CFA with only formative indicators... PreviousNext
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 Jordan posted on Monday, February 08, 2016 - 10:12 am
Hello,

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;


Any guidance?
 Linda K. Muthen posted on Monday, February 08, 2016 - 11:08 am
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.
 Bengt O. Muthen posted on Monday, February 08, 2016 - 1:32 pm
I don't think the formative model is identified without the formative factors predicting something.
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