{ "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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uqan/XS33/3nTtulZVAECAsDLt3U58+/W3z5oCAgFWrVrVlOquwsPDAgQPd3NzM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\nAABJRU5ErkJggg==", "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": [ "── Attaching packages ─────────────────────────────────────── tidyverse 1.2.1 ──\n", "✔ ggplot2 2.2.1 ✔ purrr 0.2.5\n", "✔ tibble 1.4.2 ✔ dplyr 0.7.5\n", "✔ tidyr 0.8.1 ✔ stringr 1.3.1\n", "✔ readr 1.1.1 ✔ forcats 0.3.0\n", "── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──\n", "✖ dplyr::filter() masks stats::filter()\n", "✖ dplyr::lag() masks stats::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", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
xy
0.0078876791.3998233
0.0097868651.0518361
0.0124356111.1777531
0.0134983440.6454949
0.0248605461.0486680
0.0250395191.3167181
\n" ], "text/latex": [ "\\begin{tabular}{r|ll}\n", " x & y\\\\\n", "\\hline\n", "\t 0.007887679 & 1.3998233 \\\\\n", "\t 0.009786865 & 1.0518361 \\\\\n", "\t 0.012435611 & 1.1777531 \\\\\n", "\t 0.013498344 & 0.6454949 \\\\\n", "\t 0.024860546 & 1.0486680 \\\\\n", "\t 0.025039519 & 1.3167181 \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "x | y | \n", "|---|---|---|---|---|---|\n", "| 0.007887679 | 1.3998233 | \n", "| 0.009786865 | 1.0518361 | \n", "| 0.012435611 | 1.1777531 | \n", "| 0.013498344 | 0.6454949 | \n", "| 0.024860546 | 1.0486680 | \n", "| 0.025039519 | 1.3167181 | \n", "\n", "\n" ], "text/plain": [ " x y \n", "1 0.007887679 1.3998233\n", "2 0.009786865 1.0518361\n", "3 0.012435611 1.1777531\n", "4 0.013498344 0.6454949\n", "5 0.024860546 1.0486680\n", "6 0.025039519 1.3167181" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(df)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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4zMzMyrV6/qVqbKy4Q7trAeP1L4+UuGjaY56BGHWkHCAQDQUDx58kTPclZpiejP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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": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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cIx4SAiIiKFY8JBRERECseEg4iIiBSO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QQqicJBxCCCGEUDlJOIQQQgihcpJwCCGEEELltNYv49cAAAkaSURBVL/44gtNx/Da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\nXaC+NwAAAABJRU5ErkJggg==", "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": "r" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.4" } }, "nbformat": 4, "nbformat_minor": 2 }