Ordination of Tables mixing quantitative variables and factors
performs a multivariate analysis with mixed quantitative variables and factors.
dudi.hillsmith(df, row.w = rep(1, nrow(df))/nrow(df), scannf = TRUE, nf = 2)
df |
a data frame with mixed type variables (quantitative and factor) |
row.w |
a vector of row weights, by default uniform row weights are used |
scannf |
a logical value indicating whether the eigenvalues bar plot should be displayed |
nf |
if scannf FALSE, an integer indicating the number of kept axes |
If df
contains only quantitative variables, this is equivalent to a normed PCA.
If df
contains only factors, this is equivalent to a MCA.
This analysis is the Hill and Smith method and is very similar to dudi.mix
function.
The differences are that dudi.hillsmith
allow to use various row weights, while
dudi.mix
deals with ordered variables.
The principal components of this analysis are centered and normed vectors maximizing the sum of :
squared correlation coefficients with quantitative variables
correlation ratios with factors
Returns a list of class mix
and dudi
(see dudi) containing also
index |
a factor giving the type of each variable : f = factor, q = quantitative |
assign |
a factor indicating the initial variable for each column of the transformed table |
cr |
a data frame giving for each variable and each score: |
Stéphane Dray stephane.dray@univ-lyon1.fr
Anne-Béatrice Dufour anne-beatrice.dufour@univ-lyon1.fr
Hill, M. O., and A. J. E. Smith. 1976. Principal component analysis of taxonomic data with multi-state discrete characters. Taxon, 25, 249-255.
dudi.mix
data(dunedata) attributes(dunedata$envir$use)$class <- "factor" # use dudi.mix for ordered data dd1 <- dudi.hillsmith(dunedata$envir, scann = FALSE) if(adegraphicsLoaded()) { g <- scatter(dd1, row.plab.cex = 1, col.plab.cex = 1.5) } else { scatter(dd1, clab.r = 1, clab.c = 1.5) }
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