
Parameter: λ14 Identified
Algebraic Equations:
σ12λ14-σ24,
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {3,4} | {}
{1} ⊥ {4} | {3}
{1} ⊥ {4} | {2}
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ34+ω34
Parameter: ω44 Identified
Algebraic Equations:
σ14σ24-σ12σ44+σ12ω44,
σ142-σ11σ44+σ11ω44
Constraint Set:
σ13,
σ12σ14-σ11σ24
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})
{1,2} ⊥ {1,4} | ({},{1})
Algebraic Equations:
σ12λ14-σ24,
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {3,4} | {}
{1} ⊥ {4} | {3}
{1} ⊥ {4} | {2}
Instrumental Variable:
2 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12+ω12
Parameter: ω22 Identified
Algebraic Equations:
-σ22+ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ34+ω34
Parameter: ω44 Identified
Algebraic Equations:
σ14σ24-σ12σ44+σ12ω44,
σ142-σ11σ44+σ11ω44
Vanishing Ideal
Constraint Set:
σ13,
σ12σ14-σ11σ24
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})
{1,2} ⊥ {1,4} | ({},{1})