2019_06_16a_chart_roulette.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sun Jun 16 23:15:23 PDT 2019\r\n"
     ]
    }
   ],
   "source": [
    "import numpy as np, matplotlib.pyplot as plt, pandas as pd\n",
    "pd.set_option('display.max_rows', 8)\n",
    "!date\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 0. Pick a seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123456)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Pick a visualization package"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'altair'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.choice('matplotlib altair seaborn pen_on_napkin pencil_and_ruler'.split())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Pick a published visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost-effectiveness acceptability curves: probability (given as percentage) that 1) rehabilitation (individual or group) is cost-effective compared with usual primary care and 2) Indiv-rehab is cost-effective compared with Grp-rehab, for a range of values of health care commissioners willingness to pay for an increase in the proportion of participants improving in Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC-func) by 15% at 6 months, from a health/social care perspective. Rehabilitation = costs of individual and group rehabilitation programs combined; Indiv-rehab = rehabilitation program delivered to individual participants; Grp-rehab = rehabilitation program delivered to groups of 8 participants; = English pounds sterling. Conversion rate to US dollars at 2003 purchasing power parity: 1 = $1.613.\r\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import requests, IPython.display\n",
    "r = requests.get('http://viziometrics.org/api/pmc/image/search/',\n",
    "                 params=dict(keywords='quality', number=100, qrandom=True))\n",
    "results = r.json()\n",
    "for r in results:\n",
    "    if r['class_name'] == 'visualization':\n",
    "        break\n",
    "\n",
    "caption = r['caption']\n",
    "s3_key = r['img_loc']\n",
    "\n",
    "r = requests.get('http://s3-us-west-2.amazonaws.com/escience.washington.edu.viziometrics/{}'.format(s3_key))\n",
    "print(caption)\n",
    "IPython.display.Image(data=r.content)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Reproduce visualization with viz package"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_points = 200\n",
    "data = pd.DataFrame(index=range(n_points))\n",
    "\n",
    "data['cost'] = np.linspace(0, 10_000, num=n_points)\n",
    "\n",
    "xx = (data.cost-1_000)/500\n",
    "data['vs_group'] = 100*np.exp(xx) / (1 + np.exp(xx))\n",
    "\n",
    "xx = (data.cost-3_000)/500\n",
    "data['vs_usual'] = 100* .5*np.exp(xx) / (1 + np.exp(xx))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data.cost, data.vs_group, 'k-', label='Rehabilitation vs usual care')\n",
    "plt.plot(data.cost, data.vs_usual, 'k--', label='Individual rehab vs group rehab')\n",
    "plt.xlabel('Cost per 1% change ($)')\n",
    "plt.ylabel('Chance of being cost-effective (%)')\n",
    "plt.legend(loc=(1.05, .65));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RendererRegistry.enable('notebook')"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import altair as alt\n",
    "alt.renderers.enable('notebook')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "var spec = {\"config\": {\"view\": {\"width\": 400, \"height\": 300}, \"mark\": {\"tooltip\": null}}, \"layer\": [{\"mark\": {\"type\": \"line\", \"color\": \"black\"}, \"encoding\": {\"x\": {\"type\": \"quantitative\", \"field\": \"cost\"}, \"y\": {\"type\": \"quantitative\", \"field\": \"vs_group\"}}}, {\"mark\": {\"type\": \"line\", \"color\": \"black\", \"strokeDash\": [5, 5]}, \"encoding\": {\"x\": {\"type\": \"quantitative\", \"field\": \"cost\", \"title\": \"Cost per 1% change ($)\"}, \"y\": {\"type\": \"quantitative\", \"field\": \"vs_usual\", \"title\": \"Chance of cost-effectiveness (%)\"}}}], \"data\": {\"name\": \"data-e3e9a915aad9bf28e79ea0f126722524\"}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v3.3.0.json\", \"datasets\": {\"data-e3e9a915aad9bf28e79ea0f126722524\": [{\"cost\": 