
Parameter: λ13 Identified
Algebraic Equations:
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}
Parameter: λ23 Identified
Algebraic Equations:
σ22λ23-σ23
Single Door Criterion:
{2} ⊥ {1,3} | {}
{2} ⊥ {3} | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ132σ22+σ11σ232-σ11σ22σ33+σ11σ22ω33
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{2} ⊥ {1} | ({},{})
Algebraic Equations:
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}
Parameter: λ23 Identified
Algebraic Equations:
σ22λ23-σ23
Single Door Criterion:
{2} ⊥ {1,3} | {}
{2} ⊥ {3} | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ132σ22+σ11σ232-σ11σ22σ33+σ11σ22ω33
Vanishing Ideal
Constraint Set:
σ12
All constraints are determinantal
Trek-separation:
{2} ⊥ {1} | ({},{})