
Parameter: λ12 Identified
Algebraic Equations:
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {2} | {3}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω22 Identified
Algebraic Equations:
σ122-σ11σ22+σ11ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Constraint Set:
σ23,
σ13
All constraints are determinantal
Trek-separation:
{3} ⊥ {1,2} | ({},{})
{1,3} ⊥ {1,2} | ({},{1})
{1,2} ⊥ {1,3} | ({},{1})
{1,2} ⊥ {2,3} | ({},{2})
Algebraic Equations:
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {2} | {3}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω22 Identified
Algebraic Equations:
σ122-σ11σ22+σ11ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Vanishing Ideal
Constraint Set:
σ23,
σ13
All constraints are determinantal
Trek-separation:
{3} ⊥ {1,2} | ({},{})
{1,3} ⊥ {1,2} | ({},{1})
{1,2} ⊥ {1,3} | ({},{1})
{1,2} ⊥ {2,3} | ({},{2})