Key points are not available for this paper at this time.
Ajith Kumar, William R. Dillon, An Integrative Look at the Use of Additive and Multiplicative Covariance Structure Models in the Analysis of MTMM Data, Journal of Marketing Research, Vol. 29, No. 1 (Feb., 1992), pp. 51-64
Kumar et al. (Sat,) studied this question.