
Parameter: λ12 Identified
Algebraic Equations:
σ14λ12-σ24,
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
{1} ⊥ {2} | {4}
Instrumental Variable:
4 | {}
4 | {3}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ14σ22+σ12σ24+σ14ω22,
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ14σ23+σ13σ24+σ14ω23,
σ12σ13-σ11σ23+σ11ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Constraint Set:
σ34,
σ12σ14-σ11σ24
All constraints are determinantal
Trek-separation:
{3} ⊥ {4} | ({},{})
{1,2} ⊥ {1,4} | ({1},{})
Algebraic Equations:
σ14λ12-σ24,
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
{1} ⊥ {2} | {4}
Instrumental Variable:
4 | {}
4 | {3}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ14σ22+σ12σ24+σ14ω22,
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ14σ23+σ13σ24+σ14ω23,
σ12σ13-σ11σ23+σ11ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Vanishing Ideal
Constraint Set:
σ34,
σ12σ14-σ11σ24
All constraints are determinantal
Trek-separation:
{3} ⊥ {4} | ({},{})
{1,2} ⊥ {1,4} | ({1},{})