{ "metadata": { "name": "", "signature": "sha256:88e87ea26bf2f01b85674018d26bca9c797ec309cf87a25ef00b22127edc1dad" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# A Gallery of Statistical Graphs in Matplotlib (Matplotlib Defaults)\n", "\n", "For hints on improving on matplotlib's default style, see [this alternate notebook](nbviewer.ipython.org/urls/raw.github.com/cs109/content/master/lec_03_statistical_graphs.ipynb)\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from urllib import urlopen\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from matplotlib import rcParams\n", "rcParams['figure.figsize'] = (10, 6)\n", "rcParams['figure.dpi'] = 150" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example Data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "file = urlopen('https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/ggplot2/diamonds.csv')\n", "diamonds = pd.read_csv(file)\n", "\n", "file = urlopen('http://www.columbia.edu/~cjd11/charles_dimaggio/DIRE/resources/R/titanic.csv')\n", "titanic = pd.read_csv(file)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "change = [23.2, 22.7, 19.7, 13.9, 13.1, 12.8, 12.7,\n", " 12.6, 12.0, 11.5, 10.8, 10.4, 10.4, 9.8, 9.2,\n", " 9.2, 8.8, 7.7, 6.9, 6.9, 6.4, 5.6, 5.3, 5.3, 5.2, 4.9,\n", " 4.8, 4.6, 3.6, 3.1, 0.7, -.3, -.7, -1.2, -1.5, -1.7, \n", " -1.7, -1.8, -2, -2.3, -2.4, -3.6, -3.7,\n", " -4.9, -6.5, -6.6, -11.6, -14.8, -17.6, -23.1]\n", "city = ['Philadelphia', 'Tucson', 'Kansas City, MO',\n", " 'El Paso', 'Portland, Ore.', 'New York', 'Dallas',\n", " 'Columbus', 'Mesa', 'Austin', 'Atlanta', 'Fort Worth',\n", " 'Miami', 'Houston', 'Chicago', 'Oakland', 'Virginia Beach',\n", " 'Baltimore', 'Denver', 'Detroit', 'San Antonio', 'Phoenix',\n", " 'Oklahoma City', 'Indianapolis', 'Milwaukee', 'Sacramento',\n", " 'Washington, D.C.', 'Colorado Springs', 'Honolulu', 'Nashville',\n", " 'Jacksonville', 'Louisville', 'Seattle', \n", " 'Memphis', 'Fresno', 'Boston', 'Mineappolis',\n", " 'San Jose', 'Tulsa', 'Charlotte', 'San Diego', 'Los Angeles',\n", " 'Long Beach', 'Cleveland', 'San Francisco', 'Albuquerque',\n", " 'Arlington, TX', 'Omaha', 'Wichita', 'Las Vegas']\n", "\n", "grad = pd.DataFrame({'change' : change, 'city': city})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bar Chart" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(3, 8))\n", "\n", "change = grad.change[grad.change > 0]\n", "city = grad.city[grad.change > 0]\n", "pos = np.arange(len(change))\n", "\n", "plt.title('1995-2005 Change in HS graduation rate')\n", "plt.barh(pos, change)\n", "\n", "#add the numbers to the side of each bar\n", "for p, c, ch in zip(pos, city, change):\n", " plt.annotate(str(ch), xy=(ch + 1, p + .5), va='center')\n", "\n", "#set plot limits\n", "plt.ylim(pos.max() + 1, pos.min() - 1)\n", "plt.xlim(0, 30)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "(0, 30)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6LX3Q16xZg7///e+wtrbG559/jokTJ6otb2nbv//97/Dw8IC3tzeio6MxYcIEdO7cGQDQ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\nAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "change = grad.change[grad.change < 0].values\n", "city = grad.city[grad.change < 0].values\n", "\n", "pos = np.arange(len(change))\n", "red = (0.78, 0.22, 0.18) # RGB triplet\n", "\n", "plt.figure(figsize=(3, 6), dpi=200)\n", "plt.barh(pos, change, color=red)\n", "plt.yticks(pos + .5, city)\n", "\n", "#add the numbers to the side of each bar\n", "for p, c, ch in zip(pos, city, change):\n", " plt.annotate(str(ch), xy=(ch - 1, p + .5), va='center', ha='right')\n", "\n", "plt.ylim(pos.max() + 1, pos.min()- .5)\n", "plt.xlim(-30, 0)\n", "plt.title('1995-2005 Change in HS graduation rate')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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lDYnz8/OjVatW8vad92b06qTSb0l5UXXq1EGj0Wgdl7s/re8H/oSqJzckbseO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\nCGDKlCksXbqUQYMG8fDhQyZOnMjQoUN5/vnnK1VHfn4+zZs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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "years = np.arange(2004, 2009)\n", "heights = np.random.random(years.shape) * 7000 + 3000\n", "\n", "box_colors = ['r', 'g', 'b', 'c', 'm']\n", "\n", "plt.bar(years - .4, heights, color=box_colors)\n", "plt.yticks([2000, 4000, 6000, 8000])\n", "\n", "for x, y in zip(years, heights):\n", " plt.annotate(\"%i\" % y, (x, y + 200), ha='center')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VkJCgH/zgB9qyZYsk6ZlnnlFbW5tiY2OVlJSkrKwsxcTESOr6BOO4ceN8D//+8Y9/bOep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\nj0dlZWWaP3++vF6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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dot Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scatterplots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(tight_layout=True, figsize=(6, 4))\n", "plt.subplot(121)\n", "plt.scatter(diamonds.carat, diamonds.price, color='k')\n", "plt.ylim(0, diamonds.price.max())\n", "plt.xlim(0, 5)\n", "plt.xlabel(\"Carat\")\n", "plt.ylabel(\"Price\")\n", "\n", "plt.subplot(122)\n", "plt.scatter(diamonds.carat, diamonds.price, color='k', alpha=.01)\n", "plt.ylim(0, diamonds.price.max())\n", "plt.xlim(0, 5)\n", "\n", "plt.xlabel(\"Carat\")\n", "plt.ylabel(\"Price\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/Users/beaumont/anaconda/lib/python2.7/site-packages/matplotlib/figure.py:1595: UserWarning: This figure includes Axes that are not compatible with tight_layout, so its results might be incorrect.\n", " warnings.warn(\"This figure includes Axes that are not \"\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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MHo8HFRUVmD9/Pp544omsjXcGgwEul6vgw/5oNIrvvvsOK1euxMiRIwsuAvR4PCmPw+Fw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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Trend Lines" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# the raw data\n", "x = diamonds.carat[diamonds.carat < 2]\n", "y = diamonds.price[diamonds.carat < 2]\n", "plt.plot(x, y, 'o', mec='none', alpha=.05)\n", "\n", "#fit and overplot a 2nd order polynomial\n", "params = np.polyfit(x, y, 2)\n", "xp = np.linspace(x.min(), 2, 20)\n", "yp = np.polyval(params, xp)\n", "plt.plot(xp, yp, 'k')\n", "\n", "#overplot an error band\n", "sig = np.std(y - np.polyval(params, x))\n", "plt.fill_between(xp, yp - sig, yp + sig, \n", " color='k', alpha=0.2)\n", "\n", "plt.xlabel(\"Carat\")\n", "plt.ylabel(\"Price\")\n", "plt.xlim(0, 2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "(0, 2)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vxP79+1c8Xz9hiJ2BgYFBH+FfXIJUA125WMvxBxEy1BdGmthycdXHDKxNyVpp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we+SRR9izZw8PPPAAMzMzAJw4cYLBwcHmZQYHBzl+/PgZHx8YGOD48eMAHD9+nKGh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\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bubble Charts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pie Charts" ] }, { "cell_type": "code", "collapsed": false, "input": [ "t = titanic.groupby(['pclass']).size()\n", "print t\n", "\n", "plt.subplot(aspect=True)\n", "plt.pie(t, labels=t.index.values, autopct='%i%%')\n", "plt.title(\"Passenger Class on the Titanic\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "pclass\n", "1st 323\n", "2nd 277\n", "3rd 709\n", "dtype: int64\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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eb1cz+GXpLlmyhHmL5pHdRqYVvJodlJSu13E4XuTgQRuff/6F1lE04XfTC2lp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\nHUaIB7Qb54kP//f224z8y1+0juMzpHS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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Donut Charts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Stacked Bar Chart" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tclass = titanic.groupby(['pclass', 'survived']).size().unstack()\n", "print tclass\n", "\n", "red, blue = '#B2182B', '#2166AC'\n", "\n", "plt.subplot(121)\n", "plt.bar([0, 1, 2], tclass[0], color=red, label='Died')\n", "plt.bar([0, 1, 2], tclass[1], bottom=tclass[0], color=blue, label='Survived')\n", "plt.xticks([0.5, 1.5, 2.5], ['1st Class', '2nd Class', '3rd