MultBiplotR (version 23.11.0)

LogFrequencyBiplot: 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, ...)

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.

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.

Author

Jose Luis Vicente Villardon

Details

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

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)