Parameter: λ₁₂ Identified

Algebraic Equations:

σ₁₃λ₁₂-σ₂₃,
σ₁₁λ₁₂-σ₁₂

Single Door Criterion:

{1} ⊥ {2} | {}
{1} ⊥ {2} | {3}

Instrumental Variable:

3 | {}

Parameter: λ₁₃ Identified

Algebraic Equations:

σ₁₂λ₁₃-σ₂₃,
σ₁₁λ₁₃-σ₁₃

Single Door Criterion:

{1} ⊥ {3} | {}
{1} ⊥ {3} | {2}

Instrumental Variable:

2 | {}

Parameter: λ₂₄ Identified

Algebraic Equations:

σ₁₃σ₂₂λ₂₄-σ₁₂σ₂₃λ₂₄+σ₁₄σ₂₃-σ₁₃σ₂₄,
σ₁₂²λ₂₄-σ₁₂σ₁₄-σ₁₁σ₂₂λ₂₄+σ₁₁σ₂₄

Single Door Criterion:

{2} ⊥ {3,4} | {1}
{2} ⊥ {4} | {1,3}

Parameter: λ₃₄ Identified

Algebraic Equations:

σ₁₃σ₂₃λ₃₄-σ₁₄σ₂₃-σ₁₂σ₃₃λ₃₄+σ₁₂σ₃₄,
σ₁₃²λ₃₄-σ₁₃σ₁₄-σ₁₁σ₃₃λ₃₄+σ₁₁σ₃₄,
-σ₁₂σ₁₄σ₂₃+σ₁₁σ₂₃²λ₃₄-σ₁₂²σ₃₃λ₃₄+σ₁₂²σ₃₄

Single Door Criterion:

{3} ⊥ {2,4} | {1}
{3} ⊥ {4} | {1,2}

Parameter: ω₁₁ Identified

Algebraic Equations:

-σ₁₁+ω₁₁

Parameter: ω₁₄ Identified

Algebraic Equations:

-σ₁₁σ₁₄σ₂₃²+σ₁₁σ₁₃σ₂₃σ₂₄+σ₁₁σ₁₄σ₂₂σ₃₃-σ₁₁σ₁₂σ₂₄σ₃₃-σ₁₁σ₁₃σ₂₂σ₃₄+σ₁₁σ₁₂σ₂₃σ₃₄+σ₁₃²σ₂₂ω₁₄-σ₁₁σ₂₃²ω₁₄+σ₁₂²σ₃₃ω₁₄-σ₁₁σ₂₂σ₃₃ω₁₄,
-σ₁₁σ₁₂σ₁₄σ₂₃²+σ₁₁²σ₂₃²σ₂₄+σ₁₁σ₁₂σ₁₄σ₂₂σ₃₃-σ₁₁σ₁₂²σ₂₄σ₃₃+σ₁₁σ₁₂²σ₂₃σ₃₄-σ₁₁²σ₂₂σ₂₃σ₃₄+σ₁₁σ₁₃σ₂₂σ₂₃ω₁₄-σ₁₁σ₁₂σ₂₃²ω₁₄+σ₁₂³σ₃₃ω₁₄-σ₁₁σ₁₂σ₂₂σ₃₃ω₁₄,
σ₁₁σ₁₂²σ₁₄σ₂₃²-σ₁₁²σ₁₂σ₂₃²σ₂₄-σ₁₁σ₁₂²σ₁₄σ₂₂σ₃₃+σ₁₁σ₁₂³σ₂₄σ₃₃-σ₁₁σ₁₂³σ₂₃σ₃₄+σ₁₁²σ₁₂σ₂₂σ₂₃σ₃₄+σ₁₁σ₁₂²σ₂₃²ω₁₄-σ₁₁²σ₂₂σ₂₃²ω₁₄-σ₁₂⁴σ₃₃ω₁₄+σ₁₁σ₁₂²σ₂₂σ₃₃ω₁₄

Parameter: ω₂₂ Identified

Algebraic Equations:

