
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:
σ232-σ22σ33+σ22ω33
Constraint Set:
σ13,
σ12
All constraints are determinantal
Trek-separation:
{2,3} ⊥ {1} | ({},{})
{2,3} ⊥ {1,2} | ({},{2})
{2,3} ⊥ {1,3} | ({},{3})
{1,2} ⊥ {2,3} | ({},{2})
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:
σ232-σ22σ33+σ22ω33
Vanishing Ideal
Constraint Set:
σ13,
σ12
All constraints are determinantal
Trek-separation:
{2,3} ⊥ {1} | ({},{})
{2,3} ⊥ {1,2} | ({},{2})
{2,3} ⊥ {1,3} | ({},{3})
{1,2} ⊥ {2,3} | ({},{2})