
Parameter: λ12 Identified
Algebraic Equations:
σ13λ12-σ23,
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
{1} ⊥ {2} | {3}
Instrumental Variable:
3 | {}
Parameter: λ13 Identified
Algebraic Equations:
σ14λ13-σ34
Instrumental Variable:
4 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13σ14+σ11σ34+σ14ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ13σ22+σ12σ23+σ13ω22,
σ122-σ11σ22+σ11ω22
Parameter: ω24 Identified
Algebraic Equations:
σ14σ23-σ13σ24+σ13ω24,
σ12σ14-σ11σ24+σ11ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ142σ33+2σ13σ14σ34-σ11σ342+σ142ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Constraint Set:
σ12σ13-σ11σ23
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {1,3} | ({1},{})
Algebraic Equations:
σ13λ12-σ23,
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
{1} ⊥ {2} | {3}
Instrumental Variable:
3 | {}
Parameter: λ13 Identified
Algebraic Equations:
σ14λ13-σ34
Instrumental Variable:
4 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13 Identified
Algebraic Equations:
-σ13σ14+σ11σ34+σ14ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14+ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ13σ22+σ12σ23+σ13ω22,
σ122-σ11σ22+σ11ω22
Parameter: ω24 Identified
Algebraic Equations:
σ14σ23-σ13σ24+σ13ω24,
σ12σ14-σ11σ24+σ11ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ142σ33+2σ13σ14σ34-σ11σ342+σ142ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Vanishing Ideal
Constraint Set:
σ12σ13-σ11σ23
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {1,3} | ({1},{})