Parameter: λ₁₂ Identified

Algebraic Equations:

σ₁₁λ₁₂-σ₁₂

Single Door Criterion:

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

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₃₃λ₃₄-σ₃₄

Single Door Criterion:

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

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₂₂ Identified

Algebraic Equations:

σ₁₂²-σ₁₁σ₂₂+σ₁₁ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₃₃+ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₃₄²-σ₃₃σ₄₄+σ₃₃ω₄₄

Vanishing Ideal

Constraint Set:

σ₂₄,
σ₂₃,
σ₁₄,
σ₁₃

All constraints are determinantal

Trek-separation:

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