
Parameter: λ12 Identified
Algebraic Equations:
σ13λ12-σ23
Instrumental Variable:
3 | {}
Parameter: λ34 Identified
Algebraic Equations:
σ33λ34-σ34,
σ13λ34-σ14
Single Door Criterion:
{3} ⊥ {4} | {}
{3} ⊥ {4} | {1}
Instrumental Variable:
1 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12σ13+σ11σ23+σ13ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ132σ22+2σ12σ13σ23-σ11σ232+σ132ω22
Parameter: ω24 Identified
Algebraic Equations:
-σ24σ33+σ23σ34+σ33ω24,
σ14σ23-σ13σ24+σ13ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ342-σ33σ44+σ33ω44,
σ14σ34-σ13σ44+σ13ω44
Constraint Set:
σ14σ33-σ13σ34
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {3,4} | ({},{3})
Algebraic Equations:
σ13λ12-σ23
Instrumental Variable:
3 | {}
Parameter: λ34 Identified
Algebraic Equations:
σ33λ34-σ34,
σ13λ34-σ14
Single Door Criterion:
{3} ⊥ {4} | {}
{3} ⊥ {4} | {1}
Instrumental Variable:
1 | {}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12 Identified
Algebraic Equations:
-σ12σ13+σ11σ23+σ13ω12
Parameter: ω13 Identified
Algebraic Equations:
-σ13+ω13
Parameter: ω22 Identified
Algebraic Equations:
-σ132σ22+2σ12σ13σ23-σ11σ232+σ132ω22
Parameter: ω24 Identified
Algebraic Equations:
-σ24σ33+σ23σ34+σ33ω24,
σ14σ23-σ13σ24+σ13ω24
Parameter: ω33 Identified
Algebraic Equations:
-σ33+ω33
Parameter: ω44 Identified
Algebraic Equations:
σ342-σ33σ44+σ33ω44,
σ14σ34-σ13σ44+σ13ω44
Vanishing Ideal
Constraint Set:
σ14σ33-σ13σ34
All constraints are determinantal
Trek-separation:
{1,3} ⊥ {3,4} | ({},{3})