Parameter: λ₁₄ Identified

Algebraic Equations:

σ₁₁λ₁₄-σ₁₄

Single Door Criterion:

{1} ⊥ {2,3,4} | {}
{1} ⊥ {2,4} | {3}
{1} ⊥ {3,4} | {2}
{1} ⊥ {4} | {2,3}

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₂₂λ₂₃-σ₂₃

Single Door Criterion:

{2} ⊥ {1,3} | {}
{2} ⊥ {3} | {1}

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₂₃²λ₃₄-σ₂₃σ₂₄-σ₂₂σ₃₃λ₃₄+σ₂₂σ₃₄

Single Door Criterion:

{3} ⊥ {1,4} | {2}
{3} ⊥ {4} | {1,2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₂₄ Identified

Algebraic Equations:

σ₂₂σ₂₄σ₃₃-σ₂₂σ₂₃σ₃₄+σ₂₃²ω₂₄-σ₂₂σ₃₃ω₂₄

Parameter: ω₃₃ Identified

Algebraic Equations:

σ₂₃²-σ₂₂σ₃₃+σ₂₂ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₁₄²σ₂₃⁴-2σ₁₄²σ₂₂σ₂₃²σ₃₃-σ₁₁σ₂₃²σ₂₄²σ₃₃+σ₁₄²σ₂₂²σ₃₃²+2σ₁₁σ₂₃³σ₂₄σ₃₄-2σ₁₁σ₂₂σ₂₃²σ₃₄²+σ₁₁σ₂₂²σ₃₃σ₃₄²-σ₁₁σ₂₃⁴σ₄₄+2σ₁₁σ₂₂σ₂₃²σ₃₃σ₄₄-σ₁₁σ₂₂²σ₃₃²σ₄₄+σ₁₁σ₂₃⁴ω₄₄-2σ₁₁σ₂₂σ₂₃²σ₃₃ω₄₄+σ₁₁σ₂₂²σ₃₃²ω₄₄

Total Effect of X₂ on X₄: λ₂₃λ₃₄ Identified

Each Parameter Identified

Vanishing Ideal

Constraint Set:

σ₁₃,
σ₁₂

All constraints are determinantal

Trek-separation:

{1} ⊥ {2,3} | ({},{})
{2,1} ⊥ {2,3} | ({2},{})
{3,1} ⊥ {2,3} | ({3},{})
{4,1} ⊥ {2,3} | ({4},{})
{1,2} ⊥ {2,3} | ({},{2})