AllLife Bank Customer Segmentation Project.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <a id='link2'>AllLife Bank Customer Segmentation</a>\n",
    "# <a id='link2'>Background & Context:</a>\n",
    "AllLife Bank wants to focus on its credit card customer base in the next financial year. They have been advised by their marketing research team, that the penetration in the market can be improved. \n",
    "Based on this input, the Marketing team proposes to run personalized campaigns to target new customers as well as upsell to existing customers. Another insight from the market research was that the customers perceive the support services of the bank poorly. \n",
    "Based on this, the Operations team wants to upgrade the service delivery model, to ensure that customer queries are resolved faster, to help the bank better market and service their customers.\n",
    "\n",
    "# <a id='link2'>Objective:</a>     \n",
    "1. Explore and visualize the dataset\n",
    "2. Identify different segments in the existing customer, based on their spending patterns and past interaction with the bank, using clustering algorithms\n",
    "3. Generate a set of insights and provide recommendations to the bank on how to better market and service these customers\n",
    "\n",
    "# <a id='link2'>Data Dictionary:</a>\n",
    "* Sl_No: Primary key of the records\n",
    "* Customer Key: Customer identification number\n",
    "* Average Credit Limit: Average credit limit of each customer for all credit cards\n",
    "* Total credit cards: Total number of credit cards possessed by the customer\n",
    "* Total visits bank: Total number of Visits that customer made (yearly) personally to the bank\n",
    "* Total visits online: Total number of visits or online logins made by the customer (yearly)\n",
    "* Total calls made: Total number of calls made by the customer to the bank or its customer service department (yearly)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <a id='link2'>Loading Libraries</a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Library to suppress warnings or deprecation notes \n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "# Libraries to help with reading and manipulating data\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# Libraries to help with data visualization\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import seaborn as sns\n",
    "\n",
    "# Removes the limit for the number of displayed columns\n",
    "pd.set_option(\"display.max_columns\", None)\n",
    "# Sets the limit for the number of displayed rows\n",
    "pd.set_option(\"display.max_rows\", 200)\n",
    "\n",
    "# to scale the data using z-score\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "# to compute distances\n",
    "from scipy.spatial.distance import pdist, cdist\n",
    "\n",
    "# to perform hierarchical clustering, compute cophenetic correlation, and create dendrograms\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "from scipy.cluster.hierarchy import dendrogram, linkage, cophenet\n",
    "\n",
    "# to perform PCA\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "# to perform k-means clustering and compute silhouette scores\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import silhouette_score\n",
    "\n",
    "# to visualize the elbow curve and silhouette scores\n",
    "from yellowbrick.cluster import KElbowVisualizer, SilhouetteVisualizer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <a id='link2'>Loading and exploring the data</a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are 660 rows and 6 columns.\n"
     ]
    },
    {
     "data": {
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\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>Customer Key</th>\n",
       "      <th>Avg_Credit_Limit</th>\n",
       "      <th>Total_Credit_Cards</th>\n",
       "      <th>Total_visits_bank</th>\n",
       "      <th>Total_visits_online</th>\n",
       "      <th>Total_calls_made</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sl_No</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>548</th>\n",
       "      <td>38125</td>\n",
       "      <td>26000</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>354</th>\n",
       "      <td>94437</td>\n",
       "      <td>9000</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>500</th>\n",
       "      <td>65825</td>\n",
       "      <td>68000</td>\n",
       "      <td>6</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>174</th>\n",
       "      <td>38410</td>\n",
       "      <td>9000</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>242</th>\n",
       "      <td>81878</td>\n",
       "      <td>10000</td>\n",
       "      <td>4</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Customer Key  Avg_Credit_Limit  Total_Credit_Cards  Total_visits_bank  \\\n",
       "Sl_No                                                                          \n",
       "548           38125             26000                   4                  5   \n",
       "354           94437              9000                   5                  4   \n",
       "500           65825             68000                   6                  4   \n",
