Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₂²λ₁₃-σ₁₁σ₂₂λ₁₃+σ₁₃σ₂₂-σ₁₂σ₂₃

Single Door Criterion:

{1} ⊥ {3} | {2}

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₁₂²λ₂₃-σ₁₂σ₁₃-σ₁₁σ₂₂λ₂₃+σ₁₁σ₂₃

Single Door Criterion:

{2} ⊥ {3} | {1}

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₁₃²σ₂₂²λ₂₄-2σ₁₂σ₁₃σ₂₂σ₂₃λ₂₄+σ₁₃σ₁₄σ₂₂σ₂₃-σ₁₂σ₁₄σ₂₃²+σ₁₁σ₂₂σ₂₃²λ₂₄-σ₁₃²σ₂₂σ₂₄+σ₁₂σ₁₃σ₂₃σ₂₄+σ₁₂²σ₂₂σ₃₃λ₂₄-σ₁₁σ₂₂²σ₃₃λ₂₄-σ₁₂²σ₂₄σ₃₃+σ₁₁σ₂₂σ₂₄σ₃₃+σ₁₂²σ₂₃σ₃₄-σ₁₁σ₂₂σ₂₃σ₃₄

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₁₃²σ₂₂λ₃₄-σ₁₃σ₁₄σ₂₂-2σ₁₂σ₁₃σ₂₃λ₃₄+σ₁₂σ₁₄σ₂₃+σ₁₁σ₂₃²λ₃₄+σ₁₂σ₁₃σ₂₄-σ₁₁σ₂₃σ₂₄+σ₁₂²σ₃₃λ₃₄-σ₁₁σ₂₂σ₃₃λ₃₄-σ₁₂²σ₃₄+σ₁₁σ₂₂σ₃₄

Single Door Criterion:

{3} ⊥ {4} | {1,2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₂ Identified

Algebraic Equations:

-σ₁₂+ω₁₂

Parameter: ω₁₄ Identified

Algebraic Equations:

