Extract all possible paths from one variable to another connected component in a latent variable model. In an estimated model the effect size is decomposed into direct, indirect and total effects including approximate standard errors.

```
# S3 method for lvm
path (object, to = NULL, from, all=FALSE, ...)
# S3 method for lvmfit
effects (object, to, from, ...)
```

- object
Model object (

`lvm`

)- ...
Additional arguments to be passed to the low level functions

- to
Outcome variable (string). Alternatively a formula specifying response and predictor in which case the argument

`from`

is ignored.- from
Response variable (string), not necessarily directly affected by

`to`

.- all
If TRUE all simple paths (in undirected graph) is returned on/off.

If `object`

is of class `lvmfit`

a list with the following
elements is returned

- idx
A list where each element defines a possible pathway via a integer vector indicating the index of the visited nodes.

- V
A List of covariance matrices for each path.

- coef
A list of parameters estimates for each path

- path
A list where each element defines a possible pathway via a character vector naming the visited nodes in order.

- edges
Description of 'comp2'

If `object`

is of class `lvm`

only the `path`

element will be
returned.

The `effects`

method returns an object of class `effects`

.

For a `lvmfit`

-object the parameters estimates and their
corresponding covariance matrix are also returned. The
`effects`

-function additionally calculates the total and indirect
effects with approximate standard errors

`children`

, `parents`

```
m <- lvm(c(y1,y2,y3)~eta)
regression(m) <- y2~x1
latent(m) <- ~eta
regression(m) <- eta~x1+x2
d <- sim(m,500)
e <- estimate(m,d)
path(Model(e),y2~x1)
#> [[1]]
#> [1] "x1" "y2"
#>
#> [[2]]
#> [1] "x1" "eta" "y2"
#>
parents(Model(e), ~y2)
#> [1] "eta" "x1"
children(Model(e), ~x2)
#> [1] "eta"
children(Model(e), ~x2+eta)
#> [1] "eta" "y1" "y2" "y3"
effects(e,y2~x1)
#> Estimate Std.Err z value Pr(>|z|)
#> Total 2.0041 0.06400 31.31 3.111e-215
#> Direct 0.9491 0.07118 13.33 1.460e-40
#> Indirect 1.0549 0.07285 14.48 1.599e-47
#> y2~eta~x1 1.0549 0.07285 14.48 1.599e-47
#>
#> Estimate 2.5% 97.5%
#> Mediation proportion 0.5264 0.4633 0.5895
## All simple paths (undirected)
path(m,y1~x1,all=TRUE)
#> [[1]]
#> [1] "x1" "y2" "eta" "y1"
#>
#> [[2]]
#> [1] "x1" "eta" "y1"
#>
```