
Parameter: λ12
Parameter: λ23
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12
Parameter: ω13
Parameter: ω22
Parameter: ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Total Effect of X1 on X3: λ12λ23
Constraint Set:
σ34,
σ24,
σ14
All constraints are determinantal
Trek-separation:
{1,2,3} ⊥ {4} | ({},{})
{1,2,3} ⊥ {3,4} | ({},{3})
{1,2,3} ⊥ {2,4} | ({},{2})
{1,2,3} ⊥ {1,4} | ({},{1})
{1,2,3} ⊥ {2,3,4} | ({},{2,3})
{1,2,3} ⊥ {1,3,4} | ({},{1,3})
{1,2,3} ⊥ {1,2,4} | ({},{1,2})
Parameter: λ23
Parameter: ω11 Identified
Algebraic Equations:
-σ11+ω11
Parameter: ω12
Parameter: ω13
Parameter: ω22
Parameter: ω33
Parameter: ω44 Identified
Algebraic Equations:
-σ44+ω44
Total Effect of X1 on X3: λ12λ23
Vanishing Ideal
Constraint Set:
σ34,
σ24,
σ14
All constraints are determinantal
Trek-separation:
{1,2,3} ⊥ {4} | ({},{})
{1,2,3} ⊥ {3,4} | ({},{3})
{1,2,3} ⊥ {2,4} | ({},{2})
{1,2,3} ⊥ {1,4} | ({},{1})
{1,2,3} ⊥ {2,3,4} | ({},{2,3})
{1,2,3} ⊥ {1,3,4} | ({},{1,3})
{1,2,3} ⊥ {1,2,4} | ({},{1,2})