Jordan posted on Monday, February 08, 2016 - 10:12 am
I am conducting a CFA involving 7 dimensions of a "second-order"/multi-dimensional construct. To be clear, the dimensions are latent and reflective, each with four indicators; however, the second-order latent factor is theorized to be aggregate (the latent dimensions serving as formative indicators).
Is it possible to conduct a CFA of such a model? This is the input I have used when attempting to do so:
dim1 by [indicators]; dim2 by [indicators]; etc.
secondorder by; !defining the formative factor secondorder on dim1@1 dim2 dim3 etc. ; !defining the formative relationships between the latent dimensions and the second order factor. secondorder@0;
See the Topic 1 course handout on the website where there are examples of formative indicators using Mplus.
Jordan posted on Monday, February 08, 2016 - 12:11 pm
The examples given on the course handout all include an outcome variable/construct. But I am only doing interested in the measurement model that relates indicators to dimensions and those dimensions to a second-order factor (vs. relating the second order factor to some outcome).
When I try to follow the handout without an outcome variable (e.g. "friends", as in the handout), I get an error with respect to model identification. I'm unsure as to whether this means I cannot do what I aim to do, or whether I'm not constraining the model in some necessary way which I may be ignorant of (or both!).
I suppose the main difference is that I'm dealing with a multi-dimensional construct only vs. a unidimensional construct.