Parameter: λ₁₂ Identified

Algebraic Equations:

σ₁₁λ₁₂-σ₁₂

Single Door Criterion:

{1} ⊥ {2,3} | {}
{1} ⊥ {2} | {3}

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₁₂²λ₂₄-σ₁₂σ₁₄-σ₁₁σ₂₂λ₂₄+σ₁₁σ₂₄

Single Door Criterion:

{2} ⊥ {3,4} | {1}
{2} ⊥ {4} | {1,3}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₄ Identified

Algebraic Equations:

σ₁₁σ₁₄σ₂₂-σ₁₁σ₁₂σ₂₄+σ₁₂²ω₁₄-σ₁₁σ₂₂ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

σ₁₂²-σ₁₁σ₂₂+σ₁₁ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₃₃+ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

-σ₁₂²σ₁₄²σ₂₂+2σ₁₂³σ₁₄σ₂₄-2σ₁₁σ₁₂²σ₂₄²+σ₁₁²σ₂₂σ₂₄²-σ₁₂⁴σ₄₄+2σ₁₁σ₁₂²σ₂₂σ₄₄-σ₁₁²σ₂₂²σ₄₄+σ₁₂⁴ω₄₄-2σ₁₁σ₁₂²σ₂₂ω₄₄+σ₁₁²σ₂₂²ω₄₄

Total Effect of X₁ on X₄: λ₁₂λ₂₄ Identified

Each Parameter Identified

Vanishing Ideal

Constraint Set:

σ₃₄,
σ₂₃,
σ₁₃

All constraints are determinantal

Trek-separation:

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