Multiple factor analysis

G. H. Dunteman, Principal Components Analysis. Sage Publications, Newbury Park, CA, 1989. L.L. Thurstone, Multiple-factor Analysis. A Development and Expansion of the Vectors of Mind. Univ. Chicago Press, Chicago, 1947. 

Thumstone LL (1947) Multiple factor analysis. Chicago University Press, Chicago... 

Statistical analysis. All data obtained (chemical data and sensory data) were treated by Multiple Factor Analysis (NffA) (2) using the ADDAD software (ADDAD 89, Escofier B. Pages J., France). 

Pages, J. (2005). Collection and analysis of perceived product inter-distances using multiple factor analysis application to the study of 10 white wines from the Loire Valley. Food Quality and Preference, 16, 642-649. 

The main result provided by FP is a sensory map. To this end, the individual data tables can be compiled and analysed by the means of a multi-block data analysis technique, such as generalized Procrustes analysis (GPA) (Gower, 1975 Dijksterhuis, 1996), multiple factor analysis (MFA) (Escofier and Pag6s, 2008) or STATIS (Lavit, 1988 Lavit et al., 1994). Figure 6.3 shows the map of the first two principal components obtained by GPA. 

Dehlholm, C., Brockhoff, P. B. and Bredie, W. L. P. (2012a). Confidence ellipses A variation based on parametric bootstrapping applicable on multiple factor analysis results for rapid graphical evaluation. Food Quality and Preference, 26, 278-280. 

Figure 8.1 Data table structure of FMS data prepared for analysis with multiple factor analysis in R.

Figure 8.2 Classical multiple factor analysis output based on an FMS study, (a) Individual factor map of samples/products. (b) Groups (assessors) weight representation, (c) Individual factor map with assessor distributions shown for samples PI, P2, P7 and P8. (d) Partial axes for each group (assessor).

Escofier, B. and Pages, J. (1994). Multiple factor-analysis (Afmult Package). Computational Statistics and Data Analysis, 18, 121-140. 

PagSs, J. (2004) Multiple factor analysis main features and application to sensory data, Revista Colombiana de Estadistica, 27, 1-26. 

Becue-Bertaut, M. and Pag s, J. (2008) Multiple factor analysis and clustering of a mixture of quantitative, categorical and frequency data, Comput Stat Data An, 52, 3255-3268. DOI 10.1016/j.csda.2007.09.023. 

Kostov, B., Becue-Bertaut, M. and Husson, E. (2014) An original methodology for the analysis and interpretation of word-count based methods Multiple factor analysis for contingency tables complemented by consensual words, Food Qual Prefer, 32A, 35-40. DOI 10.1016/j.foodqual.2013.06.009. 

Data obtained by napping are usually analysed by multiple factor analysis (MEA), a multivariate data analytical technique that seeks the common structure between several blocks of variables (i.e. the individual panellists in a napping task) describing the same observations (the samples), see FactoMineR s website for further information (Husson et al, 2008 Le and Husson, 2008 Le et ah, 2008). MEA can be thought of... 

Morand, E. and Pages, J. (2006). Procrastes multiple factor analysis to analyse the overall perception of food products. Food Quality and Preference, 17(1-2), 36 2. 

Thurstone, L.L. 1947. Multiple-factor Analysis. Chicago University of Chicago Press. 

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