Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₂²λ₁₃-σ₁₁σ₂₂λ₁₃+σ₁₃σ₂₂-σ₁₂σ₂₃

Single Door Criterion:

{1} ⊥ {3} | {2}

Parameter: λ₁₄ Identified

Algebraic Equations:

σ₁₂σ₁₃²σ₂₂λ₁₄-2σ₁₂²σ₁₃σ₂₃λ₁₄+σ₁₃σ₁₄σ₂₂σ₂₃+σ₁₁σ₁₂σ₂₃²λ₁₄-σ₁₂σ₁₄σ₂₃²-σ₁₃²σ₂₂σ₂₄+σ₁₂σ₁₃σ₂₃σ₂₄+σ₁₂³σ₃₃λ₁₄-σ₁₁σ₁₂σ₂₂σ₃₃λ₁₄-σ₁₂²σ₂₄σ₃₃+σ₁₁σ₂₂σ₂₄σ₃₃+σ₁₂²σ₂₃σ₃₄-σ₁₁σ₂₂σ₂₃σ₃₄

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₁₂²λ₂₃-σ₁₂σ₁₃-σ₁₁σ₂₂λ₂₃+σ₁₁σ₂₃

Single Door Criterion:

{2} ⊥ {3} | {1}

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:

σ₁₂²σ₁₃σ₁₄σ₂₃-σ₁₁σ₁₃σ₁₄σ₂₂σ₂₃-σ₁₂²σ₁₃²σ₂₄+σ₁₁σ₁₃²σ₂₂σ₂₄-σ₁₂³σ₁₄σ₃₃+σ₁₁σ₁₂σ₁₄σ₂₂σ₃₃+σ₁₁σ₁₂²σ₂₄σ₃₃-σ₁₁²σ₂₂σ₂₄σ₃₃+σ₁₂³σ₁₃σ₃₄-σ₁₁σ₁₂σ₁₃σ₂₂σ₃₄-σ₁₁σ₁₂²σ₂₃σ₃₄+σ₁₁²σ₂₂σ₂₃σ₃₄+σ₁₂σ₁₃²σ₂₂ω₁₄-2σ₁₂²σ₁₃σ₂₃ω₁₄+σ₁₁σ₁₂σ₂₃²ω₁₄+σ₁₂³σ₃₃ω₁₄-σ₁₁σ₁₂σ₂₂σ₃₃ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

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

Parameter: ω₄₄ Identified

Algebraic Equations:

