
Parameter: λ13 Identified
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {3} | {}
{1} ⊥ {3} | {4}
Instrumental Variable:
4 | {}
Parameter: λ14 Identified
Algebraic Equations:
σ12λ14-σ24
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω14 Identified
Algebraic Equations:
-σ12σ14+σ11σ24+σ12ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ14σ23+σ12σ34+σ14ω23,
σ12σ13-σ11σ23+σ11ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ14ω33,
σ132-σ11σ33+σ11ω33
Parameter: ω44 Identified
Algebraic Equations:
2σ12σ14σ24-σ11σ242-σ122σ44+σ122ω44
Constraint Set:
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {1,4} | ({1},{})
Algebraic Equations:
σ14λ13-σ34,
σ11λ13-σ13
Single Door Criterion:
{1} ⊥ {3} | {}
{1} ⊥ {3} | {4}
Instrumental Variable:
4 | {}
Parameter: λ14 Identified
Algebraic Equations:
σ12λ14-σ24
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω14 Identified
Algebraic Equations:
-σ12σ14+σ11σ24+σ12ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ14σ23+σ12σ34+σ14ω23,
σ12σ13-σ11σ23+σ11ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ14ω33,
σ132-σ11σ33+σ11ω33
Parameter: ω44 Identified
Algebraic Equations:
2σ12σ14σ24-σ11σ242-σ122σ44+σ122ω44
Vanishing Ideal
Constraint Set:
σ13σ14-σ11σ34
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {1,4} | ({1},{})