plot.MANOVA.Biplot {PERMANOVA}R Documentation

Plots the results of a MANOVA Biplot

Description

Plots the results of a MANOVA Biplot

Usage

## S3 method for class 'MANOVA.Biplot'
plot(x, A1 = 1, A2 = 2, ScaleGraph = TRUE, PlotGroups = TRUE, 
PlotVars = TRUE, PlotInd = TRUE, WhatInds = NULL, WhatVars = NULL, WhatGroups = NULL, 
IndLabels = NULL, VarLabels = NULL, GroupLabels = NULL, AbbreviateLabels = FALSE, 
LabelInd = TRUE, LabelVars = TRUE, CexGroup = 1, PchGroup = 16, margin = 0.1, 
AddLegend = FALSE, ShowAxes = FALSE, LabelAxes = FALSE, LabelGroups = TRUE, 
PlotCircle = TRUE, ConvexHulls = FALSE, TypeCircle = "M", ColorGroups = NULL, 
ColorVars = NULL, LegendPos = "topright", ColorInd = NULL, voronoi = TRUE, 
mode = "a", TypeScale = "Complete", ValuesScale = "Original", MinQualityVars = 0, 
dpg = 0, dpi = 0, dp = 0, PredPoints = 0, PlotAxis = FALSE, CexInd = NULL, 
CexVar = NULL, PchInd = NULL, PchVar = NULL, ColorVar = NULL, ShowAxis = FALSE, 
VoronoiColor = "black", ShowBox = FALSE, ShowTitle = TRUE, PlotClus = FALSE, 
TypeClus = "ch", ClustConf = 1, ClustCenters = FALSE, UseClusterColors = TRUE, 
CexClustCenters = 1, ...)

Arguments

x

An object of class "MANOVA.Biplot"

A1

Dimension for the first axis. 1 is the default.

A2

Dimension for the second axis. 2 is the default.

ScaleGraph

Reescale the coordinates to optimal matching.

PlotGroups

Shoud the group centers be plotted?

PlotVars

Should the variables be plotted?

PlotInd

Should the individuals be plotted?

WhatInds

What individuals should be plooted? A vector.

WhatVars

What variables should be plooted? A vector.

WhatGroups

What groups should be plooted? A vector.

IndLabels

Labels for the individuals

VarLabels

Labels for the variables

GroupLabels

Labels for the groups

AbbreviateLabels

Should the labels be Abbreviated for simplicity of the graph?

LabelInd

Should the individuaqls be labelled?

LabelVars

Should the variables be labelled?

CexGroup

Size of the points for groups

PchGroup

Mark of the points for groups

margin

Margin for labels (in percentage)

AddLegend

Should a legend be added?

ShowAxes

Should the axes be shown?

LabelAxes

Should the axes be labelled?

LabelGroups

Should the groups be labelled?

PlotCircle

Should the confidence regions for the groups be plotted?

ConvexHulls

Should the convex hulls containing the individuals for each group be plotted?

TypeCircle

Type of confidence region: Univariate (U), Bonferroni(B), Multivariate (M) or Classical (C)

ColorGroups

User colors for the groups. Default colors will be used if NULL.

ColorVars

User colors for the variables. Default colors will be used if NULL.

LegendPos

Position of the legend.

ColorInd

User colors for the individuals. Default colors will be used if NULL.

voronoi

Should the voronoi diagram with the prediction regións for each group be plotted?

mode

Mode of the biplot: "p", "a", "b", "h", "ah" and "s".

TypeScale

Type of scale to use : "Complete", "StdDev" or "BoxPlot"

ValuesScale

Values to show on the scale: "Original" or "Transformed"

MinQualityVars

Minimum quality of representation for a variable to be plotted

dpg

A set of indices with the variables that will show projections onto the variables

dpi

A set of indices with the individuals that will show the projections

dp

A set of indices with the variables that will show the projections of the individuals

PredPoints

A vector with integers. The group centers listed in the vector are projected onto all the variables.

PlotAxis

Not Used

CexInd

Size of the points for individuals.

CexVar

Size of the points for variables.

PchInd

Marhers of the points for individuals.

PchVar

Markers of the points for variables.

ColorVar

Colors of the points for variables.

ShowAxis

Should axis scales be shown?

VoronoiColor

Color for the Voronoi diagram

ShowBox

Should a box around the poitns be plotted?

ShowTitle

Should Title be shown?

PlotClus

Should the clusters be plotted?

TypeClus

Type of cluster to plot (convex hull, ellipse or star)

ClustConf

Confidence level for the clusters (percentage plotted)

ClustCenters

Should the cluster centres be plotted?

UseClusterColors

Use cluster colors for individuals

CexClustCenters

Size of the cluster centers

...

Any other graphical parameter

Details

The function plots the results of a MANOVA Biplot. The coordinates for Groups, Individuals and Variables can be shown or not on the plot, each of the three can also be labeled separately. The are parameters to control the way each different set of coordinates is plotted and labeled.

There are several modes for plotting the biplot.

"p".- Points (Rows and Columns are represented by points)

"a" .- Arrows (The traditional representation with points for rows and arrows for columns)

"b" .- The arrows for the columns are extended to both extremes of the plot and labeled outside the plot area.

"h" .- The arrows for the columns are extended to the positive extreme of the plot and labeled outside the plot area.

"ah" .- Same as arrows but labeled outside the plot area.

"s" .- The directions (or biplot axes) have a graded scale for prediction of the original values.

The TypeScale argument applies only to the "s" mode. There are three types:

"Complete" .- An equally spaced scale covering the whole range of the data is calculates.

"StdDev" .- Mean with one, two and three stadard deviations

"BoxPlot" .- Box-Plot like Scale (Median, 25 and 75 percentiles, maximum and minimum values.)

The ValuesScale argument applies only to the "s" mode and controls if the labels show the Original ot Transformed values.

Some of the initial transformations are not compatible with some of the types of biplots and scales. For example, It is not possible to recover by projection the original values when you double centre de data. In that case you have the residuals for interaction and only the transformed values make sense.

Value

A plot is returned

Author(s)

Jose Luis Vicente Villardon, Laura Vicente Gonzalez

References

Gabriel, K. R. (1972). Analysis of meteorological data by means of canonical decomposition and biplots. Journal of Applied Meteorology, 11(7), 1071-1077.

Amaro, I. R., Vicente-Villardón, J. L., & Galindo Villardón, M. P. (2004). Manova Biplot para arreglos de tratamientos con dos factores basado en modelos lineales generales multivariantes. Interciencia, 29(1), 26-32.

Sierra, C., Ruíz-Barzola, O., Menéndez, M., Demey, J. R., & Vicente-Villardón, J. L. (2017). Geochemical interactions study in surface river sediments at an artisanal mining area by means of Canonical (MANOVA)-Biplot. Journal of Geochemical Exploration, 175, 72-81.

Examples

data(wine)
X=wine[,4:21]
manbip=MANOVA(X, Group=wine$Group)
plot(manbip, TypeCircle="U", Voronoi=FALSE)

[Package PERMANOVA version 0.2.0 Index]