[DEPRECATED] Find possible descendants on definite status paths.
This function is DEPRECATED! Use possDe
instead.
In a DAG, CPDAG, MAG or PAG determine which nodes are possible descendants of x on definite status paths.
possibleDe(amat, x)
amat |
adjacency matrix of type amat.pag |
x |
(integer) position of node x (node of interest) in the adjacency matrix. |
A non-endpoint vertex X
on a path p
in a partial mixed
graph is said to be of a definite status if it is either a collider or a
definite non-collider on p
. The path p
is said to be of a
definite status if all non-endpoint vertices on the path are of a
definite status (see e.g. Maathuis and Colombo (2015), Def. 3.4).
A possible descendent of x can be reached moving to adjacent nodes of x but never going against an arrowhead.
Vector with possible descendents.
Diego Colombo
M.H. Maathuis and D. Colombo (2015). A generalized back-door criterion. Annals of Statistics 43 1060-1088.
amat <- matrix( c(0,3,0,0,0,0, 2,0,2,0,0,0, 0,3,0,0,0,0, 0,0,0,0,1,0, 0,0,0,1,0,1, 0,0,0,0,1,0), 6,6) colnames(amat) <- rownames(amat) <- letters[1:6] if(require(Rgraphviz)) { plotAG(amat) } possibleDe(amat, 1) ## a, b are poss. desc. of a possibleDe(amat, 4) ## d, e, f are poss. desc. of d
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