       "174           38410              9000                   2                  1   \n",
       "242           81878             10000                   4                  5   \n",
       "\n",
       "       Total_visits_online  Total_calls_made  \n",
       "Sl_No                                         \n",
       "548                      2                 4  \n",
       "354                      1                 3  \n",
       "500                      2                 2  \n",
       "174                      5                 8  \n",
       "242                      1                 3  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_excel(\"Credit Card Customer Data.xlsx\", index_col=0)\n",
    "df = data.copy() # Making a copy of the data\n",
    "print(f'There are {df.shape[0]} rows and {df.shape[1]} columns.')\n",
    "\n",
    "# Setting the random seed to look at 10 random rows\n",
    "np.random.seed(1)\n",
    "df.sample(n=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* The dataset has 660 rows and 7 columns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 660 entries, 1 to 660\n",
      "Data columns (total 6 columns):\n",
      " #   Column               Non-Null Count  Dtype\n",
      "---  ------               --------------  -----\n",
      " 0   Customer Key         660 non-null    int64\n",
      " 1   Avg_Credit_Limit     660 non-null    int64\n",
      " 2   Total_Credit_Cards   660 non-null    int64\n",
      " 3   Total_visits_bank    660 non-null    int64\n",
      " 4   Total_visits_online  660 non-null    int64\n",
      " 5   Total_calls_made     660 non-null    int64\n",
      "dtypes: int64(6)\n",
      "memory usage: 36.1 KB\n"
     ]
    }
   ],
   "source": [
    "df.info() # Checking the dataset info"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Checking for missing values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Customer Key           0\n",
       "Avg_Credit_Limit       0\n",
       "Total_Credit_Cards     0\n",
       "Total_visits_bank      0\n",
       "Total_visits_online    0\n",
       "Total_calls_made       0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* There are no missing values in the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Duplicate observations check"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "\n",
       "    .dataframe thead th {\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Customer Key</th>\n",
       "      <th>Avg_Credit_Limit</th>\n",
       "      <th>Total_Credit_Cards</th>\n",
       "      <th>Total_visits_bank</th>\n",
       "      <th>Total_visits_online</th>\n",
       "      <th>Total_calls_made</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Sl_No</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  <tbody>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [Customer Key, Avg_Credit_Limit, Total_Credit_Cards, Total_visits_bank, Total_visits_online, Total_calls_made]\n",
       "Index: []"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[df.duplicated(keep=False)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- There are no duplicate value present in the customer key as it is unique to each customer."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Statistical summary for the dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Customer Key</th>\n",
       "      <td>660.0</td>\n",
       "      <td>55141.443939</td>\n",
       "      <td>25627.772200</td>\n",
       "      <td>11265.0</td>\n",
       "      <td>33825.25</td>\n",
       "      <td>53874.5</td>\n",
       "      <td>77202.5</td>\n",
       "      <td>99843.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Avg_Credit_Limit</th>\n",
       "      <td>660.0</td>\n",
       "      <td>34574.242424</td>\n",
       "      <td>37625.487804</td>\n",
       "      <td>3000.0</td>\n",
       "      <td>10000.00</td>\n",
       "      <td>18000.0</td>\n",
       "      <td>48000.0</td>\n",
       "      <td>200000.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Total_Credit_Cards</th>\n",
       "      <td>660.0</td>\n",
       "      <td>4.706061</td>\n",
       "      <td>2.167835</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.00</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Total_visits_bank</th>\n",
       "      <td>660.0</td>\n",
       "      <td>2.403030</td>\n",
       "      <td>1.631813</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Total_visits_online</th>\n",
       "      <td>660.0</td>\n",
       "      <td>2.606061</td>\n",
       "      <td>2.935724</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>15.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Total_calls_made</th>\n",
       "      <td>660.0</td>\n",
       "      <td>3.583333</td>\n",
       "      <td>2.865317</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     count          mean           std      min       25%  \\\n",
       "Customer Key         660.0  55141.443939  25627.772200  11265.0  33825.25   \n",
       "Avg_Credit_Limit     660.0  34574.242424  37625.487804   3000.0  10000.00   \n",
       "Total_Credit_Cards   660.0      4.706061      2.167835      1.0      3.00   \n",
