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lovrot/ggplot-billiard-ball-geom-w-aes-for-factors.R

Last active April 1, 2016 20:07
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[ggplot2] Billiard ball "geom" with aestetics for factors - numbers in symbols
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ggplot-billiard-ball-geom-w-aes-for-factors.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## [ggplot2] Billiard ball \"geom\" with aestetics for factors - numbers in symbols\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the ggplot2 package and set graphics theme."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"library(ggplot2)\n",
"ggplot2::theme_set(theme_classic())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a dataframe with dummy data."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
" x y category\n",
" Min. : 0.4395 Min. :-0.06782 a:5 \n",
" 1st Qu.: 6.3335 1st Qu.: 4.35955 b:3 \n",
" Median :10.8892 Median :11.34014 c:4 \n",
" Mean :10.6416 Mean :10.44874 d:5 \n",
" 3rd Qu.:14.8415 3rd Qu.:16.03835 e:3 \n",
" Max. :19.7014 Max. :19.61953 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"set.seed(123)\n",
"n <- 20\n",
"n_categories <- 5\n",
"df <- data.frame(\n",
" x = 1:n + rnorm(n),\n",
" y = 1:n + rnorm(n),\n",
" category = sample(factor(letters[1:n_categories]), size = n, replace = TRUE))\n",
"\n",
"summary(df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create an initial graph."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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"output_type": "display_data"
}
],
"source": [
"gg <- ggplot(data = df, aes(x = x, y = y, col = category, label = as.integer(category))) +\n",
" geom_point(shape = 19, size = 6) +\n",
" geom_text(col = \"white\", size = 3)\n",
"plot(gg)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Problem\n",
"\n",
"How can we get numbers in the symbols in the figure legend?\n",
"\n",
"### Solution\n",
"\n",
"The philosophy in the Grammar of Graphics and ggplot is that we map abstract data to things we can perceive with our senses, aestetics.\n",
"The solution to the problem is to think about the numbers as shapes and not text, and then define your own mapping from category to shape.\n",
"\n",
"Define a mapping for the shapes on the billiard balls, i.e. the numbers on the balls."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"<dl class=dl-horizontal>\n",
"\t<dt>a</dt>\n",
"\t\t<dd>'1'</dd>\n",
"\t<dt>b</dt>\n",
"\t\t<dd>'2'</dd>\n",
"\t<dt>c</dt>\n",
"\t\t<dd>'3'</dd>\n",
"\t<dt>d</dt>\n",
"\t\t<dd>'4'</dd>\n",
"\t<dt>e</dt>\n",
"\t\t<dd>'5'</dd>\n",
"</dl>\n"
],
"text/latex": [
"\\begin{description*}\n",
"\\item[a] '1'\n",
"\\item[b] '2'\n",
"\\item[c] '3'\n",
"\\item[d] '4'\n",
"\\item[e] '5'\n",
"\\end{description*}\n"
],
"text/markdown": [
"a\n",
": '1'b\n",
": '2'c\n",
": '3'd\n",
": '4'e\n",
": '5'\n",
"\n"
],
"text/plain": [
" a b c d e \n",
"\"1\" \"2\" \"3\" \"4\" \"5\" "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"shapes_category <- as.character(1:length(levels(df$category)))\n",
"names(shapes_category) <- levels(df$category)\n",
"\n",
"shapes_category"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a revised version of the graph."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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" <use xlink:href=\"#glyph0-3\" x=\"444.527344\" y=\"246.575195\"/>\n",
"</g>\n",
"<path style=\"fill-rule:nonzero;fill:rgb(0%,69.019608%,96.470588%);fill-opacity:1;stroke-width:0.708661;stroke-linecap:round;stroke-linejoin:round;stroke:rgb(0%,69.019608%,96.470588%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 454.28125 260.472656 C 454.28125 264.203125 451.257812 267.226562 447.527344 267.226562 C 443.796875 267.226562 440.769531 264.203125 440.769531 260.472656 C 440.769531 256.738281 443.796875 253.714844 447.527344 253.714844 C 451.257812 253.714844 454.28125 256.738281 454.28125 260.472656 \"/>\n",
