Parameter: λ12 Identified

Algebraic Equations:

σ13σ14σ23λ1214σ232132σ24λ1213σ23σ2412σ14σ33λ1214σ22σ3312σ13σ34λ1213σ22σ34

Parameter: λ23 Identified

Algebraic Equations:

σ14σ23λ2313σ24λ2314σ3313σ34

Parameter: λ34 Identified

Algebraic Equations:

σ13λ3414

Instrumental Variable:

1 | {}

Parameter: ω11 Identified

Algebraic Equations:

1111

Parameter: ω12 Identified

Algebraic Equations:

12σ13σ14σ2311σ14σ23212σ132σ2411σ13σ23σ24122σ14σ3311σ14σ22σ33122σ13σ3411σ13σ22σ3413σ14σ23ω12132σ24ω1212σ14σ33ω1212σ13σ34ω12

Parameter: ω13 Identified

Algebraic Equations:

13σ14σ23132σ2412σ14σ3312σ13σ3414σ23ω1313σ24ω13

Parameter: ω22 Identified

Algebraic Equations:

132σ142σ22σ232+2σ12σ13σ142σ23311σ142σ234+2σ133σ14σ22σ23σ24-4σ12σ132σ14σ232σ24+2σ11σ13σ14σ233σ24134σ22σ242+2σ12σ133σ23σ24211σ132σ232σ242-2σ122σ142σ232σ33+2σ11σ142σ22σ232σ33+2σ122σ13σ14σ23σ24σ33-2σ11σ13σ14σ22σ23σ24σ33122σ142σ22σ33211σ142σ222σ332+2σ122σ13σ14σ232σ34-2σ11σ13σ14σ22σ232σ34-2σ122σ132σ23σ24σ34+2σ11σ132σ22σ23σ24σ34-2σ122σ13σ14σ22σ33σ34+2σ11σ13σ14σ222σ33σ34122σ132σ22σ34211σ132σ222σ342132σ142σ232ω22-2σ133σ14σ23σ24ω22134σ242ω22-2σ12σ13σ142σ23σ33ω22+2σ12σ132σ14σ24σ33ω22122σ142σ332ω22+2σ12σ132σ14σ23σ34ω22-2σ12σ133σ24σ34ω22-2σ122σ13σ14σ33σ34ω22122σ132σ342ω22

Parameter: ω24 Identified

Algebraic Equations:

σ14σ2313σ2413ω24

Parameter: ω33 Identified

Algebraic Equations:

σ142σ232σ33132σ242σ33142σ22σ332-2σ13σ14σ232σ34+2σ132σ23σ24σ34+2σ13σ14σ22σ33σ34132σ22σ342142σ232ω33-2σ13σ14σ23σ24ω33132σ242ω33

Parameter: ω44 Identified

Algebraic Equations:

142σ33+2σ13σ14σ34132σ44132ω44

Total Effect of X1 on X3: λ12λ23 Identified

Each Parameter Identified

Total Effect of X1 on X4: λ12λ23λ34 Identified

Each Parameter Identified

Total Effect of X2 on X4: λ23λ34 Identified

Each Parameter Identified

Vanishing Ideal

Zero Vanishing Ideal