Andrea_var_corrette.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Importing and cleaning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import graphviz \n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as sc\n",
    "import statistics\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn import tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('AppleStore.csv', sep=',', header=0, index_col=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cleaning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dropping the non relevant columns for our analysis. We don't care about the ID, the name of the app, its size, currency (they're all USD), current version, and whatever vpp_lic is (they're all == 1 anyway)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.drop(['id','track_name', 'size_bytes', 'currency', 'ver', 'vpp_lic'], axis = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dropping the categorical variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_nocat = df.drop(['cont_rating', 'prime_genre'], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And storing them for later use."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_cont = df[['cont_rating']]\n",
    "df_gen = df[['prime_genre']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's take a look at the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x103a8d4a8>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 72 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.pairplot(df_nocat, diag_kind='kde')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not really representative or useful at the moment..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, we can see from some univariate distributions that there are few outliers. We can remove them in order to prevent our following analyses from being somewhat skewed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a19478438>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/AaJfCK3jYS9HAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(df_nocat['price'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Removing outliers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's normalize data and transform it in absolute value so that we can identify the outliers (value > 3), that is to say they're above the 3rd standard deviation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "code_folding": []
   },
   "outputs": [],
   "source": [
    "z_score = np.abs(sc.zscore(df_nocat))\n",
    "# normalizes data, returns absolute value\n",
    "\n",
    "df_nocat = df_nocat.reset_index(drop=True)\n",
    "# resets the index of df_nocat, start at 0\n",
    "\n",
    "rem_row = np.unique(np.where(z_score > 3)[0])\n",
    "# returns indexes of the rows that have at least\n",
    "# one z_score > 3\n",
    "\n",
    "df_nocat_noout = df_nocat.drop(rem_row, axis=0)\n",
    "# removes rows that contain outliers,\n",
    "# saves in new dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "#sns.pairplot(df_nocat_noout, diag_kind='kde')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A little better. Now at least univariate distribution of price is something more than a vertical line above the 0 value. Sure, the majority of apps are free, but the previous KDE was unreadable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a19f4c4a8>"
      ]
     },
     "execution_count": 10,
     "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": [
    "sns.boxplot(df_nocat_noout['price'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Starter analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlation heatmap"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's build a correlation heatmap to see if there is any relevant correlation between the variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "corr = df_nocat_noout.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "code_folding": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(15,8))\n",
    "\n",
    "hm = sns.heatmap(corr,\n",
    "                 ax=ax,\n",
    "                 cmap='coolwarm',\n",
    "                 vmin=-1.0,\n",
    "                 vmax=1.0,\n",
    "                 annot=True,\n",
    "                 fmt='.2f',\n",
    "                 annot_kws={'size':15},\n",
    "                 linewidths=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There's very low correlations between most attributes, looks like we need go further and use all the variables for our analysis.\n",
    "\n",
    "Next we'll try to put user rating as \"class\", drop it from the DF, put back categorical variables, run a decision tree, see results, ????, profit."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision tree"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by adding back the 2 categorical variables that we removed before, of course removing the rows that correspond to outlier data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_cont = df_cont.reset_index(drop=True)\n",
    "df_gen = df_gen.reset_index(drop=True)\n",
    "# resets the index of content rating and genre attributes, start at 0\n",
    "\n",
    "df_cont = df_cont.drop(rem_row, axis=0)\n",
    "df_gen = df_gen.drop(rem_row, axis=0)\n",
    "\n",
    "# removes rows that contain outliers,\n",
    "# saves in same dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_tree = pd.concat([df_nocat_noout, df_cont, df_gen], axis = 1)\n",
    "#puts back the 2 attribute columns in the dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_tree['prime_genre'] = df_tree['prime_genre'].str.replace('&','and')\n",
    "#replacs \"&\" with \"and\" because otherwise the decision tree graph goes bananas and produces\n",
