
Parameter: λ23 Identified
Algebraic Equations:
σ22λ23-σ23,
-σ14σ23+σ12σ24λ23
Single Door Criterion:
{2} ⊥ {3} | {}
Parameter: λ24 Identified
Algebraic Equations:
σ22λ24-σ24,
σ12λ24-σ14
Single Door Criterion:
{2} ⊥ {4} | {}
{2} ⊥ {4} | {1}
Instrumental Variable:
1 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
σ14σ23-σ13σ24+σ24ω13,
-σ13σ22+σ12σ23+σ22ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ232-σ22σ33+σ22ω33,
σ14σ232-σ12σ24σ33+σ12σ24ω33
Parameter: ω34 Identified
Algebraic Equations:
σ23σ24-σ22σ34+σ22ω34,
σ14σ23-σ12σ34+σ12ω34
Parameter: ω44 Identified
Algebraic Equations:
σ242-σ22σ44+σ22ω44,
σ14σ24-σ12σ44+σ12ω44
Constraint Set:
σ14σ22-σ12σ24
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {2,4} | ({},{2})
Algebraic Equations:
σ22λ23-σ23,
-σ14σ23+σ12σ24λ23
Single Door Criterion:
{2} ⊥ {3} | {}
Parameter: λ24 Identified
Algebraic Equations:
σ22λ24-σ24,
σ12λ24-σ14
Single Door Criterion:
{2} ⊥ {4} | {}
{2} ⊥ {4} | {1}
Instrumental Variable:
1 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
σ14σ23-σ13σ24+σ24ω13,
-σ13σ22+σ12σ23+σ22ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
σ232-σ22σ33+σ22ω33,
σ14σ232-σ12σ24σ33+σ12σ24ω33
Parameter: ω34 Identified
Algebraic Equations:
σ23σ24-σ22σ34+σ22ω34,
σ14σ23-σ12σ34+σ12ω34
Parameter: ω44 Identified
Algebraic Equations:
σ242-σ22σ44+σ22ω44,
σ14σ24-σ12σ44+σ12ω44
Vanishing Ideal
Constraint Set:
σ14σ22-σ12σ24
All constraints are determinantal
Trek-separation:
{1,2} ⊥ {2,4} | ({},{2})