
Parameter: λ34 Identified
Algebraic Equations:
σ33λ34-σ34,
σ23λ34-σ24
Single Door Criterion:
{3} ⊥ {4} | {}
{3} ⊥ {4} | {2}
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ33ω14,
-σ14σ23+σ13σ24+σ23ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ342-σ33σ44+σ33ω44,
σ24σ34-σ23σ44+σ23ω44
Constraint Set:
σ24σ33-σ23σ34
All constraints are determinantal
Trek-separation:
{2,3} ⊥ {3,4} | ({},{3})
Algebraic Equations:
σ33λ34-σ34,
σ23λ34-σ24
Single Door Criterion:
{3} ⊥ {4} | {}
{3} ⊥ {4} | {2}
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14σ33+σ13σ34+σ33ω14,
-σ14σ23+σ13σ24+σ23ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ342-σ33σ44+σ33ω44,
σ24σ34-σ23σ44+σ23ω44
Vanishing Ideal
Constraint Set:
σ24σ33-σ23σ34
All constraints are determinantal
Trek-separation:
{2,3} ⊥ {3,4} | ({},{3})