    "#2 billion errors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We wanna to find out if _user rating_ is somewhat functionally dependent on a combination of other attributes, and to what degree. Let's group ratings arbitrarily, with this criteria:\n",
    "- Last version rating > 3.5 : __Good__\n",
    "- Last version rating ≥ 3.0 : __Okish__\n",
    "- Last version rating < 3.0 : __Bad__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "conditions = [\n",
    "    (df_nocat_noout['user_rating_ver'] > 3.5),\n",
    "    ((df_nocat_noout['user_rating_ver'] > 2.5) & (df_nocat_noout['user_rating_ver'] <= 3.5)),\n",
    "    (df_nocat_noout['user_rating_ver'] < 3.0)]\n",
    "choices = ['Good', 'Okish', 'Bad']\n",
    "\n",
    "df_tree['Grade'] = np.select(conditions, choices, default=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we drop the user rating attributes from the DF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_tree = df_tree.drop(['user_rating_ver','user_rating'], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's also drop rating count because otherwise the tree makes no sense."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_tree = df_tree.drop(['rating_count_tot','rating_count_ver'], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assign the Grade column to a new DF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_grade = df_tree[['Grade']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And drop it again from the original DF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_tree = df_tree.drop('Grade', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There is an issue now. Sklearn decision tree does not handle categorical variables (such as _genre_). Only numerical ones. The second problem is that if we convert our categorical variables to numbers, the algorithm will think that they're ordinal, and therefore the higher the number the better, which in this case is obviously not only wrong, but also nonsensical."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need to transform the categorical variables into __dummy__ ones."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### \"Dummyfication\" of categorical variables (one hot encoding)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "one_hot_data = pd.get_dummies(df_tree, columns=['cont_rating','prime_genre'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>price</th>\n",
       "      <th>sup_devices.num</th>\n",
       "      <th>ipadSc_urls.num</th>\n",
       "      <th>lang.num</th>\n",
       "      <th>cont_rating_12+</th>\n",
       "      <th>cont_rating_17+</th>\n",
       "      <th>cont_rating_4+</th>\n",
       "      <th>cont_rating_9+</th>\n",
       "      <th>prime_genre_Book</th>\n",
       "      <th>prime_genre_Business</th>\n",
       "      <th>...</th>\n",
       "      <th>prime_genre_News</th>\n",
       "      <th>prime_genre_Photo and Video</th>\n",
       "      <th>prime_genre_Productivity</th>\n",
       "      <th>prime_genre_Reference</th>\n",
       "      <th>prime_genre_Shopping</th>\n",
       "      <th>prime_genre_Social Networking</th>\n",
       "      <th>prime_genre_Sports</th>\n",
       "      <th>prime_genre_Travel</th>\n",
       "      <th>prime_genre_Utilities</th>\n",
       "      <th>prime_genre_Weather</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3.99</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.00</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>23</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.00</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.99</td>\n",
       "      <td>47</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.00</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 31 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   price  sup_devices.num  ipadSc_urls.num  lang.num  cont_rating_12+  \\\n",
       "0   3.99               38                5        10                0   \n",
       "1   0.00               37                5        23                0   \n",
       "2   0.00               37                5         3                0   \n",
       "5   0.99               47                5         1                0   \n",
       "6   0.00               37                0        19                0   \n",
       "\n",
       "   cont_rating_17+  cont_rating_4+  cont_rating_9+  prime_genre_Book  \\\n",
       "0                0               1               0                 0   \n",
       "1                0               1               0                 0   \n",
       "2                0               1               0                 0   \n",
       "5                0               1               0                 0   \n",
       "6                0               1               0                 0   \n",
       "\n",
       "   prime_genre_Business         ...           prime_genre_News  \\\n",
       "0                     0         ...                          0   \n",
       "1                     0         ...                          0   \n",
       "2                     0         ...                          0   \n",
       "5                     0         ...                          0   \n",
       "6                     0         ...                          0   \n",
       "\n",
       "   prime_genre_Photo and Video  prime_genre_Productivity  \\\n",
       "0                            0                         0   \n",
       "1                            0                         1   \n",
       "2                            0                         0   \n",
