ33+2σ23σ24σ34-σ232σ44+σ232ω44
Total Effect of X1 on X4: λ13λ34 Identified
Each Parameter Identified
Total Effect of X2 on X4: λ23λ34
Vanishing Ideal
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})