Parameter: λ₂₄ Identified

Algebraic Equations:

σ₂₂λ₂₄-σ₂₄,
σ₁₂σ₃₃λ₂₄-σ₁₄σ₃₃+σ₁₃σ₃₄

Single Door Criterion:

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

Instrumental Variable:

1 | {3}

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₃₃λ₃₄-σ₃₄,
σ₁₃σ₂₂λ₃₄-σ₁₄σ₂₂+σ₁₂σ₂₄

Single Door Criterion:

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

Instrumental Variable:

1 | {2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₂ Identified

Algebraic Equations:

-σ₁₂+ω₁₂

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:

σ₂₄²σ₃₃+σ₂₂σ₃₄²-σ₂₂σ₃₃σ₄₄+σ₂₂σ₃₃ω₄₄,
σ₁₄σ₂₄σ₃₃-σ₁₃σ₂₄σ₃₄+σ₁₂σ₃₄²-σ₁₂σ₃₃σ₄₄+σ₁₂σ₃₃ω₄₄,
σ₁₃σ₂₄²+σ₁₄σ₂₂σ₃₄-σ₁₂σ₂₄σ₃₄-σ₁₃σ₂₂σ₄₄+σ₁₃σ₂₂ω₄₄

Vanishing Ideal

Constraint Set:

σ₂₃,
σ₁₄σ₂₂σ₃₃-σ₁₂σ₂₄σ₃₃-σ₁₃σ₂₂σ₃₄

All constraints are determinantal

Trek-separation:

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