section1-fig1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['agg.path.chunksize'] = 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "plt.rcParams['font.size']=20\n",
    "plt.rcParams['axes.linewidth']=2\n",
    "plt.rcParams['xtick.major.size']=10\n",
    "plt.rcParams['xtick.minor.size']=5\n",
    "plt.rcParams['xtick.major.width']=2\n",
    "plt.rcParams['xtick.minor.width']=1\n",
    "plt.rcParams['xtick.direction']='in'\n",
    "plt.rcParams['ytick.major.size']=10\n",
    "plt.rcParams['ytick.minor.size']=5\n",
    "plt.rcParams['ytick.major.width']=2\n",
    "plt.rcParams['ytick.minor.width']=1\n",
    "plt.rcParams['ytick.direction']='in'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [],
   "source": [
    "kindle1 = pd.read_csv('ratings_Kindle_Store.csv')\n",
    "kindle = kindle1.rename(columns={'A2GZ9GFZV1LWB0':'User', '1603420304':'Item', '4.0':'Rating'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 5 artists>"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "#Rating Distribution Across Items.\n",
    "item_group = kindle.groupby('Item')\n",
    "mean_rating_by_item = item_group.Rating.mean()\n",
    "bins =np.linspace(1.0,6.0, 6)\n",
    "height, bin_edge = np.histogram(rating, bins=bins)\n",
    "plt.bar(bin_edge[:-1], height/np.sum(height), width = 0.5, color='darkmagenta',alpha=0.7)\n",
    "# plt.yscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Most Rated Item\n",
    "most_rated = kindle[ kindle['Item']== 'B004SUP1XO']\n",
    "user_sort = most_rated.groupby('User')\n",
    "rating = user_sort.Rating.mean()\n",
    "height, bin_edge = np.histogram(rating, bins=bins)\n",
    "plt.figure(figsize=(8,8))\n",
    "plt.bar(bin_edge[:-1], height/np.sum(height), width = 0.5, color='darkmagenta',alpha=0.7)\n",
    "plt.ylabel('Fraction of Total Ratings')\n",
    "plt.xlabel('Rating')\n",
    "plt.title('Most Rated Item')\n",
    "plt.savefig('most_rated_item.pdf', bbox_inches='tight', dpi=160)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}