
Parameter: λ13 Identified
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {4}
{1} ⊥ {3} | {2}
Instrumental Variable:
4 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ24+ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ14ω33,
σ132-σ11σ33+σ11ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Constraint Set:
σ12,
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
{1,3} ⊥ {1,4} | ({1},{})
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {4}
{1} ⊥ {3} | {2}
Instrumental Variable:
4 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ24+ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ14ω33,
σ132-σ11σ33+σ11ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Vanishing Ideal
Constraint Set:
σ12,
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{1} ⊥ {2} | ({},{})
{1,3} ⊥ {1,4} | ({1},{})