I performed a logit and latent class analysis in lighthouse. Resulting from the CAIC and BIC figures, I should use 5 classes to describe the data. Although I want to check for cross validity to see if this model isn't overfitting. I want to use the two fixed tasks as the valdiation sample, and the random tasks as the calibration sample or I want to use 200 persons as calibration sample and 50 as validation sample. Which method is preferred?
Ideally I would have a converted U-shape figure to see how many latent classes would give me the highest % of correct estimates. How should I perform such analysis?