Factorial invariance testing requires a referent loading to be constrained equal across groups. This study introduces a randomization test for comparing group exploratory factor analysis loadings so as to identify an invariant referent. Results show that it maintains the Type I error rate while providing adequate power under most conditions.
Finch, W. Holmes and French, Brian F.
"Comparing Factor Loadings in Exploratory Factor Analysis: A New Randomization Test,"
Journal of Modern Applied Statistical Methods: Vol. 7
, Article 3.
Available at: http://digitalcommons.wayne.edu/jmasm/vol7/iss2/3