
Parameter: λ13 Identified
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {2,3} | {4}
{1} ⊥ {3} | {2}
{1} ⊥ {3} | {2,4}
Instrumental Variable:
4 | {}
4 | {2}
Parameter: λ14
Parameter: λ23
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44
Constraint Set:
σ24,
σ12,
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{2} ⊥ {1,4} | ({},{})
{3,2} ⊥ {1,4} | ({3},{})
{4,2} ⊥ {1,4} | ({4},{})
{1,2,3} ⊥ {1,4} | ({1},{})
{1,2,3} ⊥ {3,1,4} | ({1},{3})
{1,2,3} ⊥ {2,1,4} | ({1},{2})
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {2,3} | {4}
{1} ⊥ {3} | {2}
{1} ⊥ {3} | {2,4}
Instrumental Variable:
4 | {}
4 | {2}
Parameter: λ14
Parameter: λ23
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44
Vanishing Ideal
Constraint Set:
σ24,
σ12,
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{2} ⊥ {1,4} | ({},{})
{3,2} ⊥ {1,4} | ({3},{})
{4,2} ⊥ {1,4} | ({4},{})
{1,2,3} ⊥ {1,4} | ({1},{})
{1,2,3} ⊥ {3,1,4} | ({1},{3})
{1,2,3} ⊥ {2,1,4} | ({1},{2})