Muthén, B. Psychometrika (1978) 43: 551. doi:10.1007/BF02293813
A new method is proposed for the factor analysis of dichotomous variables. Similar to the method of Christoffersson this uses information from the first and second order proportions to fit a multiple factor model. Through a transformation into a new set of sample characteristics, the estimation is considerably simplified. A generalized least-squares estimator is proposed, which asymptotically is as efficient as the corresponding estimator of Christoffersson, but which demands less computing time.
multiple factor modelfirst and second order proportionsgeneralized least-squarestetrachoric correlations