
Parameter: λ12
Parameter: λ14 Identified
Algebraic Equations:
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {3,4} | {}
{1} ⊥ {4} | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ12σ14+σ11σ23λ34-σ11σ24
Instrumental Variable:
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12
Parameter: ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ12σ14σ33+σ11σ24σ33-σ11σ23σ34+σ11σ23ω34
Parameter: ω44 Identified
Algebraic Equations:
σ11σ142σ232-σ122σ142σ33+2σ11σ12σ14σ24σ33-σ112σ242σ33-2σ11σ12σ14σ23σ34+2σ112σ23σ24σ34-σ112σ232σ44+σ112σ232ω44
Constraint Set:
σ13
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})
Parameter: λ14 Identified
Algebraic Equations:
σ11λ14-σ14
Single Door Criterion:
{1} ⊥ {3,4} | {}
{1} ⊥ {4} | {3}
Parameter: λ34 Identified
Algebraic Equations:
σ12σ14+σ11σ23λ34-σ11σ24
Instrumental Variable:
2 | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12
Parameter: ω22
Parameter: ω23 Identified
Algebraic Equations:
-σ23+ω23
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω34 Identified
Algebraic Equations:
-σ12σ14σ33+σ11σ24σ33-σ11σ23σ34+σ11σ23ω34
Parameter: ω44 Identified
Algebraic Equations:
σ11σ142σ232-σ122σ142σ33+2σ11σ12σ14σ24σ33-σ112σ242σ33-2σ11σ12σ14σ23σ34+2σ112σ23σ24σ34-σ112σ232σ44+σ112σ232ω44
Vanishing Ideal
Constraint Set:
σ13
All constraints are determinantal
Trek-separation:
{1} ⊥ {3} | ({},{})