{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "# Grafieken\n",
    "\n",
    "Frequenties kan je in een tabel weergeven, maar je kan ze ook grafisch weergeven. We bespreken hier kort een aantal voorstellingen.\n",
    "\n",
    "We gebruiken hierbij de `matplotlib` library van Python. Deze wordt eerst kort toegelicht.\n",
    "\n",
    "## Tekenen met matplotlib\n",
    "\n",
    "Matplotlib is een heel populaire library waarmee je eenvoudig grafieken kan maken. Je kan de library importeren met:\n",
    "\n",
    "```python\n",
    "import matplotlib.pyplot as plt\n",
    "```\n",
    "\n",
    " Als je een nieuwe grafiek wil starten, gebruik je best het volgende commando:\n",
    "```python\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Als je bovenstaande commando's uitvoert, maak je een lege figuur `fig` met een assenstelsel `ax`. De meeste commando's om zaken te tekenen gebeuren vanaf het Axis-object (ax).  Het figure-object heb je voor het maken van heel wat grafieken eigenlijk niet nodig. Je kan het eventueel negeren met:\n",
    "\n",
    "```python\n",
    "_, ax = plt.subplots()\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Nu kan je figuren en grafieken tekenen. Je ziet hier een eenvoudig voorbeeld:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1fb36253dc0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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q4EHg+yFNJGHlzdV7uO8vq6ms8TNlbBp3TUinfWstFIo0pUBn1I8BPwDanuoFzrkZwAyA1NTUsw4m3vskv4B7Xl7J0B7JPPK1ofRO0UKhiBcafDcc59zVwAEzW3a615nZTDPLNLNMn88XtIDijbW7i/n2s8vo62vDrFtHqaRFPBTI25adD1zjnNsGvARMcM49F9JU4qntB8uYOnsJya0SmDstS3dZEfFYg0VtZj80sx5mlgZMAj40s5tDnkw8UVhayZRZS6j1G/OmZ9G5XaLXkUSaPV1HLceUVdYwbc5S9h2p4IXbxtDX18brSCJCI4vazD4GPg5JEvFUda2f7zy/nHV7jjDzFr3TnUg40a01BDPjvr+sZlFeAb+8bggXD+zsdSQROY6KWvjVOxt5bcVu/uPSDL4+qqfXcUTkBCrqZm7Wp1t5auFmbh6Typ0T+nkdR0ROQkXdjL2xag//PX89V5zThQeuGaz37BAJUyrqZurzTYX8xyurGNWrA49NGkZsjEpaJFypqJuhdXuKmfHsMtJSWvGnyZkkxuvNlUTCmYq6mdl5qJyps5fSNjGOudOySGqlXYci4U5F3YwcKqtiyqwlVNX4mTcti65JLb2OJCIBUFE3E+VVdbsOdxcd5ZkpmaR3PuUbIYpImFFRNwPVtX7+/fnlrN5VxBM3DiczTbfNEokkeq+PKGdm/Pj1NXy0sYAHrxvM5ed08TqSiDSSZtRR7tEFebySs4u7L07nm6N7eR1HRM6AijqKPfvFNn734SZuzOrJ9y5J9zqOiJwhFXWUemftXn7693VcMrAz/32tdh2KRDIVdRRavOUgd720kuE9k/ndjcOJi9VhFolk+gmOMhv2HeFb83Lo2b4lz0wZRcsE7ToUiXQq6iiyu+goU2ctpVVCLHOnZdG+dYLXkUQkCHR5XpQoKq/bdVhWVcOfv30ePdq38jqSiASJZtRRoKK6lulzc9hxsJw/Tc5kQJd2XkcSkSBqsKidc4nOuSXOuVXOuXXOuQeaIpgEpqbWz50vrGD5jsM8NmkYY/p09DqSiARZIKc+KoEJZlbqnIsHPnXOvW1mX4Y4mzTAzPjJ39bxfu5+HrjmHCYO6ep1JBEJgQaL2swMKK3/NL7+w0IZSgLz+Af5vLhkB/9+UV+mjE3zOo6IhEhA56idc7HOuZXAAWCBmS0+yWtmOOdynHM5BQUFQY4pJ3ph8Q4eez+fG0b24N7L+nsdR0RCKKCiNrNaMxsG9ACynHODT/KamWaWaWaZPp8vyDHleO+t28d//XUNF/X38cvrh2jXoUiUa9RVH2ZWBHwEXBGSNNKgnG2H+O6LKxjSI5n//eYI4rXrUCTqBXLVh885l1z/uCVwKbAhxLnkJPL3lzB9bg7dk1sye+ooWiXoMniR5iCQn/SuwFznXCx1xf6Kmb0Z2lhyor3FR5kyawkJcTHMnZZFB+06FGk2ArnqYzUwvAmyyCkUH61m6qylHKmo4eXbx9Czg3YdijQnOsEZ5iqqa7ltXg5bCkuZectIzumW5HUkEWliOskZxmr9xj0vr2TJ1kM8ceNwxvZL8TqSiHhAM+owZWY88MY63l67j59cPYhrhnbzOpKIeERFHaae/Hgz877Yzu3ZfZg+rrfXcUTEQyrqMPRKzk4eeXcj1w3vzn1XDPA6joh4TEUdZj7csJ8fvraGC9JT+NVXzyUmRrsORZo7FXUYWbHjMHc8v5xBXdvxh5tHkhCnwyMiKuqwsbmglGlzltK5XSKzpo6iTQtdkCMidVTUYWD/kQomP7OE2BjHvGlZ+Nq28DqSiIQRTds8dqSimqmzl3K4vIqXZ5xHr46tvY4kImFGM2oPVdbUcvu8ZeTvL+Gpm0cypId2HYrIv9KM2iN+v/H9V1bxxZaD/PYbQ8nO0Ht4i8jJaUbtATPj52+uZ/7qvfxo4gCuG97D60giEsZU1B7446ItzPl8G9PH9ea2C/p4HUdEwpyKuom9umwXD7+9ga8M7caPJw7UbbREpEEq6ib08cYD3Pfqasb27chvvqZdhyISGBV1E1m1s4g7nl9Oeue2/PGWkbSIi/U6kohECBV1E9hWWMa0OUvp0DqBubeOom1ivNeRRCSCqKhDrKCkksmzlmDAvGlZdGqX6HUkEYkwgdyFvKdz7iPn3Hrn3Drn3N1NESwalFbWcOucJRSUVPLMlEz6+Np4HUlEIlAgG15qgP8ws+XOubbAMufcAjNbH+JsEa2qxs93nltG7t4Snp6cyfDU9l5HEpEI1eCM2sz2mtny+sclQC7QPdTBIpnfb/zgL6v4JL+Qh68fwkUDOnkdSUQiWKPOUTvn0oDhwOKTPDfDOZfjnMspKCgIUrzI9PA7G/jryj385+X9+VpmT6/jiEiEC7ionXNtgFeB75nZkROfN7OZZpZpZpk+X/N934qnP9nCzEVbmHJeL+64sK/XcUQkCgRU1M65eOpK+nkzey20kSLX31bu5hfzc5k4pAs//co52nUoIkERyFUfDngGyDWzR0MfKTJ9ml/IvX9exejeHXj068OI1a5DEQmSQGbU5wO3ABOccyvrPyaGOFdEWbu7mNufzaGvrw0zJ2eSGK9dhyISPA1enmdmnwKaHp7CjoPlTJ29lORWCcy5NYukltp1KCLBpRsHnIXC0komz1pMjd/PS9NG0yVJuw5FJPi0hfwMlVXWMH3OUvYWV/DMlEz6dWrrdSQRiVIq6jNQXevnjueXs2Z3Mb+/aQQje3XwOpKIRDGd+mgkM+O+V1ezMK+AX14/hEsHdfY6kohEOc2oG+nX727kteW7ueeSDG7MSvU6jog0AyrqRpjz2Vb+8PFmbhqdyl0X9/M6jog0EyrqAM1fvZcH3lzPZYM689/XDtauQxFpMirqAHyx+SD3vLySkanteeLG4dp1KCJNSkXdgNy9R5gxL4deHVvx9BTtOhSRpqeiPo1dh8uZMmsJrVvEMXdaFsmtEryOJCLNkIr6FA6XVTF51hIqqmuZNz2LbsktvY4kIs2UrqM+iaNVtUybu5Rdh4/y3PTRZHTWrkMR8Y5m1CeoqfVz5wvLWbWziCcmDSert3Ydioi3NKM+jpnx49fX8sGGA/zi3wZzxeAuXkcSEdGM+ni/XZDHyzk7uWtCP24e08vrOCIigIr6mGe/3M4TH27iG5k9uefSDK/jiIgco6IG3lm7l5/+bS0XD+jEg9dp16GIhJdmX9RLth7irpdWMqxnMr+/aQRxsc3+t0REwkyzbqWN+0r41tyl9GjfkmemjKJlgnYdikj4abZFvafoKFNmLSExPpa5t2bRobV2HYpIeGqwqJ1zs5xzB5xza5siUFMoKq/bdVhWWcOcW7Po2aGV15FERE4pkBn1HOCKEOdoMhXVtXxrbg47Dpbzx8kjGdStndeRREROq8GiNrNFwKEmyBJytX7jrhdXsGzHYR79xlDG9k3xOpKISIOCdo7aOTfDOZfjnMspKCgI1rcNGjPjJ39by3vr9/Ozqwdx9bndvI4kIhKQoBW1mc00s0wzy/T5fMH6tkHzuw838cLiHXznwr5MPb+313FERALWLK76eGnJDh5dkMf1I7rzg8v7ex1HRKRRor6oF6zfz49eX8P4DB+/+uq52nUoIhEnkMvzXgS+APo753Y556aHPlZwLNt+iDtfWM6Q7kk8+c0RxGvXoYhEoAbf5tTMbmyKIMG26UAJ0+fm0DUpkVlTR9G6hd7RVUQiU1ROMfcVVzBl1lLiYmKYN200Hdu08DqSiMgZi7qiLj5azdTZSygqr2LOraNI7ahdhyIS2aLqfEBFdS0z5uWwuaCUWVNHMbh7kteRRETOWtQUda3f+P4rK1m89RCPTxrGBenhdy23iMiZiIpTH2bGA2+s4601+/ivqwZy7bDuXkcSEQmaqCjqJz/ezLwvtnPbBb351gV9vI4jIhJUEV/Uf87ZySPvbuTaYd344ZUDvY4jIhJ0EV3UH204wP2vrWFcvxQeuWEoMTHadSgi0Sdii3rFjsPc8fxyBnZty1O3jCQhLmKHIiJyWhHZblsKSpk2Zym+ti2YPTWLNtp1KCJRLOKK+kBJBZNnLSHGOeZOy8LXVrsORSS6RdRUtKSimqmzlnKorIoXbxtD75TWXkcSEQm5iJlRV9bU8u3nlpG3v4QnvzmCoT2TvY4kItIkImJG7fcb9/55NZ9tOsijXx/Khf07eR1JRKTJhP2M2sz4xfxc3li1h/uuGMD1I3p4HUlEpEmFfVH/6ZMtzPpsK1PHpvHt8dp1KCLNT1gX9esrdvHQWxu46tyu/PTqQbqNlog0S2Fb1IvyCvjPP69mTJ8OPPp17ToUkeYrLIt69a4ivv3cMvp1asPMyZm0iIv1OpKIiGcCKmrn3BXOuY3OuU3OuftDGWhbYRm3zl5K+1YJzJ2WRbvE+FD+ciIiYS+Qu5DHAv8LXAkMAm50zg0KRZiCkkqmzF6C34x507Po3C4xFL+MiEhECWRGnQVsMrMtZlYFvARcG+wgZZU1TJuzlP1HKnhm6ij6+toE+5cQEYlIgRR1d2DncZ/vqv9//49zboZzLsc5l1NQUNDoIHGxjr6+1vzvTSMYkdq+0V8vIhKtgrYz0cxmAjMBMjMzrbFf3yIulscmDQ9WHBGRqBHIjHo30PO4z3vU/z8REWkCgRT1UiDdOdfbOZcATAL+HtpYIiLyDw2e+jCzGufcncC7QCwwy8zWhTyZiIgAAZ6jNrO3gLdCnEVERE4iLHcmiojIP6moRUTCnIpaRCTMqahFRMKcM2v03pSGv6lzBcD2M/zyFKAwiHG8FC1jiZZxgMYSjqJlHHB2Y+llZr6TPRGSoj4bzrkcM8v0OkcwRMtYomUcoLGEo2gZB4RuLDr1ISIS5lTUIiJhLhyLeqbXAYIoWsYSLeMAjSUcRcs4IERjCbtz1CIi8v+F44xaRESOo6IWEQlznhS1c26Wc+6Ac27tKZ53zrkn6m+mu9o5N6KpMwYqgLFc6Jwrds6trP/4aVNnDIRzrqdz7iPn3Hrn3Drn3N0neU1EHJcAxxIpxyXRObfEObeqfiwPnOQ1LZxzL9cfl8XOuTQPop5WgOOY6pwrOO6YfMuLrIFyzsU651Y45948yXPBPSZm1uQfQDYwAlh7iucnAm8DDhgDLPYiZ5DGciHwptc5AxhHV2BE/eO2QB4wKBKPS4BjiZTj4oA29Y/jgcXAmBNecwfwVP3jScDLXuc+w3FMBX7vddZGjOn7wAsn+3MU7GPiyYzazBYBh07zkmuBeVbnSyDZOde1adI1TgBjiQhmttfMltc/LgFy+dd7Y0bEcQlwLBGh/ve6tP7T+PqPE68AuBaYW//4L8DFzjnXRBEDEuA4IoZzrgdwFfD0KV4S1GMSrueoA7qhbgQ5r/6ffG87587xOkxD6v+ZNpy6Wc/xIu64nGYsECHHpf6f2CuBA8ACMzvlcTGzGqAY6NikIQMQwDgAvlp/Wu0vzrmeJ3k+XDwG/ADwn+L5oB6TcC3qaLKcuj38Q4HfAX/1Ns7pOefaAK8C3zOzI17nORsNjCVijouZ1ZrZMOruV5rlnBvscaQzEsA43gDSzOxcYAH/nJGGFefc1cABM1vWVL9muBZ11NxQ18yO/OOffFZ3p5x451yKx7FOyjkXT12xPW9mr53kJRFzXBoaSyQdl38wsyLgI+CKE546dlycc3FAEnCwScM1wqnGYWYHzayy/tOngZFNHC1Q5wPXOOe2AS8BE5xzz53wmqAek3At6r8Dk+uvMhgDFJvZXq9DnQnnXJd/nJtyzmVR93sedj9E9RmfAXLN7NFTvCwijksgY4mg4+JzziXXP24JXApsOOFlfwem1D++AfjQ6lexwkUg4zhhveMa6tYWwo6Z/dDMephZGnULhR+a2c0nvCyoxySgeyYGm3PuRepW3VOcc7uAn1G3uICZPUXd/RknApuAcuBWL3IGIoCx3AB8xzlXAxwFJoXbD1G984FbgDX15xEBfgSkQsQdl0DGEinHpSsw1zkXS91fJq+Y2ZvOuZ8DOWb2d+r+UnrWObeJuoXtSd7FPaVAxnGXc+4aoIa6cUz1LO0ZCOUx0RZyEZEwF66nPkREpJ6KWkQkzKmoRUTCnIpaRCTMqahFRMKcilpEJMypqEVEwtz/AQWLasEBZSsIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot([1, 2, 3, 4], [0, 4, 6, 7])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "De grafiek zal automatisch zichtbaar zijn na het uitvoeren van bovenstaande commando. Lukt het toch niet dan kan je uitdrukkelijk opgeven van de figuur te tonen met:\n",
    "\n",
    "```python\n",
    "fig.show()\n",
    "```\n",
    "\n",