-σ₁₃σ₂₂+σ₁₂σ₂₃+σ₁₃ω₂₂,
σ₁₂²-σ₁₁σ₂₂+σ₁₁ω₂₂

Parameter: ω₃₃ Identified

Algebraic Equations:

σ₁₃σ₂₃-σ₁₂σ₃₃+σ₁₂ω₃₃,
σ₁₃²-σ₁₁σ₃₃+σ₁₁ω₃₃

Parameter: ω₄₄ Identified

Algebraic Equations:

σ₁₃²σ₁₄²σ₂₂σ₂₃²-2σ₁₁σ₁₄²σ₂₃⁴-2σ₁₃³σ₁₄σ₂₂σ₂₃σ₂₄+4σ₁₁σ₁₃σ₁₄σ₂₃³σ₂₄+σ₁₃⁴σ₂₂σ₂₄²-2σ₁₁σ₁₃²σ₂₃²σ₂₄²-σ₁₃²σ₁₄²σ₂₂²σ₃₃+σ₁₂²σ₁₄²σ₂₃²σ₃₃+2σ₁₁σ₁₄²σ₂₂σ₂₃²σ₃₃+2σ₁₁σ₁₃σ₁₄σ₂₂σ₂₃σ₂₄σ₃₃-6σ₁₁σ₁₂σ₁₄σ₂₃²σ₂₄σ₃₃-2σ₁₁σ₁₃²σ₂₂σ₂₄²σ₃₃+4σ₁₁²σ₂₃²σ₂₄²σ₃₃-σ₁₂²σ₁₄²σ₂₂σ₃₃²+2σ₁₂³σ₁₄σ₂₄σ₃₃²-2σ₁₁σ₁₂²σ₂₄²σ₃₃²+σ₁₁²σ₂₂σ₂₄²σ₃₃²+2σ₁₃³σ₁₄σ₂₂²σ₃₄-6σ₁₁σ₁₃σ₁₄σ₂₂σ₂₃²σ₃₄+4σ₁₁σ₁₂σ₁₄σ₂₃³σ₃₄+2σ₁₁σ₁₃²σ₂₂σ₂₃σ₂₄σ₃₄-2σ₁₁²σ₂₃³σ₂₄σ₃₄-2σ₁₂³σ₁₄σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂σ₁₄σ₂₂σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂²σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁σ₁₃²σ₂₂²σ₃₄²-2σ₁₁σ₁₂²σ₂₃²σ₃₄²+4σ₁₁²σ₂₂σ₂₃²σ₃₄²+σ₁₂⁴σ₃₃σ₃₄²-2σ₁₁σ₁₂²σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₂₂²σ₃₃σ₃₄²-σ₁₃⁴σ₂₂²σ₄₄+2σ₁₁σ₁₃²σ₂₂σ₂₃²σ₄₄-σ₁₁²σ₂₃⁴σ₄₄+2σ₁₁σ₁₃²σ₂₂²σ₃₃σ₄₄+2σ₁₁σ₁₂²σ₂₃²σ₃₃σ₄₄-4σ₁₁²σ₂₂σ₂₃²σ₃₃σ₄₄-σ₁₂⁴σ₃₃²σ₄₄+2σ₁₁σ₁₂²σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₂₂²σ₃₃²σ₄₄+σ₁₃⁴σ₂₂²ω₄₄-2σ₁₁σ₁₃²σ₂₂σ₂₃²ω₄₄+σ₁₁²σ₂₃⁴ω₄₄-2σ₁₁σ₁₃²σ₂₂²σ₃₃ω₄₄-2σ₁₁σ₁₂²σ₂₃²σ₃₃ω₄₄+4σ₁₁²σ₂₂σ₂₃²σ₃₃ω₄₄+σ₁₂⁴σ₃₃²ω₄₄-2σ₁₁σ₁₂²σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₂₂²σ₃₃²ω₄₄,
