R: ANOVA for ERGM Fits

anova.ergm {ergm} | R Documentation

## ANOVA for ERGM Fits

### Description

Compute an analysis of variance table for one or more ERGM fits.

### Usage

    ## S3 method for class 'ergm'
    anova(object, ..., eval.loglik = FALSE)

    ## S3 method for class 'ergmlist'
    anova(object, ..., eval.loglik = FALSE)

### Arguments

`object, ...` | objects of class `ergm`, usually, a result of a call to `ergm`.
`eval.loglik` | a logical specifying whether the log-likelihood will be evaluated if missing.

### Details

Specifying a single object gives a sequential analysis of variance table for that fit. That is, the reductions in the residual sum of squares as each term of the formula is added in turn are given in the rows of a table, plus the residual sum of squares.

The table will contain F statistics (and P values) comparing the mean square for the row to the residual mean square.

If more than one object is specified, the table has a row for the residual degrees of freedom and sum of squares for each model. For all but the first model, the change in degrees of freedom and sum of squares is also given. (This only make statistical sense if the models are nested.) It is conventional to list the models from smallest to largest, but this is up to the user.

Optionally the table can include test statistics. Normally the F statistic is most appropriate, which compares the mean square for a row to the residual sum of squares for the largest model considered. If `scale` is specified chi-squared tests can be used. Mallows' Cp statistic is the residual sum of squares plus twice the estimate of sigma^2 times the residual degrees of freedom.

If any of the objects do not have estimated log-likelihoods, produces an error, unless `eval.loglik=TRUE`.

### Value

An object of class `"anova"` inheriting from class `"data.frame"`.

### Warning

The comparison between two or more models will only be valid if they are fitted to the same dataset. This may be a problem if there are missing values and 's default of `na.action = na.omit` is used, and `anova.ergmlist` will detect this with an error.

### See Also

The model fitting function `ergm`, `anova`, `logLik.ergm` for adding the log-likelihood to an existing `ergm` object.

### Examples

    data(molecule)
    molecule %v% "atomic type" <- c(1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3)
    fit0 <- ergm(molecule ~ edges)
    anova(fit0)
    fit1 <- ergm(molecule ~ edges + nodefactor("atomic type"))
    anova(fit1)

    fit2 <- ergm(molecule ~ edges + nodefactor("atomic type") +  gwesp(0.5,
      fixed=TRUE), eval.loglik=TRUE) # Note the eval.loglik argument.
    anova(fit0, fit1)
    anova(fit0, fit1, fit2)

[Package ergm version 4.1.2 Index]