I understand that at least three first-order factors are needed for identifying a second-order, hierarchical CFA model. I also read in Reise et al. (2010) that at least three group factors are suggested for bifactor EFA. Does the same guideline apply to bifactor CFA? I've seen many influential papers that use bifactor CFA with only two group factors, but I want to make sure this is a correct decision. References are always very appreciated.
In a bifactor EFA you need three factors to have 1 general factor and 2 specific, if there were only 2 you would have a general and specific factor all loading on the same items and the model would not be identified. In CFA 2 specific factors should be OK, but I suspect that this would depend on having enough indicators. I have run some (informal) simulations and more indicators seem to help with identification.
Mark
It is preferable to have at least three factors BUT you can proceed with two as well. You can watch videos of Games Gaskian on YouTube for EFA AND CFA for further guidance .
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