initial_notebook.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "DATA_PATH_APPSTORE = 'data/appleAppData.csv'\n",
    "DATA_PATH_PLAYSTORE = 'data/Google-Playstore.csv'\n",
    "\n",
    "df_as = pd.read_csv(DATA_PATH_APPSTORE)\n",
    "df_ps = pd.read_csv(DATA_PATH_PLAYSTORE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Introduction\n",
    "As part of our visualization, we would like to focus on a comparison between Google Play store apps and Appstore apps, especially from the point of view of rating and app's business model (adds, in-game purchases, app cost)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Appstore table length: 1230376\n",
      "\n",
      "Appstore table columns and their types:\n",
      "App_Id                      object\n",
      "App_Name                    object\n",
      "AppStore_Url                object\n",
      "Primary_Genre               object\n",
      "Content_Rating              object\n",
      "Size_Bytes                 float64\n",
      "Required_IOS_Version        object\n",
      "Released                    object\n",
      "Updated                     object\n",
      "Version                     object\n",
      "Price                      float64\n",
      "Currency                    object\n",
      "Free                          bool\n",
      "DeveloperId                  int64\n",
      "Developer                   object\n",
      "Developer_Url               object\n",
      "Developer_Website           object\n",
      "Average_User_Rating        float64\n",
      "Reviews                      int64\n",
      "Current_Version_Score      float64\n",
      "Current_Version_Reviews      int64\n",
      "dtype: object\n",
      "\n",
      "Playstore table length: 2312944\n",
      "\n",
      "Playstore table columns and their types:\n",
      "App Name              object\n",
      "App Id                object\n",
      "Category              object\n",
      "Rating               float64\n",
      "Rating Count         float64\n",
      "Installs              object\n",
      "Minimum Installs     float64\n",
      "Maximum Installs       int64\n",
      "Free                    bool\n",
      "Price                float64\n",
      "Currency              object\n",
      "Size                  object\n",
      "Minimum Android       object\n",
      "Developer Id          object\n",
      "Developer Website     object\n",
      "Developer Email       object\n",
      "Released              object\n",
      "Last Updated          object\n",
      "Content Rating        object\n",
      "Privacy Policy        object\n",
      "Ad Supported            bool\n",
      "In App Purchases        bool\n",
      "Editors Choice          bool\n",
      "Scraped Time          object\n",
      "dtype: object\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f'Appstore table length: {len(df_as)}\\n')\n",
    "print(f'Appstore table columns and their types:\\n{df_as.dtypes}\\n')\n",
    "print(f'Playstore table length: {len(df_ps)}\\n')\n",
    "print(f'Playstore table columns and their types:\\n{df_ps.dtypes}\\n')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Reviews\n",
    "\n",
    "We expect the majority of apps in both stores to have very few reviews. It is actually the case, in both tables, most of the apps have less then 10 reviews. But what is the percentage of apps with at least MIN_REVIEWS reviews for both stores?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "min_reviews_arr = np.geomspace(2, 1000, 16).astype(int)\n",
    "fig, axs = plt.subplots(nrows=2, figsize=(12, 15))\n",
    "\n",
    "percentages_as = [100 * len(df_as[df_as[\"Reviews\"] >= min_reviews]) /\n",
    "                   len(df_as) for min_reviews in min_reviews_arr]\n",
    "percentages_ps = [100 * len(df_ps[df_ps[\"Rating Count\"] >= min_reviews]) /\n",
    "                   len(df_ps) for min_reviews in min_reviews_arr]\n",
    "\n",
    "xticks = np.arange(1, len(min_reviews_arr) + 1)\n",
    "sns.barplot(x=min_reviews_arr, y=percentages_as, palette='Blues_r', ax=axs[0])\n",
    "axs[0].set(title='Apple store percentage', xlabel='Number of reviews', ylabel='Percentage of apps')\n",
