ISSN:
1860-0980
Keywords:
constrained least-squares
;
multilinear models
;
bilinear models
;
INDSCAL
;
multidimensional scaling
;
3-mode factor analysis
;
CANDECOMP
;
LINCINDS
;
multivariate analysis
Source:
Springer Online Journal Archives 1860-2000
Topics:
Psychology
Notes:
Abstract Very general multilinear models, called CANDELINC, and a practical least-squares fitting procedure, also called CANDELINC, are described for data consisting of a many-way array. The models incorporate the possibility of general linear constraints, which turn out to have substantial practical value in some applications, by permitting better prediction and understanding. Description of the model, and proof of a theorem which greatly simplifies the least-squares fitting process, is given first for the case involving two-way data and a bilinear model. Model and proof are then extended to the case ofN-way data and anN-linear model for generalN. The caseN = 3 covers many significant applications. Two applications are described: one of two-way CANDELINC, and the other of CANDELINC used as a constrained version of INDSCAL. Possible additional applications are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02293596
Permalink