0.0, \"vs_group\": 11.920292202211755, \"vs_usual\": 0.12363115783173872}, {\"cost\": 50.25125628140704, \"vs_group\": 13.016535943746359, \"vs_usual\": 0.1366665099614303}, {\"cost\": 100.50251256281408, \"vs_group\": 14.197344998805146, \"vs_usual\": 0.1510721131736126}, {\"cost\": 150.7537688442211, \"vs_group\": 15.46622607484536, \"vs_usual\": 0.1669910821684432}, {\"cost\": 201.00502512562815, \"vs_group\": 16.826273462843503, \"vs_usual\": 0.18458127443139696}, {\"cost\": 251.2562814070352, \"vs_group\": 18.280056269158784, \"vs_usual\": 0.2040167635374794}, {\"cost\": 301.5075376884422, \"vs_group\": 19.829499431939873, \"vs_usual\": 0.22548944957022993}, {\"cost\": 351.75879396984925, \"vs_group\": 21.475761646548435, \"vs_usual\": 0.24921081712452084}, {\"cost\": 402.0100502512563, \"vs_group\": 23.2191141906089, \"vs_usual\": 0.2754138516154958}, {\"cost\": 452.26130653266335, \"vs_group\": 25.058825462336767, \"vs_usual\": 0.30435512472086795}, {\"cost\": 502.5125628140704, \"vs_group\": 26.99305674489572, \"vs_usual\": 0.3363170596905687}, {\"cost\": 552.7638190954774, \"vs_group\": 29.018775192494353, \"vs_usual\": 0.37161038690550713}, {\"cost\": 603.0150753768844, \"vs_group\": 31.131690205289452, \"vs_usual\": 0.41057679938207364}, {\"cost\": 653.2663316582915, \"vs_group\": 33.32621913248167, \"vs_usual\": 0.45359181681179184}, {\"cost\": 703.5175879396985, \"vs_group\": 35.59548755054681, \"vs_usual\": 0.5010678650894006}, {\"cost\": 753.7688442211056, \"vs_group\": 37.93136817666131, \"vs_usual\": 0.5534575759908852}, {\"cost\": 804.0201005025126, \"vs_group\": 40.32456081499962, \"vs_usual\": 0.6112573085661712}, {\"cost\": 854.2713567839196, \"vs_group\": 42.764713671274556, \"vs_usual\": 0.6750108897352197}, {\"cost\": 904.5226130653267, \"vs_group\": 45.240584041632076, \"vs_usual\": 0.7453135663200189}, {\"cost\": 954.7738693467337, \"vs_group\": 47.74023396794647, \"vs_usual\": 0.8228161540790351}, {\"cost\": 1005.0251256281408, \"vs_group\": 50.25125416652994, \"vs_usual\": 0.9082293609773304}, {\"cost\": 1055.2763819095478, \"vs_group\": 52.76100760176423, \"vs_usual\": 1.0023282516394714}, {\"cost\": 1105.5276381909548, \"vs_group\": 55.256882688306156, \"vs_usual\": 1.10595680738537}, {\"cost\": 1155.7788944723618, \"vs_group\": 57.726545412987846, \"vs_usual\": 1.2200325211164624}, {\"cost\": 1206.0301507537688, \"vs_group\": 60.15817974562749, \"vs_usual\": 1.3455509482724053}, {\"cost\": 1256.281407035176, \"vs_group\": 62.54070654814375, \"vs_usual\": 1.4835901138013006}, {\"cost\": 1306.532663316583, \"vs_group\": 64.86397270255061, \"vs_usual\": 1.6353146503036255}, {\"cost\": 1356.78391959799, \"vs_group\": 67.11890420081347, \"vs_usual\": 1.801979514020751}, {\"cost\": 1407.035175879397, \"vs_group\": 69.29761926821739, \"vs_usual\": 1.9849330930653457}, {\"cost\": 1457.286432160804, \"vs_group\": 71.39350000541718, \"vs_usual\": 2.185619486339675}, {\"cost\": 1507.5376884422112, \"vs_group\": 73.40122332340192, \"vs_usual\": 2.4055796923273767}, {\"cost\": 1557.7889447236182, \"vs_group\": 75.31675393678627, \"vs_usual\": 2.64645140509918}, {\"cost\": 1608.0402010050252, 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       "var opt = {};\n",
       "var type = \"vega-lite\";\n",
       "var id = \"cc50e1c3-4f44-47f8-977d-a3d8dbb5c681\";\n",
       "\n",
       "var output_area = this;\n",
       "\n",
       "require([\"nbextensions/jupyter-vega/index\"], function(vega) {\n",
       "  var target = document.createElement(\"div\");\n",
       "  target.id = id;\n",
       "  target.className = \"vega-embed\";\n",
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       "  var style = document.createElement(\"style\");\n",
       "  style.textContent = [\n",
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       "    \"  font-size: 14px;\",\n",
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       "  // element is a jQuery wrapped DOM element inside the output area\n",
       "  // see http://ipython.readthedocs.io/en/stable/api/generated/\\\n",