    "Boven de grafiek zie je mogelijk nog iets vreemd staan [<matplotlib.lines.Line2D at 0x1fb36253dc0>]. Dit is in feite niets meer dan de return-waarde van het laatste commando `ax.plot([1, 2, 3, 4], [0, 4, 6, 7])`.\n",
    "\n",
    "Je kan deze return-waarde 'inslikken' door het op te vangen in een anonieme variabele (`_`):\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "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": [
    "fig, ax = plt.subplots()\n",
    "_ = ax.plot([1, 2, 3, 4], [0, 4, 6, 7])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Als je een grafiek wil exporteren, kan je het volgende commando gebruiken in plaats van `fig.show()`:\n",
    "\n",
    "```python\n",
    "fig.savefig(bestandsnaam)\n",
    "```\n",
    "\n",
    "Afhankelijk van de bestandsnaam, zal Python het beeld in een bepaald formaat wegschrijven.\n",
    "\n",
    "Grafieken hebben dikwijls een assenstelsel. Het is belangrijk om je assen ook steeds te benoemen. Dit kan je als volgt doen (doe dit je `show()` oproept):\n",
    "\n",
    "```python\n",
    "ax.set_xlabel('tijd (s)')\n",
    "ax.set_ylabel('tempertuur (K)')\n",
    "```\n",
    "Je ziet dat hier ook de eenheden vermeld zijn. Zo legt de grafiek zichzelf uit. Doe dit iedere keer voor elke grafiek! Bij een presentatie kunnen klanten heel erg moeilijk doen als deze informatie ontbreekt!\n",
    "\n",
    "Indien je ook een titel wil geven aan de grafiek, dan kan dat met:\n",
    "\n",
    "```python\n",
    "ax.set_title('Temperatuurverloop')\n",
    "```\n",
    "\n",
    "Rasterlijnen en legende kunnen de leesbaarheid van een grafiek drastisch verhogen. Het toevoegen is eenvoudig.\n",
    "\n",
    "```python\n",
    "ax.legend()\n",
    "ax.grid()\n",
    "```\n",
    "\n",
    "We kunnen de grootte van de figuur ook nog aanpassen, en label voorzien voor de gegevens. Alles samen geeft dit het volgende resultaat:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 5))\n",
    "seconden = [1, 2, 3, 4]\n",
    "kelvin = [0, 4, 6, 7]\n",
    "\n",
    "ax.plot([1, 2, 3, 4], [0, 4, 6, 7], label='temperatuur')\n",
    "ax.set_xlabel('tijd (s)')\n",
    "ax.set_ylabel('tempertuur (K)')\n",
    "ax.set_title('Temperatuuurverloop')\n",
    "ax.grid(linestyle='--')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## Taartdiagrammen\n",
    "\n",
    "Een taartdiagram is een handig instrument als je de frequenties wil tonen van een beperkt aantal mogelijke waarden, waarbij de onderlinge verhouding niet belangrijk is of wanneer je die obscuur wil houden.\n",
    "\n",
