I have to model an interaction between a manifest and a latent variable in a Sem. In the first version of the paper I modeled it as the product between the manifest variable and the factorial score of the latent variable. However, an anonymous reviewer asked me to model it as a latent variable.
I would prefer not to follow this suggestion. Could you please suggest me some papers I could cite to support my decision not to follow this suggestion?
Rob1 and Rob 2 are both latent variables measured by five indicators at two time points, representing performance. age is subjects' chronological age, and age 2 is age squared. Model is identified following standard procedures, and both interaction terms are defined as random slopes (option "random" enabled).
I would like to obtain standardized parameters estimates. Can you, please, to suggest a way to expand the formulation you offered in your webnote "latent Variable interaction", Muthén, 20 September, 2012, paragraph 1.4. I thank you in advance. Lotti
lotti posted on Thursday, April 04, 2013 - 7:57 pm
Dear Prof. Muthén,
first of all thank you for your quick answer.
Since B1 represents the stability of performance, I would like to have the standardized value of B1 at diferent levels of moderators (age and age2). In this regard, following your webnote, I was able to derive the moderating function for unstandardized terms and to build a graph. However, the use of standardized values could make the interpretation of changes in the stability of performance more readily understandable. What do you think? Thank you so much for your availability and your time.