Skip to content

Instantly share code, notes, and snippets.

@jankatins
Created February 22, 2016 13:02
Show Gist options
  • Save jankatins/6efa69d64e6bc63e770a to your computer and use it in GitHub Desktop.
Save jankatins/6efa69d64e6bc63e770a to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# All Imports\n",
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"%matplotlib inline\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"from ggplot import *\n",
"\n",
"import seaborn as sns\n",
"from scipy import stats\n",
"sns.set_style(\"whitegrid\")\n",
"mpl.rcParams[\"figure.figsize\"] = \"2, 2\""
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2016-02-22 14:00:05 \n",
"\n",
"CPython 2.7.11\n",
"IPython 4.0.0\n",
"\n",
"matplotlib 1.5.1\n",
"seaborn 0.7.0\n",
"ggplot 0.6.8\n"
]
}
],
"source": [
"%reload_ext watermark\n",
"%watermark -d -t -v -p matplotlib,seaborn,ggplot"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df = pd.DataFrame(dict(a=list(\"abcd\"*8*3), \n",
" b=[\"in\", \"out\", \"null\"]*8*4, \n",
" x=np.random.normal(1, 1, 8*3*4), \n",
" y=np.random.normal(1, 1, 8*3*4)))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAAC1CAYAAADyQVKDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x20e983c8>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Returning a fig works, but only prints one plot when the last \n",
"# same code results in two plots\n",
"\n",
"name = \"in\"\n",
"data = df[df[\"b\"] == name]\n",
"gg = ggplot(data, aes(x=\"x\", y=\"y\"))\n",
"gg = gg + geom_point(alpha=0.8)\n",
"max_x, min_x = data[\"x\"].max(), data[\"x\"].min()\n",
"max_y, min_y = data[\"y\"].max(), data[\"y\"].min()\n",
"mean_y, mean_x = data[\"y\"].mean(), data[\"x\"].mean()\n",
"# chross at (0,0)\n",
"cross_df = pd.DataFrame({\"xx\":[0,0,0], \"xy\":[min_y-1,1,max_y+1],\"yx\":[max_x+1,1,min_x-1], \"yy\":[0,0,0]})\n",
"gg = gg + geom_line(cross_df, aes(x=\"xx\", y=\"xy\"), color=\"grey\")\n",
"gg = gg + geom_line(cross_df, aes(x=\"yx\", y=\"yy\"), color=\"grey\")\n",
"# the mean cross\n",
"mean_df = pd.DataFrame({\"x\":[mean_x], \"y\":[mean_y], \"label\":[\"mean\"]})\n",
"mean_color = \"red\"\n",
"gg = gg + geom_point(mean_df, aes(x=\"x\", y=\"y\"), color=mean_color, size=150, shape=\"x\")\n",
"gg = gg + labs(x=u\"Quality\\n(delta mean)\", \n",
" y=u\"Quantity\\n(delta mean)\")\n",
"t = \"Lots of words in two lines\\more words to fill the line...\"\n",
"gg = gg + ggtitle(t) \n",
"gg = gg + theme_matplotlib(rc={\"figure.figsize\":\"2, 2\"}, matplotlib_defaults=None)\n",
"\n",
"fig = gg.draw()\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# When run before seaborn, it doesn't result in a plot\n",