       "5                            0                         0   \n",
       "6                            0                         0   \n",
       "\n",
       "   prime_genre_Reference  prime_genre_Shopping  prime_genre_Social Networking  \\\n",
       "0                      0                     0                              0   \n",
       "1                      0                     0                              0   \n",
       "2                      0                     0                              0   \n",
       "5                      0                     0                              0   \n",
       "6                      0                     0                              0   \n",
       "\n",
       "   prime_genre_Sports  prime_genre_Travel  prime_genre_Utilities  \\\n",
       "0                   0                   0                      0   \n",
       "1                   0                   0                      0   \n",
       "2                   0                   0                      0   \n",
       "5                   0                   0                      0   \n",
       "6                   0                   0                      0   \n",
       "\n",
       "   prime_genre_Weather  \n",
       "0                    0  \n",
       "1                    0  \n",
       "2                    1  \n",
       "5                    0  \n",
       "6                    0  \n",
       "\n",
       "[5 rows x 31 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "one_hot_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are 4854 samples in the training dataset\n",
      "There are 1619 samples in the testing dataset\n",
      "Each sample has 31 features\n"
     ]
    }
   ],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(one_hot_data, df_grade)\n",
    "print(\"There are {} samples in the training dataset\".format(X_train.shape[0]))\n",
    "print(\"There are {} samples in the testing dataset\".format(X_test.shape[0]))\n",
    "print(\"Each sample has {} features\".format(X_train.shape[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DecisionTreeClassifier(class_weight=None, criterion='entropy', max_depth=None,\n",
       "            max_features=None, max_leaf_nodes=None,\n",
       "            min_impurity_decrease=0.0, min_impurity_split=None,\n",
       "            min_samples_leaf=1, min_samples_split=2,\n",
       "            min_weight_fraction_leaf=0.0, presort=False, random_state=666,\n",
       "            splitter='best')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rnd_state = 666\n",
    "clf = tree.DecisionTreeClassifier(criterion='entropy', random_state = rnd_state)\n",
    "clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_test = np.array(y_test)\n",
    "y_train = np.array(y_train)\n",
    "#transforms the dataframes into arrays so we can use them for comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy on training set is 49.1%\n"
     ]
    }
   ],
   "source": [
    "y_predicted_train = clf.predict(X_train)\n",
    "accuracy_train = np.mean(y_train == y_predicted_train)*100\n",
    "print(\"The accuracy on training set is {0:.1f}%\".format(accuracy_train))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The accuracy on training set is 48.1%\n"
     ]
    }
   ],
   "source": [
    "y_predicted_test = clf.predict(X_test)\n",
    "accuracy_test = np.mean(y_test == y_predicted_test)*100\n",
    "print(\"The accuracy on training set is {0:.1f}%\".format(accuracy_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The accuracy on this method is less than a coinflip, therefore useless. Also, the resulting decision tree is a nightmare. Need to do some further analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "#dot_data = tree.export_graphviz(clf, out_file=None,\n",
    "#                                feature_names=list(one_hot_data.keys()),\n",
    "#                                class_names=np.unique(df_grade),\n",
    "#                                filled=True, rounded=True,\n",
    "#                                special_characters=True,\n",
    "#                                max_depth= 3)  \n",
    "#graph = graphviz.Source(dot_data)  \n",
    "#graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "#####################################################################################################################\n",
    "#ANDREA with one_hot_data (not scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": true
   },
   "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": [
    "#Apply Elbow method to check the best number of cluster\n",
    "from sklearn.cluster import KMeans\n",
    "distortions=[]\n",
    "for i in range(1, 11):\n",
    "        km = KMeans(n_clusters=i, \n",
    "                init='k-means++', \n",
    "                n_init=10, \n",
    "                max_iter=300, \n",
    "                random_state=42)\n",
    "        km.fit(one_hot_data)\n",
    "        distortions.append(km.inertia_)\n",
    "plt.plot(range(1,11), distortions , marker='o')\n",
    "plt.xlabel('Number of clusters')\n",
    "plt.ylabel(\"Distortion\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "#The best solution with Kmeans is 3 clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Let's try to check the Silhouette plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import silhouette_samples\n",
    "from matplotlib import cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "avg=[]\n",
    "for j in range (2,11):\n",
    "    km = KMeans(n_clusters=j, \n",
    "                init='k-means++', \n",
    "                n_init=10, \n",
