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suprow

Projections of Supplementary Rows


Description

This function performs a projection of supplementary rows (i.e. supplementary individuals).

Usage

## S3 method for class 'coa'
suprow(x, Xsup, ...) 
## S3 method for class 'dudi'
suprow(x, Xsup, ...) 
## S3 method for class 'dudi'
predict(object, newdata, ...) 
## S3 method for class 'pca'
suprow(x, Xsup, ...)
## S3 method for class 'acm'
suprow(x, Xsup, ...) 
## S3 method for class 'mix'
suprow(x, Xsup, ...)
## S3 method for class 'fca'
suprow(x, Xsup, ...)

Arguments

x, object

an object of class dudi

Xsup, newdata

an array with the supplementary rows

...

further arguments passed to or from other methods

Details

If suprow.dudi is used, the column vectors of Xsup are projected without prior modifications onto the principal components of dudi with the scalar product associated to the row weightings of dudi.

Value

predict returns a data frame containing the coordinates of the supplementary rows. suprow returns a list with the transformed table Xsup in tabsup and the coordinates of the supplementary rows in lisup.

Author(s)

Daniel Chessel
Anne-Béatrice Dufour anne-beatrice.dufour@univ-lyon1.fr

References

Gower, J. C. (1967) Multivariate analysis and multivariate geometry. The statistician, 17, 13–28.

Examples

data(euro123)
par(mfrow = c(2, 2))
w <- euro123[[2]]
dudi1 <- dudi.pca(w, scal = FALSE, scan = FALSE)

if(adegraphicsLoaded()) {
  g11 <- s.arrow(dudi1$c1, psub.text = "Classical", psub.posi = "bottomright", plot = FALSE)
  g12 <- s.label(suprow(dudi1, w)$tabsup, plab.cex = 0.75, plot = FALSE)
  g1 <- superpose(g11, g12)
  
  g21 <- s.arrow(dudi1$c1, psub.text = "Without centring", psub.posi = "bottomright", plot = FALSE)
  g22 <- s.label(suprow(dudi1, w)$tabsup, plab.cex = 0.75, plot = FALSE)
  g2 <- superpose(g21, g22) 
  
  g3 <- triangle.label(w, plab.cex = 0.75, label = row.names(w), adjust = FALSE, plot = FALSE)
  g4 <- triangle.label(w, plab.cex = 0.75, label = row.names(w), adjust = TRUE, plot = FALSE)
  
  G <- ADEgS(list(g1, g2, g3, g4), layout = c(2, 2))
  
} else {
  s.arrow(dudi1$c1, sub = "Classical", possub = "bottomright", csub = 2.5)
  s.label(suprow(dudi1, w), add.plot = TRUE, clab = 0.75)
  
  s.arrow(dudi1$c1, sub = "Without centring", possub = "bottomright", csub = 2.5)
  s.label(suprow(dudi1, w), clab = 0.75, add.plot = TRUE)
  
  triangle.plot(w, clab = 0.75, label = row.names(w), scal = FALSE)
  triangle.plot(w, clab = 0.75, label = row.names(w), scal = TRUE)
}

data(rpjdl)
rpjdl.coa <- dudi.coa(rpjdl$fau, scann = FALSE, nf = 4)
rpjdl.coa$li[1:3, ]
suprow(rpjdl.coa,rpjdl$fau[1:3, ])$lisup  #the same

data(deug)
deug.dudi <- dudi.pca(df = deug$tab, center = deug$cent, scale = FALSE, scannf = FALSE)
suprow(deug.dudi, deug$tab[1:3, ])$lisup  #the supplementary individuals are centered
deug.dudi$li[1:3, ]  # the same

ade4

Analysis of Ecological Data: Exploratory and Euclidean Methods in Environmental Sciences

v1.7-16
GPL (>= 2)
Authors
Stéphane Dray <stephane.dray@univ-lyon1.fr>, Anne-Béatrice Dufour <anne-beatrice.dufour@univ-lyon1.fr>, and Jean Thioulouse <jean.thioulouse@univ-lyon1.fr>, with contributions from Thibaut Jombart, Sandrine Pavoine, Jean R. Lobry, Sébastien Ollier, Daniel Borcard, Pierre Legendre, Stéphanie Bougeard and Aurélie Siberchicot. Based on earlier work by Daniel Chessel.
Initial release

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