Journal of Mathematical Psychology vol:54 issue:2 pages:215-221
Two novel uniqueness theorems are derived for the family of hierarchical classes (HICLAS) models, a
family of structural decomposition models forN-wayN-mode data that imply simultaneous hierarchically
organized classifications of all modes involved in the data. The theorems generalize earlier results on
binary HICLAS models to the integer- and real-valued cases. In addition, they allow for a shorter and
insightful proof of a result on Boolean matrix invertibility that goes back to earlier work of Luce (1952)
and Rutherford (1963).