       "Total_visits_bank    660.0      2.403030      1.631813      0.0      1.00   \n",
       "Total_visits_online  660.0      2.606061      2.935724      0.0      1.00   \n",
       "Total_calls_made     660.0      3.583333      2.865317      0.0      1.00   \n",
       "\n",
       "                         50%      75%       max  \n",
       "Customer Key         53874.5  77202.5   99843.0  \n",
       "Avg_Credit_Limit     18000.0  48000.0  200000.0  \n",
       "Total_Credit_Cards       5.0      6.0      10.0  \n",
       "Total_visits_bank        2.0      4.0       5.0  \n",
       "Total_visits_online      2.0      4.0      15.0  \n",
       "Total_calls_made         3.0      5.0      10.0  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe().T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#dropping the Customer Key column as it does not hold any statistical significance\n",
    "df.drop(['Customer Key'], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Insights:\n",
    "\n",
    "- Dropped the serial no. and Customer Key column as they are unique to each customr and do not hold any statistical significance.\n",
    "- Minimum avgerage credit limit of the customers is 300 and some customers have an average credit limit as high as 200000 which is very far from the mean, signifies there might be outliers present.\n",
    "- Some of the columns show 0 as minimum, it represent a real world trend, as some customers won't call or visit the bank.\n",
    "- Total credit cards possessed by customers ranges from 1 to 10"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <a id='link2'>Exploratory Data Analysis</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Univariate Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Writing a function to help create boxplot and histogram for any input numerical variable.\n",
    "# This function takes the numerical column as the input and returns the boxplots and histograms for the variable.\n",
    "\n",
    "def histogram_boxplot(feature, figsize=(12,7), bins = None):\n",
    "    f2, (ax_box2, ax_hist2) = plt.subplots(nrows = 2, sharex = True, figsize = figsize, \n",
    "                                           gridspec_kw = {\"height_ratios\": (.25, .75)})\n",
    "    sns.boxplot(feature, ax=ax_box2, showmeans=True, color='violet')\n",
    "    sns.distplot(feature, kde=True, ax=ax_hist2, bins=bins)\n",
    "    ax_hist2.axvline(np.mean(feature), color='green', linestyle='--')\n",
    "    ax_hist2.axvline(np.median(feature), color='black', linestyle='-')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Avg_Credit_Limit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "histogram_boxplot(df[\"Avg_Credit_Limit\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The distribution for the average credit limit is right-skewed \n",
    "- There are outliers present towards the high end which indicates that fewer customers have high credit limit.\n",
    "- Few of the customers have credit limit higher than 150000, but majority of the customers credit limit is lower than 35000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Total_Credit_Cards"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "histogram_boxplot(df[\"Total_Credit_Cards\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The mean and median are relatively close\n",
    "- Few of the customers have more than 8 credit cards\n",
    "- The boxplot shows there are no outliers present"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Total_visits_bank"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "histogram_boxplot(df[\"Total_visits_bank\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The distibution has no outlier\n",
    "- Maximum bank visit by a customer is 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Total_visits_online"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "histogram_boxplot(df[\"Total_visits_online\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The distribution for the Total_visits_online is right-skewed \n",
    "- There are outliers present towards the right end.\n",
    "- Most of the customers total online visit is less than 4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Total_calls_made"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "histogram_boxplot(df[\"Total_calls_made\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- There are no otliers present in the total calls made distribution\n",
    "- The maximum calls made by a customer is 10, and some of the customers didn't make any call."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# function to create labeled barplots\n",
    "\n",
    "\n",
    "def labeled_barplot(data, feature, perc=False, n=None):\n",
    "    \"\"\"\n",
    "    Barplot with percentage at the top\n",
    "\n",
    "    data: dataframe\n",
    "    feature: dataframe column\n",
    "    perc: whether to display percentages instead of count (default is False)\n",
    "    n: displays the top n category levels (default is None, i.e., display all levels)\n",
    "    \"\"\"\n",
    "\n",
    "    total = len(data[feature])  # length of the column\n",