    "Je kan een taartdiagram gemakkelijk maken in Python. Als voorbeeld zullen we de kolom \"RAM\" gebruiken (we laten de NaN-waarden hier gewoon weg). Dit geeft volgend resultaat:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "laptops = pd.read_csv('datasets/laptops.csv', sep=';', decimal=',')\n",
    "\n",
    "x = laptops.RAM.value_counts().sort_index()\n",
    "l = ['1GB', '2GB', '4GB', '8GB', '16GB']\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.pie(x, labels=l)\n",
    "_ = ax.set_title('RAM in laptops')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "Het is moeilijk te zien of 2 en 16 GB even veel voorkomen of niet. Dat is typisch voor een taartdiagram: de onderlinge verhoudingen zijn niet zo duidelijk. Wanneer het aantal mogelijkheden te groot wordt, is een taartdiagram in ieder geval geen goede keuze meer want dan wordt deze grafiek te onduidelijk.\n",
    "\n",
    "Staafdiagrammen en histogrammen\n",
    "-------------------------------\n",
    "\n",
    "Staafdiagrammen laten wel de onderlinge verhoudingen zien. Je ziet hier een voorbeeld (terug voor het RAM-geheugen, zonder de `NaN`-waarden). Dit geeft een overzicht van de absolute frequenties. Het resultaat zie je hier:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "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": [
    "x = laptops.RAM.value_counts().sort_index()\n",
    "l = ['1GB', '2GB', '4GB', '8GB', '16GB']\n",
    "\n",
    "_, ax = plt.subplots()\n",
    "ax.bar(l, x)\n",
    "ax.set_title('RAM in laptops')\n",
    "ax.set_xlabel('RAMgeheugen (GB)')\n",
    "_ = ax.set_ylabel('Aantal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Wanneer er klassen gemaakt zijn, kan dezelfde grafiek gebruikt worden. Maar als de variabele (quasi) continu is, dan gebruiken we een variant: het histogram. Bij een histogram worden de staven aan elkaar geplakt. Dit maakt duidelijk dat alle waarden mogelijk zijn en dat de klassen dus niet ver van elkaar staan. Je kan een histogram in Python als volgt maken:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "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": [
    "ax = laptops.diskspace.plot.hist()\n",
    "ax.set_title('Schijfruimte in laptops')\n",
    "ax.set_xlabel('Schijfruimte (GB)')\n",
    "_ = ax.set_ylabel('Aantal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Het verschil met de vorige grafieken is dat deze grafiek gebouwd werd door Pandas zelf. De return-waarde is een Axis-object (`ax`) waarmee je de grafiek dan verder kan gaan configureren. Pandas heeft nog veel meer ingebouwde grafieken. Zoek zelf eens op wat er nog mogelijk is.\n",
    "\n",