"for name in [\"in\", \"out\", \"null\" ]:\n",
" data = df[df[\"b\"] == name]\n",
" gg = ggplot(data, aes(x=\"x\", y=\"y\"))\n",
" gg = gg + geom_point(alpha=0.8)\n",
" max_x, min_x = data[\"x\"].max(), data[\"x\"].min()\n",
" max_y, min_y = data[\"y\"].max(), data[\"y\"].min()\n",
" mean_y, mean_x = data[\"y\"].mean(), data[\"x\"].mean()\n",
" # chross at (0,0)\n",
" cross_df = pd.DataFrame({\"xx\":[0,0,0], \"xy\":[min_y-1,1,max_y+1],\"yx\":[max_x+1,1,min_x-1], \"yy\":[0,0,0]})\n",
" gg = gg + geom_line(cross_df, aes(x=\"xx\", y=\"xy\"), color=\"grey\")\n",
" gg = gg + geom_line(cross_df, aes(x=\"yx\", y=\"yy\"), color=\"grey\")\n",
" # the mean cross\n",
" mean_df = pd.DataFrame({\"x\":[mean_x], \"y\":[mean_y], \"label\":[\"mean\"]})\n",
" mean_color = \"red\"\n",
" gg = gg + geom_point(mean_df, aes(x=\"x\", y=\"y\"), color=mean_color, size=150, shape=\"x\")\n",
" gg = gg + labs(x=u\"Quality\\n(delta mean)\", \n",
" y=u\"Quantity\\n(delta mean)\")\n",
" t = \"Lots of words in two lines\\more words to fill the line...\"\n",
" gg = gg + ggtitle(t) \n",
" gg = gg + theme_matplotlib(rc={\"figure.figsize\":\"2, 2\"}, matplotlib_defaults=None)\n",
" gg.draw()\n",
" ax = plt.gca()\n",
" ax.get_xaxis().get_label().set_visible(False) \n",
" ax.get_yaxis().get_label().set_visible(False)\n",
" ax.spines[\"top\"].set_visible(False) \n",
" ax.spines[\"bottom\"].set_visible(False) \n",
" ax.spines[\"right\"].set_visible(False) \n",
" ax.spines[\"left\"].set_visible(False) \n",
" ax.get_xaxis().tick_bottom() \n",
" ax.get_yaxis().tick_left() \n",
" ax.yaxis.grid(True, which='major')\n",
" ax.xaxis.grid(True, which='major')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAAC1CAYAAADyQVKDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x20e983c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAACbCAYAAADP5zbFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAHq5JREFUeJzt3XtczPn+B/DXTDW6keSybLbTsmKPazwsKhXFIg9l3TpN\nEkccnI1yKFlNtW2uLc6W64MHhwcdNkcnHFYRsnQUEVtuORKVXEZDmTKf3x925jepuTQzNWN6Px8P\nj0fl8/l83/Od77zn8/18P9/Pl8MYYyCEEAPC1XcAhBDyIUpMhBCDQ4mJEGJwKDERQgwOJSZCiMGh\nxEQIMThKE1NpaSkGDRrU5EaTkpKQmZmpcVDyysrKMHHiRPj6+iI/P18nbapj/vz5+Ne//qV2+c2b\nN+Po0aNN2oYu95O83r174+XLl8jMzER8fLxO266trcWkSZN02qYhevHiBXr37t2kOpq8n/LH95Ur\nVxAaGgoAiIyMxO7duwH8//upbHvy5TU1atQo3Lx5EwUFBbI49MVUVQEOh9PkRi9duoQvvvhCo4Aa\na6tTp07YtWuXTtprLt9++22T6+hyP8mTvmejRo3CqFGjdNq2mZkZevTogaKiIjg5Oem0bUPCGGvy\nsa/J+/nh8T1kyJAGZRTF0VzHT9++fbFp0yadt9sUKhOTIiKRCDExMSgsLASHw8HIkSOxZMkSHDx4\nEAUFBVi7di24XC5sbW2xevVqSCQScDgczJs3D97e3g3aS0lJwb59+2BiYgI7Ozt89913