Standardized Residual Covariances

[Rob]

I just noticed that when I ask for the standardized residual covariances in AMOS and lavaan that the lavaan estimates are much larger (about twice as large). The model was the Holzinger & Swineford CFA with verbal/spatial factors. In lavaan these are obtained via residuals(fit, type="standardized"). In AMOS, these are obtained by asking for the residuals and the standardized solution.

Has anyone else noticed this? Any ideas?

[kma...@aol.com]

I no longer have access to Amos.  However, the term 'standardized residuals' can mean different things in different contexts.  Perhaps you are seeking what lavaan calls correlation residuals.  These are the raw residuals standardized to a correlation metric.  The standardized residuals are z scores.

From the lavaan class help file:
>>>

If type="cor", the observed and model implied covariance matrix is first transformed to a correlation matrix (using cov2cor), before the residuals are computed. If 

...

If type="standardized", the residuals are divided by the square root of the difference between an asymptotic variance estimate of the corresponding sample statistic and an asymptotic variance estimate of the corresponding model-implied statistic. In the latter case, the residuals have a metric similar to z-values.

>>>

------------------------
Keith A. Markus
John Jay College of Criminal Justice, CUNY
http://jjcweb.jjay.cuny.edu/kmarkus
Frontiers of Test Validity Theory: Measurement, Causation and Meaning.
http://www.routledge.com/books/details/9781841692203/

[Nate Breznau]

Rob, Keith and Yves (hopefully), 

It seems like this is the right place to ask this as it is a similar problem.

I have a model that I am running in Mplus and lavaan, the model is identical. Residuals are identical for covariance residuals and standardized residuals; however standardized residuals are not the same. The citation given by Yves in his 'Package-lavaan' documentation (Feb, 2017 edition) suggests that they are the same. Any ideas on this one?

Many thanks!

[Rob Cribbie]

Hi Nate,

In your message you say "Residuals are identical for ... standardized residuals; however standardized residuals are not the same". You might want to clarify.

Unfortunately I don't have MPlus, but when I was comparing between AMOS and lavaan what lavaan called "normalized residuals" was what AMOS calls "standardized residuals". I trust Yves.

Rob

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[Nate Breznau]

Oh my, silly typo. Normalized and covariance residuals are the same I also checked Stata and they are the same, but standardized not. Sorry about that!

_____________________________

Nate Breznau

Postdoctoral Fellow

Mannheim Centre for European Social Research (MZES)

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On Tue, Mar 28, 2017 at 6:28 PM, Rob Cribbie <cri...@yorku.ca> wrote:

Hi Nate,

In your message you say "Residuals are identical for ... standardized residuals; however standardized residuals are not the same". You might want to clarify.

Unfortunately I don't have MPlus, but when I was comparing between AMOS and lavaan what lavaan called "normalized residuals" was what AMOS calls "standardized residuals". I trust Yves.

Rob

On 3/28/2017 10:22 AM, Nate Breznau wrote:

Rob, Keith and Yves (hopefully), 

It seems like this is the right place to ask this as it is a similar problem.

I have a model that I am running in Mplus and lavaan, the model is identical. Residuals are identical for covariance residuals and standardized residuals; however standardized residuals are not the same. The citation given by Yves in his 'Package-lavaan' documentation (Feb, 2017 edition) suggests that they are the same. Any ideas on this one?

Many thanks!

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