Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₁λ₁₃-σ₁₃

Single Door Criterion:

{1} ⊥ {3} | {}

Parameter: λ₁₄ Identified

Algebraic Equations:

σ₁₂σ₁₃²λ₁₄+σ₁₃σ₁₄σ₂₃-σ₁₃²σ₂₄-σ₁₁σ₁₂σ₃₃λ₁₄+σ₁₁σ₂₄σ₃₃-σ₁₁σ₂₃σ₃₄

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:

-σ₁₂+ω₁₂

Parameter: ω₁₄ Identified

Algebraic Equations:

-σ₁₁σ₁₃σ₁₄σ₂₃+σ₁₁σ₁₃²σ₂₄+σ₁₁σ₁₂σ₁₄σ₃₃-σ₁₁²σ₂₄σ₃₃-σ₁₁σ₁₂σ₁₃σ₃₄+σ₁₁²σ₂₃σ₃₄+σ₁₂σ₁₃²ω₁₄-σ₁₁σ₁₂σ₃₃ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₂₃ Identified

Algebraic Equations:

σ₁₂σ₁₃-σ₁₁σ₂₃+σ₁₁ω₂₃

Parameter: ω₃₃ Identified

Algebraic Equations:

σ₁₃²-σ₁₁σ₃₃+σ₁₁ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

-σ₁₁σ₁₃²σ₁₄²σ₂₃²+2σ₁₁σ₁₃³σ₁₄σ₂₃σ₂₄-σ₁₁σ₁₃⁴σ₂₄²-σ₁₂²σ₁₃²σ₁₄²σ₃₃+2σ₁₁σ₁₂σ₁₃σ₁₄²σ₂₃σ₃₃-2σ₁₁σ₁₂σ₁₃²σ₁₄σ₂₄σ₃₃-2σ₁₁²σ₁₃σ₁₄σ₂₃σ₂₄σ₃₃+2σ₁₁²σ₁₃²σ₂₄²σ₃₃+2σ₁₁²σ₁₂σ₁₄σ₂₄σ₃₃²-σ₁₁³σ₂₄²σ₃₃²+2σ₁₂²σ₁₃³σ₁₄σ₃₄-2σ₁₁σ₁₂σ₁₃²σ₁₄σ₂₃σ₃₄+2σ₁₁²σ₁₃σ₁₄σ₂₃²σ₃₄+2σ₁₁σ₁₂σ₁₃³σ₂₄σ₃₄-2σ₁₁²σ₁₃²σ₂₃σ₂₄σ₃₄-2σ₁₁²σ₁₂σ₁₄σ₂₃σ₃₃σ₃₄-2σ₁₁²σ₁₂σ₁₃σ₂₄σ₃₃σ₃₄+2σ₁₁³σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁σ₁₂²σ₁₃²σ₃₄²+2σ₁₁²σ₁₂σ₁₃σ₂₃σ₃₄²-σ₁₁³σ₂₃²σ₃₄²+σ₁₁²σ₁₂²σ₃₃σ₃₄²-σ₁₂²σ₁₃⁴σ₄₄+2σ₁₁σ₁₂²σ₁₃²σ₃₃σ₄₄-σ₁₁²σ₁₂²σ₃₃²σ₄₄+σ₁₂²σ₁₃⁴ω₄₄-2σ₁₁σ₁₂²σ₁₃²σ₃₃ω₄₄+σ₁₁²σ₁₂²σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₃λ₃₄+λ₁₄ Identified

Each Parameter Identified

Vanishing Ideal

Zero Vanishing Ideal