Latent variable interaction and logit PreviousNext
Mplus Discussion > Categorical Data Modeling >
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 Jan Olav Christensen posted on Friday, April 24, 2015 - 1:58 pm
Hi,

I am running a model with two latent exogenous variables, one observed categorical endogenous, and one latent variable interaction between the two latent exogenous variables. The link is logit, and the output gives an odds ratio for the regression of the outcome on the interaction term, but I am unsure of how to interpret this. Could you tell me what an odds ratio of 0.75 for the interaction term indicates?

Thank you!
 Bengt O. Muthen posted on Friday, April 24, 2015 - 11:11 pm
See our FAQ

Latent variable interactions

which tells you how to interpret interaction models with a continuous DV. Then just change that reasoning to apply to a logodds ratio (which is what we print). and then exponentiate that logodds ratio to get your answer.
 Franziska posted on Friday, August 14, 2015 - 11:02 am
Hi everyone,
I'm trying to run a probit regression model with latent EFA factors (out of the ESEM based on categorical variables).
The regression model is supposed to include interaction effects of one categorical variable with the latent factors.
However, if I run the analysis, I get this message:

*** ERROR in MODEL command
The use of EFA factors (ESEM) is not allowed with TYPE=RANDOM.

However, I need the TYPE=RANDOM statement to define the interactions.

Is my only possible solution to calculate the interactions first (with the factor scores of the latent factors) and then use this new datatset to run the regression? Even though I would like to run the model completely simultaneously. I would really appreciate any hint or comment.
 Franziska posted on Friday, August 14, 2015 - 12:31 pm
This would be the respective output.
Thanks for your help!!

CATEGORICAL ARE Arrogant-Social local knowledge esteem relevance usage;

USEVARIABLES = Arrogant-Social local knowledge esteem relevance usage;
Missing are all (-66);
IDVARIABLE = id;
AUXILIARY = brand categorySK categoryCD con;

MODEL: !The label 1 following an asterisk in parentheses specifies that the factors are a set of EFA factors;
f1-f8 BY Arrogant-Social(*1);
!latent variable interactions;
Int1 | local XWITH f1;
Int2 | local XWITH f2;
Int3 | local XWITH f3;
Int4 | local XWITH f4;
Int5 | local XWITH f5;
Int6 | local XWITH f6;
Int7 | local XWITH f7;
Int8 | local XWITH f8;

!simultaneous regressions for all dependent variables;
knowledge ON f1 f2 f3 f4 f5 f6 f7 f8 Int1 Int2 Int3 Int4 Int5 Int6 Int7 Int8;
esteem ON f1 f2 f3 f4 f5 f6 f7 f8 Int1 Int2 Int3 Int4 Int5 Int6 Int7 Int8;
relevance ON f1 f2 f3 f4 f5 f6 f7 f8 Int1 Int2 Int3 Int4 Int5 Int6 Int7 Int8;
usage ON f1 f2 f3 f4 f5 f6 f7 f8 Int1 Int2 Int3 Int4 Int5 Int6 Int7 Int8;

ANALYSIS: TYPE = RANDOM;
ITERATIONS = 10000;
SAVEDATA: FILE IS GERMANY05_FS8F,inv,aux.dat;
SAVE = FSCORES;
 Linda K. Muthen posted on Friday, August 14, 2015 - 2:36 pm
You cannot have interactions with ESEM factors.

Please limit posts to one window.
 Franziska posted on Friday, August 14, 2015 - 2:44 pm
Hi Linda,
thank you very much (and sorry for the two posts - I couldn't put the input into the first one).
Do you think it could be an option to use the factor scores out of the ESEM then and manually calculate the interaction effect and then run the regression?
I would greatly appreciate your opinion on this.
Thanks again!
 Linda K. Muthen posted on Friday, August 14, 2015 - 5:14 pm
Factor scores and factors are not the same unless factor score determinacy is extremely high. I don't this is a good option.

If you cannot fit the entire post in one window, it is too long for Mplus Discussion.
 Sara Erreygers posted on Friday, September 04, 2015 - 11:21 am
Dear prof. Muthen,

If ESEM factor scores are not a good option to model the interaction effect, is there a better alternative then to model an interaction between latent ESEM factors?
 Tihomir Asparouhov posted on Friday, September 04, 2015 - 8:23 pm
You can consider the ESEM-within-CFA (EwC) approach described here

http://www.vanderbilt.edu/psychological_sciences/graduate/programs/quantitative-methods/quantitative-content/marsh_morin_parker_kaur_2014.pdf
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