Parameter: λ₁₂ Identified

Algebraic Equations:

-σ₁₃σ₁₄σ₂₃+σ₁₃²σ₂₄+σ₁₁σ₁₄σ₃₃λ₁₂-σ₁₁σ₂₄σ₃₃-σ₁₁σ₁₃σ₃₄λ₁₂+σ₁₁σ₂₃σ₃₄

Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₁λ₁₃-σ₁₃

Single Door Criterion:

{1} ⊥ {3} | {}

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₁₃²λ₃₄-σ₁₃σ₁₄-σ₁₁σ₃₃λ₃₄+σ₁₁σ₃₄

Single Door Criterion:

{3} ⊥ {4} | {1}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₂ Identified

Algebraic Equations:

σ₁₃σ₁₄σ₂₃-σ₁₃²σ₂₄-σ₁₂σ₁₄σ₃₃+σ₁₁σ₂₄σ₃₃+σ₁₂σ₁₃σ₃₄-σ₁₁σ₂₃σ₃₄+σ₁₄σ₃₃ω₁₂-σ₁₃σ₃₄ω₁₂

Parameter: ω₁₄ Identified

Algebraic Equations:

σ₁₁σ₁₄σ₃₃-σ₁₁σ₁₃σ₃₄+σ₁₃²ω₁₄-σ₁₁σ₃₃ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₁₃²σ₁₄²σ₂₃²+2σ₁₃³σ₁₄σ₂₃σ₂₄-σ₁₃⁴σ₂₄²+2σ₁₂σ₁₃σ₁₄²σ₂₃σ₃₃-2σ₁₂σ₁₃²σ₁₄σ₂₄σ₃₃-2σ₁₁σ₁₃σ₁₄σ₂₃σ₂₄σ₃₃+2σ₁₁σ₁₃²σ₂₄²σ₃₃-σ₁₁σ₁₄²σ₂₂σ₃₃²+2σ₁₁σ₁₂σ₁₄σ₂₄σ₃₃²-σ₁₁²σ₂₄²σ₃₃²-2σ₁₂σ₁₃²σ₁₄σ₂₃σ₃₄+2σ₁₁σ₁₃σ₁₄σ₂₃²σ₃₄+2σ₁₂σ₁₃³σ₂₄σ₃₄-2σ₁₁σ₁₃²σ₂₃σ₂₄σ₃₄+2σ₁₁σ₁₃σ₁₄σ₂₂σ₃₃σ₃₄-2σ₁₁σ₁₂σ₁₄σ₂₃σ₃₃σ₃₄-2σ₁₁σ₁₂σ₁₃σ₂₄σ₃₃σ₃₄+2σ₁₁²σ₂₃σ₂₄σ₃₃σ₃₄-σ₁₁σ₁₃²σ₂₂σ₃₄²+2σ₁₁σ₁₂σ₁₃σ₂₃σ₃₄²-σ₁₁²σ₂₃²σ₃₄²+σ₁₁σ₁₄²σ₃₃²ω₂₂-2σ₁₁σ₁₃σ₁₄σ₃₃σ₃₄ω₂₂+σ₁₁σ₁₃²σ₃₄²ω₂₂

Parameter: ω₂₃ Identified

Algebraic Equations:

σ₁₂σ₁₃-σ₁₁σ₂₃+σ₁₁ω₂₃

Parameter: ω₃₃ Identified

Algebraic Equations:

σ₁₃²-σ₁₁σ₃₃+σ₁₁ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

-σ₁₃²σ₁₄²σ₃₃+2σ₁₃³σ₁₄σ₃₄-2σ₁₁σ₁₃²σ₃₄²+σ₁₁²σ₃₃σ₃₄²-σ₁₃⁴σ₄₄+2σ₁₁σ₁₃²σ₃₃σ₄₄-σ₁₁²σ₃₃²σ₄₄+σ₁₃⁴ω₄₄-2σ₁₁σ₁₃²σ₃₃ω₄₄+σ₁₁²σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₃λ₃₄ Identified

Each Parameter Identified

Vanishing Ideal

Zero Vanishing Ideal