KC8vx6ZN\nmyASiRAUFIQ9e/bIyu/duxc3btzAunXrUFdXh6+++gpRUVGYPHky8vLykJCQgEOHDjVod9WqVXBw\ncEBkZCRevnyJR48ewcPDA4GBgYiIiMDTp0/RtWtXPHv2TLatzZs3IyMjA2ZmZmjfvj1Wr16Njh07\n1os/MjISvXr1QnBwMPr374+QkBBkZ2fj6dOnCAwMRFBQUL3y+/fvl+2n27dv4/Dhwzh79iwAYM6c\nOejYsSPWrFkDsVgMNzc3ZGRkoLCwEOvWrUNNTQ3MzMwQGhoKNzc3he/RkSNHcPLkSWzduhWBgYEY\nNGgQ8vLy8PjxYwwZMgRr164FAFy9ehXr169HdXU1uFwuFi1aBA8PD1RWVmL58uV48eIFAMDDwwPf\nfvstRo8ejdOnT8sSU//+/TFr1iycOXMGr1+/xt/+9jf85z//we3bt9GlSxds3boV5ubmuHLlSqPx\nHzlyBIcPH0Z1dTXatm2LPXv24NChQzhw4AAAoH379li5ciU+//zzeq/Pz88Py5Ytw/Dhw3Hs2DFE\nRkbiypUr4PF4+O677/Dll19i4sSJ9Y5TNzc3hIeHg8vlol+/fhg9ejSKioqwfv16lJaWYuPGjbCw\nsEDfvn1l2/lwP7i7uzfoUci/n1wuF8OGDVO4XanLly/XO74XLlyIuLg4/Pvf/67XdmNzoD/cHgDk\n5eXh5MmTePbsGb744gskJibC3Nwc9+7dww8//ICXL19CIpEgMDAQkydPVnjc5OTkyOKIjIyElZUV\nbt++jbKyMnz++ef48ccfYWFh0eR2m4Qp8ejRIzZo0KBG/2/58uUsPj6eMcaYWCxms2fPZtu3b2eM\nMcbn89mpU6cYY4wFBQWxY8eOMcYYKywsZLGxsQ3aunjxIhszZgx78eIFY4yx1NRUNn78eNnP8+bN\na1CntLSUubi4MMYYu3z5MnN1dWXh4eGMMcbWrl3Ldu7cyX799VeF7UZERLDg4GBZewsXLmSbNm1i\njDH2v//9jw0cOJAdOXKEPXnyhA0ePJiJxWLGGGO7d+9mp0+fbhBPREQE27VrF2OMMScnJ7Z//37G\nGGMFBQWsX79+7O3btw3qyO8nLy8vdufOHVZTU8M8PT2Zh4cHY4yxs2fPspCQEPbixQs2YsQIdv36\ndcYYY3fu3GFfffUVe/ToUYN2e/fuzV68eFFv3/H5fLZ48WLGGGMikYi5ubmxy5cvM6FQyMaOHctK\nS0sZY4yVl5czd3d39uTJE5aUlMSio6MZY4y9efOGhYWFsaqqKlZVVcWmTZsm256TkxPbt28fY4yx\n7du3s8GDB7OKigomkUiYn58fS09PVxp/amoqGzp0KHv9+jVjjLGcnBwWEBDAampqGGOMXbhwQfa+\nyUtKSmJr1qxhjL0/Hl1dXVl2djaTSCTM1dWVVVZWKj1OnZycWFpaGmOMscrKSjZkyBB27949xhhj\n27ZtY71795Ztp7H9oOz9VLZdefLv0eXLl5mPjw9jrOHxJD2GFW0vIiKCTZs2jb19+5a9e/eO+fn5\nsaNHj7K6ujo2YcIEduvWLcYYY1VVVWz8+PEsPz+/QXuenp6soKCgQRz+/v6straW1dbWMj8/P5aa\nmtqkdjWh8eD3uXPnwOfzAbzv3vv7++PcuXPyCQ8AMH78eMTGxmLp0qW4efMmlixZ0qCtCxcuYNy4\ncWjfvj2A99+EFRUVKC0tVbj9bt26oUuXLrhx4wbOnz+PefPmIScnBwCQkZGBMWPG4Pz580rbdXZ2\nlrV38eJF+Pn5AQA+++wzDBs2DADQpUsX9OnTB35+flizZg2cnJwwevRolftHWuaPf/wjamtrUV1d\n3Wg56X7y8vJCVlYWcnJyMGzYMHTo0AF3796VvZb8/Hw4ODigX79+AICePXvC2dlZ9prV4enpCQCw\nsrKCg4MDhEIhrl69iqdPn2LhwoXw9fVFSEgIuFwuioqK4ObmhlOnTiEkJAQpKSkIDw+HtbU1rK2t\n0bZtW5SVlcnalvaCP/vsM/Tq1QudOnUCh8OBvb09Xr582Wj8gwcPlsXv5OQES0tLAMDZs2fx8OFD\nzJgxA76+vli3bh1evXqFV69e1Xs9Xl5eOH/+PAAgNzcXwcHBuHDhgmxbdnZ2Ko/TwYMHy+o7OTnJ\nemXTp0+XlVG0H5S9n6q2qytMrjc1evRo8Hg8cLlc9OrVC8+fP8eDBw/w8OFDrFixAr6+vuDz+Xj7\n9i1u3bql9jbc3NxgamoKU1NT9OrVC0KhUCftKqPxqRz7oHspkUhQV1fXoNy0adPg6emJ7OxsnDt3\nDj/99BPS0tLqvbESiaRBPUXtyRszZgyysrKQnZ2N7du3Iz09HcePH4eFhQW6d++usl0rKyvZ3+W7\n2ABgavp+13A4HPzjH/9AQUEBLl68iISEBNlpozJt2rSp9/uH++tD3t7e2LhxI54+fQpXV1d07NgR\nFy5cwIULFxAWFoZr164pfS3qMDc3bxCTRCJBz549kZKSIvt7RUUF7OzsYGJigoyMDFy8eBGXLl3C\nlClTkJycjIEDB8LT0xMZGRkICAgAAPB4PFl96b77cFsf7oN3796hrq4OpqamsqQkfV2TJk1CeHi4\n7G/l5eVo165dvfq9evWCWCxGZmYmHBwc4OnpicWLF8PU1BRjxoyRtSXvw30m3S6Hw6kXn4mJiezn\nfv36KdwPiqjabnMwMzOT/Sx9Pe/evUO7du1w5MgR2f89e/YMbdu2Vbtd+eNGl+0qo7LHpOgD5erq\niv379wMAxGIxUlJS4OLiAuD9gSl9E2bMmIFbt27B19cXsbGxqKqqavDN5+bmhhMnTuD58+cAgJ9/\n/hm2trZwcHBQGpuXlxfS09MhkUjQsWNHjBgxAuvWrcPXX3/d5Hbd3NxkH87Hjx/j8uXLAIDCwkL4\n+PigR48eCAkJwaxZs1BUVKRqt9WjaB/K76dBgwbh4cOHOHPmDIYPH44RI0Zgz549+MMf/oD27dtj\nwIABKC4uxo0bNwAAd+7cQW5uLoYOHar29hozYMAAPHjwAFeuXAEA/Pbbbxg7diwqKiqwYcMGJCUl\nYfTo0YiKikLPnj3x4MEDAO/3fUZGRpO3o078Li4uOHbsGJ4+fQrg/XjKrFmzGm3Xy8sL69evh6ur\nKxwdHVFVVYX09HSMHTsWwPv3VdFxKm/w4MG4e/eu7L1NTU2V/Z+y/SBP/v1Ud7vakN+eIo6OjmjT\npg3S0tIAAE+ePIGPjw9u3ryp1babq10plT2mmpoa2SkP+/1KRUpKCqKiohAXF4eJEyeitrYWI0eO\nxPz58wG8P2WQDtwuW7YM33//PTZt2gQOh4NFixahW7du9bYxYsQIBAUFyQaIbW1tsW3bNpXB9+jR\nAxwOB8OHDwfwPllu2bJFdlrRlHa/++47rFixAhMmTMAnn3yCPn36AHh/qXbcuHGYPHkyLC0tYWFh\ngZUrVyqN68OrKIquqsjvJ19fX4wcORI3b96Era0tBg8eDKFQKPuA2draYtOmTYiLi0N1dTVMTEyQ\nkJDQaJJtbHuKYurQoQP+/ve/Y+3atXj79i0YY1i3bh26du2KoKAgLF++HBMnTgSPx0Pv3r0xYcIE\nAO9Pcd+8eYOqqiqlV6+k/6cs/ry8vHp1XF1d8ec//xmzZ88Gl8uFtbU1fvrpp0bb9/b2xq5du2Qf\nehcXF9y5cwddunQBgAbHqZubm+w4lY+7Q4cOWL9+PZYuXQozM7N6CVPZfpAn/36uXLkSsbGxjX4+\nmkqd40cRMzMzJCcn4/vvv8fOnTvx7t07LFmypNFpQE25Cqmq3ZCQEPj7+8PT0xMHDx7EzZs3ERcX\nh4qKCsybNw/bt29Hp06dFL9m1pSvV0IIaQE081sHnj17Bg8PDxQXF+s7FEKMAiUmLdXV1SE6OrrB\nwDIhRHOUmLS0Zs0a+Pv7o3PnzvoOhRCjQYlJC6mpqbCzs4OLi0uTroQRQpSjwW8t8Pl82ZWMwsJC\nODo6YsuWLbCzs2u0fF5eHiWwj5h0MiZpATqZP04Yn89n9+/fV1rmypUrTW63qXUMcRuGGJOmdUjL\noFM5HdFkFQZCSOM0viWF1Ld37159h0CI0aAeEyHE4FBiIoQYHEpMhBCDQ4mJEGJwKDERQgwOJSbS\nZFlZWfoOgRg5SkykyaqqqvQdAjFylJgIIQaHEhMhxOBQYiKEGBy6JUULEokEK1euRHFxMbhcLmJi\nYtCzZ099h0XIR496TFrIzMwEh8PBgQMHEBoaisTERH2HRIhRoB6TFry8vDBq1CgAQGlpKWxsbPQc\nESHGgRKTlrhcLiIiInD69Gls3rxZ3+EQYhQoMenA6tWr8ezZM0ydOhXHjx+nBxMQoiVaWlcLR48e\nRXl5OUJCQiASieDr64vjx4/Xe1y2vNzc3BaOsHmkp6fDx8dH32G0OFpatwXpewnNj9mbN29YaGgo\nCwgIYNOnT2eZmZlKyxvLErMCgaBZ29ekDi2ta1zoVE4LFhYW2Lhxo77DIMTo0HQBQojBocRECDE4\nlJgIIQaHEhPRCaFQiLCwMEydOhVLliyBUCjUd0jkI0aJiehETEwMsrKyUFxcjHPnziEmJkbfIZGP\nGCUmohMlJSWyh35yOByUlJToOSLyMaPERHTC3t4e7Pe5uowxdO/eXc8RkY8ZJSaiEwKBAO7u7nB0\ndIS7uzuio6P1HRL5iNEES6ITNjY2tOwL0RnqMZGPBl35az0oMZGPBl35az3oVE4LdXV1WLFiBUpL\nS1FbW4v58+fLFo4j9QmFQsTExKCkpAT29vYQCARNXliPrvy1HtRj0kJaWhpsbW2xf/9+7NixA3Fx\ncfoOyWCp09uRP1XbsGFDg1M1uvLXelBi0sK4ceMQGhoK4P2DCUxNqQOqiDq9HfnkdfXq1QbJi678\ntR70SdKChYUFAEAkEiE0NBRLlizRc0TN48PTsPbt2zep3vXr1/H8+XNZ8lbU21GVvOjKX+tBK1hq\n6cmTJ1i0aBH4fD78/PyUlv1YV7BMTExEXl4eOBwOGGOYMWOGWitYyterq6sDl8uFvb09unTpgrlz\n56Jt27YA3j9yfMeOHTh//jxEIhE6duwIExMTODs7IywsrLlfntpoBcuWQz0mLVRWVmLOnDlYtWoV\nhg0bpladph7cubm5TarT1PLq1BGLxbCysqr3N3W2Ia335s0btGvXDo6Ojjh06FCDcmFhYSgsLISd\nnR1qamrAGIOzszOSk5PVHiBvjtdN9IfGmLSwbds2vHr1CsnJyQgMDMTMmTMhFov1HZbOfTjorGk9\nRYPVJSUlePfuHR4/foza2loAwNy5c+lxWK0Y9Zi0EBUVhaioKH2H0ewEAoFsjKkpV8Kk9a5fv47+\n/fsrHKy2t7dHVlYWRCIROBwOhEIhduzYAQ8PDx29AvKxocREVPpw0FndiY3SeqpOmQQCAY4dOwax\nWCz7d/78eQiFQuo1tVJ0KkfUIj/HSPq7rtjY2GDChAmyx17V1tZCJBLRzO5WjBITUYv8HCPp77ok\nEAjQvn17mJubw9raGp06daKZ3a0YJSaiFvk5RtLfdUnaa3J0dET37t3B5XJpZncrRomJqEX+ChuA\nZkka8jO7nZ2daWZ3K0aD30Qt8lfmADRL0pAfZM/NzaWB71aMekxELdKkIZ0gSUmDNCdKTEQnmrKI\nGy34RlShUzmiEzExMcjIyEBZWRnEYjGysrJw5syZRntW0it8HA4H9+/fR0xMDN2cS+qhHhPRiZKS\nEpSVlaGqqgpisRjFxcUKpxTQgm9EFUpMRCfs7e0hFotlCYfH4ylMOLTgG1GFEpMO5OfnIzAwUN9h\n6FWctze+cHAAj8eDtbU1unbtqjDhCFasQHCPHrTgG1GIxpi0tHPnThw9erTBsiCtjbWXF84WFyP6\n9m08ePwY3bt3bzzhiMWwSU/Hon37sOj3W1AI+RD1mLTk4OCApKQkfYehfzweLOfOxbqBA3Fo/34k\nJibWG/gWCoX4W2goklxcsPTqVQirq/UYLDF0lJi05O3tDRMTE32HYRh4PCAgANi/HxCLZdMCli9f\nDm93d1geOYJ/vHuHM9nZdIMuUYpO5VqYJsvrNrVOU8pLl7UtLy9H586dERISIlvyVtNtcPr0QYf4\neKwqKsJ/8/PBAzCiuBjbLC3RwdoaAHD9+nWVcTbn69akDq122XIoMemIuis7GtrSumFhYcjLy4OV\nlRVevHiBtLQ0lXOK0tPTVW/D2Rlfubig2NwcI8vLsaddO7ytrYWlpSUYY+jfv7/SNgxhSWGiP5SY\ndET+zvuPSbPNKeLx8HDoUGzauxchn34KuzZt0NnERLZ6AF2JI8pQYtKBTz/9FAcPHtR3GBqxt7dH\nQUEBgPcLtN27dw9Tp07V+Gm5MmIxor/8ErFBQZiemYkKDw+sjI2le+yIWigxGRGhUIjExESIxWK1\nE4tAIEBFRQXEYjHu3bsHiUSC4uJi7W4VEYuB/fthOXcuVvN4yLt0Cc6//Qb8/hw+QlShq3JGJCYm\nBnl5eUofw/0hGxsbhIWF4dChQ+jRo4fsacIan9b9npQQEPD+Kh0AZmZW72qdKtIESzf5tl6UmIyI\ntuNFWt8q0khSkvlgKoEymiRYYlwoMRkRbROL/AqS6t4qIp2r5P/NNzjg4wOhj0/DpCSlZnKim3wJ\njTEZEfnxIk2ufH34mCZ1SJcwcRaJsNHSEv9NSFDehjQ5XboEjBzZaBH5AXm6ybd1osRkRKTjRS05\nN0fau7n6+6RMtXo3PJ7CpASoTrBCoVC2zK90kJ8YFzqVI1ppjiVMbGxsMHfuXHTv3h0lJSUQCAT1\nBsDlHyVFY1DGiXpMRCNhYWEoKSlBp06dMGzYMFRUVOh04uSOHTtQWFjY6CqXNAZl/CgxkSaR9lx2\n794NHo+HTz75BKNHj5Y9pEBXysvLFSYfe3t73L9/HxwOh8agjBSdypEmkZ42icViVFVVoaysrFl6\nLJ07d1Z4iqjJ1UPycaEekxYYYxAIBCgqKgKPx0N8fLzRf3uXlJTIZpNzOBzZALWuhYSEIC0tDSUl\nJQ1OETW5ekg+LpSYtHD69GmIxWIcPHgQ+fn5SEhIQHJysr7Dalb29vYAAGtra4jFYjg6OuqsxyJ/\ntc3MzAxbtmyhe+taKTqV00Jubi7c3NwAAAMGDJDNvTFm0kvzI0eORHBwsMJHNGlC/mrb1atX6Wpb\nK0Y9Ji2IRKJ6i6qZmppCIpGAyzXefC9NQtoMdjc2D8nGxoauthEZ4/0EtQBra2u8fv1a9ruxJyVd\nUTQPiR7rRKQ4TN2lF0kDp06dwpkzZ5CQkIBr164hOTkZ27dvV1hek6VfASArKwtVVVWahkl+17Zt\nW7i7u2tcn1a7bDmUmLQgf1UOABISEuDo6KiwfEss/6rtNhSdZsmLiYlRe8A7LCwMJ06cgJWVFRhj\ncHd3B2MM586dk81Dcnd3b3CVjZbWbd1ojEkLHA7H6AZopadZjc24VkRZMmts3Gjnzp2y8rTMLmkM\nDYiQejQZgFZ275r8uJF06d6goCCcPXsWYrFY7Yc4kNaFEhOpR5MBaGXJTCAQwNnZGY6OjjAxMYFE\nIsGvv/6KwsJCXLp0iW7CJY2ixETq0eR2D2XJrLGle2tra2WzxmlaAGkMjTGRejS53UMgEKg1ZiS9\n+dbMzAw1NTXg8Xg0LYA0ihIT0