LogFrequencyBiplot: Weighted Biplot for a table of frequencies

In MultBiplotR: Multivariate Analysis Using Biplots in R

Weighted Biplot for a table of frequencies

Description

Biplot for the logarithms of the frequencies of a contingency table using the frequencies as weights.

Usage

LogFrequencyBiplot(x, Scaling = 2, logoffset = 1, freqoffset = logoffset, ...)

Arguments

x	The frequency table to be biplotted
Scaling	Transformation of the matrix after the logarithms
logoffset	Constant to add to the frequencies before calculating the logarithms. This is to avoid calculating the logaritm of zero, so, a covenient value for this argument is 1.
freqoffset	Constant to add to the frequencies before calculating the weigths. This is usually the same as the offset used to add to the frequencies but may be different when we do not want the frequencies zero to influence the biplot, i. e., we want zero weigths.
...	Any other parameter for the CrissCross procedure.

Details

Biplot for the logarithms of the frequencies of a contingency table using the frequencies as weigths.

Value

An object of class .Biplot" with the following components:

Title	A general title
Non_Scaled_Data	Original Data Matrix
Means	Means of the original Variables
Medians	Medians of the original Variables
Deviations	Standard Deviations of the original Variables
Minima	Minima of the original Variables
Maxima	Maxima of the original Variables
P25	25 Percentile of the original Variables
P75	75 Percentile of the original Variables
Gmean	Global mean of the complete matrix
Sup.Rows	Supplementary rows (Non Transformed)
Sup.Cols	Supplementary columns (Non Transformed)
Scaled_Data	Transformed Data
Scaled_Sup.Rows	Supplementary rows (Transformed)
Scaled_Sup.Cols	Supplementary columns (Transformed)
n	Number of Rows
p	Number of Columns
nrowsSup	Number of Supplementary Rows
ncolsSup	Number of Supplementary Columns
dim	Dimension of the Biplot
EigenValues	Eigenvalues
Inertia	Explained variance (Inertia)
CumInertia	Cumulative Explained variance (Inertia)
EV	EigenVectors
Structure	Correlations of the Principal Components and the Variables
RowCoordinates	Coordinates for the rows, including the supplementary
ColCoordinates	Coordinates for the columns, including the supplementary
RowContributions	Contributions for the rows, including the supplementary
ColContributions	Contributions for the columns, including the supplementary
Scale_Factor	Scale factor for the traditional plot with points and arrows. The row coordinates are multiplied and the column coordinates divided by that scale factor. The look of the plot is better without changing the inner product. For the HJ-Biplot the scale factor is 1.

Author(s)

Jose Luis Vicente Villardon

References

Gabriel, K. R., Galindo, M. P. & Vicente-Villardon, J. L. (1995) Use of Biplots to Diagnose Independence Models in Three-Way Contingency Tables. in: M. Greenacre & J. Blasius. eds. Visualization of Categorical Data. Academis Press. London.

GABRIEL, K.R. and ZAMIR, S. (1979). Lower rank approximation of matrices by least squares with any choice of weights. Technometrics, 21: 489-498.

See Also

CrissCross, ~~~

Examples

data(smoking)
logbip=LogFrequencyBiplot(smoking, Scaling=1, logoffset=0, freqoffset=0)

MultBiplotR documentation built on Nov. 21, 2023, 5:08 p.m.