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@jhemann
Created September 25, 2014 16:32
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Supporting notebook for my talk at Data Visualization Summit Boston, 2014
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"nbformat_minor": 0,
"worksheets": [
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"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from mpltools import style\n",
"style.use('ggplot')\n",
"%matplotlib inline\n",
"%load_ext rpy2.ipython"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"XYZ = pd.read_table('./Data/data_viz_summit_rule1.txt', sep='\\t', index_col=0, header=0)\n",
"XYZ *= 100\n",
"XYZ.head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Percentage</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>11/1/2013</th>\n",
" <td> 4.75</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11/2/2013</th>\n",
" <td> 6.29</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11/3/2013</th>\n",
" <td> 7.59</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11/4/2013</th>\n",
" <td> 5.80</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11/5/2013</th>\n",
" <td> 7.98</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
" Percentage\n",
"Date \n",
"11/1/2013 4.75\n",
"11/2/2013 6.29\n",
"11/3/2013 7.59\n",
"11/4/2013 5.80\n",
"11/5/2013 7.98"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"XYZ.plot(linewidth=2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<matplotlib.axes.AxesSubplot at 0x114b3ddd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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UYIQQSFKv3dqVULwLWreDLt1THU21VG+/BCPj1YUQSFKvlVngl14Gj0zbRbNUuLNURsAI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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x102d90a90>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def manipulate_perception(data, yrange):\n",
" ax = data.plot(linewidth=2)\n",
" plt.setp(ax.get_xticklabels(), fontsize=8, rotation=30) \n",
" ax.set_ylim(yrange)\n",
" ax.set_title('Match Penetration for Game Type XYZ')\n",
" ax.set_ylabel('Percentage of Total Matches')\n",
" return ax"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"yranges = [[4,10], [0,12], [0,20], [0,50], [0,80], [0,100]] \n",
"axes = [manipulate_perception(XYZ, yrange) for yrange in yranges]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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2E04RLADqAROAiZiOZDG9Xkgp7wGuBBxgIfAzpVRRLOeIBzU5bLQMOV0gJQVn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\n",
"text": [
"<matplotlib.figure.Figure at 0x114d78950>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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vy7G/+Pv9NzfVZJ160GyvREcTM2lDjyFnzhfYmR9hhx1X6brCCiHKrqSJadrF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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x117733150>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Xpn2tl7lNYTD6NvwN6xOQ1hizvQlbEBwKnKGqs1R1k6rOAs5i20HkTDX507/B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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x118a853d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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luIS8xkSkG3Aw8CnQTlVXBW+tAtrVZpvGGGNqJ2wbQUHssiLSBvixpjsUkWbA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\nGGOMqdf+Py5GTjDsmwd9AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x118b2a750>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qe7W0viAIgvLy8lSGnDSFhYVUVlZmOoxQLNbky5U4wWJNlWyKtbi4mEgksk26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\n",
"text": [
"<matplotlib.figure.Figure at 0x118ba66d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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HVwm3FY/i95cBU919Z+Dv8XsREelESauYrifcXuPzQEM87g3govYGYGajgE8Q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\nPZYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x118d69650>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"w, h = axes[0].get_figure().get_size_inches()\n",
"w / h"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"1.5"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%Rpush XYZ\n",
"%R plot(XYZ, type='l')\n",
"%R w <- par(\"pin\")[1]/diff(par(\"usr\")[1:2])\n",
"%R h <- par(\"pin\")[2]/diff(par(\"usr\")[3:4])\n",
"%R asp <- w/h"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Jyckpdc/OhapVq0rTpk1lwYIFdh7nGQhAAAKRJIAAR7JZs6uUk+O/ZkkYBzZJ8AkBCEDg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\nAABJRU5ErkJggg==\n"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"<FloatVector - Python:0x118e12ab8 / R:0x10320fc78>\n",
"[1.124309]"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image(filename='./Images/data_viz_summit_rule1_excel.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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2MHriY7X5GuCatTdf1m/PidXb574QQAABBBBAIAoECOKj4E0K5yW++dVW21rp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\nSopMnDhRdGImz6aB+a5du8wUHGu5Tvh02223ybvvvivaI6+9+/379ze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"prompt_number": 9,
"text": [
"<IPython.core.display.Image at 0x119412610>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Image(filename='./Images/sunspots_default.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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vN6vhzgfEO5EoMRY5O9GJS+yYJCooxiKA/C1Q9ouxZI53cnYIAMD48cCAAWY1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\n7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"prompt_number": 10,
"text": [
"<IPython.core.display.Image at 0x114bb6f50>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Image(filename='./Images/sunspots_better.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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W6fr1lEGumDQJcHenAMnVq87qpT5evAC6dKHbbdvoObO06/Fj4PhxIEMGKidV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\n8zMYPFgSRGqruFiX5V+2rPav52xZWXJvt0yMevxx2V/RZBgyrrUc+02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"prompt_number": 11,
"text": [
"<IPython.core.display.Image at 0x114d08f50>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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