MixturePlot {mixexp}

This function makes contour plots in the simplex mixture space.

Description

This function makes contour plots in the simplex mixture space, it also can draw constraint lines and show design points.

Usage

MixturePlot(x=NULL,y=NULL,z=NULL,w=NULL,des=NULL,
                       res=400,lims=c(rep(0,6)),color.palette = heat.colors,
                       constrts=FALSE,contrs=TRUE,n.breaks=10,levels=NULL,
                       cols=FALSE, despts=TRUE, mod=NA,x3lab="Fraction X3",
                       x2lab="Fraction X2", x1lab="Fraction X1", 
                       corner.labs = NULL,
                       colorkey=list(dx=0.04,x0=0.95,y0=0.45,y1=0.90,add=TRUE,mode="all"),
                       pseudo=FALSE)

Arguments

x

x3 locations for known points

y

x2 locations for known points

z

x1 locations for known points

w

y locations for known points

des

data frame with x1,x2,x3, and y locations for known points

res

number of color blocks between 0 and 1 of x

lims

vector of lower and upper constraints for x1,x2,x3

color.palette

is the color palette to use

constrts

if TRUE constraints found in lines will be added to the graph

contrs

if TRUE contour lines will be added to the graph

n.breaks

number of breaks between levels, this is used if levels is not specified

levels

vector of contour levels to be plotted

cols

if TRUE regions between contour lines will be colored

despts

if TRUE plots the design points in data frame des

mod

is an indicator for the model 1=linear, 2=quadratic, 4=special cubic. for other Models use the ModelEff function.

x3lab

label for the x3 axis

x2lab

label for the x2 axis

x1lab

label for the x1 axis

corner.labs

labels for x3, x2 and x1 vertices

colorkey

a list with the location of the color key

pseudo

if pseudo=TRUE uses pseudo components to zoom in on constrained region. By default pseudo=FALSE

Author(s)

John S. Lawson [e-mail]

References

1. Cornell, J. A. Experiments with Mixtures: Models and Analysis of Mixture Data, John Wiley & Sons, New York, third edition, 2002.

2. See R Ternary Level Plot Function http://www.siftp.net/index.shtml

3. "John Lawson, Cameron Willden (2016).", "Mixture Experiments in R Using mixexp.", "Journal of Statistical Software, Code Snippets, 72(2), 1-20." "doi:10.18637/jss.v072.c02"

Examples

##Usage and Examples - Example from page 458 DAE with SAS
dat = data.frame(
          "x1"=c(1,.8,.6,.5,.5,.33333,.3,.3,.1,.1,0,0,0),
          "x2"=c(0,.1,.2,0,.5,.33333,.2,.5,.1,.8,0,.5,1),
          "x3"=c(0,.1,.2,.5,0,.33333,.5,.2,.8,.1,1.0,.5,0),
          "y"=c(48.7,49.5,50.2,52.8,49.3,51.1,52.7,50.3,60.7,49.9,64.9,53.5,50.6) 
                 )
MixturePlot(dat$x3,dat$x2,dat$x1,dat$y, x3lab="Fraction x3",
  x2lab="Fraction x2", x1lab="Fraction x1", corner.labs=c("x3","x2","x1"),
  constrts=FALSE,contrs=TRUE,cols=TRUE, mod=2,n.breaks=9)

# Weed control example from Lawson & Erjavec
x1<-c(1,0,0,.5,.5,0,.33333,.33333,.33333)
x2<-c(0,1,0,.5,0,.5,.33333,.33333,.33333)
x3<-c(0,0,1,0,.5,.5,.33333,.33333,.33333)
y<-c(73,68,80,77,86,75,92,93,88)
des<-data.frame(x1,x2,x3,y)
MixturePlot(des=des,x3lab="Fraction C",x2lab="Fraction B",
   x1lab="Fraction A",corner.labs=c("C","B","A"),mod=4,n.breaks=5,cols=TRUE)