{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# R Graphics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## R Graphics Systems" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are 3 different grpahcis systems widely used in R - base, `lattice` and `ggplot2`. We will focus on `ggplot2` because it provides the most logical approach to plot constructin using a *grammar of graphics*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Base" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "n <- 100\n", "x <- sort(runif(n))\n", "y <- x^2 + x + 1 + 0.2*rnorm(n)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "m <- lm(y ~ I(x^2))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "options.orig <- options(repr.plot.width=6, repr.plot.height=4)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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oVCafN3/OjRoxMSElqXNjTAr7+CtTWRbSQICk5UUbmmpcUikSQlJQHg4MGDffv2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\nAADiCBwAAEAcgQMAAIgjcAAAAHH/A7URBoo9d2/UAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title “Base Graphics”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(x, y, main=\"Base Graphics\")\n", "lines(x, predict(m), col = \"red\", lwd = 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `ggplot2`" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Registered S3 methods overwritten by 'ggplot2':\n", " method from \n", " [.quosures rlang\n", " c.quosures rlang\n", " print.quosures rlang\n", "── \u001b[1mAttaching packages\u001b[22m ─────────────────────────────────────── tidyverse 1.2.1 ──\n", "\u001b[32m✔\u001b[39m \u001b[34mggplot2\u001b[39m 3.1.1 \u001b[32m✔\u001b[39m \u001b[34mpurrr \u001b[39m 0.3.2\n", "\u001b[32m✔\u001b[39m \u001b[34mtibble \u001b[39m 2.1.2 \u001b[32m✔\u001b[39m \u001b[34mdplyr \u001b[39m 0.8.1\n", "\u001b[32m✔\u001b[39m \u001b[34mtidyr \u001b[39m 0.8.3 \u001b[32m✔\u001b[39m \u001b[34mstringr\u001b[39m 1.4.0\n", "\u001b[32m✔\u001b[39m \u001b[34mreadr \u001b[39m 1.3.1 \u001b[32m✔\u001b[39m \u001b[34mforcats\u001b[39m 0.4.0\n", "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n", "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n", "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m masks \u001b[34mstats\u001b[39m::lag()\n" ] } ], "source": [ "library(tidyverse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `ggplto2` only works on `data.frame` or similar objects" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "df <- tibble(x=x, y=y)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A tibble: 6 × 2
xy
<dbl><dbl>
0.025977200.8526721
0.039396770.9947642
0.049151260.9809143
0.049202001.1198401
0.056099141.0031721
0.066697881.3603442
\n" ], "text/latex": [ "A tibble: 6 × 2\n", "\\begin{tabular}{r|ll}\n", " x & y\\\\\n", " & \\\\\n", "\\hline\n", "\t 0.02597720 & 0.8526721\\\\\n", "\t 0.03939677 & 0.9947642\\\\\n", "\t 0.04915126 & 0.9809143\\\\\n", "\t 0.04920200 & 1.1198401\\\\\n", "\t 0.05609914 & 1.0031721\\\\\n", "\t 0.06669788 & 1.3603442\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A tibble: 6 × 2\n", "\n", "| x <dbl> | y <dbl> |\n", "|---|---|\n", "| 0.02597720 | 0.8526721 |\n", "| 0.03939677 | 0.9947642 |\n", "| 0.04915126 | 0.9809143 |\n", "| 0.04920200 | 1.1198401 |\n", "| 0.05609914 | 1.0031721 |\n", "| 0.06669788 | 1.3603442 |\n", "\n" ], "text/plain": [ " x y \n", "1 0.02597720 0.8526721\n", "2 0.03939677 0.9947642\n", "3 0.04915126 0.9809143\n", "4 0.04920200 1.1198401\n", "5 0.05609914 1.0031721\n", "6 0.06669788 1.3603442" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(df)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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OzZMywszEj5AABA5Z0+ffr7779/9uwZ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\n2LS0tM6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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(df, aes(x=x, y=y)) + \n", "geom_point() +\n", "geom_line(aes(x=x, y=predict(m), color=\"red\")) +\n", "labs(title=\"ggplot2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `lattice`\n", "\n", "For more examples, see [Getting Started with Lattice Graphics](http://lattice.r-forge.r-project.org/Vignettes/src/lattice-intro/lattice-intro.pdf)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "library(lattice) " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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86nveSNtREaBxFyrkcekYA2lviY9KVZUVYsOIiISP6aWuD0YEw8g7V3YK6PiASU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\ndE6H0281R+7ms5dbCfroADEpXPPnq6682ZT5Xbj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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xyplot(y ~ x,\n", " main = \"Lattice Graphics\",\n", " panel = function(x, y, ...) {\n", " panel.xyplot(x, y, ...)\n", " panel.lines(x, predict(m), col.line = \"red\")\n", " }\n", " )" ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 2 }