Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₁λ₁₃-σ₁₃,
σ₁₄σ₂₂λ₁₃+σ₂₃σ₂₄-σ₂₂σ₃₄

Single Door Criterion:

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

Instrumental Variable:

4 | {2}

Parameter: λ₂₃ Identified

Algebraic Equations:

σ₂₂λ₂₃-σ₂₃,
σ₁₃σ₁₄+σ₁₁σ₂₄λ₂₃-σ₁₁σ₃₄

Single Door Criterion:

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

Instrumental Variable:

4 | {1}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₄ Identified

Algebraic Equations:

-σ₁₄+ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₂₂+ω₂₂

Parameter: ω₂₄ Identified

Algebraic Equations:

-σ₂₄+ω₂₄

Parameter: ω₃₃ Identified

Algebraic Equations:

-σ₁₃σ₁₄σ₂₃+σ₁₃²σ₂₄-σ₁₁σ₂₄σ₃₃+σ₁₁σ₂₃σ₃₄+σ₁₁σ₂₄ω₃₃,
σ₁₄σ₂₃²-σ₁₃σ₂₃σ₂₄-σ₁₄σ₂₂σ₃₃+σ₁₃σ₂₂σ₃₄+σ₁₄σ₂₂ω₃₃,
σ₁₃²σ₂₂+σ₁₁σ₂₃²-σ₁₁σ₂₂σ₃₃+σ₁₁σ₂₂ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

-σ₄₄+ω₄₄

Vanishing Ideal

Constraint Set:

σ₁₂,
σ₁₃σ₁₄σ₂₂+σ₁₁σ₂₃σ₂₄-σ₁₁σ₂₂σ₃₄

All constraints are determinantal

Trek-separation:

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