
Parameter: λ24 Identified
Algebraic Equations:
σ22λ24-σ24
Single Door Criterion:
{2} ⊥ {3,4} | {}
{2} ⊥ {4} | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ13σ22λ34-σ14σ22+σ12σ24
Instrumental Variable:
1 | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
σ14σ22σ33-σ12σ24σ33-σ13σ22σ34+σ13σ22ω34
Parameter: ω44 Identified
Algebraic Equations:
σ132σ22σ242-σ142σ222σ33+2σ12σ14σ22σ24σ33-σ122σ242σ33+2σ13σ14σ222σ34-2σ12σ13σ22σ24σ34-σ132σ222σ44+σ132σ222ω44
Constraint Set:
σ23
All constraints are determinantal
Trek-separation:
{2} ⊥ {3} | ({},{})
Algebraic Equations:
σ22λ24-σ24
Single Door Criterion:
{2} ⊥ {3,4} | {}
{2} ⊥ {4} | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ13σ22λ34-σ14σ22+σ12σ24
Instrumental Variable:
1 | {2}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
σ14σ22σ33-σ12σ24σ33-σ13σ22σ34+σ13σ22ω34
Parameter: ω44 Identified
Algebraic Equations:
σ132σ22σ242-σ142σ222σ33+2σ12σ14σ22σ24σ33-σ122σ242σ33+2σ13σ14σ222σ34-2σ12σ13σ22σ24σ34-σ132σ222σ44+σ132σ222ω44
Vanishing Ideal
Constraint Set:
σ23
All constraints are determinantal
Trek-separation:
{2} ⊥ {3} | ({},{})