
Parameter: λ14 Identified
Algebraic Equations:
σ12σ33λ14-σ24σ33+σ23σ34
Instrumental Variable:
2 | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ33λ34-σ34
Single Door Criterion:
{3} ⊥ {1,4} | {}
{3} ⊥ {4} | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω14 Identified
Algebraic Equations:
-σ12σ14σ33+σ11σ24σ33-σ11σ23σ34+σ12σ33ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
2σ12σ14σ24σ332-σ11σ242σ332-2σ12σ14σ23σ33σ34+2σ11σ23σ24σ33σ34-σ11σ232σ342+σ122σ33σ342-σ122σ332σ44+σ122σ332ω44
Constraint Set:
σ13
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})
Algebraic Equations:
σ12σ33λ14-σ24σ33+σ23σ34
Instrumental Variable:
2 | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ33λ34-σ34
Single Door Criterion:
{3} ⊥ {1,4} | {}
{3} ⊥ {4} | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω14 Identified
Algebraic Equations:
-σ12σ14σ33+σ11σ24σ33-σ11σ23σ34+σ12σ33ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
2σ12σ14σ24σ332-σ11σ242σ332-2σ12σ14σ23σ33σ34+2σ11σ23σ24σ33σ34-σ11σ232σ342+σ122σ33σ342-σ122σ332σ44+σ122σ332ω44
Vanishing Ideal
Constraint Set:
σ13
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})