
Parameter: λ13
Parameter: λ23
Parameter: λ24 Identified
Algebraic Equations:
σ23λ24-σ34,
σ22λ24-σ24,
σ12λ24-σ14
Single Door Criterion:
{2} ⊥ {4} | {}
{2} ⊥ {4} | {3}
{2} ⊥ {4} | {1}
{2} ⊥ {4} | {1,3}
Instrumental Variable:
1 | {}
1 | {3}
3 | {}
3 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44 Identified
Algebraic Equations:
σ24σ34-σ23σ44+σ23ω44,
σ242-σ22σ44+σ22ω44,
σ14σ24-σ12σ44+σ12ω44
Constraint Set:
σ23σ24-σ22σ34,
σ14σ23-σ12σ34,
σ14σ22-σ12σ24
All constraints are determinantal
Trek-separation:
{1,2,3} ⊥ {2,4} | ({},{2})
{1,2,3} ⊥ {2,3,4} | ({},{2,3})
{1,2,3} ⊥ {1,2,4} | ({},{1,2})
Parameter: λ23
Parameter: λ24 Identified
Algebraic Equations:
σ23λ24-σ34,
σ22λ24-σ24,
σ12λ24-σ14
Single Door Criterion:
{2} ⊥ {4} | {}
{2} ⊥ {4} | {3}
{2} ⊥ {4} | {1}
{2} ⊥ {4} | {1,3}
Instrumental Variable:
1 | {}
1 | {3}
3 | {}
3 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23
Parameter: ω33
Parameter: ω44 Identified
Algebraic Equations:
σ24σ34-σ23σ44+σ23ω44,
σ242-σ22σ44+σ22ω44,
σ14σ24-σ12σ44+σ12ω44
Vanishing Ideal
Constraint Set:
σ23σ24-σ22σ34,
σ14σ23-σ12σ34,
σ14σ22-σ12σ24
All constraints are determinantal
Trek-separation:
{1,2,3} ⊥ {2,4} | ({},{2})
{1,2,3} ⊥ {2,3,4} | ({},{2,3})
{1,2,3} ⊥ {1,2,4} | ({},{1,2})