svyfactanal {survey} R Documentation

## Factor analysis in complex surveys (experimental).

### Description

This function fits a factor analysis model or SEM, by maximum weighted likelihood.

### Usage

```svyfactanal(formula, design, factors,
n = c("none", "sample", "degf","effective", "min.effective"), ...)
```

### Arguments

 `formula` Model formula specifying the variables to use `design` Survey design object `factors` Number of factors to estimate `n` Sample size to be used for testing: see below `...` Other arguments to pass to `factanal`.

### Details

The population covariance matrix is estimated by `svyvar` and passed to `factanal`

Although fitting these models requires only the estimated covariance matrix, inference requires a sample size. With `n="sample"`, the sample size is taken to be the number of observations; with `n="degf"`, the survey degrees of freedom as returned by `degf`. Using `"sample"` corresponds to standardizing weights to have mean 1, and is known to result in anti-conservative tests.

The other two methods estimate an effective sample size for each variable as the sample size where the standard error of a variance of a Normal distribution would match the design-based standard error estimated by `svyvar`. With `n="min.effective"` the minimum sample size across the variables is used; with `n="effective"` the harmonic mean is used. For `svyfactanal` the test of model adequacy is optional, and the default choice, `n="none"`, does not do the test.

### Value

An object of class `factanal`

### References

.

`factanal`

The `lavaan.survey` package fits structural equation models to complex samples using similar techniques.

### Examples

```data(api)
dclus1<-svydesign(id=~dnum, weights=~pw, data=apiclus1, fpc=~fpc)

svyfactanal(~api99+api00+hsg+meals+ell+emer, design=dclus1, factors=2)

svyfactanal(~api99+api00+hsg+meals+ell+emer, design=dclus1, factors=2, n="effective")

##Population dat for comparison
factanal(~api99+api00+hsg+meals+ell+emer, data=apipop, factors=2)

```

[Package survey version 4.1-1 Index]