msep {ggm}

The m-separation criterion

Description

msep determines whether two set of nodes are m-separated by a third set of nodes.

Usage

msep(a, alpha, beta, C = c())

Arguments

a

An adjacency matrix, or a graph that can be a graphNEL or an igraph object or a vector of length 3e, where e is the number of edges of the graph, that is a sequence of triples (type, node1label, node2label). The type of edge can be "a" (arrows from node1 to node2), "b" (arcs), and "l" (lines).

alpha

A subset of the node set of a

beta

Another disjoint subset of the node set of a

C

A third disjoint subset of the node set of a

Value

A logical value. TRUE if alpha and beta are m-separated given C. FALSE otherwise.

Author(s)

Kayvan Sadeghi

References

Richardson, T.S. and Spirtes, P. (2002) Ancestral graph Markov models. Annals of Statistics, 30(4), 962-1030.

Sadeghi, K. and Lauritzen, S.L. (2014). Markov properties for loopless mixed graphs. Bernoulli 20(2), 676-696.

See Also

dSep, MarkEqMag

Examples

H <-matrix(c(0,0,0,0,
	         1,0,0,1,
	         0,1,0,0,
	         0,0,0,0),4,4)
msep(H,1,4, 2)
msep(H,1,4, c())