SensoMineR (version 1.03)

cpa: Consumers' Preferences Analysis

Description

Performs preference mapping techniques based on multidimensional exploratory data analysis. This methodology is oriented towards consumers' preferences; here consumers are pictured according only to their preferences. In this manner, the distance between two consumers is very natural and easy to interpret, and a clustering of the consumers is also very easy to obtain.

Usage

cpa(senso, hedo, coord=c(1,2), center = TRUE, scale = TRUE, 
    nb.clusters = 0, scale.unit = FALSE, name.panelist = TRUE,
    col = terrain.colors(45)[1:41])

Arguments

senso

a data frame of dimension (p,k), where p is the number of products and k the number of sensory descriptors

hedo

a data frame of dimension (p,j), where p is the number of products and j the number of consumers or panelists

coord

a length 2 vector specifying the components to plot

center

boolean, if TRUE then data are mean centered

scale

boolean, if TRUE then data are scaled to unit variance

nb.clusters

number of clusters to use (by default, 0 and the optimal numer of clusters is calculated

scale.unit

boolean, if TRUE then PCA is made on scaled data

name.panelist

boolean, if TRUE then the name of the panelist is written

col

color palette

Value

• Return the following results:
• clusters
  the cluster number allocated to each consumer
• result
  the coordinates of the panelists, of the clusters, of the archetypes
• prod.clusters
  a list with as many elements as there are clusters; each element of the list gathers the specific products for its corresponding cluster
• des.clusters
  the correlation coefficients between the average hedonic scores per cluster and the sensory descriptors
• A dendogram which highlight the clustering, a correlation circle that displays the hedonic scores, a graph of the consumers such as two consumers are all the more close that they do like the same products, as many graphs as there are variables: for a given variable, each consumer is colored according to the coefficient of correlation based on his hedonic scores and the variable.

Details

This methodology is oriented towards consumers' preferences; here, consumers are pictured according only to their preferences. In this manner, the distance between two consumers is very natural and easy to interpret, and a clustering of the consumers is also very easy to obtain using a classic hierarchical clustering procedure performed on Euclidian distances with the Ward's minimum variance criterion. The originality of the representation is that the characteristics of the products are also superimposed to the former picture.

References

S. L�, F. Husson, J. Pag�s (2005). Another look at sensory data: how to "have your salmon and eat it, too!". 6th Pangborn sensory science symposium, August 7-11, 2005, Harrogate, UK.

Examples

data(chocolates)
data(hedochoc)
chocosenso=averagetable(chocolates, formul = "~Product", firstvar = 5)
cpa(chocosenso, hedochoc, coord = c(1,2), center = TRUE,scale = TRUE)
## If you prefer a graph in black and white and with 3 clusters
cpa(chocosenso, hedochoc, coord = c(1,2), center = TRUE, scale = TRUE, 
    name.panelist = FALSE, col = gray((50:1)/50), nb.clusters = 3)