
Parameter: λ14 Identified
Algebraic Equations:
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {2,4} | {}
{1} ⊥ {4} | {2}
Parameter: λ23 Identified
Algebraic Equations:
σ13σ14+σ11σ24λ23-σ11σ34
Instrumental Variable:
4 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ13σ14σ22-σ11σ23σ24+σ11σ22σ34+σ11σ24ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ24+ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ132σ142σ22-2σ11σ13σ14σ23σ24-σ112σ242σ33+2σ11σ13σ14σ22σ34+2σ112σ23σ24σ34-σ112σ22σ342+σ112σ242ω33
Parameter: ω44 Identified
Algebraic Equations:
σ142-σ11σ44+σ11ω44
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
Algebraic Equations:
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {2,4} | {}
{1} ⊥ {4} | {2}
Parameter: λ23 Identified
Algebraic Equations:
σ13σ14+σ11σ24λ23-σ11σ34
Instrumental Variable:
4 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ13σ14σ22-σ11σ23σ24+σ11σ22σ34+σ11σ24ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ24+ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ132σ142σ22-2σ11σ13σ14σ23σ24-σ112σ242σ33+2σ11σ13σ14σ22σ34+2σ112σ23σ24σ34-σ112σ22σ342+σ112σ242ω33
Parameter: ω44 Identified
Algebraic Equations:
σ142-σ11σ44+σ11ω44
Vanishing Ideal
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})