# EquivalentModels

From dagitty v0.2-2
by Johannes Textor

##### Generating Equivalent Models

`equivalenceClass(x)`

generates a complete partially directed acyclic graph
(CPDAG) from an input DAG `x`

. The CPDAG represents all graphs that are Markov
equivalent to `x`

: undirected
edges in the CPDAG can be oriented either way, as long as this does not create a cycle
or a new v-structure (a sugraph a -> m <- b, where a and b are not adjacent).

##### Usage

```
equivalenceClass(x)
equivalentDAGs(x, n = 100)
```

##### Arguments

- x
- the input graph, a DAG.
- n
- maximal number of returned graphs.

##### Details

`equivalentDAGs(x,n)`

enumerates at most `n`

DAGs that are Markov equivalent
to `x`

.

##### Examples

```
# How many equivalent DAGs are there for the sports DAG example?
g <- getExample("Shrier")
length(equivalentDAGs(g))
# Plot all equivalent DAGs
par( mfrow=c(2,3) )
lapply( equivalentDAGs(g), plot )
# How many edges can be reversed without changing the equivalence class?
sum(edges(equivalenceClass(g))$e == "--")
```

*Documentation reproduced from package dagitty, version 0.2-2, License: GPL-2*

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