σ₁₂²σ₁₄σ₂₃²-σ₁₁σ₁₄σ₂₂σ₂₃²-σ₁₂²σ₁₃σ₂₃σ₂₄+σ₁₁σ₁₃σ₂₂σ₂₃σ₂₄-σ₁₂²σ₁₄σ₂₂σ₃₃+σ₁₁σ₁₄σ₂₂²σ₃₃+σ₁₂³σ₂₄σ₃₃-σ₁₁σ₁₂σ₂₂σ₂₄σ₃₃+σ₁₂²σ₁₃σ₂₂σ₃₄-σ₁₁σ₁₃σ₂₂²σ₃₄-σ₁₂³σ₂₃σ₃₄+σ₁₁σ₁₂σ₂₂σ₂₃σ₃₄+σ₁₃²σ₂₂²ω₁₄-2σ₁₂σ₁₃σ₂₂σ₂₃ω₁₄+σ₁₁σ₂₂σ₂₃²ω₁₄+σ₁₂²σ₂₂σ₃₃ω₁₄-σ₁₁σ₂₂²σ₃₃ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₁₃²σ₂₂+2σ₁₂σ₁₃σ₂₃-σ₁₁σ₂₃²-σ₁₂²σ₃₃+σ₁₁σ₂₂σ₃₃+σ₁₂²ω₃₃-σ₁₁σ₂₂ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₁₃²σ₁₄²σ₂₂²σ₂₃²-2σ₁₂σ₁₃σ₁₄²σ₂₂σ₂₃³+σ₁₂²σ₁₄²σ₂₃⁴-2σ₁₃³σ₁₄σ₂₂²σ₂₃σ₂₄+4σ₁₂σ₁₃²σ₁₄σ₂₂σ₂₃²σ₂₄-2σ₁₂²σ₁₃σ₁₄σ₂₃³σ₂₄+σ₁₃⁴σ₂₂²σ₂₄²-2σ₁₂σ₁₃³σ₂₂σ₂₃σ₂₄²+σ₁₂²σ₁₃²σ₂₃²σ₂₄²-σ₁₃²σ₁₄²σ₂₂³σ₃₃+2σ₁₂σ₁₃σ₁₄²σ₂₂²σ₂₃σ₃₃-σ₁₂²σ₁₄²σ₂₂σ₂₃²σ₃₃+2σ₁₂σ₁₃²σ₁₄σ₂₂²σ₂₄σ₃₃-4σ₁₂²σ₁₃σ₁₄σ₂₂σ₂₃σ₂₄σ₃₃+2σ₁₂³σ₁₄σ₂₃²σ₂₄σ₃₃+σ₁₂²σ₁₃²σ₂₂σ₂₄²σ₃₃-2σ₁₁σ₁₃²σ₂₂²σ₂₄²σ₃₃-2σ₁₂³σ₁₃σ₂₃σ₂₄²σ₃₃+4σ₁₁σ₁₂σ₁₃σ₂₂σ₂₃σ₂₄²σ₃₃-σ₁₁²σ₂₂σ₂₃²σ₂₄²σ₃₃+σ₁₂⁴σ₂₄²σ₃₃²-2σ₁₁σ₁₂²σ₂₂σ₂₄²σ₃₃²+σ₁₁²σ₂₂²σ₂₄²σ₃₃²+2σ₁₃³σ₁₄σ₂₂³σ₃₄-6σ₁₂σ₁₃²σ₁₄σ₂₂²σ₂₃σ₃₄+6σ₁₂²σ₁₃σ₁₄σ₂₂σ₂₃²σ₃₄-2σ₁₂³σ₁₄σ₂₃³σ₃₄-2σ₁₂σ₁₃³σ₂₂²σ₂₄σ₃₄+2σ₁₂²σ₁₃²σ₂₂σ₂₃σ₂₄σ₃₄+4σ₁₁σ₁₃²σ₂₂²σ₂₃σ₂₄σ₃₄+2σ₁₂³σ₁₃σ₂₃²σ₂₄σ₃₄-8σ₁₁σ₁₂σ₁₃σ₂₂σ₂₃²σ₂₄σ₃₄+2σ₁₁²σ₂₂σ₂₃³σ₂₄σ₃₄-2σ₁₂⁴σ₂₃σ₂₄σ₃₃σ₃₄+4σ₁₁σ₁₂²σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₂₂²σ₂₃σ₂₄σ₃₃σ₃₄+2σ₁₂²σ₁₃²σ₂₂²σ₃₄²-2σ₁₁σ₁₃²σ₂₂³σ₃₄²-4σ₁₂³σ₁₃σ₂₂σ₂₃σ₃₄²+4σ₁₁σ₁₂σ₁₃σ₂₂²σ₂₃σ₃₄²+σ₁₂⁴σ₂₃²σ₃₄²-σ₁₁²σ₂₂²σ₂₃²σ₃₄²+σ₁₂⁴σ₂₂σ₃₃σ₃₄²-2σ₁₁σ₁₂²σ₂₂²σ₃₃σ₃₄²+σ₁₁²σ₂₂³σ₃₃σ₃₄²-σ₁₃⁴σ₂₂³σ₄₄+4σ₁₂σ₁₃³σ₂₂²σ₂₃σ₄₄-4σ₁₂²σ₁₃²σ₂₂σ₂₃²σ₄₄-2σ₁₁σ₁₃²σ₂₂²σ₂₃²σ₄₄+4σ₁₁σ₁₂σ₁₃σ₂₂σ₂₃³σ₄₄-σ₁₁²σ₂₂σ₂₃⁴σ₄₄-2σ₁₂²σ₁₃²σ₂₂²σ₃₃σ₄₄+2σ₁₁σ₁₃²σ₂₂³σ₃₃σ₄₄+4σ₁₂³σ₁₃σ₂₂σ₂₃σ₃₃σ₄₄-4σ₁₁σ₁₂σ₁₃σ₂₂²σ₂₃σ₃₃σ₄₄-2σ₁₁σ₁₂²σ₂₂σ₂₃²σ₃₃σ₄₄+2σ₁₁²σ₂₂²σ₂₃²σ₃₃σ₄₄-σ₁₂⁴σ₂₂σ₃₃²σ₄₄+2σ₁₁σ₁₂²σ₂₂²σ₃₃²σ₄₄-σ₁₁²σ₂₂³σ₃₃²σ₄₄+σ₁₃⁴σ₂₂³ω₄₄-4σ₁₂σ₁₃³σ₂₂²σ₂₃ω₄₄+4σ₁₂²σ₁₃²σ₂₂σ₂₃²ω₄₄+2σ₁₁σ₁₃²σ₂₂²σ₂₃²ω₄₄-4σ₁₁σ₁₂σ₁₃σ₂₂σ₂₃³ω₄₄+σ₁₁²σ₂₂σ₂₃⁴ω₄₄+2σ₁₂²σ₁₃²σ₂₂²σ₃₃ω₄₄-2σ₁₁σ₁₃²σ₂₂³σ₃₃ω₄₄-4σ₁₂³σ₁₃σ₂₂σ₂₃σ₃₃ω₄₄+4σ₁₁σ₁₂σ₁₃σ₂₂²σ₂₃σ₃₃ω₄₄+2σ₁₁σ₁₂²σ₂₂σ₂₃²σ₃₃ω₄₄-2σ₁₁²σ₂₂²σ₂₃²σ₃₃ω₄₄+σ₁₂⁴σ₂₂σ₃₃²ω₄₄-2σ₁₁σ₁₂²σ₂₂²σ₃₃²ω₄₄+σ₁₁²σ₂₂³σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₃λ₃₄ Identified

Each Parameter Identified

Total Effect of X₂ on X₄: λ₂₃λ₃₄+λ₂₄ Identified

Each Parameter Identified

Vanishing Ideal

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