A general formal model and an associated method of analysis was described in Part I of this paper (RB-69-46). In Part II of the paper several examples are given of areas and problems, especially in the behavioral sciences, where this method may be useful. Applications include (i) analysis of congeneric measurements, (ii) factor analysis, (iii) analysis of multitrait-multimethod data, (iv) analysis of some mixed ANOVA models, (v) analysis of sets of ordered responses, and (vi) path analysis and linear structural relationships.