pta: Partial Triadic Analysis of a K-tables

In ade4: Analysis of Ecological Data: Exploratory and Euclidean Methods in Environmental Sciences

Partial Triadic Analysis of a K-tables

Description

performs a partial triadic analysis of a K-tables, using an object of class ktab.

Usage

pta(X, scannf = TRUE, nf = 2)
## S3 method for class 'pta'
plot(x, xax = 1, yax = 2, option = 1:4, ...)
## S3 method for class 'pta'
print(x, ...)

Arguments

X	an object of class ktab where the arrays have 1) the same dimensions 2) the same names for columns 3) the same column weightings
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
x	an object of class 'pta'
xax, yax	the numbers of the x-axis and the y-axis
option	an integer between 1 and 4, otherwise the 4 components of the plot are displayed
...	further arguments passed to or from other methods

Value

returns a list of class 'pta', sub-class of 'dudi' containing :

RV	a matrix with the all RV coefficients
RV.eig	a numeric vector with the all eigenvalues (interstructure)
RV.coo	a data frame with the scores of the arrays
tab.names	a vector of characters with the array names
nf	an integer indicating the number of kept axes
rank	an integer indicating the rank of the studied matrix
tabw	a numeric vector with the array weights
cw	a numeric vector with the column weights
lw	a numeric vector with the row weights
eig	a numeric vector with the all eigenvalues (compromis)
cos2	a numeric vector with the cos² between compromise and arrays
tab	a data frame with the modified array
li	a data frame with the row coordinates
l1	a data frame with the row normed scores
co	a data frame with the column coordinates
c1	a data frame with the column normed scores
Tli	a data frame with the row coordinates (each table)
Tco	a data frame with the column coordinates (each table)
Tcomp	a data frame with the principal components (each table)
Tax	a data frame with the principal axes (each table)
TL	a data frame with the factors for Tli
TC	a data frame with the factors for Tco
T4	a data frame with the factors for Tax and Tcomp

Author(s)

Pierre Bady [e-mail]
Anne-Béatrice Dufour [e-mail]

References

Blanc, L., Chessel, D. and Dolédec, S. (1998) Etude de la stabilité temporelle des structures spatiales par Analyse d'une série de tableaux faunistiques totalement appariés. Bulletin Français de la Pêche et de la Pisciculture, 348, 1–21.

Thioulouse, J., and D. Chessel. 1987. Les analyses multi-tableaux en écologie factorielle. I De la typologie d'état à la typologie de fonctionnement par l'analyse triadique. Acta Oecologica, Oecologia Generalis, 8, 463–480.

Examples

data(meaudret)
wit1 <- withinpca(meaudret$env, meaudret$design$season, scan = FALSE, scal = "partial")
kta1 <- ktab.within(wit1, colnames = rep(c("S1", "S2", "S3", "S4", "S5"), 4))
kta2 <- t(kta1)
pta1 <- pta(kta2, scann = FALSE)
pta1
plot(pta1)

ade4 documentation built on Feb. 16, 2023, 7:58 p.m.