The factor transformation problem in inter-battery factor analysis is not limited to ordinary factor rotation. In this paper, four methods of transformation in inter-battery factor analysis are proposed. The first one is a solution of Gibson's (1960) proposal and may be applied to obtain factor loadings for the transformation toward simple structure. The second one is a kind of Procrustes rotation in inter-battery factor analysis. These solutions are obtained by numerical methods. The third and the fourth ones consist of scale transformation of factor loadings and may be applied to cases where orthogonality of factor loadings are desirable to a definite interpretation (e.g. as a profile score which is independent of general ability). The transformed values of the third and fourth methods are obtained as the numerical solutions of quartic equations.