Zq6yUyawO7fv4+HDx+ie/fu6NGjBw1+kwYoMZEWQzffEnXRGBMh\nxOBQYiKEGBxKTEQj0sc20UMpSXOgxEQ0Qg8EIM2JEhPRCC1RQpoTJSYt/fLLLwgPD9d3GC2Oligh\nzYkSkxbi4+Px448/6jsMvaAHApDmRPOYtODs7Axvb2+kpKToO5QWR3OSSHOixKSGw4cPY8+ePfX+\nlpCQgHHjxiEnJ0dPURFivGihOC3l5OQgJSUFGzZsUFlW0xUsDU16ejp8fHz0HUaLo0XlWg71mFqY\noa9gqY709HSDi4lWsDQuNPhNCDE41GPS0tChQzF06FB9h0GIUaEeEyHE4FBiIoQYHEpMhBCDQ4mJ\nEGJwKDERQgwOJSZCiMGhxEQIMTiUmAghBocSEyHE4FBiIk3Wtm1bfYdAjBzdkqIhkUiEpUuX4vXr\n16itrUVERAQGDhyo77BahLu7u75DIEaOEpOGdu/ejREjRmDmzJkoLi5GeHg4UlNT9R0WIUaBEpOG\ngoODwePxAAB1dXVo06aNniMixHhQYlKDohUs+/bti6dPn2LZsmWIiorSU3SEGB9KTGqYMmUKpkyZ\n0uDvRUVFWLp0KZYvX44hQ4boITJCjBMtrauhu3fv4q9//Ss2btwIJycnfYdDiFGhxKShBQsWoKio\nCJ9++ikYY2jXrh2SkpL0HRYhRoESEyHE4NAES0KIwaHERAgxOJSYCCEGhxITIcTgUGLSg3v37mHI\nkCEQi8Uqy1ZXV2PBggXg8/mYPXs2KioqlJYXiUSYP38+AgMDMWPGDFy7dk2tmH755ReEh4crLcMY\nQ3R0NGbMmIGZM2eipKRErbbz8/MRGBioslxdXR2WLVuGgIAATJs2DZmZmSrrSCQSrFixAv7+/ggI\nCMDdu3fViunZs2fw8PBAcXGxWuUnT56MmTNnYubMmVixYoVadYjmaIJlCxOJRFi7dq3at7D885//\nRN++fbFgwQIcOXIEO3bsUDrLXJN7+OLj45GdnY0+ffooLXf69GmIxWIcPHgQ+fn5SEhIQHJystI6\nO3fuxNGjR2FlZaW0HACkpaXB1tYWa9euhVAohK+vL0aNGqW0TmZmJjgcDg4cOICcnBwkJiaqjKmu\nrg7R0dEwNzdXGRMA2RfI3r171SpPtEc9pha2atUqhIWFqf2hCAoKwl/+8hcAwOPHj2FjY6O0fHBw\nMGbMmAFA/Xv4nJ2dIRAIVJbLzc2Fm5sbAGDAgAEoKChQWcfBwUHt+V3jxo1DaGgogPc9IVNT1d+b\nXl5eiIuLAwCUlpaq3D8AsGbNGvj7+6Nz585qxVVYWIg3b95gzpw5mDVrFvLz89WqRzRHPaZm0tj9\ndd26dcOECRPg5OSExqaPKbsnLygoCHfu3MGuXbvUKt/YPXyKyo8bNw45OTkqX5NIJKq3FpOpqSkk\nEgm4XMXfb97e3igtLVXZNgBYWFjIthMaGoolS5aoVY/L5SIiIgKnT5/G5s2blZZNTU2FnZ0dXFxc\nsHXrVrXaNzc3x5w5czB16lQ8ePAAc+fOxcmTJ5W+bqIlRlrMmDFjWGBgIOPz+axfv36Mz+c3qf69\ne/eYl5eXynKFhYXMx8eHnT9/Xu22L1++zMLCwpSWSUhIYCdOnJD97u7urlbbjx49YtOnT1er7OPH\nj9nkyZNZamqqWuXlVVZWMk9PT1ZdXa2wTEBAAOPz+YzP57MhQ4awqVOnssrKSqXtvn37ltXU1Mh+\nnzJlCisrK2tyfER91GNqQSdPnpT9PGrUqHq9H0W2b9+OLl26YNKkSbC0tISJiYnS8nfv3sXixYub\n5R4+Z2dnnDlzBl9//TWuXbuGXr16qV2XqXGDQWVlJebMmYNVq1Zh2LBharV79OhRlJeXIyQkBG3a\ntAGXy1Xak9m3b5/s58DAQMTGxsLOzk7pNn7++Wfcvn0b0dHRKC8vx+vXr9GpUye14iOaocSkJxwO\nR60P6zfffIPly5fj8OHDYIwhISFBafnExESIxWLEx8fr/B4+b29vZGdny8awVMUij8PhqCyzbds2\nvHr1CsnJyUhKSgKHw8HOnTtl6141ZsyYMYiMjASfz0ddXR2ioqKUlm9qTMD71SUiIyPxpz/9CVwu\nFz/88AOdxjUzuleOEGJwKO0TQgwOJSZCiMGhxEQIMTiUmAghBocSEyHE4FBiIoQYHEpMhBCDQ4mJ\nEGJw/g8mCcQOfS5YgAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x3a12128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAACbCAYAAADP5zbFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n9A4lJkKI3qHERAjRO5SYCCF65/8BGgMWu54qwVMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c7d0358>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAACbCAYAAADP5zbFