Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₁λ₁₃-σ₁₃

Single Door Criterion:

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

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₂₄λ₂₃-σ₃₄,
σ₂₂λ₂₃-σ₂₃

Single Door Criterion:

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

Instrumental Variable:

4 | {}
4 | {1}

Parameter: λ₂₄

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₂₄

Parameter: ω₃₃ Identified

Algebraic Equations:

σ₁₃²σ₂₄-σ₁₁σ₂₄σ₃₃+σ₁₁σ₂₃σ₃₄+σ₁₁σ₂₄ω₃₃,
σ₁₃²σ₂₂+σ₁₁σ₂₃²-σ₁₁σ₂₂σ₃₃+σ₁₁σ₂₂ω₃₃

Parameter: ω₄₄

Vanishing Ideal

Constraint Set:

σ₁₄,
σ₁₂,
σ₂₃σ₂₄-σ₂₂σ₃₄

All constraints are determinantal

Trek-separation:

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