    "                max_iter=300,\n",
    "                tol=1e-04,\n",
    "                random_state=42)\n",
    "    y_km = km.fit_predict(one_hot_data)\n",
    "    cluster_labels = np.unique(y_km)\n",
    "    n_clusters = cluster_labels.shape[0] \n",
    "    silhouette_vals = silhouette_samples(one_hot_data, y_km, metric='euclidean') \n",
    "    y_ax_lower, y_ax_upper = 0, 0\n",
    "    yticks = []\n",
    "    for i, c in enumerate(cluster_labels): # generate pairs index, cluster_label\n",
    "        c_silhouette_vals = silhouette_vals[y_km==c] # extracts records with the current cluster label\n",
    "        c_silhouette_vals.sort() # sort the silhouette vals for the current class\n",
    "        y_ax_upper += len(c_silhouette_vals)\n",
    "        silhouette_avg = np.mean(silhouette_vals)\n",
    "        avg.append(silhouette_avg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "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": [
    "#I did not find a different way... probably for loops above have to be reduced\n",
    "def remove_duplicates(values):\n",
    "    output = []\n",
    "    seen = set()\n",
    "    for value in values:\n",
    "        # If value has not been encountered yet,\n",
    "        # ... add it to both list and set.\n",
    "        if value not in seen:\n",
    "            output.append(value)\n",
    "            seen.add(value)\n",
    "    return output\n",
    "aver=remove_duplicates(avg)\n",
    "plt.plot(range(2,11),aver)\n",
    "plt.xlabel('Clusters')\n",
    "plt.ylabel(\"Silhouette\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Also the analysis of the Silhouette returns the best value on 2 clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Let's do the analysis with 2 clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>price</th>\n",
       "      <th>sup_devices.num</th>\n",
       "      <th>ipadSc_urls.num</th>\n",
       "      <th>lang.num</th>\n",
       "      <th>cont_rating_12+</th>\n",
       "      <th>cont_rating_17+</th>\n",
       "      <th>cont_rating_4+</th>\n",
       "      <th>cont_rating_9+</th>\n",
       "      <th>prime_genre_Book</th>\n",
       "      <th>prime_genre_Business</th>\n",
       "      <th>...</th>\n",
       "      <th>prime_genre_News</th>\n",
       "      <th>prime_genre_Photo and Video</th>\n",
       "      <th>prime_genre_Productivity</th>\n",
       "      <th>prime_genre_Reference</th>\n",
       "      <th>prime_genre_Shopping</th>\n",
       "      <th>prime_genre_Social Networking</th>\n",
       "      <th>prime_genre_Sports</th>\n",
       "      <th>prime_genre_Travel</th>\n",
       "      <th>prime_genre_Utilities</th>\n",
       "      <th>prime_genre_Weather</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3.99</td>\n",
       "      <td>38</td>\n",
       "      <td>5</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.00</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>23</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.00</td>\n",
       "      <td>37</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.99</td>\n",
       "      <td>47</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.00</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 31 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   price  sup_devices.num  ipadSc_urls.num  lang.num  cont_rating_12+  \\\n",
       "0   3.99               38                5        10                0   \n",
       "1   0.00               37                5        23                0   \n",
       "2   0.00               37                5         3                0   \n",
       "5   0.99               47                5         1                0   \n",
       "6   0.00               37                0        19                0   \n",
       "\n",
       "   cont_rating_17+  cont_rating_4+  cont_rating_9+  prime_genre_Book  \\\n",
       "0                0               1               0                 0   \n",
       "1                0               1               0                 0   \n",
       "2                0               1               0                 0   \n",
       "5                0               1               0                 0   \n",
       "6                0               1               0                 0   \n",
       "\n",
       "   prime_genre_Business         ...           prime_genre_News  \\\n",
       "0                     0         ...                          0   \n",
       "1                     0         ...                          0   \n",
       "2                     0         ...                          0   \n",
       "5                     0         ...                          0   \n",
       "6                     0         ...                          0   \n",
       "\n",
       "   prime_genre_Photo and Video  prime_genre_Productivity  \\\n",
       "0                            0                         0   \n",
       "1                            0                         1   \n",
       "2                            0                         0   \n",
       "5                            0                         0   \n",
       "6                            0                         0   \n",
       "\n",
       "   prime_genre_Reference  prime_genre_Shopping  prime_genre_Social Networking  \\\n",
       "0                      0                     0                              0   \n",
       "1                      0                     0                              0   \n",
       "2                      0                     0                              0   \n",
