Long time lurker here!
I've come across a problem in a research model I'm analyzing right now, and I hope any of you may help me.
The problem is that the model includes two nested second-order constructs, and I don't know the right way to proceed at this point.
The simplified situation is this (see picture attached):
- We have two second-order formative constructs, U (in green) and V (in red).
- V (red) is formed by 2 reflective constructs, X and Y.
- U (green) may is formed by 1 reflective construct (W), and the second-order construct V.
- We are using repeated indicators for both second-order fromative constructs
AHG wrote:When using repeated indicators for formative second-order construct, would the approach depicted in the above diagram be correct?
(We are especially concerned about the indicators of construct U)
Then, on how to proceed: following a two-step approach, after a first analysis of the models we obtain the Latent Variable Scores and we re-build our model and add the LVS to the list of indicators.
And here comes our big dilemma: which of the following scenarios would be correct?
- Scenario 1: Subtitute only the part containing the nested second order construct (X-Y-V), include LVS for V, replace the repeated indicators of V by its LVS, but including all of W's indicators (see image), and then perform another two-step analysis with these values (which would then lead something like Scenario 2 next).
- Scenario 2: directly replace all the indicators by each construct's corresponding LVS, and then perform a regular analysis (see image).
- Scenario 3: a mix of scenarios 1 and 2. In this case, we would replace all the indicators by the LVS of each construct, except for U, where we would use the LVS of V and W as repeated indicators; then we would perform a new two-step analysis (see image).
P.S.: Of course, our starting model could be wrongly defined (I don't really know if there is any limit to apply the repeated indicators approach). If so, please tell me.
Best,
Ángel.
EDIT: If this is not the right section to post this question, please move to the right one.