How to interpret the "Biplot between axes 1 and 2 for group 1" from DMFA function

[Lucia Alvarado]

Bonjour,

I'm having trouble understanding the outputs of the DMFA function. For context, I'm working with 3 groups of individuals that have been measured in the same 9 quantitative variables; and I'm using the DMFA technique to compare the correlation structure between the 3 groups.

One of the outputs of the function is a plot called "Biplot for group 1". Since I have 3 groups, I'll get three plots of this kind. To get them, I use the following sintaxis:

plot(res.dmfa, #data frame where I have the results of the DMFA technique

     choix = "var",
     label="all",
     xlim = NULL, ylim= NULL,
     title = NULL,
     cex = 0.7,
     cex.main = 0.8,
     cex.lab=1)

I was wondering, what does the inclination in the ellipse of this plot mean? Is there any documentation where I can find more information about this plot and how to interpret it? 

Merci d'avance,
Lucia Alvarado.

[Lucia Alvarado]

I'll attach an example of the plot I mentioned:

Any help would be much appreciated! :)

[François Husson]

Hello,

You can see this paper for the explanation of the DMFA method: Lê, S., & Pagès, J. (2010). DMFA: Dual Multiple Factor Analysis. Communications in Statistics - Theory and Methods, 39(3), 483–492. https://doi.org/10.1080/03610920903140114

And this paper for the understanding of the plot: François Husson, Jérome Pagès (2005) Scatter Plot and Additional Variables. Journal of Applied Statistics, 2005, 32 (4), pp.341-350. DOI : 10.1080/02664760500079043

FH

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