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Last data update: 2014.03.03

R: Functional bagplot and functional HDR boxplot

fboxplot

R Documentation

Functional bagplot and functional HDR boxplot

Description

Compute bivariate bagplot, functional bagplot and bivariate HDR boxplot, functional HDR boxplot.

Usage

fboxplot(data, plot.type = c("functional", "bivariate"),
	type = c("bag", "hdr"), alpha = c(0.05, 0.5), projmethod = c("PCAproj","rapca"),
	factor = 1.96, na.rm = TRUE, xlab = data$xname, ylab = data$yname, 
	shadecols = gray((9:1)/10), pointcol = 1, plotlegend = TRUE, 
	legendpos = "topright", ncol = 2, ...)

Arguments

`data`	An object of class `fds` or `fts`.
`plot.type`	Version of boxplot. When `plot.type="functional"`, a functional plot is provided. When `plot.type="bivariate"`, a square bivariate plot is provided.
`type`	Type of boxplot. When `type="bag"`, a bagplot is provided. When `type="hdr"`, a HDR boxplot is provided.
`alpha`	Coverage probability for the functional HDR boxplot. alpha are the coverage percentages of the outliers and the central region.
`factor`	When `type="bag"`, the outer region of a bagplot is the convex hull obtained by inflating the inner region by the bagplot factor.
`na.rm`	Remove missing values.
`xlab`	A title for the x axis.
`ylab`	A title for the y axis.
`shadecols`	Colors for shaded regions.
`pointcol`	Color for outliers and mode.
`plotlegend`	Add a legend to the graph.
`legendpos`	Legend position. By default, it is the top right corner.
`ncol`	Number of columns in the legend.
`projmethod`	Method used for projection.
`...`	Other arguments.

Details

The functional curves are first projected into a finite dimensional subspace. For simiplicity, we choose the subspace as R^2. Based on Tukey (1974)'s halfspace bagplot and Hyndman (1996)'s HDR boxplot, we order each data point in R^2 by data depth and data density. Outliers are those that have either lowest depth or lowest density.

Value

Function produces a plot.

Author(s)

Rob J Hyndman, Han Lin Shang. Please, report bugs and suggestions to hanlin.shang@anu.edu.au

References

J. W. Tukey (1974) "Mathematics and the picturing of data", Proceedings of the International Congress of Mathematicians, 2, 523-532, Canadian Mathematical Congress, Montreal.

P. Rousseeuw, I. Ruts and J. Tukey (1999) "The bagplot: A bivariate boxplot", The American Statistician, 53(4), 382-387.

R. J. Hyndman (1996) "Computing and graphing highest density regions", The American Statistician, 50(2), 120-126.

R. J. Hyndman and H. L. Shang. (2010) "Rainbow plots, bagplots, and boxplots for functional data", Journal of Computational and Graphical Statistics, 19(1), 29-45.

Examples

fboxplot(data = ElNino, plot.type = "functional", type = "bag", projmethod="PCAproj")
fboxplot(data = ElNino, plot.type = "bivariate", type = "bag", projmethod="PCAproj")