# mfa: Multiple Factorial Analysis In ade4: Analysis of Ecological Data: Exploratory and Euclidean Methods in Environmental Sciences

 mfa R Documentation

## Multiple Factorial Analysis

### Description

performs a multiple factorial analysis, using an object of class `ktab`.

### Usage

```mfa(X, option = c("lambda1", "inertia", "uniform", "internal"),
scannf = TRUE, nf = 3)
## S3 method for class 'mfa'
plot(x, xax = 1, yax = 2, option.plot = 1:4, ...)
## S3 method for class 'mfa'
print(x, ...)
## S3 method for class 'mfa'
summary(object, ...)
```

### Arguments

 `X` K-tables, an object of class `ktab` `option` a string of characters for the weighting of arrays options : `lambda1`weighting of group k by the inverse of the first eigenvalue of the k analysis `inertia`weighting of group k by the inverse of the total inertia of the array k `uniform`uniform weighting of groups `internal`weighting included in `X\$tabw` `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, object` an object of class 'mfa' `xax, yax` the numbers of the x-axis and the y-axis `option.plot` 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 including :

 `tab` a data frame with the modified array `rank` a vector of ranks for the analyses `eig` a numeric vector with the all eigenvalues `li` a data frame with the coordinates of rows `TL` a data frame with the factors associated to the rows (indicators of table) `co` a data frame with the coordinates of columns `TC` a data frame with the factors associated to the columns (indicators of table) `blo` a vector indicating the number of variables for each table `lisup` a data frame with the projections of normalized scores of rows for each table `link` a data frame containing the projected inertia and the links between the arrays and the reference array

### Author(s)

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

### References

Escofier, B. and Pagès, J. (1994) Multiple factor analysis (AFMULT package), Computational Statistics and Data Analysis, 18, 121–140.

### Examples

```data(friday87)
w1 <- data.frame(scale(friday87\$fau, scal = FALSE))
w2 <- ktab.data.frame(w1, friday87\$fau.blo,
tabnames = friday87\$tab.names)
mfa1 <- mfa(w2, scann = FALSE)
mfa1
plot(mfa1)

data(escopage)
w <- data.frame(scale(escopage\$tab))
w <- ktab.data.frame(w, escopage\$blo, tabnames = escopage\$tab.names)
plot(mfa(w, scann = FALSE))
```

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