
Parameter: λ12 Identified
Algebraic Equations:
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
Parameter: λ13
Parameter: λ24 Identified
Algebraic Equations:
σ122λ24-σ12σ14-σ11σ22λ24+σ11σ24
Single Door Criterion:
{2} ⊥ {4} | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13
Parameter: ω14 Identified
Algebraic Equations:
σ11σ14σ22-σ11σ12σ24+σ122ω14-σ11σ22ω14
Parameter: ω22 Identified
Algebraic Equations:
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
σ12σ13-σ11σ23+σ11ω23
Parameter: ω33
Parameter: ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ122σ142σ22+2σ123σ14σ24-2σ11σ122σ242+σ112σ22σ242-σ124σ44+2σ11σ122σ22σ44-σ112σ222σ44+σ124ω44-2σ11σ122σ22ω44+σ112σ222ω44
Total Effect of X1 on X4: λ12λ24 Identified
Each Parameter Identified
Algebraic Equations:
σ11λ12-σ12
Single Door Criterion:
{1} ⊥ {2} | {}
Parameter: λ13
Parameter: λ24 Identified
Algebraic Equations:
σ122λ24-σ12σ14-σ11σ22λ24+σ11σ24
Single Door Criterion:
{2} ⊥ {4} | {1}
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω13
Parameter: ω14 Identified
Algebraic Equations:
σ11σ14σ22-σ11σ12σ24+σ122ω14-σ11σ22ω14
Parameter: ω22 Identified
Algebraic Equations:
σ122-σ11σ22+σ11ω22
Parameter: ω23 Identified
Algebraic Equations:
σ12σ13-σ11σ23+σ11ω23
Parameter: ω33
Parameter: ω34
Parameter: ω44 Identified
Algebraic Equations:
-σ122σ142σ22+2σ123σ14σ24-2σ11σ122σ242+σ112σ22σ242-σ124σ44+2σ11σ122σ22σ44-σ112σ222σ44+σ124ω44-2σ11σ122σ22ω44+σ112σ222ω44
Total Effect of X1 on X4: λ12λ24 Identified
Each Parameter Identified