HOW 3-MFA DATA CAN CAUSE DEGENERATE PARAFAC SOLUTIONS, AMONG OTHER RELATIONSHIPS.

This paper discusses relationships among three models: (1) 3-mode factor analysis, (2) PARAFAC-CANDECOMP, and (3) CANDELINC. The most interesting relationship is that data satisfying model (1) can cause degenerate solutions when analyzed with model (2), as described by Theorem 1 and its corollary. Another interesting relationship connecting all three models at once is described by Theorem 2 and its corollaries. This paper is to appear in the Proceedings of Multiway '88, a symposium held in Rome, March 28-30, 1988, about data analysis of 3-way and multiway arrays.