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIoRonf8HolbGrGlSL+4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c7f48d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaIAAAGpCAYAAADPzDKsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2178d748>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaIAAAGpCAYAAADPzDKsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIhKKQUREREL9P4uKa580u2bbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x215186d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAaIAAAGpCAYAAADPzDKsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2187bc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# But the seaborn plot call also produces the ggplot ones\n",
"for name in [\"in\", \"out\", \"null\" ]:\n",
" data = df[df[\"b\"] == name]\n",
" g = sns.JointGrid(\"x\", \"y\", data)\n",
" g.plot(sns.regplot, sns.distplot, annot_func=stats.pearsonr)\n",
" n = len(data)\n",
" t = u\"(a) Headline\\n(change 'during' - 'before'; N = %s)\" % (n)\n",
" g.fig.suptitle(t)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAACbCAYAAADP5zbFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEGJw/g8mCcQOfS5YgAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x204b2908>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAACbCAYAAADP5zbFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n9A4lJkKI3qHERAjRO5SYCCF65/8BGgMWu54qwVMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x204b4438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAACbCAYAAADP5zbFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIoRonf8HolbGrGlSL+4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x208549b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# And now the ggplot ones come out\n",
"for name in [\"in\", \"out\", \"null\" ]:\n",
" data = df[df[\"b\"] == name]\n",
" gg = ggplot(data, aes(x=\"x\", y=\"y\"))\n",
" gg = gg + geom_point(alpha=0.8)\n",
" max_x, min_x = data[\"x\"].max(), data[\"x\"].min()\n",
" max_y, min_y = data[\"y\"].max(), data[\"y\"].min()\n",
" mean_y, mean_x = data[\"y\"].mean(), data[\"x\"].mean()\n",
" # chross at (0,0)\n",
" cross_df = pd.DataFrame({\"xx\":[0,0,0], \"xy\":[min_y-1,1,max_y+1],\"yx\":[max_x+1,1,min_x-1], \"yy\":[0,0,0]})\n",
" gg = gg + geom_line(cross_df, aes(x=\"xx\", y=\"xy\"), color=\"grey\")\n",
" gg = gg + geom_line(cross_df, aes(x=\"yx\", y=\"yy\"), color=\"grey\")\n",
" # the mean cross\n",
" mean_df = pd.DataFrame({\"x\":[mean_x], \"y\":[mean_y], \"label\":[\"mean\"]})\n",
" mean_color = \"red\"\n",
" gg = gg + geom_point(mean_df, aes(x=\"x\", y=\"y\"), color=mean_color, size=150, shape=\"x\")\n",
