
Parameter: λ14 Identified
Algebraic Equations:
σ13λ14-σ34,
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {2,4} | {}
{1} ⊥ {2,4} | {3}
{1} ⊥ {4} | {2}
{1} ⊥ {4} | {2,3}
Instrumental Variable:
3 | {}
3 | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω24 Identified
Algebraic Equations:
-σ24+ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ14σ34-σ13σ44+σ13ω44,
σ142-σ11σ44+σ11ω44
Constraint Set:
σ23,
σ12,
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{2} ⊥ {1,3} | ({},{})
{3,2} ⊥ {1,3} | ({3},{})
{4,2} ⊥ {1,3} | ({4},{})
{1,3} ⊥ {1,2,4} | ({},{1})
{2,1,3} ⊥ {1,2,4} | ({2},{1})
{4,1,3} ⊥ {1,2,4} | ({4},{1})
Algebraic Equations:
σ13λ14-σ34,
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {2,4} | {}
{1} ⊥ {2,4} | {3}
{1} ⊥ {4} | {2}
{1} ⊥ {4} | {2,3}
Instrumental Variable:
3 | {}
3 | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω24 Identified
Algebraic Equations:
-σ24+ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ14σ34-σ13σ44+σ13ω44,
σ142-σ11σ44+σ11ω44
Vanishing Ideal
Constraint Set:
σ23,
σ12,
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{2} ⊥ {1,3} | ({},{})
{3,2} ⊥ {1,3} | ({3},{})
{4,2} ⊥ {1,3} | ({4},{})
{1,3} ⊥ {1,2,4} | ({},{1})
{2,1,3} ⊥ {1,2,4} | ({2},{1})
{4,1,3} ⊥ {1,2,4} | ({4},{1})