Description Usage Arguments Details Author(s) References Examples

Produces a DD plot which allows to compare two multivariate datasets or to compare a subject dataset with theoretical distribution.

1 2 3 |

`x` |
The first or only data sample for ddPlot. |

`y` |
The second data sample. |

`scale` |
logical. determines whether the dispersion is to be aligned. |

`location` |
determines whether the location is to be aligned to 0 vector with depth median. |

`name` |
name for data set x. It will be passed to drawing function. |

`name_y` |
as above for y |

`title` |
title of the plot. |

`depth_params` |
list of parameters for function depth (method, threads, ndir, la, lb, pdim, mean, cov, exact). |

For two probability distributions * F * and * G *, both in * {{{R}} ^ {d}} *, we can define `depth vs. depth`

plot being very useful generalization of the one dimensional quantile-quantile plot:

* DD(F, G) = ≤ft\{≤ft( D({z}, F), D({z}, G) \right), {z} \in {{{R}} ^ {d}} \right\} *

Its sample counterpart calculated for two samples * {{{X}} ^ {n}} = \{{{X}_{1}}, ..., {{X}_{n}}\} * from * F *, and * {{Y} ^ {m}} = \{{{Y}_{1}}, ..., {{Y}_{m}}\} * from * G * is defined as

* DD({{F}_{n}}, {{G}_{m}}) = ≤ft\{≤ft( D({z}, {{F}_{n}}), D({z}, {{G}_{m}}) \right), {z} \in \{{{{X}} ^ {n}} \cup {{{Y}} ^ {m}}\} \right\} *

Daniel Kosiorowski, Mateusz Bocian, Anna Wegrzynkiewicz and Zygmunt Zawadzki from Cracow University of Economics.

Liu, R.Y., Parelius, J.M. and Singh, K. (1999), Multivariate analysis by data depth: Descriptive statistics, graphics and inference (with discussion), *Ann. Statist.*, **27**, 822–831.

Liu, R.Y., Singh K. (1993), A Quality Index Based on Data Depth and Multivariate Rank Test, *Journal of the American Statistical Association* vol. 88.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 | ```
library(sn)
library(mvtnorm)
# EXAMPLE 1: Location difference
standard <- mvrnorm(1000, c(0, 0), diag(2))
shift <- mvrnorm(1000, c(0.5, 0), diag(2))
ddPlot(x = standard, y = shift, title = "Difference in position")
ddPlot(x = standard, y = shift, location = TRUE, title = "Location aligned")
# EXAMPLE 2: Scale difference
standard <- mvrnorm(1000, c(0, 0), diag(2))
scale <- mvrnorm(1000, c(0, 0), 4 * diag(2))
ddPlot(x = standard, y = scale)
ddPlot(x = standard, y = scale, scale = TRUE)
``` |

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