
Parameter: λ13 Identified
Algebraic Equations:
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ132-σ11σ33+σ11ω33
Constraint Set:
σ23,
σ12
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {2} | ({},{})
{1,3} ⊥ {1,2} | ({},{1})
{1,2} ⊥ {1,3} | ({},{1})
{1,3} ⊥ {2,3} | ({},{3})
Algebraic Equations:
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ132-σ11σ33+σ11ω33
Vanishing Ideal
Constraint Set:
σ23,
σ12
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {2} | ({},{})
{1,3} ⊥ {1,2} | ({},{1})
{1,2} ⊥ {1,3} | ({},{1})
{1,3} ⊥ {2,3} | ({},{3})