    "sns.barplot(x=min_reviews_arr, y=percentages_ps, palette='Blues_r', ax=axs[1])\n",
    "axs[1].set(title='Play store percentage', xlabel='Number of reviews', ylabel='Percentage of apps')\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We already have some interesting results about the difference in the profile of apps in both stores. Whereas only about 15 percent of apps on the App Store have at least 10 reviews, on the Play Store that number is about 44 percent.\n",
    "\n",
    "Let's focus only on apps from both stores that have at least 50 reviews. That would give us more meaningful information about the average review they get."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We are left with 90241 popular app store apps, which is about 7 percent of all recorded app store apps\n",
      "We are left with 535561 popular  play store apps, which is about 23 percent of all recorded play store apps\n"
     ]
    }
   ],
   "source": [
    "MIN_REVIEWS = 50\n",
    "\n",
    "df_as_popular = df_as[df_as['Reviews'] >= MIN_REVIEWS]\n",
    "df_ps_popular = df_ps[df_ps['Rating Count'] >= MIN_REVIEWS]\n",
    "\n",
    "print(f'We are left with {len(df_as_popular)} popular appstore apps, which is about \\\n",
    "{int(100 * len(df_as_popular) / len(df_as))} percent of all recorded appstore apps')\n",
    "print(f'We are left with {len(df_ps_popular)} popular playstore apps, which is about \\\n",
    "{int(100 * len(df_ps_popular) / len(df_ps))} percent of all recorded playstore apps')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's inspect reviews' score distribution among those popular apps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean rating among popular app store apps: 4.310006613512705\n",
      "Median rating among popular app store apps: 4.53846\n",
      "Mean rating among popular play store apps: 4.03573113053415\n",
      "Median rating among popular play store apps: 4.2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(nrows=2, figsize=(12, 15))\n",
    "nbins = 16\n",
    "\n",
    "print(f'Mean rating among popular appstore apps: {np.mean(df_as_popular[\"Average_User_Rating\"])}')\n",
    "print(f'Median rating among popular appstore apps: {np.median(df_as_popular[\"Average_User_Rating\"])}')\n",
    "print(f'Mean rating among popular playstore apps: {np.mean(df_ps_popular[\"Rating\"])}')\n",
    "print(f'Median rating among popular playstore apps: {np.median(df_ps_popular[\"Rating\"])}')\n",
    "\n",
    "sns.histplot(data=df_as_popular['Average_User_Rating'], bins=nbins, ax=axs[0], color='teal')\n",
    "axs[0].set(title='Rating distribution among popular appstore apps')\n",
    "sns.histplot(data=df_ps_popular['Rating'], bins=nbins, ax=axs[1], color='teal')\n",
    "axs[1].set(title='Rating distribution among popular playstore apps')\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Installs\n",
    "\n",
    "Another definition of popularity and the potential difference between the two stores is the percentage of apps that were downloaded at least MIN_INSTALLS times. Unfortunately, we have this data available only for Play Store apps."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Popular apps characteristics\n",
    "\n",
    "For play store apps we can inspect what typical characteristics they have (again, most of this data is not present for app store apps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(nrows=3, figsize=(8,8))\n",
    "\n",
    "sns.barplot(x=['Free', 'Non-free'], y=df_ps_popular['Free'].value_counts(normalize=True), ax=axs[0], palette='PuBuGn_r')\n",
    "axs[0].set(title='Percentage of free apps', ylabel='Percentage')\n",
    "\n",
    "sns.barplot(x=['Ads', 'No ads'], y=df_ps_popular['Ad Supported'].value_counts(normalize=True), ax=axs[1], palette='PuBuGn_r')\n",
    "axs[1].set(title='Percentage of apps with ads', ylabel='Percentage')\n",
    "\n",
    "sns.barplot(x=['In-app purchase', 'None'], y=df_ps_popular['In App Purchases'].value_counts(normalize=True), ax=axs[2], palette='PuBuGn_r')\n",
    "axs[2].set(title='Percentage of apps with in-app purchases', ylabel='Percentage')\n",
    "\n",
    "fig.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}