Parameter: λ₁₂ Identified

Algebraic Equations:

σ₁₁λ₁₂-σ₁₂

Single Door Criterion:

{1} ⊥ {2} | {}

Parameter: λ₁₄ Identified

Algebraic Equations:

σ₁₂²σ₁₃λ₁₄-σ₁₁σ₁₃σ₂₂λ₁₄+σ₁₂σ₁₄σ₂₃-σ₁₁σ₂₃σ₂₄-σ₁₂²σ₃₄+σ₁₁σ₂₂σ₃₄

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:

-σ₁₃+ω₁₃

Parameter: ω₁₄ Identified

Algebraic Equations:

σ₁₁σ₁₃σ₁₄σ₂₂-σ₁₁σ₁₂σ₁₄σ₂₃-σ₁₁σ₁₂σ₁₃σ₂₄+σ₁₁²σ₂₃σ₂₄+σ₁₁σ₁₂²σ₃₄-σ₁₁²σ₂₂σ₃₄+σ₁₂²σ₁₃ω₁₄-σ₁₁σ₁₃σ₂₂ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

σ₁₂²-σ₁₁σ₂₂+σ₁₁ω₂₂

Parameter: ω₂₃ Identified

Algebraic Equations:

σ₁₂σ₁₃-σ₁₁σ₂₃+σ₁₁ω₂₃

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₃₃+ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

-σ₁₂²σ₁₃²σ₁₄²σ₂₂+2σ₁₁σ₁₂σ₁₃σ₁₄²σ₂₂σ₂₃-σ₁₁σ₁₂²σ₁₄²σ₂₃²+2σ₁₂³σ₁₃²σ₁₄σ₂₄-2σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₃σ₂₄-2σ₁₁²σ₁₃σ₁₄σ₂₂σ₂₃σ₂₄+2σ₁₁²σ₁₂σ₁₄σ₂₃²σ₂₄-2σ₁₁σ₁₂²σ₁₃²σ₂₄²+σ₁₁²σ₁₃²σ₂₂σ₂₄²+2σ₁₁²σ₁₂σ₁₃σ₂₃σ₂₄²-σ₁₁³σ₂₃²σ₂₄²-2σ₁₁σ₁₂²σ₁₃σ₁₄σ₂₂σ₃₄+2σ₁₁²σ₁₃σ₁₄σ₂₂²σ₃₄+2σ₁₁σ₁₂³σ₁₄σ₂₃σ₃₄-2σ₁₁²σ₁₂σ₁₄σ₂₂σ₂₃σ₃₄+2σ₁₁σ₁₂³σ₁₃σ₂₄σ₃₄-2σ₁₁²σ₁₂σ₁₃σ₂₂σ₂₄σ₃₄-2σ₁₁²σ₁₂²σ₂₃σ₂₄σ₃₄+2σ₁₁³σ₂₂σ₂₃σ₂₄σ₃₄-σ₁₁σ₁₂⁴σ₃₄²+2σ₁₁²σ₁₂²σ₂₂σ₃₄²-σ₁₁³σ₂₂²σ₃₄²-σ₁₂⁴σ₁₃²σ₄₄+2σ₁₁σ₁₂²σ₁₃²σ₂₂σ₄₄-σ₁₁²σ₁₃²σ₂₂²σ₄₄+σ₁₂⁴σ₁₃²ω₄₄-2σ₁₁σ₁₂²σ₁₃²σ₂₂ω₄₄+σ₁₁²σ₁₃²σ₂₂²ω₄₄

Total Effect of X₁ on X₄: λ₁₂λ₂₄+λ₁₄ Identified

Each Parameter Identified

Vanishing Ideal

Zero Vanishing Ideal