2σ₁₂²σ₁₃²σ₁₄²σ₂₂σ₂₃²-σ₁₁σ₁₃²σ₁₄²σ₂₂²σ₂₃²-2σ₁₂³σ₁₃σ₁₄²σ₂₃³+σ₁₁σ₁₂²σ₁₄²σ₂₃⁴-4σ₁₂²σ₁₃³σ₁₄σ₂₂σ₂₃σ₂₄+2σ₁₁σ₁₃³σ₁₄σ₂₂²σ₂₃σ₂₄+4σ₁₂³σ₁₃²σ₁₄σ₂₃²σ₂₄-2σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₃³σ₂₄+2σ₁₂²σ₁₃⁴σ₂₂σ₂₄²-σ₁₁σ₁₃⁴σ₂₂²σ₂₄²-2σ₁₂³σ₁₃³σ₂₃σ₂₄²+σ₁₁σ₁₂²σ₁₃²σ₂₃²σ₂₄²-σ₁₂²σ₁₃²σ₁₄²σ₂₂²σ₃₃+2σ₁₁σ₁₂σ₁₃σ₁₄²σ₂₂²σ₂₃σ₃₃+σ₁₂⁴σ₁₄²σ₂₃²σ₃₃-2σ₁₁σ₁₂²σ₁₄²σ₂₂σ₂₃²σ₃₃+4σ₁₂³σ₁₃²σ₁₄σ₂₂σ₂₄σ₃₃-2σ₁₁σ₁₂σ₁₃²σ₁₄σ₂₂²σ₂₄σ₃₃-6σ₁₂⁴σ₁₃σ₁₄σ₂₃σ₂₄σ₃₃+4σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₂σ₂₃σ₂₄σ₃₃-2σ₁₁²σ₁₃σ₁₄σ₂₂²σ₂₃σ₂₄σ₃₃+2σ₁₁σ₁₂³σ₁₄σ₂₃²σ₂₄σ₃₃+σ₁₂⁴σ₁₃²σ₂₄²σ₃₃-4σ₁₁σ₁₂²σ₁₃²σ₂₂σ₂₄²σ₃₃+2σ₁₁²σ₁₃²σ₂₂²σ₂₄²σ₃₃+2σ₁₁σ₁₂³σ₁₃σ₂₃σ₂₄²σ₃₃-σ₁₁²σ₁₂²σ₂₃²σ₂₄²σ₃₃+2σ₁₂⁵σ₁₄σ₂₄σ₃₃²-4σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₄σ₃₃²+2σ₁₁²σ₁₂σ₁₄σ₂₂²σ₂₄σ₃₃²-σ₁₁σ₁₂⁴σ₂₄²σ₃₃²+2σ₁₁²σ₁₂²σ₂₂σ₂₄²σ₃₃²-σ₁₁³σ₂₂²σ₂₄²σ₃₃²+2σ₁₂²σ₁₃³σ₁₄σ₂₂²σ₃₄-4σ₁₂³σ₁₃²σ₁₄σ₂₂σ₂₃σ₃₄-2σ₁₁σ₁₂σ₁₃²σ₁₄σ₂₂²σ₂₃σ₃₄+4σ₁₂⁴σ₁₃σ₁₄σ₂₃²σ₃₄+2σ₁₁²σ₁₃σ₁₄σ₂₂²σ₂₃²σ₃₄-2σ₁₁σ₁₂³σ₁₄σ₂₃³σ₃₄-4σ₁₂³σ₁₃³σ₂₂σ₂₄σ₃₄+2σ₁₁σ₁₂σ₁₃³σ₂₂²σ₂₄σ₃₄+4σ₁₂⁴σ₁₃²σ₂₃σ₂₄σ₃₄+4σ₁₁σ₁₂²σ₁₃²σ₂₂σ₂₃σ₂₄σ₃₄-2σ₁₁²σ₁₃²σ₂₂²σ₂₃σ₂₄σ₃₄-6σ₁₁σ₁₂³σ₁₃σ₂₃²σ₂₄σ₃₄+2σ₁₁²σ₁₂²σ₂₃³σ₂₄σ₃₄-2σ₁₂⁵σ₁₄σ₂₃σ₃₃σ₃₄+4σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₃σ₃₃σ₃₄-2σ₁₁²σ₁₂σ₁₄σ₂₂²σ₂₃σ₃₃σ₃₄-2σ₁₂⁵σ₁₃σ₂₄σ₃₃σ₃₄+4σ₁₁σ₁₂³σ₁₃σ₂₂σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₁₂σ₁₃σ₂₂²σ₂₄σ₃₃σ₃₄+2σ₁₁σ₁₂⁴σ₂₃σ₂₄σ₃₃σ₃₄-4σ₁₁²σ₁₂²σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄+2σ₁₁³σ₂₂²σ₂₃σ₂₄σ₃₃σ₃₄+2σ₁₂⁴σ₁₃²σ₂₂σ₃₄²-2σ₁₁σ₁₂²σ₁₃²σ₂₂²σ₃₄²-2σ₁₂⁵σ₁₃σ₂₃σ₃₄²+2σ₁₁²σ₁₂σ₁₃σ₂₂²σ₂₃σ₃₄²+σ₁₁σ₁₂⁴σ₂₃²σ₃₄²-σ₁₁³σ₂₂²σ₂₃²σ₃₄²+σ₁₂⁶σ₃₃σ₃₄²-2σ₁₁σ₁₂⁴σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₁₂²σ₂₂²σ₃₃σ₃₄²-σ₁₂²σ₁₃⁴σ₂₂²σ₄₄+4σ₁₂³σ₁₃³σ₂₂σ₂₃σ₄₄-4σ₁₂⁴σ₁₃²σ₂₃²σ₄₄-2σ₁₁σ₁₂²σ₁₃²σ₂₂σ₂₃²σ₄₄+4σ₁₁σ₁₂³σ₁₃σ₂₃³σ₄₄-σ₁₁²σ₁₂²σ₂₃⁴σ₄₄-2σ₁₂⁴σ₁₃²σ₂₂σ₃₃σ₄₄+2σ₁₁σ₁₂²σ₁₃²σ₂₂²σ₃₃σ₄₄+4σ₁₂⁵σ₁₃σ₂₃σ₃₃σ₄₄-4σ₁₁σ₁₂³σ₁₃σ₂₂σ₂₃σ₃₃σ₄₄-2σ₁₁σ₁₂⁴σ₂₃²σ₃₃σ₄₄+2σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₃σ₄₄-σ₁₂⁶σ₃₃²σ₄₄+2σ₁₁σ₁₂⁴σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₁₂²σ₂₂²σ₃₃²σ₄₄+σ₁₂²σ₁₃⁴σ₂₂²ω₄₄-4σ₁₂³σ₁₃³σ₂₂σ₂₃ω₄₄+4σ₁₂⁴σ₁₃²σ₂₃²ω₄₄+2σ₁₁σ₁₂²σ₁₃²σ₂₂σ₂₃²ω₄₄-4σ₁₁σ₁₂³σ₁₃σ₂₃³ω₄₄+σ₁₁²σ₁₂²σ₂₃⁴ω₄₄+2σ₁₂⁴σ₁₃²σ₂₂σ₃₃ω₄₄-2σ₁₁σ₁₂²σ₁₃²σ₂₂²σ₃₃ω₄₄-4σ₁₂⁵σ₁₃σ₂₃σ₃₃ω₄₄+4σ₁₁σ₁₂³σ₁₃σ₂₂σ₂₃σ₃₃ω₄₄+2σ₁₁σ₁₂⁴σ₂₃²σ₃₃ω₄₄-2σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₃ω₄₄+σ₁₂⁶σ₃₃²ω₄₄-2σ₁₁σ₁₂⁴σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₁₂²σ₂₂²σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₃λ₃₄+λ₁₄ Identified

Each Parameter Identified

Total Effect of X₂ on X₄: λ₂₃λ₃₄ Identified

Each Parameter Identified

Vanishing Ideal

Zero Vanishing Ideal