
Parameter: λ13 Identified
Algebraic Equations:
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}
Parameter: λ24 Identified
Algebraic Equations:
σ13σ14+σ11σ23λ24-σ11σ34
Instrumental Variable:
3 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ13σ14σ22-σ11σ23σ24+σ11σ22σ34+σ11σ23ω24
Parameter: ω33 Identified
Algebraic Equations:
σ132-σ11σ33+σ11ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ132σ142σ22-2σ11σ13σ14σ23σ24+2σ11σ13σ14σ22σ34+2σ112σ23σ24σ34-σ112σ22σ342-σ112σ232σ44+σ112σ232ω44
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
Algebraic Equations:
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}
Parameter: λ24 Identified
Algebraic Equations:
σ13σ14+σ11σ23λ24-σ11σ34
Instrumental Variable:
3 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ13σ14σ22-σ11σ23σ24+σ11σ22σ34+σ11σ23ω24
Parameter: ω33 Identified
Algebraic Equations:
σ132-σ11σ33+σ11ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ132σ142σ22-2σ11σ13σ14σ23σ24+2σ11σ13σ14σ22σ34+2σ112σ23σ24σ34-σ112σ22σ342-σ112σ232σ44+σ112σ232ω44
Vanishing Ideal
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})