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, ...) 

Arguments

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 B 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