Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₁λ₁₃-σ₁₃

Single Door Criterion:

{1} ⊥ {2,3} | {}
{1} ⊥ {3} | {2}

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₂₂λ₂₄-σ₂₄

Single Door Criterion:

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

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₁₃²λ₃₄-σ₁₃σ₁₄-σ₁₁σ₃₃λ₃₄+σ₁₁σ₃₄

Single Door Criterion:

{3} ⊥ {2,4} | {1}
{3} ⊥ {4} | {1,2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₄ Identified

Algebraic Equations:

σ₁₁σ₁₄σ₃₃-σ₁₁σ₁₃σ₃₄+σ₁₃²ω₁₄-σ₁₁σ₃₃ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

σ₁₃²-σ₁₁σ₃₃+σ₁₁ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₁₃⁴σ₂₄²-σ₁₃²σ₁₄²σ₂₂σ₃₃-2σ₁₁σ₁₃²σ₂₄²σ₃₃+σ₁₁²σ₂₄²σ₃₃²+2σ₁₃³σ₁₄σ₂₂σ₃₄-2σ₁₁σ₁₃²σ₂₂σ₃₄²+σ₁₁²σ₂₂σ₃₃σ₃₄²-σ₁₃⁴σ₂₂σ₄₄+2σ₁₁σ₁₃²σ₂₂σ₃₃σ₄₄-σ₁₁²σ₂₂σ₃₃²σ₄₄+σ₁₃⁴σ₂₂ω₄₄-2σ₁₁σ₁₃²σ₂₂σ₃₃ω₄₄+σ₁₁²σ₂₂σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₃λ₃₄ Identified

Each Parameter Identified

Vanishing Ideal

Constraint Set:

σ₂₃,
σ₁₂

All constraints are determinantal

Trek-separation:

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