Parameter: λ₁₂ Identified

Algebraic Equations:

σ₁₁λ₁₂-σ₁₂

Single Door Criterion:

{1} ⊥ {2} | {}

Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₁σ₁₂²σ₁₄σ₂₂λ₁₃+σ₁₂²σ₁₃σ₁₄σ₂₂-σ₁₁²σ₁₄σ₂₂²λ₁₃-σ₁₂³σ₁₄σ₂₃-σ₁₁σ₁₂³σ₂₄λ₁₃-σ₁₂³σ₁₃σ₂₄+σ₁₁²σ₁₂σ₂₂σ₂₄λ₁₃+2σ₁₁σ₁₂²σ₂₃σ₂₄-σ₁₁²σ₂₂σ₂₃σ₂₄+σ₁₂⁴σ₃₄-2σ₁₁σ₁₂²σ₂₂σ₃₄+σ₁₁²σ₂₂²σ₃₄

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₁₂²λ₂₃-σ₁₂σ₁₃-σ₁₁σ₂₂λ₂₃+σ₁₁σ₂₃

Single Door Criterion:

{2} ⊥ {3} | {1}

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₁₂²λ₂₄-σ₁₂σ₁₄-σ₁₁σ₂₂λ₂₄+σ₁₁σ₂₄

Single Door Criterion:

{2} ⊥ {4} | {1}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₃ Identified

Algebraic Equations:

-σ₁₃σ₁₄σ₂₂+σ₁₂σ₁₄σ₂₃+σ₁₂σ₁₃σ₂₄-σ₁₁σ₂₃σ₂₄-σ₁₂²σ₃₄+σ₁₁σ₂₂σ₃₄+σ₁₄σ₂₂ω₁₃-σ₁₂σ₂₄ω₁₃

Parameter: ω₁₄ Identified

Algebraic Equations:

σ₁₁σ₁₄σ₂₂-σ₁₁σ₁₂σ₂₄+σ₁₂²ω₁₄-σ₁₁σ₂₂ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

σ₁₂²-σ₁₁σ₂₂+σ₁₁ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₁₂²σ₁₃²σ₁₄²σ₂₂²+2σ₁₂³σ₁₃σ₁₄²σ₂₂σ₂₃-σ₁₂⁴σ₁₄²σ₂₃²+σ₁₁σ₁₂²σ₁₄²σ₂₂σ₂₃²-σ₁₁²σ₁₄²σ₂₂²σ₂₃²+2σ₁₂³σ₁₃²σ₁₄σ₂₂σ₂₄-2σ₁₂⁴σ₁₃σ₁₄σ₂₃σ₂₄-4σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₂σ₂₃σ₂₄+2σ₁₁²σ₁₃σ₁₄σ₂₂²σ₂₃σ₂₄+2σ₁₁σ₁₂³σ₁₄σ₂₃²σ₂₄-σ₁₂⁴σ₁₃²σ₂₄²+4σ₁₁σ₁₂³σ₁₃σ₂₃σ₂₄²-2σ₁₁²σ₁₂σ₁₃σ₂₂σ₂₃σ₂₄²-2σ₁₁²σ₁₂²σ₂₃²σ₂₄²+σ₁₁³σ₂₂σ₂₃²σ₂₄²-σ₁₁σ₁₂²σ₁₄²σ₂₂²σ₃₃+σ₁₁²σ₁₄²σ₂₂³σ₃₃+2σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₄σ₃₃-2σ₁₁²σ₁₂σ₁₄σ₂₂²σ₂₄σ₃₃-σ₁₁σ₁₂⁴σ₂₄²σ₃₃+σ₁₁²σ₁₂²σ₂₂σ₂₄²σ₃₃-2σ₁₂⁴σ₁₃σ₁₄σ₂₂σ₃₄+4σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₂²σ₃₄-2σ₁₁²σ₁₃σ₁₄σ₂₂³σ₃₄+2σ₁₂⁵σ₁₄σ₂₃σ₃₄-4σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₃σ₃₄+2σ₁₁²σ₁₂σ₁₄σ₂₂²σ₂₃σ₃₄+2σ₁₂⁵σ₁₃σ₂₄σ₃₄-4σ₁₁σ₁₂³σ₁₃σ₂₂σ₂₄σ₃₄+2σ₁₁²σ₁₂σ₁₃σ₂₂²σ₂₄σ₃₄-2σ₁₁σ₁₂⁴σ₂₃σ₂₄σ₃₄+4σ₁₁²σ₁₂²σ₂₂σ₂₃σ₂₄σ₃₄-2σ₁₁³σ₂₂²σ₂₃σ₂₄σ₃₄-σ₁₂⁶σ₃₄²+3σ₁₁σ₁₂⁴σ₂₂σ₃₄²-3σ₁₁²σ₁₂²σ₂₂²σ₃₄²+σ₁₁³σ₂₂³σ₃₄²+σ₁₁σ₁₂²σ₁₄²σ₂₂²ω₃₃-σ₁₁²σ₁₄²σ₂₂³ω₃₃-2σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₄ω₃₃+2σ₁₁²σ₁₂σ₁₄σ₂₂²σ₂₄ω₃₃+σ₁₁σ₁₂⁴σ₂₄²ω₃₃-σ₁₁²σ₁₂²σ₂₂σ₂₄²ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

-σ₁₂²σ₁₄²σ₂₂+2σ₁₂³σ₁₄σ₂₄-2σ₁₁σ₁₂²σ₂₄²+σ₁₁²σ₂₂σ₂₄²-σ₁₂⁴σ₄₄+2σ₁₁σ₁₂²σ₂₂σ₄₄-σ₁₁²σ₂₂²σ₄₄+σ₁₂⁴ω₄₄-2σ₁₁σ₁₂²σ₂₂ω₄₄+σ₁₁²σ₂₂²ω₄₄

Total Effect of X₁ on X₃: λ₁₂λ₂₃+λ₁₃ Identified

Each Parameter Identified

Total Effect of X₁ on X₄: λ₁₂λ₂₄ Identified

Each Parameter Identified

Vanishing Ideal

Zero Vanishing Ideal