unmakeMG

Splits the adjacency matrix of a loopless mixed graph into three components:
 directed, undirected and bi-directed.

multivariate

models

graphs

ancestral graph

mixed graph

Provides functions for defining
mixed graphs containing three types of edges, directed,
undirected and bi-directed, with possibly multiple edges.
These graphs are useful because they capture fundamental
independence structures in multivariate distributions
and in the induced distributions after marginalization
and conditioning.
The package is especially concerned with Gaussian graphical
models for
(i) ML estimation for directed acyclic graphs, undirected and
bi-directed graphs and ancestral graph models
(ii) testing several conditional independencies
(iii) checking global identification of DAG Gaussian models
with one latent variable
(iv) testing Markov equivalences and generating Markov
equivalent graphs of specific types.

Giovanni M Marchetti

Graphical Markov Models with Mixed Graphs

Giovanni M. Marchetti

Mathias Drton

Kayvan Sadeghi

unmakeMG function

<dl> <dt>amat</dt>
<dd>a square matrix, with dimnames, representing a
 loopless mixed graph. The matrix consists of 4 different integers as
an \(ij\)-element: 0 for a missing
edge between \(i\) and \(j\), 1 for an arrow from \(i\) to \(j\), 10 for a full line between \(i\) and \(j\), and 100 for a bi-directed arrow between \(i\) and \(j\). These numbers are added to be associated with multiple edges of different types. The matrix is symmetric w.r.t full lines and bi-directed arrows.</dd></dl>

Arguments

Mathias Drton, Giovanni M. Marchetti

Author

Loopless mixed graphs components — unmakeMG

<dl>

 <dt>amat</dt>
<dd>a square matrix, with dimnames, representing a
 loopless mixed graph. The matrix consists of 4 different integers as
an \(ij\)-element: 0 for a missing
edge between \(i\) and \(j\), 1 for an arrow from \(i\) to \(j\), 10 for a full line between \(i\) and \(j\), and 100 for a bi-directed arrow between \(i\) and \(j\). These numbers are added to be associated with multiple edges of different types. The matrix is symmetric w.r.t full lines and bi-directed arrows.</dd>

</dl>

unmakeMG: Loopless mixed graphs components

Description

Usage

Value

Arguments

Author

Details

See Also

Examples