    "Merk verder ook op dat je geen klassen meegeeft aan deze functie (je hoeft `value_counts()` ook niet op te roepen). De functie zal namelijk zelf bepalen hoeveel klassen er nodig zijn, de waarden in klassen opdelen, de frequenties bepalen en dan de grafiek tonen.\n",
    "\n",
    "Zoals je ziet, zijn er 10 klassen gemaakt. Je kan ook zelf klassen bepalen. Zo zien we in dit voorbeeld dat er 4 grootordes van harde schijven zijn: 120 GB, 250 GB, 500 GB en 1000 GB. We kunnen dus klassen maken voor elk van deze types. We nemen als cutpoints de waarden tussen de mogelijke groottes. Het resultaat is als volgt:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "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": [
    "cutpoints = [0, 185, 375, 750, 1100]\n",
    "ax = laptops.diskspace.plot.hist(bins=cutpoints)\n",
    "ax.set_title('Schijfruimte in laptops')\n",
    "ax.set_xlabel('Schijfruimte (GB)')\n",
    "_ = ax.set_ylabel('Aantal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Merk op dat de klassenbreedte hier niet constant is. Dat is hier nuttig omdat de groottes van de harde schijven niet mooi lineair verdeeld zijn. In de meeste gevallen zullen de klassen echter even groot zijn.\n",
    "\n",
    "Je kan argumenteren dat de laatste grafiek niet helemaal correct is: we hebben nl. juist opgemerkt dat er 4 types harde schijven zijn. We verwachten dus nooit een vrije ruimte van 350 GB. De variabele is dan eigenlijk niet echt continu. Als we dit duidelijk willen maken, moeten we toch een barplot maken. Dit kan als volgt:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "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": [
    "cutpoints = [0, 185, 375, 750, 1100]\n",
    "klassen = pd.cut(laptops.diskspace, bins=cutpoints)\n",
    "l = ['120', '250', '500', '1000']\n",
    "x = klassen.value_counts().sort_index()\n",
    "\n",
    "_, ax = plt.subplots()\n",
    "ax.bar(l, x)\n",
    "ax.set_title('Hardeschijven in laptops')\n",
    "ax.set_xlabel('Schijfcapaciteit (GB)')\n",
    "_ = ax.set_ylabel('Aantal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## Andere voorstellingen\n",
    "\n",
    "De vorige grafieken zijn redelijk klassiek in de statistiek. We kunnen frequenties echter ook met andere grafieken zichtbaar maken.\n",
    "```{admonition} Goed om weten\n",
    "Volgende grafieken zijn **louter informatief** en je hoeft ze zelf niet te kunnen maken. Je kan er natuurlijk wel veel uitleren.\n",
    "```\n",
    "### Spider plots\n",
    "\n",
    "In de psychologie zijn spider plots (ook wel spindiagram, radardiagram, spider chart of radar chart genoemd) heel populair. Ze zijn handig als je waarden hebt die steeds iets anders meten over hetzelfde onderwerp. Zo kan je bijvoorbeeld nagaan welke eigenschappen er veel voorkomen bij personen die data-analyst zijn.\n",