σ₁₁σ₁₃σ₁₄²σ₂₂σ₂₃³-2σ₁₁σ₁₂σ₁₄²σ₂₃⁴-2σ₁₁σ₁₃²σ₁₄σ₂₂σ₂₃²σ₂₄+4σ₁₁²σ₁₄σ₂₃⁴σ₂₄+σ₁₁σ₁₃³σ₂₂σ₂₃σ₂₄²-2σ₁₁²σ₁₃σ₂₃³σ₂₄²-σ₁₁σ₁₃σ₁₄²σ₂₂²σ₂₃σ₃₃+σ₁₂³σ₁₄²σ₂₃²σ₃₃+2σ₁₁σ₁₂σ₁₄²σ₂₂σ₂₃²σ₃₃-6σ₁₁σ₁₂²σ₁₄σ₂₃²σ₂₄σ₃₃+2σ₁₁²σ₁₄σ₂₂σ₂₃²σ₂₄σ₃₃-2σ₁₁²σ₁₃σ₂₂σ₂₃σ₂₄²σ₃₃+4σ₁₁²σ₁₂σ₂₃²σ₂₄²σ₃₃-σ₁₂³σ₁₄²σ₂₂σ₃₃²+2σ₁₂⁴σ₁₄σ₂₄σ₃₃²-2σ₁₁σ₁₂³σ₂₄²σ₃₃²+σ₁₁²σ₁₂σ₂₂σ₂₄²σ₃₃²+2σ₁₁σ₁₃²σ₁₄σ₂₂²σ₂₃σ₃₄+4σ₁₁σ₁₂²σ₁₄σ₂₃³σ₃₄-6σ₁₁²σ₁₄σ₂₂σ₂₃³σ₃₄+2σ₁₁²σ₁₃σ₂₂σ₂₃²σ₂₄σ₃₄-2σ₁₁²σ₁₂σ₂₃³σ₂₄σ₃₄-2σ₁₂⁴σ₁₄σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂²σ₁₄σ₂₂σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂³σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₁₂σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₁₃σ₂₂²σ₂₃σ₃₄²-2σ₁₁σ₁₂³σ₂₃²σ₃₄²+4σ₁₁²σ₁₂σ₂₂σ₂₃²σ₃₄²+σ₁₂⁵σ₃₃σ₃₄²-2σ₁₁σ₁₂³σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₁₂σ₂₂²σ₃₃σ₃₄²-σ₁₁σ₁₃³σ₂₂²σ₂₃σ₄₄+2σ₁₁²σ₁₃σ₂₂σ₂₃³σ₄₄-σ₁₁²σ₁₂σ₂₃⁴σ₄₄+2σ₁₁²σ₁₃σ₂₂²σ₂₃σ₃₃σ₄₄+2σ₁₁σ₁₂³σ₂₃²σ₃₃σ₄₄-4σ₁₁²σ₁₂σ₂₂σ₂₃²σ₃₃σ₄₄-σ₁₂⁵σ₃₃²σ₄₄+2σ₁₁σ₁₂³σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₁₂σ₂₂²σ₃₃²σ₄₄+σ₁₁σ₁₃³σ₂₂²σ₂₃ω₄₄-2σ₁₁²σ₁₃σ₂₂σ₂₃³ω₄₄+σ₁₁²σ₁₂σ₂₃⁴ω₄₄-2σ₁₁²σ₁₃σ₂₂²σ₂₃σ₃₃ω₄₄-2σ₁₁σ₁₂³σ₂₃²σ₃₃ω₄₄+4σ₁₁²σ₁₂σ₂₂σ₂₃²σ₃₃ω₄₄+σ₁₂⁵σ₃₃²ω₄₄-2σ₁₁σ₁₂³σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₁₂σ₂₂²σ₃₃²ω₄₄,
