01-EDA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [],
   "source": [
    "from pyspark.sql import SparkSession\n",
    "from pyspark.sql.functions import countDistinct, col, monotonically_increasing_id, count"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [],
   "source": [
    "spark = SparkSession.builder.master(\"local[4]\") \\\n",
    "                    .appName('recommendation_system') \\\n",
    "                    .config(\"spark.driver.memory\", \"15g\") \\\n",
    "                    .getOrCreate()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "df = spark.read.options(\n",
    "            header=True,\n",
    "            inferSchema=True\n",
    "        ) \\\n",
    "        .csv('data/ratings_edited.csv')"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root\n",
      " |-- userId: integer (nullable = true)\n",
      " |-- rating: double (nullable = true)\n",
      " |-- movieIdx: integer (nullable = true)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "df.printSchema()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+------+------+--------+\n",
      "|userId|rating|movieIdx|\n",
      "+------+------+--------+\n",
      "|     0|   3.5|    3903|\n",
      "|     1|   4.0|    1528|\n",
      "|     1|   3.0|    3825|\n",
      "|     2|   4.0|    2281|\n",
      "|     6|   3.0|    1528|\n",
      "|     6|   2.0|    3088|\n",
      "|     8|   2.0|    4424|\n",
      "|    10|   5.0|    1528|\n",
      "|    10|   5.0|    1539|\n",
      "|    13|   5.0|     467|\n",
      "|    13|   3.5|    1528|\n",
      "|    13|   4.5|    3088|\n",
      "|    13|   4.5|   10371|\n",
      "|    13|   4.0|   10864|\n",
      "|    15|   4.0|    1528|\n",
      "|    16|   4.0|    1528|\n",
      "|    17|   2.5|    1528|\n",
      "|    20|   3.0|    2780|\n",
      "|    21|   3.0|    1528|\n",
      "|    22|   5.0|    1528|\n",
      "+------+------+--------+\n",
      "only showing top 20 rows\n",
      "\n"
     ]
    }
   ],
   "source": [
    "df.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Stage 14:==================================>                       (3 + 2) / 5]\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of rows in the ratings dataframe is 20000263\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "print(f'The number of rows in the ratings dataframe is {df.count()}')"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Distribution of the per user's ratings count"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "number_of_ratings_per_user = df.groupBy('userId') \\\n",
    "    .agg(count(\"*\").alias(\"number_of_ratings\")) \\\n",
    "    .orderBy(col('number_of_ratings').desc()).toPandas()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The minimum number of per person rating is 20\n",
      "The mean of per person ratings is 144.4135299257002\n",
      "The maximum number of per person ratings is  9254\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(\n",
    "    f\"The minimum number of per person rating is {number_of_ratings_per_user['number_of_ratings'].min()}\\n\"\n",
    "    f\"The mean of per person ratings is {number_of_ratings_per_user['number_of_ratings'].mean()}\\n\"\n",
    "    f\"The maximum number of per person ratings is  {number_of_ratings_per_user['number_of_ratings'].max()}\\n\"\n",
    ")"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1296x864 with 3 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(3, 1, figsize=(18, 12))\n",
    "\n",
    "sns.boxplot(data=number_of_ratings_per_user, x='number_of_ratings', ax=axs[0])\n",
    "sns.boxplot(data=number_of_ratings_per_user, x='number_of_ratings', showfliers=False, ax=axs[1])\n",
    "sns.boxenplot(data=number_of_ratings_per_user, x='number_of_ratings', ax=axs[2], scale='area')\n",
    "\n",
    "fig.suptitle('Number of ratings per user', fontsize=23)\n",
    "\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1296x648 with 0 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 648x720 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 9))\n",
    "sns.displot(data=number_of_ratings_per_user, x='number_of_ratings', log_scale=True, height=10, aspect=.9)\n",
    "plt.title('Number of ratings per user')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1296x648 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 9))\n",
    "sns.kdeplot(data=number_of_ratings_per_user, x=\"number_of_ratings\", log_scale=True, fill=True)\n",
    "plt.title('Number of ratings per user')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25th quantile of per person ratings is:  35.0\n",
      "50th quantile of per person ratings is:  68.0\n",
      "75th quantile of per person ratings is:  155.0\n"
     ]
    }
   ],
   "source": [
    "arr = number_of_ratings_per_user['number_of_ratings'].values\n",
    "print(\"25th quantile of per person ratings is: \", np.quantile(arr, .25))\n",
    "print(\"50th quantile of per person ratings is: \", np.quantile(arr, .50))\n",
    "print(\"75th quantile of per person ratings is: \", np.quantile(arr, .75))"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "Per user ratings count is right skewed. It means only few users have rated more than 100 movies"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "outputs": [],
   "source": [
    "del number_of_ratings_per_user"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Distribution of the Per movie's ratings count"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 177,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "number_of_ratings_per_movie = df.groupBy('movieIdx') \\\n",
    "    .agg(count(\"*\").alias(\"number_of_ratings\")) \\\n",
    "    .orderBy(col('number_of_ratings').desc()).toPandas()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The minimum number of rating received by a movie is 1\n",
      "The mean of per movie ratings is 747.8411232425965\n",
      "The maximum number of ratings received by a single movie is  67310\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(\n",
    "    f\"The minimum number of rating received by a movie is {number_of_ratings_per_movie['number_of_ratings'].min()}\\n\"\n",
    "    f\"The mean of per movie ratings is {number_of_ratings_per_movie['number_of_ratings'].mean()}\\n\"\n",
    "    f\"The maximum number of ratings received by a single movie is  {number_of_ratings_per_movie['number_of_ratings'].max()}\\n\"\n",
    ")"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1296x864 with 3 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(3, 1, figsize=(18, 12))\n",
    "\n",
    "sns.boxplot(data=number_of_ratings_per_movie, x='number_of_ratings', ax=axs[0])\n",
    "sns.boxplot(data=number_of_ratings_per_movie, x='number_of_ratings', showfliers=False, ax=axs[1])\n",
    "sns.boxenplot(data=number_of_ratings_per_movie, x='number_of_ratings', ax=axs[2], scale='area')\n",
    "\n",
    "fig.suptitle('Number of ratings per movie', fontsize=23)\n",
    "\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1296x648 with 0 Axes>"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 648x720 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 9))\n",
    "sns.displot(data=number_of_ratings_per_movie, x='number_of_ratings', log_scale=True, height=10, aspect=.9)\n",
    "plt.title('Number of ratings per movie')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1296x648 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(18, 9))\n",
    "sns.kdeplot(data=number_of_ratings_per_movie, x=\"number_of_ratings\", log_scale=True, fill=True)\n",
    "plt.title('Number of ratings per movie')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25th quantile of per movie ratings is:  3.0\n",
      "50th quantile of per movie ratings is:  18.0\n",
      "75th quantile of per movie ratings is:  205.0\n"
     ]
    }
   ],
   "source": [
    "arr = number_of_ratings_per_movie['number_of_ratings'].values\n",
    "print(\"25th quantile of per movie ratings is: \", np.quantile(arr, .25))\n",
    "print(\"50th quantile of per movie ratings is: \", np.quantile(arr, .50))\n",
    "print(\"75th quantile of per movie ratings is: \", np.quantile(arr, .75))"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "Per movie ratings is also right skewed."
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "It is expected that not all users would rate all the movies and not all the movies would get rated by all the users. Hence in this project, we will use machine learning approach to predict what rating a particular user would give for a particular movie."
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "outputs": [],
   "source": [
    "spark.stop()"
   ],
   "metadata": {
    "collapsed": false
   }
  }
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