GPA | R Documentation |
Performs Generalised Procrustes Analysis (GPA) that takes into account missing values.
GPA(df, tolerance=10^-10, nbiteration=200, scale=TRUE,
group, name.group = NULL, graph = TRUE, axes = c(1,2))
df |
a data frame with n rows (individuals) and p columns (quantitative varaibles) |
tolerance |
a threshold with respect to which the algorithm stops, i.e. when the difference between
the GPA loss function at step n and n+1 is less than |
nbiteration |
the maximum number of iterations until the algorithm stops |
scale |
a boolean, if TRUE (which is the default value) scaling is required |
group |
a vector indicating the number of variables in each group |
name.group |
a vector indicating the name of the groups (the groups are successively named group.1, group.2 and so on, by default) |
graph |
boolean, if TRUE a graph is displayed |
axes |
a length 2 vector specifying the components to plot |
Performs a Generalised Procrustes Analysis (GPA) that takes into account missing values:
some data frames of df
may have non described or non evaluated rows, i.e. rows with missing
values only.
The algorithm used here is the one developed by Commandeur.
A list containing the following components:
RV |
a matrix of RV coefficients between partial configurations |
RVs |
a matrix of standardized RV coefficients between partial configurations |
simi |
a matrix of Procrustes similarity indexes between partial configurations |
scaling |
a vector of isotropic scaling factors |
dep |
an array of initial partial configurations |
consensus |
a matrix of consensus configuration |
Xfin |
an array of partial configurations after transformations |
correlations |
correlation matrix between initial partial configurations and consensus dimensions |
PANOVA |
a list of "Procrustes Analysis of Variance" tables, per assesor (config), per product(objet), per dimension (dimension) |
Elisabeth Morand
Commandeur, J.J.F (1991) Matching configurations.DSWO press, Leiden University.
Dijksterhuis, G. & Punter, P. (1990) Interpreting generalized procrustes analysis "Analysis of Variance" tables,
Food Quality and Preference, 2, 255–265
Gower, J.C (1975) Generalized Procrustes analysis, Psychometrika, 40, 33–50
Kazi-Aoual, F., Hitier, S., Sabatier, R., Lebreton, J.-D., (1995) Refined approximations to permutations tests
for multivariate inference. Computational Statistics and Data Analysis, 20, 643–656
Qannari, E.M., MacFie, H.J.H, Courcoux, P. (1999) Performance indices
and isotropic scaling factors in sensory profiling, Food Quality and Preference, 10, 17–21
## Not run:
data(wine)
res.gpa <- GPA(wine[,-(1:2)], group=c(5,3,10,9,2),
name.group=c("olf","vis","olfag","gust","ens"))
### If you want to construct the partial points for some individuals only
plotGPApartial (res.gpa)
## End(Not run)
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