File:Distance Correlation Examples.svg
Page contents not supported in other languages.
Tools
Actions
General
In other projects
Appearance
Size of this PNG preview of this SVG file: 506 × 318 pixels. Other resolutions: 320 × 201 pixels | 640 × 402 pixels | 1,024 × 644 pixels | 1,280 × 804 pixels | 2,560 × 1,609 pixels.
Original file (SVG file, nominally 506 × 318 pixels, file size: 1.02 MB)
This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionDistance Correlation Examples.svg |
English: Recreation of File:Correlation_examples2.svg using the distance correlation method (dcor from the R energy library) |
Date | |
Source | Created in R using a modification of DenisBoigelot's script at File:Correlation_examples2.svg |
Author | Naught101 |
- Other information
#Title: An example of the correlation of x and y for various distributions of (x,y) pairs #Tags: Mathematics; Statistics; Correlation #Author: Denis Boigelot #Packets needed : mvtnorm (rmvnorm), RSVGTipsDevice (devSVGTips) #How to use: output() # #This is an translated version in R of an Matematica 6 code by Imagecreator. library(mvtnorm) library(energy) library(RSVGTipsDevice) MyPlot <- function(xy, xlim = c(-4, 4), ylim = c(-4, 4), eps = 1e-15) { title = round(dcor(xy[,1], xy[,2]), 1) if (sd(xy[,2]) < eps) title = "" # corr. coeff. is undefined plot(xy, main = title, xlab = "", ylab = "", col = "darkblue", pch = 16, cex = 0.2, xaxt = "n", yaxt = "n", bty = "n", xlim = xlim, ylim = ylim) } MvNormal <- function(n = 1000, cor = 0.8) { for (i in cor) { sd = matrix(c(1, i, i, 1), ncol = 2) x = rmvnorm(n, c(0, 0), sd) MyPlot(x) } } rotation <- function(t, X) return(X %*% matrix(c(cos(t), sin(t), -sin(t), cos(t)), ncol = 2)) RotNormal <- function(n = 1000, t = pi/2) { sd = matrix(c(1, 1, 1, 1), ncol = 2) x = rmvnorm(n, c(0, 0), sd) for (i in t) MyPlot(rotation(i, x)) } Others <- function(n = 1000, spread = 1) { # x = seq(-1, 1, length.out = n) #generates a time series (serial dependence) x = runif(n, -1, 1) #same image, not a time series (no serial dependence) y = 4 * (x^2 - 1/2)^2 + runif(n, -1, 1) /3 * spread MyPlot(cbind(x,y), xlim = c(-1, 1), ylim = c(-1/3, 1+1/3)) y = runif(n, -1, 1) xy = rotation(-pi/8, cbind(x,y)) lim = sqrt(2+sqrt(2)) / sqrt(2) MyPlot(cbind(xy[,1], xy[,2]*spread), xlim = c(-lim, lim), ylim = c(-lim, lim)) xy = rotation(-pi/8, xy) MyPlot(cbind(xy[,1], xy[,2]*spread), xlim = c(-sqrt(2), sqrt(2)), ylim = c(-sqrt(2), sqrt(2))) y = 2*x^2 + runif(n, -1, 1) * spread MyPlot(cbind(x,y), xlim = c(-1, 1), ylim = c(-1, 3)) y = (x^2 + runif(n, 0, 1/2) * spread) * sample(seq(-1, 1, 2), n, replace = TRUE) MyPlot(cbind(x,y), xlim = c(-1.5, 1.5), ylim = c(-1.5, 1.5)) y = cos(x*pi) + rnorm(n, 0, 1/8) * spread x = sin(x*pi) + rnorm(n, 0, 1/8) * spread MyPlot(cbind(x,y), xlim = c(-1.5, 1.5), ylim = c(-1.5, 1.5)) xy1 = rmvnorm(n/4, c( 3, 3), diag(2)*spread) xy2 = rmvnorm(n/4, c(-3, 3), diag(2)*spread) xy3 = rmvnorm(n/4, c(-3, -3), diag(2)*spread) xy4 = rmvnorm(n/4, c( 3, -3), diag(2)*spread) MyPlot(rbind(xy1, xy2, xy3, xy4), xlim = c(-3-4, 3+4), ylim = c(-3-4, 3+4)) } output <- function() { devSVGTips(width = 7, height = 4.4) # remove first and last line for no svg exporting par(mfrow = c(4, 7), oma = c(0,0,0,0), mar=c(2,2,2,0)) MvNormal(800, c(1.0, 0.8, 0.4, 0.0, -0.4, -0.8, -1.0)); RotNormal(200, c(0, pi/12, pi/6, pi/4, pi/2-pi/6, pi/2-pi/12, pi/2)); Others(800) Others(800, 0.3) dev.off() # remove first and last line for no svg exporting
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.
Items portrayed in this file
depicts
2 March 2012
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 03:38, 2 March 2012 | 506 × 318 (1.02 MB) | Naught101 | {{subst:Upload marker added by en.wp UW}} {{Information |Description = {{en|Recreation of File:Correlation_examples2.svg using the distance correlation method (dcor from the R energy l... |
File usage
The following page uses this file:
Global file usage
The following other wikis use this file:
- Usage on es.wikipedia.org
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Short title | R SVG Plot |
---|---|
Image title | R SVG Plot with tooltips! (mode=1) |
Retrieved from "https://en.wikipedia.org/wiki/File:Distance_Correlation_Examples.svg"