
Parameter: λ12 Identified
Algebraic Equations:
σ14λ12-σ24,
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {2} | {4}
{1} ⊥ {2} | {3}
Instrumental Variable:
4 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ14σ22+σ12σ24+σ14ω22,
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ34+ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Constraint Set:
σ13,
σ12σ14-σ11σ24
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})
{1,2} ⊥ {1,4} | ({1},{})
Algebraic Equations:
σ14λ12-σ24,
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {2} | {4}
{1} ⊥ {2} | {3}
Instrumental Variable:
4 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ14σ22+σ12σ24+σ14ω22,
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ34+ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Vanishing Ideal
Constraint Set:
σ13,
σ12σ14-σ11σ24
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})
{1,2} ⊥ {1,4} | ({1},{})