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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 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 C together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__node_i=2__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 B and C. | contradiction | num_nodes=4__mec_id=0__node_i=2__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. | B directly affects D. | contradiction | num_nodes=4__mec_id=0__node_i=2__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. | B influences D through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=2__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 B. | contradiction | num_nodes=4__mec_id=0__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 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 B through some mediator(s). | contradiction | num_nodes=4__mec_id=0__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 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 D together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__node_i=2__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 B and D. | contradiction | num_nodes=4__mec_id=0__node_i=2__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. | C directly affects A. | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | C influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C. | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | C and A together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C and A. | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | C directly affects B. | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | C influences B through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C. | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | C and B together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C and B. | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | C directly affects D. | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | C influences D through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C. | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C through some mediator(s). | contradiction | num_nodes=4__mec_id=0__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 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 and D together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__node_i=3__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 C and D. | contradiction | num_nodes=4__mec_id=0__node_i=3__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. | D directly affects A. | contradiction | num_nodes=4__mec_id=0__node_i=4__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. | D influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=4__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 D. | contradiction | num_nodes=4__mec_id=0__node_i=4__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 D through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=4__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. | D and A together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__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 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 D and A. | contradiction | num_nodes=4__mec_id=0__node_i=4__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. | D directly affects B. | contradiction | num_nodes=4__mec_id=0__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 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 B through some mediator(s). | contradiction | num_nodes=4__mec_id=0__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 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 D. | contradiction | num_nodes=4__mec_id=0__node_i=4__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 D through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=4__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. | D and B together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__node_i=4__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 D and B. | contradiction | num_nodes=4__mec_id=0__node_i=4__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. | D directly affects C. | contradiction | num_nodes=4__mec_id=0__node_i=4__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. | D influences C through some mediator(s). | contradiction | num_nodes=4__mec_id=0__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 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 D. | contradiction | num_nodes=4__mec_id=0__node_i=4__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 D through some mediator(s). | contradiction | num_nodes=4__mec_id=0__node_i=4__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. | D and C together cause some other variable(s). | contradiction | num_nodes=4__mec_id=0__node_i=4__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 D and C. | contradiction | num_nodes=4__mec_id=0__node_i=4__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A directly affects B. | neutral | num_nodes=4__mec_id=16__node_i=1__node_j=2__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A influences B through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B directly affects A. | neutral | num_nodes=4__mec_id=16__node_i=1__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A and B together cause some other variable(s). | entailment | num_nodes=4__mec_id=16__node_i=1__node_j=2__causal_relation=has_collider__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both A and B. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A directly affects C. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A influences C through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C directly affects A. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A and C together cause some other variable(s). | entailment | num_nodes=4__mec_id=16__node_i=1__node_j=3__causal_relation=has_collider__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both A and C. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A directly affects D. | entailment | num_nodes=4__mec_id=16__node_i=1__node_j=4__causal_relation=parent__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A influences D through some mediator(s). | neutral | num_nodes=4__mec_id=16__node_i=1__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D directly affects A. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A and D together cause some other variable(s). | contradiction | num_nodes=4__mec_id=16__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both A and D. | neutral | num_nodes=4__mec_id=16__node_i=1__node_j=4__causal_relation=has_confounder__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B directly affects A. | neutral | num_nodes=4__mec_id=16__node_i=2__node_j=1__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A directly affects B. | neutral | num_nodes=4__mec_id=16__node_i=2__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A influences B through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B and A together cause some other variable(s). | entailment | num_nodes=4__mec_id=16__node_i=2__node_j=1__causal_relation=has_collider__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both B and A. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B directly affects C. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B influences C through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C directly affects B. | contradiction | num_nodes=4__mec_id=16__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C influences B through some mediator(s). | contradiction | num_nodes=4__mec_id=16__node_i=2__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B and C together cause some other variable(s). | entailment | num_nodes=4__mec_id=16__node_i=2__node_j=3__causal_relation=has_collider__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both B and C. | contradiction | num_nodes=4__mec_id=16__node_i=2__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B directly affects D. | entailment | num_nodes=4__mec_id=16__node_i=2__node_j=4__causal_relation=parent__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B influences D through some mediator(s). | neutral | num_nodes=4__mec_id=16__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D directly affects B. | contradiction | num_nodes=4__mec_id=16__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D influences B through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B and D together cause some other variable(s). | contradiction | num_nodes=4__mec_id=16__node_i=2__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both B and D. | neutral | num_nodes=4__mec_id=16__node_i=2__node_j=4__causal_relation=has_confounder__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C directly affects A. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A directly affects C. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | A influences C through some mediator(s). | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C and A together cause some other variable(s). | entailment | num_nodes=4__mec_id=16__node_i=3__node_j=1__causal_relation=has_collider__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both C and A. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C directly affects B. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C influences B through some mediator(s). | contradiction | num_nodes=4__mec_id=16__node_i=3__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B directly affects C. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | B influences C through some mediator(s). | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C and B together cause some other variable(s). | entailment | num_nodes=4__mec_id=16__node_i=3__node_j=2__causal_relation=has_collider__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both C and B. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C directly affects D. | entailment | num_nodes=4__mec_id=16__node_i=3__node_j=4__causal_relation=parent__prob=1.00 |
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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C influences D through some mediator(s). | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D directly affects C. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D influences C through some mediator(s). | contradiction | num_nodes=4__mec_id=16__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | C and D together cause some other variable(s). | contradiction | num_nodes=4__mec_id=16__node_i=3__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 D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | Some variable(s) cause(s) both C and D. | contradiction | num_nodes=4__mec_id=16__node_i=3__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D directly affects A. | contradiction | num_nodes=4__mec_id=16__node_i=4__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 correlates with B. A correlates with D. B correlates with D. C correlates with D. However, A is independent of C. A and C are independent given B. B is independent of C. B and C are independent given A. | D influences A through some mediator(s). | contradiction | num_nodes=4__mec_id=16__node_i=4__node_j=1__causal_relation=non-parent_ancestor__prob=0.00 |
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