Parameter: λ₃₄ Identified

Algebraic Equations:

σ₃₃λ₃₄-σ₃₄,
σ₁₃λ₃₄-σ₁₄

Single Door Criterion:

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

Instrumental Variable:

1 | {}
1 | {2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₃ Identified

Algebraic Equations:

-σ₁₃+ω₁₃

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₃₃+ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₃₄²-σ₃₃σ₄₄+σ₃₃ω₄₄,
σ₁₄σ₃₄-σ₁₃σ₄₄+σ₁₃ω₄₄

Vanishing Ideal

Constraint Set:

σ₂₄,
σ₂₃,
σ₁₂,
σ₁₄σ₃₃-σ₁₃σ₃₄

All constraints are determinantal

Trek-separation:

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