Class'], rotation='horizontal')\n", "plt.ylabel(\"Number\")\n", "plt.xlabel(\"\")\n", "plt.legend(loc='upper left')\n", "\n", "#normalize each row by transposing, normalizing each column, and un-transposing\n", "tclass = (1. * tclass.T / tclass.T.sum()).T\n", "\n", "plt.subplot(122)\n", "plt.bar([0, 1, 2], tclass[0], color=red, label='Died')\n", "plt.bar([0, 1, 2], tclass[1], bottom=tclass[0], color=blue, label='Survived')\n", "plt.xticks([0.5, 1.5, 2.5], ['1st Class', '2nd Class', '3rd Class'], rotation='horizontal')\n", "plt.ylabel(\"Fraction\")\n", "plt.xlabel(\"\")\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "survived 0 1\n", "pclass \n", "1st 123 200\n", "2nd 158 119\n", "3rd 528 181\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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jRo1ynhpsyTUUq1evlr+/v+Li4lRYWNhoG4vFcsq+mlo3b94852ObzSabzdZs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\nzkC7DGF5gVFml9BmJO3bYXY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AAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Small Multiples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Waterfall Chart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Stacked Area Chart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogram" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.hist(diamonds.depth, bins=np.linspace(50, 70, 200))\n", "plt.xlabel(\"Depth\")\n", "plt.xlim(55, 70)\n", "plt.show()\n", "\n", "\n", "plt.hist(diamonds.depth, bins=np.linspace(50, 70, 40))\n", "plt.xlabel(\"Depth\")\n", "plt.xlim(55, 70)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Density Plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#KernelDensity objects estimate the (log of the) density of points\n", "#see http://scikit-learn.org/stable/modules/density.html\n", "from sklearn.neighbors.kde import KernelDensity\n", "\n", "age = titanic.age.dropna().values # drop missing values, turn to normal numpy array\n", "age = age.reshape(-1, 1) # scikit-learn expects data matrices of shape [ndata, ndim]\n", "\n", "kde = KernelDensity(bandwidth=2).fit(age)\n", "x = np.linspace(age.min(), age.max(), 100).reshape(-1, 1)\n", "density = np.exp(kde.score_samples(x))\n", "\n", "plt.plot(x, density)\n", "plt.plot(age, age * 0, 'ok', alpha=.03)\n", "plt.ylim(-.001, .035)\n", "\n", "plt.xlabel(\"Age\")\n", "plt.ylabel(\"Density\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KxFv88Qf07AkLFsCgQVZXIyJyrFrrQn3llVcYOXIk2dnZPPnkk86vH+pKnThx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\nrwAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Box and Whisker Plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "male_age = titanic.age[titanic.sex == 'male']\n", "female_age = titanic.age[titanic.sex == 'female']\n", " \n", "plt.boxplot([male_age, female_age])\n", "plt.ylabel(\"Titanic Passanger Age\")\n", "plt.xticks([1, 2], [\"Male\", \"Female\"])\n", "plt.ylim(0, 85)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "(0, 85)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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MHSYlW4bibckJoIUtx6wtORE5biqNhGDLScaWnABa2HLM2pITkevwGq277ror9OQjFxbt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\nH+wkOvTGKpqtAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heat Maps (2D Density Plots)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import make_blobs\n", "from matplotlib.colors import LogNorm\n", "\n", "X, _ = make_blobs(n_samples=20000, centers=3, random_state=42, cluster_std=2)\n", "\n", "plt.scatter(X[:, 0], X[:, 1], 2, color='k')\n", "plt.title(\"Points\")\n", "plt.xlim(-15, 15)\n", "plt.ylim(-15, 15)\n", "plt.gca().set_position([.125, .125, .62, .775])\n", "plt.show()\n", "\n", "plt.hist2d(X[:, 0], X[:, 1], bins=40, norm=LogNorm())\n", "ax = plt.gca()\n", "plt.title(\"Heatmap\")\n", "plt.colorbar()\n", "plt.xlim(-15, 15)\n", "plt.ylim(-15, 15)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2NopvVtaDmzRpkq9pffbs2Zg4caJRohU/Pz+j+5w6dSorkqEMDBSHtpUrV6J0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\nkeZwOBwOp4LCRZrD4XA4nArK/wNSj9OwnNshCQAAAABJRU5ErkJggg==\n", 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