" gg = gg + labs(x=u\"Quality\\n(delta mean)\", \n",
" y=u\"Quantity\\n(delta mean)\")\n",
" t = \"Lots of words in two lines\\more words to fill the line...\"\n",
" gg = gg + ggtitle(t) \n",
" gg = gg + theme_matplotlib(rc={\"figure.figsize\":\"2, 2\"}, matplotlib_defaults=None)\n",
" gg.draw()\n",
" ax = plt.gca()\n",
" ax.get_xaxis().get_label().set_visible(False) \n",
" ax.get_yaxis().get_label().set_visible(False)\n",
" ax.spines[\"top\"].set_visible(False) \n",
" ax.spines[\"bottom\"].set_visible(False) \n",
" ax.spines[\"right\"].set_visible(False) \n",
" ax.spines[\"left\"].set_visible(False) \n",
" ax.get_xaxis().tick_bottom() \n",
" ax.get_yaxis().tick_left() \n",
" ax.yaxis.grid(True, which='major')\n",
" ax.xaxis.grid(True, which='major')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAAC1CAYAAADyQVKDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x226f3d68>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAASYAAAC1CAYAAADyQVKDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x226f3d68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# And the \"return a fig\" call produces two plots\n",
"name = \"in\"\n",
"data = df[df[\"b\"] == name]\n",
"gg = ggplot(data, aes(x=\"x\", y=\"y\"))\n",
"gg = gg + geom_point(alpha=0.8)\n",
"max_x, min_x = data[\"x\"].max(), data[\"x\"].min()\n",
"max_y, min_y = data[\"y\"].max(), data[\"y\"].min()\n",
"mean_y, mean_x = data[\"y\"].mean(), data[\"x\"].mean()\n",
"# chross at (0,0)\n",
"cross_df = pd.DataFrame({\"xx\":[0,0,0], \"xy\":[min_y-1,1,max_y+1],\"yx\":[max_x+1,1,min_x-1], \"yy\":[0,0,0]})\n",
"gg = gg + geom_line(cross_df, aes(x=\"xx\", y=\"xy\"), color=\"grey\")\n",
"gg = gg + geom_line(cross_df, aes(x=\"yx\", y=\"yy\"), color=\"grey\")\n",
"# the mean cross\n",
"mean_df = pd.DataFrame({\"x\":[mean_x], \"y\":[mean_y], \"label\":[\"mean\"]})\n",
"mean_color = \"red\"\n",
"gg = gg + geom_point(mean_df, aes(x=\"x\", y=\"y\"), color=mean_color, size=150, shape=\"x\")\n",
"gg = gg + labs(x=u\"Quality\\n(delta mean)\", \n",
" y=u\"Quantity\\n(delta mean)\")\n",
"t = \"Lots of words in two lines\\more words to fill the line...\"\n",
"gg = gg + ggtitle(t) \n",
"gg = gg + theme_matplotlib(rc={\"figure.figsize\":\"2, 2\"}, matplotlib_defaults=None)\n",
"\n",
"fig = gg.draw()\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "social capital",
"language": "python",
"name": "sc"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
},
"toc": {
"toc-wrapper_display": "block",
"toc_cell": false,
"toc_number_sections": true,
"toc_threshold": 4
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment