
Parameter: λ23 Identified
Algebraic Equations:
σ24λ23-σ34,
σ22λ23-σ23
Single Door Criterion:
{2} ⊥ {3} | {}
{2} ⊥ {3} | {4}
Instrumental Variable:
4 | {}
Parameter: λ24 Identified
Algebraic Equations:
σ23λ24-σ34,
σ22λ24-σ24
Single Door Criterion:
{2} ⊥ {4} | {}
{2} ⊥ {4} | {3}
Instrumental Variable:
3 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13σ24+σ12σ34+σ24ω13,
-σ13σ22+σ12σ23+σ22ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14σ23+σ12σ34+σ23ω14,
-σ14σ22+σ12σ24+σ22ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ24σ33+σ23σ34+σ24ω33,
σ232-σ22σ33+σ22ω33
Parameter: ω44 Identified
Algebraic Equations:
σ24σ34-σ23σ44+σ23ω44,
σ242-σ22σ44+σ22ω44
Constraint Set:
σ23σ24-σ22σ34
All constraints are determinantal
Trek-separation:
{2,3} ⊥ {2,4} | ({2},{})
{2,3} ⊥ {2,4} | ({},{2})
Algebraic Equations:
σ24λ23-σ34,
σ22λ23-σ23
Single Door Criterion:
{2} ⊥ {3} | {}
{2} ⊥ {3} | {4}
Instrumental Variable:
4 | {}
Parameter: λ24 Identified
Algebraic Equations:
σ23λ24-σ34,
σ22λ24-σ24
Single Door Criterion:
{2} ⊥ {4} | {}
{2} ⊥ {4} | {3}
Instrumental Variable:
3 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13σ24+σ12σ34+σ24ω13,
-σ13σ22+σ12σ23+σ22ω13
Parameter: ω14 Identified
Algebraic Equations:
-σ14σ23+σ12σ34+σ23ω14,
-σ14σ22+σ12σ24+σ22ω14
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω33 Identified
Algebraic Equations:
-σ24σ33+σ23σ34+σ24ω33,
σ232-σ22σ33+σ22ω33
Parameter: ω44 Identified
Algebraic Equations:
σ24σ34-σ23σ44+σ23ω44,
σ242-σ22σ44+σ22ω44
Vanishing Ideal
Constraint Set:
σ23σ24-σ22σ34
All constraints are determinantal
Trek-separation:
{2,3} ⊥ {2,4} | ({2},{})
{2,3} ⊥ {2,4} | ({},{2})