
Parameter: λ12 Identified
Algebraic Equations:
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
Parameter: λ13 Identified
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {3} | {}
{1} ⊥ {3} | {4}
Instrumental Variable:
4 | {}
Parameter: λ14
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14
Parameter: ω22 Identified
Algebraic Equations:
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ14σ23+σ12σ34+σ14ω23,
σ12σ13-σ11σ23+σ11ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ13σ24+σ12σ34+σ13ω24,
σ12σ14-σ11σ24+σ11ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ14ω33,
σ132-σ11σ33+σ11ω33
Parameter: ω44
Constraint Set:
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {1,4} | ({1},{})
Algebraic Equations:
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
Parameter: λ13 Identified
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {3} | {}
{1} ⊥ {3} | {4}
Instrumental Variable:
4 | {}
Parameter: λ14
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω14
Parameter: ω22 Identified
Algebraic Equations:
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ14σ23+σ12σ34+σ14ω23,
σ12σ13-σ11σ23+σ11ω23
Parameter: ω24 Identified
Algebraic Equations:
-σ13σ24+σ12σ34+σ13ω24,
σ12σ14-σ11σ24+σ11ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ14ω33,
σ132-σ11σ33+σ11ω33
Parameter: ω44
Vanishing Ideal
Constraint Set:
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {1,4} | ({1},{})