Parameter: λ₁₂ Identified

Algebraic Equations:

σ₁₁λ₁₂-σ₁₂

Single Door Criterion:

{1} ⊥ {2,3} | {}
{1} ⊥ {2} | {3}

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₁₁σ₂₃²λ₂₄+σ₁₂²σ₃₃λ₂₄-σ₁₂σ₁₄σ₃₃-σ₁₁σ₂₂σ₃₃λ₂₄+σ₁₁σ₂₄σ₃₃-σ₁₁σ₂₃σ₃₄

Single Door Criterion:

{2} ⊥ {4} | {1,3}

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₁₂σ₁₄σ₂₃+σ₁₁σ₂₃²λ₃₄-σ₁₁σ₂₃σ₂₄+σ₁₂²σ₃₃λ₃₄-σ₁₁σ₂₂σ₃₃λ₃₄-σ₁₂²σ₃₄+σ₁₁σ₂₂σ₃₄

Single Door Criterion:

{3} ⊥ {4} | {1,2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₄ Identified

Algebraic Equations:

-σ₁₁σ₁₄σ₂₃²+σ₁₁σ₁₄σ₂₂σ₃₃-σ₁₁σ₁₂σ₂₄σ₃₃+σ₁₁σ₁₂σ₂₃σ₃₄+σ₁₁σ₂₃²ω₁₄+σ₁₂²σ₃₃ω₁₄-σ₁₁σ₂₂σ₃₃ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

σ₁₂²-σ₁₁σ₂₂+σ₁₁ω₂₂

Parameter: ω₂₃ Identified

Algebraic Equations:

-σ₂₃+ω₂₃

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₃₃+ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₁₂²σ₁₄²σ₂₃²σ₃₃-σ₁₁²σ₂₃²σ₂₄²σ₃₃-σ₁₂²σ₁₄²σ₂₂σ₃₃²+2σ₁₂³σ₁₄σ₂₄σ₃₃²-2σ₁₁σ₁₂²σ₂₄²σ₃₃²+σ₁₁²σ₂₂σ₂₄²σ₃₃²+2σ₁₁²σ₂₃³σ₂₄σ₃₄-2σ₁₂³σ₁₄σ₂₃σ₃₃σ₃₄+4σ₁₁σ₁₂²σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄-σ₁₁²σ₂₂σ₂₃²σ₃₄²+σ₁₂⁴σ₃₃σ₃₄²-2σ₁₁σ₁₂²σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₂₂²σ₃₃σ₃₄²-σ₁₁²σ₂₃⁴σ₄₄-2σ₁₁σ₁₂²σ₂₃²σ₃₃σ₄₄+2σ₁₁²σ₂₂σ₂₃²σ₃₃σ₄₄-σ₁₂⁴σ₃₃²σ₄₄+2σ₁₁σ₁₂²σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₂₂²σ₃₃²σ₄₄+σ₁₁²σ₂₃⁴ω₄₄+2σ₁₁σ₁₂²σ₂₃²σ₃₃ω₄₄-2σ₁₁²σ₂₂σ₂₃²σ₃₃ω₄₄+σ₁₂⁴σ₃₃²ω₄₄-2σ₁₁σ₁₂²σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₂₂²σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₂λ₂₄ Identified

Each Parameter Identified

Vanishing Ideal

Constraint Set:

σ₁₃

All constraints are determinantal

Trek-separation:

{1} ⊥ {3} | ({},{})