-2σ₁₁σ₁₂²σ₁₄²σ₂₃⁴+σ₁₁²σ₁₄²σ₂₂σ₂₃⁴-2σ₁₁²σ₁₃σ₁₄σ₂₂σ₂₃³σ₂₄+4σ₁₁²σ₁₂σ₁₄σ₂₃⁴σ₂₄+σ₁₁²σ₁₃²σ₂₂σ₂₃²σ₂₄²-2σ₁₁³σ₂₃⁴σ₂₄²+σ₁₂⁴σ₁₄²σ₂₃²σ₃₃+2σ₁₁σ₁₂²σ₁₄²σ₂₂σ₂₃²σ₃₃-σ₁₁²σ₁₄²σ₂₂²σ₂₃²σ₃₃-6σ₁₁σ₁₂³σ₁₄σ₂₃²σ₂₄σ₃₃+2σ₁₁²σ₁₂σ₁₄σ₂₂σ₂₃²σ₂₄σ₃₃+4σ₁₁²σ₁₂²σ₂₃²σ₂₄²σ₃₃-2σ₁₁³σ₂₂σ₂₃²σ₂₄²σ₃₃-σ₁₂⁴σ₁₄²σ₂₂σ₃₃²+2σ₁₂⁵σ₁₄σ₂₄σ₃₃²-2σ₁₁σ₁₂⁴σ₂₄²σ₃₃²+σ₁₁²σ₁₂²σ₂₂σ₂₄²σ₃₃²+2σ₁₁²σ₁₃σ₁₄σ₂₂²σ₂₃²σ₃₄+4σ₁₁σ₁₂³σ₁₄σ₂₃³σ₃₄-6σ₁₁²σ₁₂σ₁₄σ₂₂σ₂₃³σ₃₄-2σ₁₁²σ₁₂²σ₂₃³σ₂₄σ₃₄+2σ₁₁³σ₂₂σ₂₃³σ₂₄σ₃₄-2σ₁₂⁵σ₁₄σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂³σ₁₄σ₂₂σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂⁴σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₁₂²σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁σ₁₂⁴σ₂₃²σ₃₄²+4σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₄²-2σ₁₁³σ₂₂²σ₂₃²σ₃₄²+σ₁₂⁶σ₃₃σ₃₄²-2σ₁₁σ₁₂⁴σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₁₂²σ₂₂²σ₃₃σ₃₄²-σ₁₁²σ₁₃²σ₂₂²σ₂₃²σ₄₄-σ₁₁²σ₁₂²σ₂₃⁴σ₄₄+2σ₁₁³σ₂₂σ₂₃⁴σ₄₄+2σ₁₁σ₁₂⁴σ₂₃²σ₃₃σ₄₄-4σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₃σ₄₄+2σ₁₁³σ₂₂²σ₂₃²σ₃₃σ₄₄-σ₁₂⁶σ₃₃²σ₄₄+2σ₁₁σ₁₂⁴σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₁₂²σ₂₂²σ₃₃²σ₄₄+σ₁₁²σ₁₃²σ₂₂²σ₂₃²ω₄₄+σ₁₁²σ₁₂²σ₂₃⁴ω₄₄-2σ₁₁³σ₂₂σ₂₃⁴ω₄₄-2σ₁₁σ₁₂⁴σ₂₃²σ₃₃ω₄₄+4σ₁₁²σ₁₂²σ₂₂σ₂₃²σ₃₃ω₄₄-2σ₁₁³σ₂₂²σ₂₃²σ₃₃ω₄₄+σ₁₂⁶σ₃₃²ω₄₄-2σ₁₁σ₁₂⁴σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₁₂²σ₂₂²σ₃₃²ω₄₄,
