Can I conduct a second order LCA on two sets of related but not identical sets behaviors?
For example, risk behaviors and academic behaviors. I would expect them to be related to one another but not the same underlying construct.
Membership in each of the 2 first-order classes would be based on three binary indicators. For example, patterns of academic behaviors (c1) measured by 3 observed binary variables u11, u12, u13. Patterns of risk behaviors (c2) measured by and three observed binary variables u21, u22, u23.
Could I do a second order LCA to determine classes (f) of joint patterns of academic behaviors and risk behaviors?
Yes, this can be done. You have an example of a second-order LCA (actually a more complex LTA) in UG ex8.15. You have say 2 1st-order latent class variables c1 and c2 and a 2nd-order latent class variable c. You relate them by saying
Hi Dr Muthen, I am looking at the dyadic profiles of characteristics of husbands and wives (having run two independent LCAs for each group and achieved a two and a three-class solution for husbands, and I am looking at a joint LCA). In testing a second-order LCA, I understand that class invariance will have to be established across the two groups (as in multigroup LCA)? Would it matter if one has two different class solutions in this case? Next, I'll look at predictors of joint-class memberships..
Hi Dr Muthen, I am running a second order LCA based on a dyadic dataset (in wide format), looking at joint profiles or distributions amongst husbands and wives living in the same household. Would I have to transform the data from wide to long (with a variable identifying the dyad, husband/wife) and set it up using class-specific commands for the analysis? Or would it be possible to analyze the data in wide format? Many thanks
You can analyze it in wide format. The non-independence of observations is handled by multivariate modeling. This is discussed in both the Topic 7 and Topic 8 course handouts and videos on the website.