Re:A review of correlations between big five personality typ...
by disgruntledphd2 on Monday May 10, 2021 @05:18AM
(#27104144)
Like pretty much every unsupervised learning problem, there is no data which can tell you what N should be. If there was, you could trivially use that measure to convert it to a supervised learning problem.
More generally, all of those metrics are pretty fluffy (the scree plot is probably the best, as it doesn't give you a p-value).
In order to actually do this right, you need multiple studies and CFA, but the standard in the field is to refit your exploratory model as a CFA on the original dataset, which is almost certainly causing overfitting in most cases.
Essentially you come to a point where extracting another value isn't explaining much more variance or producing a factor that's meaningful (e.g., two items of conscientiousness with negative wording are the entire new "factor" and only take variance explained from 80% to 82%).
https://www.theanalysisfactor.com/factor-analysis-how-many-f...