# HMFA: Hierarchical Multiple Factor Analysis In FactoMineR: Multivariate Exploratory Data Analysis and Data Mining

 HMFA R Documentation

## Hierarchical Multiple Factor Analysis

### Description

Performs a hierarchical multiple factor analysis, using an object of class `list` of `data.frame`.

### Usage

``````HMFA(X,H,type = rep("s", length(H[[1]])), ncp = 5, graph = TRUE,
axes = c(1,2), name.group = NULL)
``````

### Arguments

 `X` a `data.frame` `H` a list with one vector for each hierarchical level; in each vector the number of variables or the number of group constituting the group `type` the type of variables in each group in the first partition; three possibilities: "c" or "s" for quantitative variables (the difference is that for "s", the variables are scaled in the program), "n" for categorical variables; by default, all the variables are quantitative and the variables are scaled unit `ncp` number of dimensions kept in the results (by default 5) `graph` boolean, if TRUE a graph is displayed `axes` a length 2 vector specifying the components to plot `name.group` a list of vector containing the name of the groups for each level of the hierarchy (by default, NULL and the group are named L1.G1, L1.G2 and so on)

### Value

Returns a list including:

 `eig` a matrix containing all the eigenvalues, the percentage of variance and the cumulative percentage of variance `group` a list with first a list of matrices with the coordinates of the groups for each level and second a matrix with the canonical correlation (correlation between the coordinates of the individuals and the partial points)) `ind` a list of matrices with all the results for the active individuals (coordinates, square cosine, contributions) `quanti.var` a list of matrices with all the results for the quantitative variables (coordinates, correlation between variables and axes) `quali.var` a list of matrices with all the results for the supplementary categorical variables (coordinates of each categories of each variables, and v.test which is a criterion with a Normal distribution) `partial` a list of arrays with the coordinates of the partial points for each partition

### Author(s)

Sebastien Le, Francois Husson francois.husson@institut-agro.fr

### References

Le Dien, S. & Pages, J. (2003) Hierarchical Multiple factor analysis: application to the comparison of sensory profiles, Food Quality and Preferences, 18 (6), 453-464.

`print.HMFA`, `plot.HMFA`, `dimdesc`

### Examples

``````
data(wine)
hierar <- list(c(2,5,3,10,9,2), c(4,2))
res.hmfa <- HMFA(wine, H = hierar, type=c("n",rep("s",5)))
``````

FactoMineR documentation built on Oct. 13, 2023, 1:06 a.m.