"<g style=\"fill:rgb(100%,100%,100%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph0-2\" x=\"444.527344\" y=\"264.356445\"/>\n",
"</g>\n",
"<path style=\"fill-rule:nonzero;fill:rgb(90.588235%,41.960784%,95.294118%);fill-opacity:1;stroke-width:0.708661;stroke-linecap:round;stroke-linejoin:round;stroke:rgb(90.588235%,41.960784%,95.294118%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 454.28125 277.75 C 454.28125 281.484375 451.257812 284.507812 447.527344 284.507812 C 443.796875 284.507812 440.769531 281.484375 440.769531 277.75 C 440.769531 274.019531 443.796875 270.996094 447.527344 270.996094 C 451.257812 270.996094 454.28125 274.019531 454.28125 277.75 \"/>\n",
"<g style=\"fill:rgb(100%,100%,100%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph0-5\" x=\"444.527344\" y=\"280.633789\"/>\n",
"</g>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph1-5\" x=\"458.328125\" y=\"211.652344\"/>\n",
"</g>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph1-6\" x=\"458.328125\" y=\"228.929688\"/>\n",
"</g>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph1-7\" x=\"458.328125\" y=\"246.210938\"/>\n",
"</g>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph1-8\" x=\"458.328125\" y=\"263.492188\"/>\n",
"</g>\n",
"<g style=\"fill:rgb(0%,0%,0%);fill-opacity:1;\">\n",
" <use xlink:href=\"#glyph1-9\" x=\"458.328125\" y=\"280.769531\"/>\n",
"</g>\n",
"</g>\n",
"</svg>\n"
],
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/svg+xml": {
"isolated": true
}
},
"output_type": "display_data"
}
],
"source": [
"gg <- ggplot(data = df, aes(x = x, y = y)) +\n",
" geom_point(aes(col = category), shape = 19, size = 6) +\n",
" geom_point(aes(shape = category), col = \"white\", size = 3) +\n",
" scale_shape_manual(values = shapes_category)\n",
"plot(gg)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For fun, here's an alternative version."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
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"source": [
"gg <- ggplot(data = df, aes(x = x, y = y)) +\n",
" geom_point(aes(col = category), shape = 21, fill = \"white\", size = 6, stroke = 2) +\n",
" geom_point(aes(shape = category), col = \"black\", size = 3) +\n",
" scale_shape_manual(values = shapes_category)\n",
"plot(gg)"
]
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Raw
ggplot-billiard-ball-geom-w-aes-for-factors.R
library(ggplot2)
ggplot2::theme_set(theme_classic())
## Create a dataframe with dummy data
set.seed(123)
n <- 20
n_categories <- 5
df <- data.frame(
x = 1:n + rnorm(n),
y = 1:n + rnorm(n),
category = sample(factor(letters[1:n_categories]), size = n, replace = TRUE))
summary(df)
## Create an initial graph
gg <- ggplot(data = df, aes(x = x, y = y, col = category, label = as.integer(category))) +
geom_point(shape = 19, size = 6) +
geom_text(col = "white", size = 3)
plot(gg)
## Problem
## -------
## How can we get numbers in the symbols in the figure legend?
##
## Solution
## --------
## The philosophy in the Grammar of Graphics and ggplot is that we map
## abstract data to things we can perceive with our senses, aestetics.
## The solution to the problem is to think about the numbers as shapes
## and not text, and then define your own mapping from category to shape.
## Define a mapping for the shapes on the billiard balls, i.e. the numbers on the balls
shapes_category <- as.character(1:length(levels(df$category)))
names(shapes_category) <- levels(df$category)
shapes_category
## Create a revised version of the graph
gg <- ggplot(data = df, aes(x = x, y = y)) +
geom_point(aes(col = category), shape = 19, size = 6) +
geom_point(aes(shape = category), col = "white", size = 3) +
scale_shape_manual(values = shapes_category)
plot(gg)
## For fun, here's an alternative version
gg <- ggplot(data = df, aes(x = x, y = y)) +
geom_point(aes(col = category), shape = 21, fill = "white", size = 6, stroke = 2) +
geom_point(aes(shape = category), col = "black", size = 3) +
scale_shape_manual(values = shapes_category)
plot(gg)
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