Character string. The possible options are
"satorra.bentler.2001", "satorra.bentler.2010" and
"satorra.2000". See details.
H1
Not used yet
A.method
Character string. The possible options are "exact"
and "delta". This is only used when method = "satorra.2000".
It determines how the Jacobian of the constraint function (the matrix A)
will be computed.
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
lavTablesFitCf function.
model.names
Character vector. If provided, use these model names in
the first column of the anova table.
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 statistic is computed. If method is
"satorra.bentler.2001", a simple approximation is used
described in Satorra & Bentler (2001). In some settings,
this can lead to a negative test statistic. To ensure a positive
test statistic, we can use the method proposed by
Satorra & Bentler (2010). Alternatively, when method is
"satorra.2000", the original formulas of Satorra (2000) are
used.
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.
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.
Satorra, A., & Bentler, P. M. (2010). Ensuring postiveness of the scaled
difference chi-square test statistic. Psychometrika, 75(2), 243-248.