       "5                      0                     0                              0   \n",
       "6                      0                     0                              0   \n",
       "\n",
       "   prime_genre_Sports  prime_genre_Travel  prime_genre_Utilities  \\\n",
       "0                   0                   0                      0   \n",
       "1                   0                   0                      0   \n",
       "2                   0                   0                      0   \n",
       "5                   0                   0                      0   \n",
       "6                   0                   0                      0   \n",
       "\n",
       "   prime_genre_Weather  \n",
       "0                    0  \n",
       "1                    0  \n",
       "2                    1  \n",
       "5                    0  \n",
       "6                    0  \n",
       "\n",
       "[5 rows x 31 columns]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "one_hot_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "km = KMeans(n_clusters=2, \n",
    "            init='random', \n",
    "            n_init=10, \n",
    "            max_iter=300,\n",
    "            tol=1e-04,\n",
    "            random_state=42)\n",
    "\n",
    "y_km = km.fit_predict(one_hot_data)\n",
    "labels=np.unique(y_km)\n",
    "colors=['red','blue']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "1\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n",
      "3\n"
     ]
    },
    {
     "data": {
      "image/png": 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wto02G/b9+hDoQ92Muk+q6sXu5zngmwwOZAvOdvOcF+Y7z824nrFU1dnuD+514Mv07Dh187IPAl+tqoe61b0+RhvtU9+PE0BVvQx8G3gHcGWSC3eT21be9SHQd+Zm1DskyRXdCR2SXAG8Fzhx6Vf1xiPAwe75QeDhGdYytgvB1/kgPTpO3Qm3e4GTVfWFdb/q7THabJ/6epySLCW5snv+JuDdDM4LPA58qNtsW8do7rtcALo2pL9n7WbUfzvjkkaW5HcYjMphcE/Xr/Vxf5J8HbiFwZXhzgKfAf4ZeAC4AfgJ8OGq6sWJxk325xYG/40v4AXgoxfmn+ddkj8C/gN4Fni9W/1pBnPOfT1Gm+3T7fTwOCX5fQYnPS9jMLh+oKr+usuI+4Grge8Cf15VPx/qPfsQ6JKkrfVhykWSNAQDXZIaYaBLUiMMdElqhIEuSY0w0CWpEQa6JDXCQJekRvw/RHq2JhBbyagAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "4\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n",
      "5\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6\n",
      "6\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n",
      "7\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8\n",
      "8\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9\n",
      "9\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n",
      "10\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11\n",
      "11\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n",
      "12\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "13\n",
      "13\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14\n",
      "14\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15\n",
      "15\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "16\n",
      "16\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17\n",
      "17\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "18\n",
      "18\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "19\n",
      "19\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20\n",
      "20\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "21\n",
      "21\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22\n",
      "22\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "23\n",
      "23\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24\n",
      "24\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25\n",
      "25\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "26\n",
      "26\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "27\n",
      "27\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "28\n",
      "28\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "29\n",
      "29\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30\n",
      "30\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n"
     ]
    },
    {
     "data": {
      "image/png": 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D4D+9rru8OpwA3jd6tc4twLNV9YtJ37Smp3Rq7T6W4XdOx1l8CngN8PXR89Y/r6pDG7bpNdJxFk3oOItTwF8kOQv8L/CRqrqwcbteGx1n8WHgX5L8LcNTGHdsxgeISb7K8BTeztHzFR8DtgFU1ecYPn9xOzAPPAe8v9P9bsJZSZKW4TttJakRBl+SGmHwJakRBl+SGmHwJakRBl+SGmHwJakR/weu3i/vumHQwAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# repeat varying i in the range of the length of labels\n",
    "for j in range(31):\n",
    "#    for y in range(31): #after several analysis we discovered the column 3 (lang.num) is the most interesting in terms of separation\n",
    "        for i in  range(len(labels)): \n",
    "            X_plot=one_hot_data[y_km==i]\n",
    "            print(j)\n",
    "            plt.scatter(X_plot.iloc[:,j], X_plot.iloc[:,3]     \n",
    "                    , marker='o',c=colors[i]\n",
    "                    , s=10,label='{0}th cluster'.format(i))\n",
    "        plt.show()\n",
    "#plt.scatter(km.cluster_centers_[:,0],km.cluster_centers_[:,1],marker='*',c='r', label='centroids')\n",
    "\n",
    "plt.legend()\n",
    "plt.grid()  # plots a grid on the data\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Assign the cluster label at each row\n",
    "df2=one_hot_data.assign(cluster=y_km)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1a1c9f37b8>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Creation of Boxplots for each cluster\n",
    "plt.figure(figsize = [5,5])\n",
    "sns.boxplot(x=df2.loc[:,'cluster'], y=df2.loc[:,'price'])\n",
    "plt.figure(figsize = [5,5])\n",
    "sns.boxplot(x=df2.loc[:,'cluster'], y=df2.loc[:,'sup_devices.num'])\n",
