
Parameter: λ13 Identified
Algebraic Equations:
σ12λ13-σ23,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {3} | {}
{1} ⊥ {3} | {2}
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ13σ23-σ12σ33+σ12ω33,
σ132-σ11σ33+σ11ω33
Constraint Set:
σ12σ13-σ11σ23
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {1,3} | ({},{1})
Algebraic Equations:
σ12λ13-σ23,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {3} | {}
{1} ⊥ {3} | {2}
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ13σ23-σ12σ33+σ12ω33,
σ132-σ11σ33+σ11ω33
Vanishing Ideal
Constraint Set:
σ12σ13-σ11σ23
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {1,3} | ({},{1})