lavaan (version 0.5-17)

lavTestLRT: LRT test

Description

LRT test for comparing two (nested) lavaan models.

Usage

lavTestLRT(object, ..., SB.classic = TRUE, SB.H0 = FALSE, 
           type = "Chisq", model.names = NULL)
anova(object, ...)

Arguments

object

An object of class lavaan.

...

additional objects of class lavaan.

SB.classic

Logical. Only used if the test statistics are scaled (eg. Satorra-Bentler corrected). If TRUE, the scaled difference test statistics are computed by simple (approximate) formulas as described in Satorra & Bentler (2001). If FALSE

SB.H0

Not used yet

type

Character. If "Chisq", the test statistic for each model is the (scaled or unscaled) model fit test statistic. If "Cf", the test statistic for each model is computed by the lav

model.names

Character vector. If provided, use these model names in the first column of the anova table.

Value

• An object of class anova. When given a single argument, it simply returns the test statistic of this model. When given a sequence of objects, this function tests the models against one another in the order specified.

Details

The anova function for lavaan objects simply calls the lavTestLRT function, which has a few additional arguments.

If type = "Chisq" and the test statistics are scaled, a special scaled difference test is computed as described in Satorra (2000).

References

Satorra, A. (2000). Scaled and adjusted restricted tests in multi-sample analysis of moment structures. In Heijmans, R.D.H., Pollock, D.S.G. & Satorra, A. (eds.), Innovations in multivariate statistical analysis. A Festschrift for Heinz Neudecker (pp.233-247). London: Kluwer Academic Publishers.

Satorra, A., & Bentler, P. M. (2001). A scaled difference chi-square test statistic for moment structure analysis. Psychometrika, 66(4), 507-514.

Examples

HS.model <- '
    visual  =~ x1 + b1*x2 + x3
    textual =~ x4 + b2*x5 + x6
    speed   =~ x7 + b3*x8 + x9
'
fit1 <- cfa(HS.model, data = HolzingerSwineford1939)
fit0 <- cfa(HS.model, data = HolzingerSwineford1939, 
            orthogonal = TRUE)
lavTestLRT(fit1, fit0)