    "plt.figure(figsize = [5,5])\n",
    "sns.boxplot(x=df2.loc[:,'cluster'], y=df2.loc[:,'ipadSc_urls.num'])\n",
    "plt.figure(figsize = [5,5])\n",
    "sns.boxplot(x=df2.loc[:,'cluster'], y=df2.loc[:,'lang.num'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is clear from the boxplot how the clustering procedure splitted the database df2 according mainly to the numbers of languages available for each app."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Calculate the mean and var only for numerical variable\n",
    "mean_price=[]\n",
    "mean_price.append(np.mean(df2[df2['cluster']==0].loc[:,'price']))\n",
    "mean_price.append(np.mean(df2[df2['cluster']==1].loc[:,'price']))\n",
    "mean_price.append(np.mean(df2.loc[:,'price']))\n",
    "\n",
    "mean_supd=[]\n",
    "mean_supd.append(np.mean(df2[df2['cluster']==0].loc[:,'sup_devices.num']))\n",
    "mean_supd.append(np.mean(df2[df2['cluster']==1].loc[:,'sup_devices.num']))\n",
    "mean_supd.append(np.mean(df2.loc[:,'sup_devices.num']))\n",
    "\n",
    "mean_ip=[]\n",
    "mean_ip.append(np.mean(df2[df2['cluster']==0].loc[:,'ipadSc_urls.num']))\n",
    "mean_ip.append(np.mean(df2[df2['cluster']==1].loc[:,'ipadSc_urls.num']))\n",
    "mean_ip.append(np.mean(df2.loc[:,'ipadSc_urls.num']))\n",
    "\n",
    "mean_lang=[]\n",
    "mean_lang.append(np.mean(df2[df2['cluster']==0].loc[:,'lang.num']))\n",
    "mean_lang.append(np.mean(df2[df2['cluster']==1].loc[:,'lang.num']))\n",
    "mean_lang.append(np.mean(df2.loc[:,'lang.num']))\n",
    "\n",
    "var_price=[]\n",
    "var_price.append(np.var(df2[df2['cluster']==0].loc[:,'price']))\n",
    "var_price.append(np.var(df2[df2['cluster']==1].loc[:,'price']))\n",
    "var_price.append(np.var(df2.loc[:,'price']))\n",
    "\n",
    "var_supd=[]\n",
    "var_supd.append(np.var(df2[df2['cluster']==0].loc[:,'sup_devices.num']))\n",
    "var_supd.append(np.var(df2[df2['cluster']==1].loc[:,'sup_devices.num']))\n",
    "var_supd.append(np.var(df2.loc[:,'sup_devices.num']))\n",
    "\n",
    "var_ip=[]\n",
    "var_ip.append(np.var(df2[df2['cluster']==0].loc[:,'ipadSc_urls.num']))\n",
    "var_ip.append(np.var(df2[df2['cluster']==1].loc[:,'ipadSc_urls.num']))\n",
    "var_ip.append(np.var(df2.loc[:,'ipadSc_urls.num']))\n",
    "\n",
    "var_lang=[]\n",
    "var_lang.append(np.var(df2[df2['cluster']==0].loc[:,'lang.num']))\n",
    "var_lang.append(np.var(df2[df2['cluster']==1].loc[:,'lang.num']))\n",
    "var_lang.append(np.var(df2.loc[:,'lang.num']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                    mean_0     mean_1  Total_mean\n",
      "price             1.346107   1.478635    1.377145\n",
      "sup_devices.num  38.256002  37.938654   38.181678\n",
      "ipadSc_urls.num   3.494251   4.158311    3.649776\n",
      "lang.num          1.693565  13.625989    4.488182\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAFICAYAAABA2wWFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAH4hJREFUeJzt3XucVXW9//HXewZ0vJCkjAZOCiaJCgScYdQfaoKcoNS8RCnHX9FRf6SklnbBUn95elQP9aF2Hiknf5QXPGleMzxWevCW4Q1BUSBCNMnGVEYURI8XBj+/P/YaHHCG2bNn7Vmz17yfj8c8Zq+1b28W8J41373WdykiMDOzyleVdQAzM0uHC93MLCdc6GZmOeFCNzPLCRe6mVlOuNDNzHLChW5mlhNFF7qkaklPSrozWR4i6TFJKyXdJGmb8sU0M7OOdGYP/RvA8lbLFwE/jYihwOvAyWkGMzOzzlExZ4pKqgPmAD8GzgaOApqAj0VEs6SDgAsiYtLWXmfAgAExePDgLoc2M+tNFi1a9GpE1Hb0uD5Fvt6/A98F+iXLuwBrI6I5WW4Edm/riZKmA9MB9thjDxYuXFjkW5qZGYCkvxXzuA6HXCQdCayOiEWtV7fx0DZ39SNidkTUR0R9bW2HP2DMzKxExeyhjwM+L+lzQA3wEQp77P0l9Un20uuAf5QvppmZdaTDPfSI+F5E1EXEYOAE4L6IOBG4H5iSPGwaMLdsKc3MrEPFjqG3ZSZwo6QfAU8CV6UTycx6gg0bNtDY2Mg777yTdZReo6amhrq6Ovr27VvS8ztV6BHxAPBAcvuvQENJ72pmPV5jYyP9+vVj8ODBSG19bGZpigjWrFlDY2MjQ4YMKek1fKaombXpnXfeYZdddnGZdxNJ7LLLLl36jciFbmbtcpl3r65ubxe6mVlOdOVDUcuhwef8rqTnrbrwiE4/Z8ScESW915JpS0p6nnVNqf822lPKvxnbOu+hm5ltxfPPP88BBxzA0KFDOf7443nvvfeyjtQu76FbOi7YqfPPGbJH+jnMUjZz5kzOOussTjjhBE499VSuuuoqTjvttKxjtcl76GbWY61atYphw4ZxyimnMHz4cE488UTuuecexo0bx9ChQ1mwYAFvvfUWJ510EmPHjmX06NHMnTt303MPOeQQxowZw5gxY3j44YcBeOCBBzjssMOYMmUKw4YN48QTT6S9SQojgvvuu48pUwrnUE6bNo3f/va33fOHL4H30M2sR3v22We55ZZbmD17NmPHjuWGG25g/vz53HHHHfzkJz9hv/32Y8KECVx99dWsXbuWhoYGJk6cyK677sq8efOoqalh5cqVTJ06ddPkgE8++STLli1j0KBBjBs3joceeoiDDz74Q++9Zs0a+vfvT58+haqsq6vjxRdf7NY/f2e40M2sRxsyZAgjRhQ+QN9///05/PDDkcSIESNYtWoVjY2N3HHHHVxyySVA4fj5F154gUGDBnH66aezePFiqqureeaZZza9ZkNDA3V1dQCMGjWKVatWtVnobe259+RDOV3oZtajbbvttptuV1VVbVquqqqiubmZ6upqbrvtNvbZZ5/NnnfBBRew22678dRTT/H+++9TU1PT5mtWV1fT3NxMWwYMGMDatWtpbm6mT58+NDY2MmjQoDT/eKlyoZtZUXrqYYaTJk3i8ssv5/LLL0cSTz75JKNHj2bdunXU1dVRVVXFnDlz2LhxY6dfWxLjx4/n1ltv5YQTTmDOnDkcffTRZfhTpMMfippZRTv//PPZsGEDI0eOZPjw4Zx//vkAzJgxgzlz5nDggQfyzDPPsMMOO5T0+hdddBGXXXYZe++9N2vWrOHkk3vu1TaLugRdWurr68NXLOrZSj6xqOZfOv2cESUetugTi7rH8uXL2XfffbOO0eu0td0lLYqI+o6e6z10M7Oc8Bi6mRlw7LHH8vzzz2+27qKLLmLSpEkZJeo8F7qZGXD77bdnHaHLPORiZpYTLnQzs5zosNAl1UhaIOkpScsk/Vuy/lpJz0tanHyNKn9cMzNrTzFj6O8CEyLiTUl9gfmS/pDc952IuLV88cysxyhlRs2tvt66dF/POt5Dj4I3k8W+yVf3HbxuZpahK664gr333htJvPrqq1nH2aqixtAlVUtaDKwG5kXEY8ldP5b0tKSfStq2nedOl7RQ0sKmpqaUYpuZdY9x48Zxzz33sOeee2YdpUNFFXpEbIyIUUAd0CBpOPA9YBgwFtgZmNnOc2dHRH1E1NfW1qYU28x6g6znQwcYPXo0gwcP7o4/bpd16jj0iFgr6QFgckRckqx+V9I1wLfTDmdmluV86JWmw0KXVAtsSMp8O2AicJGkgRHxkgqTAx8DLC1zVjPrhbKcD73SFLOHPhCYI6mawhDNzRFxp6T7krIXsBg4tYw5zayXynI+9ErTYaFHxNPA6DbWTyhLIjPrmXroYYblnA+90vhMUTOraOWeD/1nP/sZdXV1NDY2MnLkSE455ZQ046fK86HbZjwfurXwfOjZ8HzoZmbm6XPNzMDzoZuZ5YbnQzczsx7DhW5mlhMudDOznPAYupkVZcScEam+XkeHn65Zs4bDDz8cgJdffpnq6mpaJvhbsGAB22yzzWaPf+2117j55ps59dStn7Te3NzMgAEDWLt2bRfS90wudDPrkXbZZRcWL14MFE7j33HHHfn2t9ufA/C1117jyiuv7LDQ88xDLmZWcS6++GKGDx/O8OHDufzyywE455xzWLFiBaNGjeKcc87hjTfeYMKECYwZM4aRI0dy5513FvXa99xzD+PHj2fKlCkMHTqU8847j+uuu46xY8cycuRIVq1aBcArr7zCcccdR319PQ0NDTz66KMAPProoxx00EGMHj2acePGsXLlSgB