{ "cells": [ { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.010609, "end_time": "2019-11-12T16:24:25.690499", "exception": false, "start_time": "2019-11-12T16:24:25.679890", "status": "completed" }, "tags": [] }, "source": [ "## Introduction to ggplot2" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.008946, "end_time": "2019-11-12T16:24:25.708931", "exception": false, "start_time": "2019-11-12T16:24:25.699985", "status": "completed" }, "tags": [] }, "source": [ "This is a short demo on how to convert an R Markdown Notebook into an IPython Notebook using knitr and notedown.\n", "\n", "Adding a Python Chunk" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "kernel": "Python3", "papermill": { "duration": 1.628914, "end_time": "2019-11-12T16:24:27.346978", "exception": false, "start_time": "2019-11-12T16:24:25.718064", "status": "completed" }, "tags": [ "report_cell" ] }, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def f(x):\n", " return x + 2\n", "f(2)" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.009428, "end_time": "2019-11-12T16:24:27.366175", "exception": false, "start_time": "2019-11-12T16:24:27.356747", "status": "completed" }, "tags": [] }, "source": [ "This is an introduction to [ggplot2](http://github.com/hadley/ggplot2). You can view the source as an R Markdown document, if you are using an IDE like RStudio, or as an IPython notebook, thanks to [notedown](https://github.com/aaren/notedown).\n", "\n", "We need to first make sure that we have `ggplot2` and its dependencies installed, using the `install.packages` function.\n", "\n", "Now that we have it installed, we can get started by loading it into our workspace" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "kernel": "R", "papermill": { "duration": 1.604241, "end_time": "2019-11-12T16:24:28.979967", "exception": false, "start_time": "2019-11-12T16:24:27.375726", "status": "completed" }, "tags": [ "report_cell" ] }, "outputs": [], "source": [ "library(ggplot2)" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.009229, "end_time": "2019-11-12T16:24:28.998723", "exception": false, "start_time": "2019-11-12T16:24:28.989494", "status": "completed" }, "tags": [] }, "source": [ "We are now fully set to try and create some amazing plots." ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.009268, "end_time": "2019-11-12T16:24:29.017602", "exception": false, "start_time": "2019-11-12T16:24:29.008334", "status": "completed" }, "tags": [] }, "source": [ "#### Data\n", "\n", "We will use the ubiqutous [iris](http://stat.ethz.ch/R-manual/R-patched/library/datasets/html/iris.html) dataset." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "kernel": "R", "papermill": { "duration": 0.13188, "end_time": "2019-11-12T16:24:29.159109", "exception": false, "start_time": "2019-11-12T16:24:29.027229", "status": "completed" }, "tags": [ "report_cell" ] }, "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 data.frame: 6 × 5
Sepal.LengthSepal.WidthPetal.LengthPetal.WidthSpecies
<dbl><dbl><dbl><dbl><fct>
5.13.51.40.2setosa
4.93.01.40.2setosa
4.73.21.30.2setosa
4.63.11.50.2setosa
5.03.61.40.2setosa
5.43.91.70.4setosa
\n" ], "text/latex": [ "A data.frame: 6 × 5\n", "\\begin{tabular}{r|lllll}\n", " Sepal.Length & Sepal.Width & Petal.Length & Petal.Width & Species\\\\\n", " & & & & \\\\\n", "\\hline\n", "\t 5.1 & 3.5 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.9 & 3.0 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.7 & 3.2 & 1.3 & 0.2 & setosa\\\\\n", "\t 4.6 & 3.1 & 1.5 & 0.2 & setosa\\\\\n", "\t 5.0 & 3.6 & 1.4 & 0.2 & setosa\\\\\n", "\t 5.4 & 3.9 & 1.7 & 0.4 & setosa\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 6 × 5\n", "\n", "| Sepal.Length <dbl> | Sepal.Width <dbl> | Petal.Length <dbl> | Petal.Width <dbl> | Species <fct> |\n", "|---|---|---|---|---|\n", "| 5.1 | 3.5 | 1.4 | 0.2 | setosa |\n", "| 4.9 | 3.0 | 1.4 | 0.2 | setosa |\n", "| 4.7 | 3.2 | 1.3 | 0.2 | setosa |\n", "| 4.6 | 3.1 | 1.5 | 0.2 | setosa |\n", "| 5.0 | 3.6 | 1.4 | 0.2 | setosa |\n", "| 5.4 | 3.9 | 1.7 | 0.4 | setosa |\n", "\n" ], "text/plain": [ " Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n", "1 5.1 3.5 1.4 0.2 setosa \n", "2 4.9 3.0 1.4 0.2 setosa \n", "3 4.7 3.2 1.3 0.2 setosa \n", "4 4.6 3.1 1.5 0.2 setosa \n", "5 5.0 3.6 1.4 0.2 setosa \n", "6 5.4 3.9 1.7 0.4 setosa " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(iris)" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.010011, "end_time": "2019-11-12T16:24:29.179625", "exception": false, "start_time": "2019-11-12T16:24:29.169614", "status": "completed" }, "tags": [] }, "source": [ "#### Simple Plot\n", "\n", "Let us create a simple scatterplot of `Sepal.Length` with `Petal.Length`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "kernel": "R", "papermill": { "duration": 0.349063, "end_time": "2019-11-12T16:24:29.538727", "exception": false, "start_time": "2019-11-12T16:24:29.189664", "status": "completed" }, "tags": [ "report_cell" ] }, "outputs": [ { "data": { "image/png": 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YUmAqX4K1C3bl13n09QJrOOfGZ6vTf0vtEkpUFpa7pHToGR+qh7sCj+Cuh4Vl84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kI/qNJpztu2bbMnqDSNhCp29gw8VezsGYtkVbEjQbJnzB2NxMYEydEO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\n1KgCyZFuqZavv/66rFmzJvSOYZbOmjVLdDyCx0J/Dh988MG4r0qFOR2LEUA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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(iris, aes(x = Sepal.Length, y = Petal.Length)) +\n", " geom_point()" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.011629, "end_time": "2019-11-12T16:24:29.562131", "exception": false, "start_time": "2019-11-12T16:24:29.550502", "status": "completed" }, "tags": [] }, "source": [ "The basic idea in `ggplot2` is to map different plot aesthetics to variables in the dataset. In this plot, we map the x-axis to the variable `Sepal.Length` and the y-axis to the variable `Petal.Length`." ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.011518, "end_time": "2019-11-12T16:24:29.585348", "exception": false, "start_time": "2019-11-12T16:24:29.573830", "status": "completed" }, "tags": [] }, "source": [ "#### Add Color\n", "\n", "Now suppose, we want to color the points based on the `Species`. `ggplot2` makes it really easy, since all you need to do is map the aesthetic `color` to the variable `Species`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "kernel": "R", "papermill": { "duration": 0.368334, "end_time": "2019-11-12T16:24:29.965483", "exception": false, "start_time": "2019-11-12T16:24:29.597149", "status": "completed" }, "tags": [ "report_cell" ] }, "outputs": [ { "data": { "image/png": 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G2oPwvqzzl6ZFGmKd7zlOn2bIdAOoGyBkiTJk2SJUuW7A2OdEGPOeYYueOOO6Sz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\ni3hFAIEUEvhkwxSZYoKjim3BkTatzFcua8rWy3/MBLK39dw6/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F198smR9MlIyZM03mO9Pz1LuvTZFd19C18A4e3lbl++wn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\nBBBAAAEEEEAAAQQQyEyAACkzP45GAAEEEEAAA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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(iris, aes(x = Sepal.Length, y = Petal.Length)) +\n", " geom_point(aes(color = Species))" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.013877, "end_time": "2019-11-12T16:24:29.993000", "exception": false, "start_time": "2019-11-12T16:24:29.979123", "status": "completed" }, "tags": [] }, "source": [ "Note that I could have included the color mapping right inside the `ggplot` line, in which case this mapping would have been applicable globally through all layers. If that doesn't make any sense to you right now, don't worry, as we will get there by the end of this tutorial." ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.013602, "end_time": "2019-11-12T16:24:30.020078", "exception": false, "start_time": "2019-11-12T16:24:30.006476", "status": "completed" }, "tags": [] }, "source": [ "#### Add Line\n", "\n", "We are interested in the relationship between `Petal.Length` and `Sepal.Length`. So, let us fit a regression line through the scatterplot. Now, before you start thinking you need to run a `lm` command and gather the predictions using `predict`, I will ask you to stop right there and read the next line of code." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "kernel": "R", "papermill": { "duration": 0.267617, "end_time": "2019-11-12T16:24:30.301378", "exception": false, "start_time": "2019-11-12T16:24:30.033761", "status": "completed" }, "tags": [ "report_cell" ] }, "outputs": [ { "data": { "image/png": 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I3OkMb17ROOcnNzZcaMGbJixQpJSkqSHj16SO/evUUHVmCylwAByV7tQWkQQAAB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\nHx7Q/0HaYuRu0ZEA9X8YCwIIIICA/wLu/8MWsT/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24wr+3RLoS66JvDnXfeKQ0b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\nh9+H5q7pWShYzfRCmm//PGF9z+lnNt65kf65g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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(iris, aes(x = Sepal.Length, y = Petal.Length)) +\n", " geom_point() +\n", " geom_smooth(method = 'lm', se = F)" ] }, { "cell_type": "markdown", "metadata": { "papermill": { "duration": 0.01523, "end_time": "2019-11-12T16:24:30.331960", "exception": false, "start_time": "2019-11-12T16:24:30.316730", "status": "completed" }, "tags": [] }, "source": [ "If you are like me when the first time I ran this, you might be thinking this is voodoo! I thought so too, but apparently it is not. It is the beauty of `ggplot2` and the underlying notion of grammar of graphics.\n", "\n", "You can extend this idea further and have a regression line plotted for each `Species`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "kernel": "R", "papermill": { "duration": 0.461146, "end_time": "2019-11-12T16:24:30.808506", "exception": false, "start_time": "2019-11-12T16:24:30.347360", "status": "completed" }, "tags": [ "report_cell" ] }, "outputs": [ { "data": { "image/png": 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22Tt4651SylT1DZ0m357NW9cvoc5mqyXHwWIDCFQJ6/eqY4OqsRQAABBBBAAIGT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VwptddcKZEP50ookZBQPC7R99+TGrNO6utzPEvf7qbBUdV999jgKGSyoq/wyhXS7y+X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\nQACBwggQIBXGkbP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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(iris, aes(x = Sepal.Length, y = Petal.Length, color = Species)) +\n", " geom_point() +\n", " geom_smooth(method = 'lm', se = F)" ] } ], "metadata": { "kernelspec": { "display_name": "SoS", "language": "sos", "name": "sos" }, "language_info": { "codemirror_mode": "sos", "file_extension": ".sos", "mimetype": "text/x-sos", "name": "sos", "nbconvert_exporter": "sos_notebook.converter.SoS_Exporter", "pygments_lexer": "sos" }, "papermill": { "duration": 13.158999, "end_time": "2019-11-12T16:24:35.982265", "environment_variables": {}, "exception": null, "input_path": "/Users/bpeng1/sos/sos-docs/doc/media/__tmp_input_nbejbya2eb.ipynb", "output_path": "executed.ipynb", "parameters": {}, "start_time": "2019-11-12T16:24:22.823266", "version": "1.1.0" }, "sos": { "kernels": [ [ "SoS", "sos", "", "" ], [ "Python3", "ir", "", "" ], [ "R", "ir", "", "" ] ] } }, "nbformat": 4, "nbformat_minor": 2 }