-2σ₁₁σ₁₂³σ₁₄²σ₂₃⁴+σ₁₁²σ₁₂σ₁₄²σ₂₂σ₂₃⁴+4σ₁₁²σ₁₂²σ₁₄σ₂₃⁴σ₂₄-2σ₁₁³σ₁₄σ₂₂σ₂₃⁴σ₂₄+σ₁₁³σ₁₃σ₂₂σ₂₃³σ₂₄²-2σ₁₁³σ₁₂σ₂₃⁴σ₂₄²+σ₁₂⁵σ₁₄²σ₂₃²σ₃₃+2σ₁₁σ₁₂³σ₁₄²σ₂₂σ₂₃²σ₃₃-σ₁₁²σ₁₂σ₁₄²σ₂₂²σ₂₃²σ₃₃-6σ₁₁σ₁₂⁴σ₁₄σ₂₃²σ₂₄σ₃₃+2σ₁₁²σ₁₂²σ₁₄σ₂₂σ₂₃²σ₂₄σ₃₃+4σ₁₁²σ₁₂³σ₂₃²σ₂₄²σ₃₃-2σ₁₁³σ₁₂σ₂₂σ₂₃²σ₂₄²σ₃₃-σ₁₂⁵σ₁₄²σ₂₂σ₃₃²+2σ₁₂⁶σ₁₄σ₂₄σ₃₃²-2σ₁₁σ₁₂⁵σ₂₄²σ₃₃²+σ₁₁²σ₁₂³σ₂₂σ₂₄²σ₃₃²+4σ₁₁σ₁₂⁴σ₁₄σ₂₃³σ₃₄-6σ₁₁²σ₁₂²σ₁₄σ₂₂σ₂₃³σ₃₄+2σ₁₁³σ₁₄σ₂₂²σ₂₃³σ₃₄-2σ₁₁²σ₁₂³σ₂₃³σ₂₄σ₃₄+2σ₁₁³σ₁₂σ₂₂σ₂₃³σ₂₄σ₃₄-2σ₁₂⁶σ₁₄σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂⁴σ₁₄σ₂₂σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂⁵σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₁₂³σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁σ₁₂⁵σ₂₃²σ₃₄²+4σ₁₁²σ₁₂³σ₂₂σ₂₃²σ₃₄²-2σ₁₁³σ₁₂σ₂₂²σ₂₃²σ₃₄²+σ₁₂⁷σ₃₃σ₃₄²-2σ₁₁σ₁₂⁵σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₁₂³σ₂₂²σ₃₃σ₃₄²-σ₁₁³σ₁₃σ₂₂²σ₂₃³σ₄₄-σ₁₁²σ₁₂³σ₂₃⁴σ₄₄+2σ₁₁³σ₁₂σ₂₂σ₂₃⁴σ₄₄+2σ₁₁σ₁₂⁵σ₂₃²σ₃₃σ₄₄-4σ₁₁²σ₁₂³σ₂₂σ₂₃²σ₃₃σ₄₄+2σ₁₁³σ₁₂σ₂₂²σ₂₃²σ₃₃σ₄₄-σ₁₂⁷σ₃₃²σ₄₄+2σ₁₁σ₁₂⁵σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₁₂³σ₂₂²σ₃₃²σ₄₄+σ₁₁³σ₁₃σ₂₂²σ₂₃³ω₄₄+σ₁₁²σ₁₂³σ₂₃⁴ω₄₄-2σ₁₁³σ₁₂σ₂₂σ₂₃⁴ω₄₄-2σ₁₁σ₁₂⁵σ₂₃²σ₃₃ω₄₄+4σ₁₁²σ₁₂³σ₂₂σ₂₃²σ₃₃ω₄₄-2σ₁₁³σ₁₂σ₂₂²σ₂₃²σ₃₃ω₄₄+σ₁₂⁷σ₃₃²ω₄₄-2σ₁₁σ₁₂⁵σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₁₂³σ₂₂²σ₃₃²ω₄₄,
