
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:
σ12λ24-σ14
Instrumental Variable:
1 | {}
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: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω24 Identified
Algebraic Equations:
σ14σ22-σ12σ24+σ12ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ24σ33+σ23σ34+σ24ω33,
σ232-σ22σ33+σ22ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ142σ22+2σ12σ14σ24-σ122σ44+σ122ω44
Constraint Set:
σ23σ24-σ22σ34
All constraints are determinantal
Trek-separation:
{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:
σ12λ24-σ14
Instrumental Variable:
1 | {}
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: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω24 Identified
Algebraic Equations:
σ14σ22-σ12σ24+σ12ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ24σ33+σ23σ34+σ24ω33,
σ232-σ22σ33+σ22ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ142σ22+2σ12σ14σ24-σ122σ44+σ122ω44
Vanishing Ideal
Constraint Set:
σ23σ24-σ22σ34
All constraints are determinantal
Trek-separation:
{2,3} ⊥ {2,4} | ({2},{})