Multiple factor analysis combined with PLS path modelling. Application to the analysis of relationships between physicochemical variables, sensory profiles and hedonic judgements
J. Pages et M. Tenenhaus, Multiple factor analysis combined with PLS path modelling. Application to the analysis of relationships between physicochemical variables, sensory profiles and hedonic judgements, CHEM INTELL, 58(2), 2001, pp. 261-273
Multiple Factor Analysis (MFA) highlights the structures common to a set of
J groups (or blocks) of variables observed for the same individuals. PLS p
ath modelling allows a search for latent variables, summarising as far as p
ossible one-dimensional blocks of manifest variables while taking account o
f causal links between the blocks. These two methods can be combined: MFA,
as an exploratory analysis, helps to define blocks, being both one-dimensio
nal and as well-correlated as possible, on which PLS path modelling is perf
ormed.
In this paper, we present MFA in detail and PLS path modelling more briefly
. We also mention some links between MFA, PLS path modelling and PLS regres
sion. A detailed presentation of a sensory analysis example will illustrate
the proposed methodology. (C) 2001 Elsevier Science B.V. All rights reserv
ed.