       "  // IPython.display.html#IPython.display.Javascript.__init__\n",
       "  element[0].appendChild(target);\n",
       "  element[0].appendChild(style);\n",
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       "  vega.render(\"#\" + id, spec, type, opt, output_area);\n",
       "}, function (err) {\n",
       "  if (err.requireType !== \"scripterror\") {\n",
       "    throw(err);\n",
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      "text/plain": [
       "<vega.vegalite.VegaLite at 0x7f207a45cb00>"
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     "data": {
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     "execution_count": 48,
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"
     },
     "metadata": {
      "jupyter-vega": "#cc50e1c3-4f44-47f8-977d-a3d8dbb5c681"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "base = alt.Chart(data)\n",
    "\n",
    "vs_group = base.mark_line(color='black').encode(x='cost',\n",
    "                                                y='vs_group')\n",
    "vs_usual = base.mark_line(color='black', strokeDash=[5, 5])\\\n",
    "    .encode(x=alt.X('cost', title='Cost per 1% change ($)'),\n",
    "            y=alt.Y('vs_usual', title='Chance of cost-effectiveness (%)'))\n",
    "\n",
    "vs_group + vs_usual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "# I can't figure out how to add the legend, does anyone know?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. Have fun"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "var spec = {\"config\": {\"view\": {\"width\": 400, \"height\": 300}, \"mark\": {\"tooltip\": null}}, \"layer\": [{\"mark\": {\"type\": \"line\", \"color\": \"black\"}, \"encoding\": {\"x\": {\"type\": \"quantitative\", \"field\": \"cost\"}, \"y\": {\"type\": \"quantitative\", \"field\": \"vs_group\"}}, \"selection\": {\"selector001\": {\"type\": \"interval\", \"bind\": \"scales\", \"encodings\": [\"x\", \"y\"]}}}, {\"mark\": {\"type\": \"line\", \"color\": \"black\", \"strokeDash\": [5, 5]}, \"encoding\": {\"x\": {\"type\": \"quantitative\", \"field\": \"cost\", \"title\": \"Cost per 1% change ($)\"}, \"y\": {\"type\": \"quantitative\", \"field\": \"vs_usual\", \"title\": \"Chance of cost-effectiveness (%)\"}}}], \"data\": {\"name\": \"data-e3e9a915aad9bf28e79ea0f126722524\"}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v3.3.0.json\", \"datasets\": {\"data-e3e9a915aad9bf28e79ea0f126722524\": [{\"cost\": 0.0, \"vs_group\": 11.920292202211755, \"vs_usual\": 0.12363115783173872}, {\"cost\": 50.25125628140704, \"vs_group\": 13.016535943746359, \"vs_usual\": 0.1366665099614303}, {\"cost\": 100.50251256281408, \"vs_group\": 14.197344998805146, \"vs_usual\": 0.1510721131736126}, {\"cost\": 150.7537688442211, \"vs_group\": 15.46622607484536, \"vs_usual\": 0.1669910821684432}, {\"cost\": 201.00502512562815, \"vs_group\": 16.826273462843503, \"vs_usual\": 0.18458127443139696}, {\"cost\": 251.2562814070352, \"vs_group\": 18.280056269158784, \"vs_usual\": 0.2040167635374794}, {\"cost\": 301.5075376884422, \"vs_group\": 19.829499431939873, \"vs_usual\": 0.22548944957022993}, {\"cost\": 351.75879396984925, \"vs_group\": 21.475761646548435, \"vs_usual\": 0.24921081712452084}, {\"cost\": 402.0100502512563, \"vs_group\": 23.2191141906089, \"vs_usual\": 0.2754138516154958}, {\"cost\": 452.26130653266335, \"vs_group\": 25.058825462336767, \"vs_usual\": 0.30435512472086795}, {\"cost\": 502.5125628140704, \"vs_group\": 26.99305674489572, \"vs_usual\": 0.3363170596905687}, {\"cost\": 552.7638190954774, \"vs_group\": 29.018775192494353, \"vs_usual\": 0.37161038690550713}, {\"cost\": 603.0150753768844, \"vs_group\": 31.131690205289452, \"vs_usual\": 0.41057679938207364}, {\"cost\": 653.2663316582915, \"vs_group\": 33.32621913248167, \"vs_usual\": 0.45359181681179184}, {\"cost\": 703.5175879396985, \"vs_group\": 35.59548755054681, \"vs_usual\": 0.5010678650894006}, {\"cost\": 753.7688442211056, \"vs_group\": 37.93136817666131, \"vs_usual\": 0.5534575759908852}, {\"cost\": 804.0201005025126, \"vs_group\": 40.32456081499962, \"vs_usual\": 0.6112573085661712}, {\"cost\": 854.2713567839196, \"vs_group\": 