Description Usage Arguments Details Value Author(s) References See Also Examples

Plot a pair of clusters and their density estimates, which are projected along a specified 1-D projection direction.

1 2 3 4 5 6 7 8 | ```
plot1DProjection(y1, y2, projDir,
sepValMethod=c("normal", "quantile"), bw="nrd0",
xlim=NULL, ylim=NULL,
xlab="1-D projected clusters", ylab="density estimates",
title="1-D Projected Clusters and their density estimates",
font=2, font.lab=2, cex=1.2, cex.lab=1.2, cex.main=1.5,
lwd=4, lty1=1, lty2=2, pch1=18, pch2=19, col1=2, col2=4,
type="l", alpha=0.05, eps=1.0e-10, quiet=TRUE)
``` |

`y1` |
Data matrix of cluster 1. Rows correspond to observations. Columns correspond to variables. |

`y2` |
Data matrix of cluster 2. Rows correspond to observations. Columns correspond to variables. |

`projDir` |
1-D projection direction along which two clusters will be projected. |

`sepValMethod` |
Method to calculate separation index for a pair of clusters projected onto a
1-D space. |

`bw` |
The smoothing bandwidth to be used by the function |

`xlim` |
Range of X axis. |

`ylim` |
Range of Y axis. |

`xlab` |
X axis label. |

`ylab` |
Y axis label. |

`title` |
Title of the plot. |

`font` |
An integer which specifies which font to use for text (see |

`font.lab` |
The font to be used for x and y labels (see |

`cex` |
A numerical value giving the amount by which plotting text
and symbols should be scaled relative to the default (see |

`cex.lab` |
The magnification to be used for x and y labels relative
to the current setting of 'cex' (see |

`cex.main` |
The magnification to be used for main titles relative
to the current setting of 'cex' (see |

`lwd` |
The line width, a \_positive\_ number, defaulting to '1' (see |

`lty1` |
Line type for cluster 1 (see |

`lty2` |
Line type for cluster 2 (see |

`pch1` |
Either an integer specifying a symbol or a single character
to be used as the default in plotting points for cluster 1 (see |

`pch2` |
Either an integer specifying a symbol or a single character
to be used as the default in plotting points for cluster 2 (see |

`col1` |
Color to indicates cluster 1. |

`col2` |
Color to indicates cluster 2. |

`type` |
What type of plot should be drawn (see |

`alpha` |
Tuning parameter reflecting the percentage in the two tails of a projected cluster that might be outlying. |

`eps` |
A small positive number to check if a quantitiy |

`quiet` |
A flag to switch on/off the outputs of intermediate results and/or possible warning messages. The default value is |

The ticks along X axis indicates the positions of points of the projected
two clusters. The positions of *L_i* and *U_i*, *i=1, 2*, are also indicated
on X axis, where *L_i* and *U_i* are the lower and upper *α/2* sample
percentiles of cluster *i* if `sepValMethod="quantile"`

.
If `sepValMethod="normal"`

,
*L_i=xbar_i-z_{α/2}s_i*, where *xbar_i* and *s_i* are the
sample mean and standard deviation of cluster *i*, and *z_{α/2}*
is the upper *α/2* percentile of standard normal distribution.

`sepVal` |
value of the separation index for the projected two clusters along
the projection direction |

`projDir` |
projection direction. To make sure the projected cluster 1 is on the
left-hand side of the projected cluster 2, the input |

Weiliang Qiu [email protected]

Harry Joe [email protected]

Qiu, W.-L. and Joe, H. (2006)
Separation Index and Partial Membership for Clustering.
*Computational Statistics and Data Analysis*, **50**, 585–603.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 | ```
n1<-50
mu1<-c(0,0)
Sigma1<-matrix(c(2,1,1,5),2,2)
n2<-100
mu2<-c(10,0)
Sigma2<-matrix(c(5,-1,-1,2),2,2)
projDir<-c(1, 0)
library(MASS)
set.seed(1234)
y1<-mvrnorm(n1, mu1, Sigma1)
y2<-mvrnorm(n2, mu2, Sigma2)
y<-rbind(y1, y2)
cl<-rep(1:2, c(n1, n2))
b<-getSepProjData(y, cl, iniProjDirMethod="SL", projDirMethod="newton")
# projection direction for clusters 1 and 2
projDir<-b$projDirArray[1,2,]
plot1DProjection(y1, y2, projDir)
``` |

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