    "\n",
    "Er zijn verschillende manieren om een spiderplot te maken in Python. We illustreren hier slechts 1 manier. We laten we de frequenties zien van het merk van de laptops.\n",
    "\n",
    "Het resultaat is als volgt:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "brand_percentages = laptops.brand.value_counts() / laptops.brand.value_counts().max()\n",
    "RAM_percentages = laptops.groupby(by='brand')['RAM'].mean() / laptops.groupby(by='brand')['RAM'].mean().max()\n",
    "categories = brand_percentages.index\n",
    "brand_values = brand_percentages.to_list()\n",
    "diskspace_values = RAM_percentages.to_list()\n",
    "N = len(categories)\n",
    "M = max(brand_values)\n",
    "angles = [n / float(N) * 2 * math.pi for n in range(N)]\n",
    "\n",
    "_, ax = plt.subplots(figsize=(7, 7), subplot_kw={'projection': 'polar'})\n",
    "ax.set_rticks(angles)\n",
    "ax.set_rlabel_position(0)\n",
    "ax.set_xticks(angles)\n",
    "ax.set_xticklabels(categories, size=8)\n",
    "ax.set_yticks([n / 4 * M for n in range(4)])\n",
    "plt.ylim(0, M)\n",
    "ax.plot(angles + angles[:1], diskspace_values + diskspace_values[:1], linewidth=1.5, linestyle='solid')\n",
    "ax.fill(angles, diskspace_values, color='blue', alpha=0.1, label='RAM')\n",
    "ax.plot(angles + angles[:1], brand_values + brand_values[:1], color='black', linewidth=1.5, linestyle='solid')\n",
    "ax.fill(angles, brand_values, color='red', alpha=0.5, label='brand')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "Zoals je merkt, is het maken van een dergelijke plot al wel een pak **moeilijker**.  Gelukkig hoef je dit niet zelf te kunnen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Wordclouds\n",
    "\n",
    "Wordclouds zijn ook heel populair de afgelopen tijd. Ze laten zien welke woorden er veel voorkomen in een tekst. Hoe meer het woord voorkomt, hoe groter het woord getekend wordt. In Python kan je deze heel gemakkelijk maken. Hier zie je een mogelijk resultaat wanneer je de tekst van \"Imagine\" van John Lennon als input neemt."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "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": [
    "import wordcloud as wc\n",
    "\n",
    "lyrics = open('datasets/imagine.txt', 'r').read()\n",
    "\n",
    "cloud = wc.WordCloud(max_font_size=70, max_words=20, background_color='white').generate(lyrics)\n",
    "_, ax = plt.subplots()\n",
    "ax.imshow(cloud, interpolation='bilinear')\n",
    "_ = ax.axis('off')\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}