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Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A directly affects B.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=2__causal_relation=parent__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A influences B through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=2__causal_relation=non-parent_ancestor__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B directly affects A.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=2__causal_relation=child__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B influences A through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=2__causal_relation=non-child_descendant__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A and B together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=2__causal_relation=has_collider__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both A and B.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=2__causal_relation=has_confounder__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A directly affects C.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=3__causal_relation=parent__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A influences C through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=3__causal_relation=non-parent_ancestor__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C directly affects A.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=3__causal_relation=child__prob=0.62
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C influences A through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=3__causal_relation=non-child_descendant__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A and C together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=3__causal_relation=has_collider__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both A and C.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=3__causal_relation=has_confounder__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A directly affects D.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=4__causal_relation=parent__prob=0.50
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A influences D through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=4__causal_relation=non-parent_ancestor__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D directly affects A.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=4__causal_relation=child__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D influences A through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=4__causal_relation=non-child_descendant__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A and D together cause some other variable(s).
contradiction
num_nodes=4__mec_id=9__node_i=1__node_j=4__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both A and D.
neutral
num_nodes=4__mec_id=9__node_i=1__node_j=4__causal_relation=has_confounder__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B directly affects A.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=1__causal_relation=parent__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B influences A through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=1__causal_relation=non-parent_ancestor__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A directly affects B.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=1__causal_relation=child__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A influences B through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=1__causal_relation=non-child_descendant__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B and A together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=1__causal_relation=has_collider__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both B and A.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=1__causal_relation=has_confounder__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B directly affects C.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=3__causal_relation=parent__prob=0.50
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B influences C through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=3__causal_relation=non-parent_ancestor__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C directly affects B.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=3__causal_relation=child__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C influences B through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=3__causal_relation=non-child_descendant__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B and C together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=3__causal_relation=has_collider__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both B and C.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=3__causal_relation=has_confounder__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B directly affects D.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=4__causal_relation=parent__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B influences D through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=4__causal_relation=non-parent_ancestor__prob=0.50
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D directly affects B.
contradiction
num_nodes=4__mec_id=9__node_i=2__node_j=4__causal_relation=child__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D influences B through some mediator(s).
contradiction
num_nodes=4__mec_id=9__node_i=2__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B and D together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=4__causal_relation=has_collider__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both B and D.
neutral
num_nodes=4__mec_id=9__node_i=2__node_j=4__causal_relation=has_confounder__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C directly affects A.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=1__causal_relation=parent__prob=0.62
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C influences A through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=1__causal_relation=non-parent_ancestor__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A directly affects C.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=1__causal_relation=child__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A influences C through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=1__causal_relation=non-child_descendant__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C and A together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=1__causal_relation=has_collider__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both C and A.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=1__causal_relation=has_confounder__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C directly affects B.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=2__causal_relation=parent__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C influences B through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=2__causal_relation=non-parent_ancestor__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B directly affects C.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=2__causal_relation=child__prob=0.50
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B influences C through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=2__causal_relation=non-child_descendant__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C and B together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=2__causal_relation=has_collider__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both C and B.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=2__causal_relation=has_confounder__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C directly affects D.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=4__causal_relation=parent__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C influences D through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=4__causal_relation=non-parent_ancestor__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D directly affects C.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=4__causal_relation=child__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D influences C through some mediator(s).
contradiction
num_nodes=4__mec_id=9__node_i=3__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C and D together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=4__causal_relation=has_collider__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both C and D.
neutral
num_nodes=4__mec_id=9__node_i=3__node_j=4__causal_relation=has_confounder__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D directly affects A.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=1__causal_relation=parent__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D influences A through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=1__causal_relation=non-parent_ancestor__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A directly affects D.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=1__causal_relation=child__prob=0.50
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
A influences D through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=1__causal_relation=non-child_descendant__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D and A together cause some other variable(s).
contradiction
num_nodes=4__mec_id=9__node_i=4__node_j=1__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both D and A.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=1__causal_relation=has_confounder__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D directly affects B.
contradiction
num_nodes=4__mec_id=9__node_i=4__node_j=2__causal_relation=parent__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D influences B through some mediator(s).
contradiction
num_nodes=4__mec_id=9__node_i=4__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B directly affects D.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=2__causal_relation=child__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
B influences D through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=2__causal_relation=non-child_descendant__prob=0.50
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D and B together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=2__causal_relation=has_collider__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both D and B.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=2__causal_relation=has_confounder__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D directly affects C.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=3__causal_relation=parent__prob=0.12
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D influences C through some mediator(s).
contradiction
num_nodes=4__mec_id=9__node_i=4__node_j=3__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C directly affects D.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=3__causal_relation=child__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
C influences D through some mediator(s).
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=3__causal_relation=non-child_descendant__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
D and C together cause some other variable(s).
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=3__causal_relation=has_collider__prob=0.25
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A correlates with B. A correlates with C. A correlates with D. B correlates with C. B correlates with D. C correlates with D. However, B and D are independent given A. B and D are independent given A and C. C and D are independent given A. C and D are independent given A and B.
Some variable(s) cause(s) both D and C.
neutral
num_nodes=4__mec_id=9__node_i=4__node_j=3__causal_relation=has_confounder__prob=0.38
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A directly affects B.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=2__causal_relation=parent__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A influences B through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
B directly affects A.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=2__causal_relation=child__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
B influences A through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=2__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A and B together cause some other variable(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=2__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
Some variable(s) cause(s) both A and B.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=2__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A directly affects C.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=3__causal_relation=parent__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A influences C through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=3__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
C directly affects A.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=3__causal_relation=child__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
C influences A through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=3__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A and C together cause some other variable(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=3__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
Some variable(s) cause(s) both A and C.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=3__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A directly affects D.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=4__causal_relation=parent__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A influences D through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=4__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
D directly affects A.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=4__causal_relation=child__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
D influences A through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A and D together cause some other variable(s).
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=4__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
Some variable(s) cause(s) both A and D.
contradiction
num_nodes=4__mec_id=0__node_i=1__node_j=4__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
B directly affects A.
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=1__causal_relation=parent__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
B influences A through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A directly affects B.
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=1__causal_relation=child__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
A influences B through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=1__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
B and A together cause some other variable(s).
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=1__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
Some variable(s) cause(s) both B and A.
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=1__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
B directly affects C.
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=3__causal_relation=parent__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
B influences C through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=3__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
C directly affects B.
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=3__causal_relation=child__prob=0.00
Suppose there is a closed system of 4 variables, A, B, C and D. All the statistical relations among these 4 variables are as follows: A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given D. A is independent of D. A and D are independent given B. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given B.
C influences B through some mediator(s).
contradiction
num_nodes=4__mec_id=0__node_i=2__node_j=3__causal_relation=non-child_descendant__prob=0.00