42.764713671274556, \"vs_usual\": 0.6750108897352197}, {\"cost\": 904.5226130653267, \"vs_group\": 45.240584041632076, \"vs_usual\": 0.7453135663200189}, {\"cost\": 954.7738693467337, \"vs_group\": 47.74023396794647, \"vs_usual\": 0.8228161540790351}, {\"cost\": 1005.0251256281408, \"vs_group\": 50.25125416652994, \"vs_usual\": 0.9082293609773304}, {\"cost\": 1055.2763819095478, \"vs_group\": 52.76100760176423, \"vs_usual\": 1.0023282516394714}, {\"cost\": 1105.5276381909548, \"vs_group\": 55.256882688306156, \"vs_usual\": 1.10595680738537}, {\"cost\": 1155.7788944723618, \"vs_group\": 57.726545412987846, \"vs_usual\": 1.2200325211164624}, {\"cost\": 1206.0301507537688, \"vs_group\": 60.15817974562749, \"vs_usual\": 1.3455509482724053}, {\"cost\": 1256.281407035176, \"vs_group\": 62.54070654814375, \"vs_usual\": 1.4835901138013006}, {\"cost\": 1306.532663316583, \"vs_group\": 64.86397270255061, \"vs_usual\": 1.6353146503036255}, {\"cost\": 1356.78391959799, \"vs_group\": 67.11890420081347, \"vs_usual\": 1.801979514020751}, {\"cost\": 1407.035175879397, \"vs_group\": 69.29761926821739, \"vs_usual\": 1.9849330930653457}, {\"cost\": 1457.286432160804, \"vs_group\": 71.39350000541718, \"vs_usual\": 2.185619486339675}, {\"cost\": 1507.5376884422112, \"vs_group\": 73.40122332340192, \"vs_usual\": 2.4055796923273767}, {\"cost\": 1557.7889447236182, \"vs_group\": 75.31675393678627, \"vs_usual\": 2.64645140509918}, {\"cost\": 1608.0402010050252, \"vs_group\": 77.13730375229343, \"vs_usual\": 2.9099670716342607}, {\"cost\": 1658.2914572864322, \"vs_group\": 78.86126307709677, \"vs_usual\": 3.197949821706744}, {\"cost\": 1708.5427135678392, \"vs_group\": 80.48810966744972, \"vs_usual\": 3.512306841622241}, {\"cost\": 1758.7939698492464, \"vs_group\": 82.0183017797464, \"vs_usual\": 3.855019729359342}, {\"cost\": 1809.0452261306534, \"vs_group\": 83.45316114503976, \"vs_usual\": 4.2281313454741865}, {\"cost\": 1859.2964824120604, \"vs_group\": 84.79475125418078, \"vs_usual\": 4.633728666771914}, {\"cost\": 1909.5477386934674, \"vs_group\": 86.04575560974783, \"vs_usual\": 5.073921164535611}, {\"cost\": 1959.7989949748744, \"vs_group\": 87.20935976327208, \"vs_usual\": 5.550814273181327}, {\"cost\": 2010.0502512562816, \"vs_group\": 88.28914008984862, \"vs_usual\": 6.066477596268139}, 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       "var opt = {};\n",
       "var type = \"vega-lite\";\n",
       "var id = \"aed9d4da-6ef3-4d7c-a915-7ec7bc9646f0\";\n",
       "\n",
       "var output_area = this;\n",
       "\n",
       "require([\"nbextensions/jupyter-vega/index\"], function(vega) {\n",
       "  var target = document.createElement(\"div\");\n",
       "  target.id = id;\n",
       "  target.className = \"vega-embed\";\n",
       "\n",
       "  var style = document.createElement(\"style\");\n",
       "  style.textContent = [\n",
       "    \".vega-embed .error p {\",\n",
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       "    \"  font-size: 14px;\",\n",
       "    \"}\",\n",
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       "\n",
       "  // element is a jQuery wrapped DOM element inside the output area\n",
       "  // see http://ipython.readthedocs.io/en/stable/api/generated/\\\n",
       "  // IPython.display.html#IPython.display.Javascript.__init__\n",
       "  element[0].appendChild(target);\n",
       "  element[0].appendChild(style);\n",
       "\n",
       "  vega.render(\"#\" + id, spec, type, opt, output_area);\n",
       "}, function (err) {\n",
       "  if (err.requireType !== \"scripterror\") {\n",
       "    throw(err);\n",
       "  }\n",
       "});\n"
      ],
      "text/plain": [
       "<vega.vegalite.VegaLite at 0x7f207997de48>"
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      "jupyter-vega": "#aed9d4da-6ef3-4d7c-a915-7ec7bc9646f0"
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    {
     "data": {
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     "execution_count": 50,
     "metadata": {},
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"
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