Anonymous posted on Wednesday, August 18, 2004 - 12:02 pm
I want to know if Mplus 2 or 3 is capable of analyzing correlation structure with correlation matrix and its asymptotic covariance matrix only. I know that LISREL and Mx can handle correlation structure with WLS estimation method while EQS cannot.
The covariance matrix that is referred to is the model estimated covariance matrix not the sample matrix. You can look at the standardized solution to see if you see a residual covariance related to OR is one. If you cannot see the problem using the suggestions in the error message, please send the input, data, output, and your license number to firstname.lastname@example.org.
1) I am wondering if it is appropriate to specify single-item demographic variables (e.g., Age) to correlate with all of the latent variables (Age WITH F1 F2 F3) and obtain values for a measurement model correlation matrix (I have done this and the output is provided in the STDYX section). I am wanting to do this because a) I need to assess nomological validity of a latent construct and include Age in correlation matrix, and b) because I will be needing to include Age in structural model (so it seems it should also be part of measurement model).
2) Related to this, I have followed what many others have done in the literature previously and used mean scores of the latent variables and obtained a correlation matrix in SPSS. While I was expecting differences in correlation levels due to measurement error – I was very surprised that they could be SO different. For example, my model has some latent contructs with discriminant validity concerns – which have correlations of approximately .85 in measurement model, but only .65 when using mean scores (with reliabilities >.8). While the mean score approach provides support for discriminant validity, it does not seem feasible that I can present these two very different correlation tables without being able to more adequately explain such large discrepancies.
Any information and guidance you could give would be much appreciated. Thanks!
1) You can do this, but you can also use regression F1-F3 ON Age.
2) It sounds like you are comparing model-estimated and factor score-based factor correlations. I would use the former.
Steve posted on Wednesday, July 03, 2013 - 2:58 pm
Thank you so much for your quick response. I will proceed as you suggest. If may ask a quick follow-up question:
Would you be able to tell me how to explain why when I correlate only two latent constructs in Mplus their correlation is .584, but their correlation in the full measurement model (with other latent constructs) changes slightly to .586 (e.g., one rounds to .59 and the other to .58!)? I have to do this and need to be able to explain why they are slightly different.