++ctfMmXKFCZNmsTQoUP53ve+l/p28R66mVWUBQsWcP3117NgwQI2btxIQ0MDn/70p7nwwgt59tlnN+3Vb9iwgblz59KvXz9Wr17NuHHjOPLII4t6j6eeeorly5ez0047MXjwYGbMmMHjjz/OpZdeyhVXXMEll1zCmWeeyXe/+10OPPBAVq1axZFHHsnSpUvZd999mT9/PtXV1dx1112cd9553HTTTZte94knnqBPnz588pOf5IwzzmDQoEGpbRsXuplVlD/96U984QtfYPvttwfgmGOOYf78+XzmM5/Z7HERwcyZM5k/fz5VVVX8/e9/59VXX6V///4dvscBBxzAbrvtBsBee+216eSiESNG8MgjjwCFPfkVK1Zses7rr7/O22+/zdq1a/nKV77Cc88996HXnThxIv369QNg2LBhm6b5TYsL3cwqSrHzT1133XWsW7du0x5xXV0d77zzTlHP7WjK3pYcbX04e+655zJp0iRmzJjBs88+y+TJk9t83XJM2+sxdDOrKIceeii33347b7/9Nm+++SZz587lkEMOoV+/fqxfv37T49atW8euu+5Knz59mDdvHi+++GKqOSZOnMisWbM2LbcM9axbt47dd98dgGuvvTbV9+yI99DNrCg9ZZbLhoYGpk6dytixYwE47bTTNl3RqL6+nhEjRnDEEUdw9tlnc9RRR1FfX8+YMWMYOnRoqjlmzZrFaaedxjXXXENzczPjx49n1qxZzJw5k5NOOomLL76Y8ePHp/qeHfH0ubYZT59rLTx9bjY8fa6ZmRV1kega4EFg2+Txt0bEDyQNAW4EdgaeAL4cEe+VM6yZWVoWL17MV7/61c3Wbb/99jz88MPZBEpBMWPo7wITIuJNSX2B+ZL+AJwN/DQibpR0JXAy8PMyZjWzbhYRSMo6RlmMGjVq0weZPUVXh8A7HHKJgjeTxb7JVwATgFuT9XOAY7qUxMx6lJqaGtasWdPlkrHiRARr1qyhpqam5Nco6igXSdXAImBvYBbwHLA2IloOomwEdm/nudOB6QB77FHah2Bm1v1aLozc1NSUdZReo6amhrq6upKfX1ShR8RGYJSk/sDtQFsffbf5YzwiZgOzoXCUS4k5zayb9e3blyFDhmQdwzqhU0e5RMRa4AHgQKC/pJYfCHXAP9KNZmZmndFhoUuqTfbMkbQdMBFYDtwPTEkeNg2YW66QZmbWsWKGXAYCc5Jx9Crg5oi4U9KfgRsl/Qh4EriqjDnNzKwDHRZ6RDwNjG5j/V+BhnKEMjOzzvOZomZmOeFCNzPLCRe6mVlOuNDNzHLChW5mlhMudDOznHChm5nlhAvdzCwnXOhmZjnhQjczywkXuplZTrjQzcxywoVuZpYTLnQzs5xwoZuZ5YQL3cwsJ1zoZmY54UI3M8uJYi4S/XFJ90taLmmZpG8k6y+Q9KKkxcnX58of18zM2lPMRaKbgW9FxBOS+gGLJM1L7vtpRFxSvnhmZlasYi4S/RLwUnJ7vaTlwO7lDmZmZp3TqTF0SYOB0cBjyarTJT0t6WpJH23nOdMlLZS0sKmpqUthzcysfUUXuqQdgduAb0bEG8DPgU8AoyjswV/a1vMiYnZE1EdEfW1tbQqRzcysLUUVuqS+FMr8+oj4DUBEvBIRGyPifeAXQEP5YpqZWUeKOcpFwFXA8oi4rNX6ga0ediywNP14ZmZWrGKOchkHfBlYImlxsu77wFRJo4AAVgFfK0tCMzMrSjFHucwH1MZdv08/jpmZlcpnipqZ5YQL3cwsJ1zoZmY54UI3M8sJF7qZWU640M3McsKFbmaWEy50M7OccKGbmeWEC93MLCdc6GZmOeFCNzPLCRe6mVlOuNDNzHLChW5mlhMudDOznHChm5nlhAvdzCwnirlI9Mcl3S9puaRlkr6RrN9Z0jxJK5PvHy1/XDMza08xe+jNwLciYl/gQODrkvYDzgHujYihwL3JspmZZaTDQo+IlyLiieT2emA5sDtwNDAnedgc4JhyhTQzs451agxd0mBgNPAYsFtEvASF0gd2bec50yUtlLSwqampa2nNzKxdRRe6pB2B24BvRsQbxT4vImZHRH1E1NfW1paS0czMilBUoUvqS6HMr4+I3ySrX5E0MLl/ILC6PBHNzKwYxRzlIuAqYHlEXNbqrjuAacntacDc9OOZmVmx+hTxmHHAl4ElkhYn674PXAjcLOlk4AXgi+WJaGZmxeiw0CNiPqB27j483ThmZlYqnylqZpYTLnQzs5xwoZuZ5YQL3cwsJ1zoZmY54UI3M8sJF7qZWU640M3McsKFbmaWEy50M7OccKGbmeWEC93MLCdc6GZmOeFCNzPLCRe6mVlOuNDNzHLChW5mlhMudDOznCjmItFXS1otaWmrdRdIelHS4uTrc+WNaWZmHSlmD/1aYHIb638aEaOSr9+nG8vMzDqrw0KPiAeB17ohi5mZdUFXxtBPl/R0MiTz0fYeJGm6pIWSFjY1NXXh7czMbGtKLfSfA58ARgEvAZe298CImB0R9RFRX1tbW+LbmZlZR0oq9Ih4JSI2RsT7wC+AhnRjmZlZZ5VU6JIGtlo8Flja3mPNzKx79OnoAZJ+DRwGDJDUCPwAOEzSKCCAVcDXypjRzMyK0GGhR8TUNlZfVYYsZmbWBT5T1MwsJzrcQzczq2gX7FTi89alm6MbeA/dzCwnXOhmZjnhQjczywkXuplZTrjQzcxywoVuZpYTLnQzs5xwoZuZ5YQL3cwsJ1zoZmY54UI3M8sJF7qZWU640M3McsKFbmaWEy50M7OccKGbmeVEh4Uu6WpJqyUtbbVuZ0nzJK1Mvn+0vDHNzKwjxeyhXwtM3mLdOcC9ETEUuDdZNjOzDHVY6BHxIPDaFquPBuYkt+cAx6Scy8zMOqnUMfTdIuIlgOT7ru09UNJ0SQslLWxqairx7czMrCNl/1A0ImZHRH1E1NfW1pb77czMeq1SC/0VSQMBku+r04tkZmalKLXQ7wCmJbenAXPTiWNmZqUq5rDFXwOPAPtIapR0MnAh8M+SVgL/nCybmVmG+nT0gIiY2s5dh6ecxczMusBnipqZ5YQL3cwsJ1zoZmY54UI3M8sJF7qZWU640M3McsKFbmaWEy50M7OccKGbmeWEC93MLCdc6GZmOeFCNzPLCRe6mVlOuNDNzHLChW5mlhMudDOznHChm5nlhAvdzCwnOrwE3dZIWgWsBzYCzRFRn0YoMzPrvC4VemJ8RLyawuuYmVkXeMjFzCwnulroAfy3pEWSprf1AEnTJS2UtLCpqamLb2dmZu3paqGPi4gxwGeBr0s6dMsHRMTsiKiPiPra2touvp2ZmbWnS4UeEf9Ivq8Gbgca0ghlZmadV/KHopJ2AKoiYn1y+zPAD1NLZmaWoRFzRpT0vCXTlqScpHhdOcplN+B2SS2vc0NE3JVKKjMz67SSCz0i/gp8KsUsZgZwwU4lPm9dujms4viwRTOznEjjxCIz6wEqcczX0uVCNyuTwef8rqTnrapJOYj1Gh5yMTPLCRe6mVlOuNDNzHLChW5mlhMudDOznHChm5nlhAvdzCwnXOhmZjnhQjczywmfKWpmFcFn3nas9xa6Z7Qzs5yp+ELv7p/angDJzHoqj6GbmeWEC93MLCdc6GZmOdGlQpc0WdIKSc9KOietUGZm1nklF7qkamAW8FlgP2CqpP3SCmZmZp3TlT30BuDZiPhrRLwH3AgcnU4sMzPrLEVEaU+UpgCTI+KUZPnLwAERcfoWj5sOTE8W9wFWlB632wwAXs06RI54e6bH2zJdlbI994yI2o4e1JXj0NXGug/9dIiI2cDsLrxPt5O0MCLqs86RF96e6fG2TFfetmdXhlwagY+3Wq4D/tG1OGZmVqquFPrjwFBJQyRtA5wA3JFOLDMz66ySh1wiolnS6cDdQDVwdUQsSy1ZtipqiKgCeHumx9syXbnaniV/KGpmZj2LzxQ1M8sJF7qZWU640M3McsKFbmaWEy70ViTtKWlicns7Sf2yzmRmVqyKv2JRWiT9HwpTFOwMfILCiVJXAodnmatSSaoHzgX2pPDvTEBExMhMg1Uob8/0SOoPfAUYTKsOjIgzs8qUFhf6B75OYcKxxwAiYqWkXbONVNGuB74DLAHezzhLHnh7puf3wKPkcFu60D/wbkS8JxWmqJHUhzbmprGiNUWEzxxOj7dnemoi4uysQ5SDTyxKSLoYWEvhV7EzgBnAnyPi3EyDVShJhwNTgXuBd1vWR8RvMgtVwbw90yPpLOBN4E4235avZRYqJS70hKQq4GTgMxTGJ+8GfhneQCWR9CtgGLCMD36tjYg4KbtUlcvbMz2Svg78mMIOXMv/74iIvbJLlQ4XekLSDsA7EbExWa4Gto2I/8k2WWWStCQiRmSdIy+8PdMj6TkK126ohHnQO8WHLX7gXmC7VsvbAfdklCUPHvUlCVPl7ZmeZUAud9T8oegHaiLizZaFiHhT0vZZBqpwBwPTJD1PYZzSh9l1jbdnejYCiyXdz+Zj6D5sMUfekjQmIp4AkPRPwNsZZ6pkk7MOkDPenun5bfKVOy70D3wTuEVSy1WXBgLHZ5in0vnDmXR5e6YkIuZknaFc/KFoK5L6UriQtYC/RMSGjCNVLElLKJSQgBpgCLAiIvbPNFiF8vZMTzJs1db1jyv+KJdev4cuaUJE3CfpuC3uGirJx/mWaMsjMiSNAb6WUZyK5+2ZqtYXha4Bvkhhyo+K1+v30CX9W0T8QNI1bdzt43xTJOmJiBiTdY688PZMj6T5EXFw1jm6qtfvoSdlXgX8ISJuzjpPXkhqfWp1FTAGaMooTsXz9kxP8ttNiyoKe+y5mFm11xc6QES8n1zw2oWentb/QZqB3wG3ZZQlD7w903Npq9vNwCrgS9lESVevH3JpIel8Cocp3gS81bI+D/M7mFnv4EJP5PmT7yxI+iTwbT485/SErDJVMm/P9EjaFvgCH96WP8wqU1o85PKB/SjMsHgwhWL/E4ULXFhpbqGw/X5J4cw86xpvz/TMBdYBi2h1pmgeeA89Ielm4A0KFxKAwlSl/SMiF2Nr3U3Sooj4p6xz5IW3Z3okLY2I4VnnKAfvoX9gn4j4VKvl+yU9lVmayvdfkmYAt5OzOacz4u2ZnocljYiIJVkHSZv30BOSrgWujIhHk+UDgGkRMSPTYBUq+UxiS7mYczoL3p7pkfRnYG8gdxOdudATkpZTOO3/hWTVHsByChcTyMVftpmBpD3bWh8Rf+vuLGlzoSfa+0tukYe/7KxJ+lhEvJx1jrzw9rQtudCt20j6XUQckXWOvPD2TI+kOyPiyKxzdJUL3cx6PUkDI+KlrHN0lS9BZ2Uh6RPJCRxIOkzSmZL6Z52rUnl7llceyhy8h25lImkxhUmPBgN3A3dQODT0c1nmqlTenulpNbd8a+uAhcCPImJN96dKh49Dt3J5PyKaJR0L/HtEXC7pyaxDVTBvz/T8gcLZtjckyydQOHRxHXAtcFQ2sbrOhW7lskHSVGAaH/wH6Zthnkrn7ZmecRExrtXyEkkPRcQ4Sf87s1Qp8Bi6lcu/AgcBP46I5yUNAX6VcaZK5u2Znh2TEwcBkNQA7JgsNmcTKR0eQ7eykbQdsEdErMg6i1kLSWOBqymUuCjM4XQKsAw4opIvdONCt7KQdBRwCbBNRAyRNAr4YUR8PuNoFaWdD/A28RnMpZO0E4UOXJt1lrS40K0sJC0CJgAPRMToZN2SLS92bFvnM5jT5/nQzTqvOSLWSWq9znsPnRQRf5NUDdwdEROzzpMTuZ0P3YVu5bJU0r8A1ZKGAmcCD2ecqSJFxEZJ/yNpp4hYl3WeHKiLiMlZhygHF7qVyxnAuRT2gG6gcDLMjzJNVNneoXB43Tw2v+btmdlFqlieD93MsiNpWlvrI2JOd2epdJ4P3ayTkj3JL7YcQSDpo8CNETEp22TW2+V5PnQPuVi5DGh9OFhEvC5p1ywDVbLkikUf2vvyFYs6r6W4k3+PNRnHSZUL3crlfUl7RMQLsGmvyL8Olq6+1e0a4IvAzhllqWiSPg9cCgwCVgN7Urg62f5Z5kqDh1ysLCRNBmYDf0xWHQpMj4i7s0uVL5LmR8TBWeeoNMnF3ycA90TEaEnjgakRMT3jaF3mPXQri4i4S9IY4EAKHzqdFRGvZhyrYiXbskUVhT32fhnFqXQbImKNpCpJVRFxv6SLsg6VBhe6pUrSsIj4S6sC+kfyfY9kCOaJrLJVuEtb3W6mcITGlzLKUunWStoReBC4XtJqKnxSrhYecrFUSZodEdMl3d/G3RERE7o9VC8gaZoPYSyOpB0oHNcv4ERgJ+D6Sr6wRQsXulkOSHoiIsZ0/EjLMw+5WFkkHzzdCNwcEc9lnacXUMcP6d0kraftI61aTiz6SDdHSp0L3crl88DxwM2S3gduolDuL2QbK7f8q3YHIiL3HyJ7yMXKLpmc63zgxIiozjpPHkl6smWaYuu9vIduZSNpMIUjMY6ncFHe72aZJ+ceyjqAZc976FYWkh6jcBHjW4CbIuKvGUeqaJJ+Aly8xdw434qI87JNZj2JC93KouV49Kxz5EVbQyo+ssW2VJV1AMut1yVdJekPAJL2k3Ry1qEqWHVy6TRg0wW4t93K460XcqFbuVxL4aIWg5LlZ4BvZpam8v0KuFfSyZJOAuYBPpHINuMhFysLSY9HxNjWQwWSFkfEqKyzVapkwrOW64rO80RntiUf5WLl8pakXUiOj5Z0IIUL81qJkgnPHqcwc6UnOrMP8ZCLlcvZwB3AJyQ9BFxH4Tqj1gmS7pQ0PLk9EFgKnAT8pyQPYdlmPORiZSOpD7APhVOrV0TEhowjVRxJyyJi/+T294FhEfEVSf2Ah/JwHUxLj4dcLFWSjmvnrk9KIiJ+062BKl/rH4KHA78AiIj1yZQKZpu40C1tRyXfdwX+F3BfsjweeABwoXfO3yWdATQCY4C7YNNhi32zDGY9jwvdUhUR/wqFsV9gv4h4KVkeCMzKMluFOhn4IYWjW45vdeHtA4FrMktlPZLH0K0sJC2NiOGtlquAp1uvM7N0eQ/dyuUBSXcDv6Zw6OIJQFtXMbKtkPRfbGVq3Ij4fDfGsR7Oe+hWNpKOpXDMNMCDEXF7lnkqkaRPJzePAz5G4YxRgKnAqoj4fibBrEdyoVsmJD0SEQdlnaNSSHowIg7taJ31bj6xyLJSk3WAClMraa+WBUlDgNoM81gP5DF0y4p/Neycsyh8LtEyr/xg4GvZxbGeyIVuVgGSeVyGAsOSVX+JiHezzGQ9jwvdsuKr1HfeUApTKdQAn0rOvL0u40zWg/hDUSsbSR8DGigMrzweES+3um94RCzNLFyFkfQD4DBgP+D3wGeB+RExJctc1rP4Q1ErC0mnAAsoHG43BXg0uTADAC7zTptCYS6Xl5OzcT+Fr1hkW/CQi5XLd4DREbEGIJkb/WHg6kxTVa63I+J9Sc2SPgKsBvbq6EnWu7jQrVwagfWtltcDf88oSx4slNSfwmyLi4A3KfwGZLaJx9CtLCRdB4wA5lIYQz+aQgE9AxARl2WXrrJJGgx8JCKezjiK9TDeQ7dyeS75ajE3+d4vgyy5kMw1fzCFH5DzARe6bcZ76GYVQNJ/AHtTmOwM4HjguYj4enaprKdxoVtZSLqfNs4GjYgJGcSpeJKWAcMj+Q+bTEe8pOXydGbgIRcrn2+3ul0DfAFozihLHqwA9gD+lix/HA+52Ba8h27dRtIfI+LTHT/StiTpj8BYPjiyZSzwCPA/4HnRrcB76FYWknZutVgF1FOYz9tK83+zDmA9nwvdymURhTF0Ubhy/SoK18e0EkTEH7POYD2fT/23cpkJjIqIIcB/Am+RDA9Y8STNT76vl/RGq6/1kt7IOp/1LB5Dt7KQ9HREjJR0MPAT4FLg+xFxQMbRzHLLe+hWLhuT70cAV0bEXGCbDPOY5Z4L3crlRUn/D/gS8HtJ2+J/b2Zl5SEXKwtJ2wOTKZz8slLSQGBERPx3xtHMcsuFbmaWE/4V2MwsJ1zoZmY54UI3M8sJF7qZWU78fwmojeSCV5UfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#create a mean array\n",
    "mean_array=np.row_stack([mean_price,mean_supd,mean_ip,mean_lang])\n",
    "mean_array=pd.DataFrame(mean_array)\n",
    "mean_array.index=['price','sup_devices.num','ipadSc_urls.num','lang.num']\n",
    "mean_array.columns=['mean_0','mean_1','Total_mean']\n",
    "print(mean_array)\n",
    "mean_array.plot(kind='bar')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The table and the barplot show the following features for cluster 1:\n",
    "a higher mean price, a lower mean number of supported devices, a higher mean number of presentation images\n",
    "and a substantial higher mean number of languages, which seems the main driver for the clustering.\n",
    "The table and the barplot show the following features for cluster 0:\n",
    "a lower mean price, a higher number of supported devices, a lower mean number of presentation images\n",
    "and a substantial mean lower number of languages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                    var_0      var_1  Total_var\n",
      "price            4.915924   5.663972   5.094270\n",
      "sup_devices.num  3.147899   2.114311   2.923891\n",
      "ipadSc_urls.num  4.354466   2.795518   4.068445\n",
      "lang.num         2.134260  22.280301  32.389208\n"
     ]
    },
    {
     "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": [
    "#create a var array\n",
    "var_array=np.row_stack([var_price,var_supd,var_ip,var_lang])\n",
    "var_array=pd.DataFrame(var_array)\n",
    "var_array.index=['price','sup_devices.num','ipadSc_urls.num','lang.num']\n",
    "var_array.columns=['var_0','var_1','Total_var']\n",
    "print(var_array)\n",
    "mean_array.plot(kind='bar')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The table and the barplot show the following features for cluster 1:\n",
    "a higher var price, a lower var of supported devices, a lower var in number of presentation images\n",
    "and a substantial higher var of languages, which seems the main driver for the clustering.\n",
    "The table and the barplot show the following features for cluster 0:\n",
    "a lower var price, a higher var of supported devices, a higher var in number of presentation images\n",
    "and a substantial lower var of languages.\n",
    "On both barplots, it is clear how the clustering was influenced by lang.num dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "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": [
    "#Scatter plot of the mean-var for each numerical attribute in each cluster (i.e. scatter of the two former tables)\n",
    "plt.scatter(mean_array.iloc[:,0],var_array.iloc[:,0])\n",
    "plt.scatter(mean_array.iloc[:,1],var_array.iloc[:,1])\n",
    "plt.axhline(np.mean())\n",
    "axvline()\n",
    "plt.legend(['cluster_0','cluster_1'])\n",
    "plt.title('Clusters  mean-var relation')\n",
    "plt.xlabel('Mean')\n",
    "plt.ylabel('Var')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "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": "3.7.2"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "position": {
    "height": "606.35px",
    "left": "1018px",
    "right": "42.5px",
    "top": "97px",
    "width": "647px"
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}