-2σ₁₁σ₁₂⁴σ₁₄²σ₂₃⁴+σ₁₁²σ₁₂²σ₁₄²σ₂₂σ₂₃⁴+4σ₁₁²σ₁₂³σ₁₄σ₂₃⁴σ₂₄-2σ₁₁³σ₁₂σ₁₄σ₂₂σ₂₃⁴σ₂₄-2σ₁₁³σ₁₂²σ₂₃⁴σ₂₄²+σ₁₁⁴σ₂₂σ₂₃⁴σ₂₄²+σ₁₂⁶σ₁₄²σ₂₃²σ₃₃+2σ₁₁σ₁₂⁴σ₁₄²σ₂₂σ₂₃²σ₃₃-σ₁₁²σ₁₂²σ₁₄²σ₂₂²σ₂₃²σ₃₃-6σ₁₁σ₁₂⁵σ₁₄σ₂₃²σ₂₄σ₃₃+2σ₁₁²σ₁₂³σ₁₄σ₂₂σ₂₃²σ₂₄σ₃₃+4σ₁₁²σ₁₂⁴σ₂₃²σ₂₄²σ₃₃-2σ₁₁³σ₁₂²σ₂₂σ₂₃²σ₂₄²σ₃₃-σ₁₂⁶σ₁₄²σ₂₂σ₃₃²+2σ₁₂⁷σ₁₄σ₂₄σ₃₃²-2σ₁₁σ₁₂⁶σ₂₄²σ₃₃²+σ₁₁²σ₁₂⁴σ₂₂σ₂₄²σ₃₃²+4σ₁₁σ₁₂⁵σ₁₄σ₂₃³σ₃₄-6σ₁₁²σ₁₂³σ₁₄σ₂₂σ₂₃³σ₃₄+2σ₁₁³σ₁₂σ₁₄σ₂₂²σ₂₃³σ₃₄-2σ₁₁²σ₁₂⁴σ₂₃³σ₂₄σ₃₄+2σ₁₁³σ₁₂²σ₂₂σ₂₃³σ₂₄σ₃₄-2σ₁₂⁷σ₁₄σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂⁵σ₁₄σ₂₂σ₂₃σ₃₃σ₃₄+2σ₁₁σ₁₂⁶σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁²σ₁₂⁴σ₂₂σ₂₃σ₂₄σ₃₃σ₃₄-2σ₁₁σ₁₂⁶σ₂₃²σ₃₄²+4σ₁₁²σ₁₂⁴σ₂₂σ₂₃²σ₃₄²-2σ₁₁³σ₁₂²σ₂₂²σ₂₃²σ₃₄²+σ₁₂⁸σ₃₃σ₃₄²-2σ₁₁σ₁₂⁶σ₂₂σ₃₃σ₃₄²+σ₁₁²σ₁₂⁴σ₂₂²σ₃₃σ₃₄²-σ₁₁²σ₁₂⁴σ₂₃⁴σ₄₄+2σ₁₁³σ₁₂²σ₂₂σ₂₃⁴σ₄₄-σ₁₁⁴σ₂₂²σ₂₃⁴σ₄₄+2σ₁₁σ₁₂⁶σ₂₃²σ₃₃σ₄₄-4σ₁₁²σ₁₂⁴σ₂₂σ₂₃²σ₃₃σ₄₄+2σ₁₁³σ₁₂²σ₂₂²σ₂₃²σ₃₃σ₄₄-σ₁₂⁸σ₃₃²σ₄₄+2σ₁₁σ₁₂⁶σ₂₂σ₃₃²σ₄₄-σ₁₁²σ₁₂⁴σ₂₂²σ₃₃²σ₄₄+σ₁₁²σ₁₂⁴σ₂₃⁴ω₄₄-2σ₁₁³σ₁₂²σ₂₂σ₂₃⁴ω₄₄+σ₁₁⁴σ₂₂²σ₂₃⁴ω₄₄-2σ₁₁σ₁₂⁶σ₂₃²σ₃₃ω₄₄+4σ₁₁²σ₁₂⁴σ₂₂σ₂₃²σ₃₃ω₄₄-2σ₁₁³σ₁₂²σ₂₂²σ₂₃²σ₃₃ω₄₄+σ₁₂⁸σ₃₃²ω₄₄-2σ₁₁σ₁₂⁶σ₂₂σ₃₃²ω₄₄+σ₁₁²σ₁₂⁴σ₂₂²σ₃₃²ω₄₄

Total Effect of X₁ on X₄: λ₁₂λ₂₄+λ₁₃λ₃₄ Identified

Each Parameter Identified

Vanishing Ideal

Constraint Set:

σ₁₂σ₁₃-σ₁₁σ₂₃

All constraints are determinantal

Trek-separation:

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