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Mplus Discussion > Confirmatory Factor Analysis >
 Laura Valadez posted on Tuesday, October 27, 2009 - 6:11 am
Dear Drs. Muthen,

I am running a measurement model with continuous and categorical indicators. However, the standardized results section is only providing the first column (only the estimate and not the SE, Est/SE, and pvalue). Why is this happening?

I deeply appreciate your help,

Best regards,

Laura Valadez
 Linda K. Muthen posted on Tuesday, October 27, 2009 - 7:59 am
We do not give standard errors for standardized parameters with weighted least squares estimation when the model contains covariates.
 Laura Valadez posted on Tuesday, October 27, 2009 - 8:35 am
Dear Linda,

Thank you very much, this is very helpful. A follow up question then, could I assume similar p-values for the standardized output based on the non-standardized results?

thanks again,

have a great day,

 Linda K. Muthen posted on Tuesday, October 27, 2009 - 11:17 am
They will not be exactly the same but should be close.
 Marco posted on Saturday, March 03, 2012 - 2:33 am
Could you please tell me exactly how the standardised loadings are calculated for binary variables in a one-factor model in MPLUS? I'm basically running an IRT model with one factor and I understand the relationship between IRT discrimination and Item Factor Analysis loadings. However I'm less clear about how MPLUS standardises the loadings.

I remember reading somewhere that the standardised loadings are
= unstd. loading * SD(Theta) / SD(y)

However, I'm not sure where to get SD(y)in MPLUS or whether this formula is valid for binary indicators.I'm also getting different standardised estimates in other software which returns the same unstandardised estimates as MPLUS.

So basically I have two questions:
1) What is the full loading standardisation formula used by MPLUS for binary variables?
2) Where would one get all the figures used for the standardisation in the MPLUS output (assuming that these are contained in OUTPUT TECH10 and STDYX)?

Many thanks

 Linda K. Muthen posted on Saturday, March 03, 2012 - 8:42 am
1. See Techncical Appendix 3 on the website. The variance of an indicator is equal to lamba squared times the variance of the factor plus the residual variance of the factor indicator. The residual variance is one for probit and pi squared divided by 3 for logistic.

2. The factor loadings are found in the results. The factor variance can be found in the results for an unconditional model and TECH4 for a conditional model.
 Marco posted on Tuesday, March 06, 2012 - 1:06 am
Linda, thank you very much.

I have one last question. I'd like to construct an ICC residual plot (observed proportion correct for a given theta level by expected proportion correct or the ICC)
for non-technical audience who may not understand the chi-square margins.
How would you do this in Mplus? As far as I understand none of the plots produced in the output can do this, but there must be a way to extract both
observed and estimated proportions by theta for each item and then plot them in Excel or similar.

Many thanks

 Linda K. Muthen posted on Tuesday, March 06, 2012 - 12:11 pm
I think the best you can do is compare our ICC plot values for the estimated probabilities at different Theta values from the gph file with a plot of proportion correct related to estimated factor scores that you discretize into bins.
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