    "    count = data[feature].nunique()\n",
    "    if n is None:\n",
    "        plt.figure(figsize=(count + 1, 5))\n",
    "    else:\n",
    "        plt.figure(figsize=(n + 1, 5))\n",
    "\n",
    "    plt.xticks(rotation=90, fontsize=15)\n",
    "    ax = sns.countplot(\n",
    "        data=data,\n",
    "        x=feature,\n",
    "        palette=\"Paired\",\n",
    "        order=data[feature].value_counts().index[:n].sort_values(),\n",
    "    )\n",
    "\n",
    "    for p in ax.patches:\n",
    "        if perc == True:\n",
    "            label = \"{:.1f}%\".format(\n",
    "                100 * p.get_height() / total\n",
    "            )  # percentage of each class of the category\n",
    "        else:\n",
    "            label = p.get_height()  # count of each level of the category\n",
    "\n",
    "        x = p.get_x() + p.get_width() / 2  # width of the plot\n",
    "        y = p.get_height()  # height of the plot\n",
    "\n",
    "        ax.annotate(\n",
    "            label,\n",
    "            (x, y),\n",
    "            ha=\"center\",\n",
    "            va=\"center\",\n",
    "            size=12,\n",
    "            xytext=(0, 5),\n",
    "            textcoords=\"offset points\",\n",
    "        )  # annotate the percentage\n",
    "\n",
    "    plt.show()  # show the plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# selecting numerical columns\n",
    "num_col = df.select_dtypes(include=np.number).columns.tolist()\n",
    "num_col1 = num_col.copy()\n",
    "num_col1.remove('Avg_Credit_Limit')\n",
    "\n",
    "for item in num_col1:\n",
    "    labeled_barplot(df, item, perc=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- More than 70% of the customers own more than 3 credit cards and less than 7% own more than 7 credit cards\n",
    "- More than 10% of customers never visited the bank and 14.8% visited the bank 5 times\n",
    "- 21.85 of the customers never visited or logged in to the online platform and less than 10% visited more than 6 times\n",
    "- 71.7% of the customers made at least 2 calls to the bank."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bivariate Analsysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Let's check for correlations.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x504 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 7))\n",
    "sns.heatmap(df.corr(), annot=True, vmin=-1, vmax=1, fmt=\".2f\", cmap=\"Spectral\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Total credit cards is moderately correlated to \"Avg credit limit\" and \"Total calls made\".\n",
    "- Total bank visit is negatively correlated to total online visits, which indicates that customers who visit online are most likely not going to visit the bank."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Let's scale the data set before we proceed to clustering.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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>Avg_Credit_Limit</th>\n",
       "      <th>Total_Credit_Cards</th>\n",
       "      <th>Total_visits_bank</th>\n",
       "      <th>Total_visits_online</th>\n",
       "      <th>Total_calls_made</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.740187</td>\n",
       "      <td>-1.249225</td>\n",
       "      <td>-0.860451</td>\n",
       "      <td>-0.547490</td>\n",
       "      <td>-1.251537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.410293</td>\n",
       "      <td>-0.787585</td>\n",
       "      <td>-1.473731</td>\n",
       "      <td>2.520519</td>\n",
       "      <td>1.891859</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.410293</td>\n",
       "      <td>1.058973</td>\n",
       "      <td>-0.860451</td>\n",
       "      <td>0.134290</td>\n",
       "      <td>0.145528</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.121665</td>\n",
       "      <td>0.135694</td>\n",
       "      <td>-0.860451</td>\n",
       "      <td>-0.547490</td>\n",
       "      <td>0.145528</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.740187</td>\n",
       "      <td>0.597334</td>\n",
       "      <td>-1.473731</td>\n",
       "      <td>3.202298</td>\n",
       "      <td>-0.203739</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Avg_Credit_Limit  Total_Credit_Cards  Total_visits_bank  \\\n",
       "0          1.740187           -1.249225          -0.860451   \n",
       "1          0.410293           -0.787585          -1.473731   \n",
       "2          0.410293            1.058973          -0.860451   \n",
       "3         -0.121665            0.135694          -0.860451   \n",
       "4          1.740187            0.597334          -1.473731   \n",
       "\n",
       "   Total_visits_online  Total_calls_made  \n",
       "0            -0.547490         -1.251537  \n",
       "1             2.520519          1.891859  \n",
       "2             0.134290          0.145528  \n",
       "3            -0.547490          0.145528  \n",
       "4             3.202298         -0.203739  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaler = StandardScaler()\n",
    "subset = df.copy()\n",
    "subset_scaled = scaler.fit_transform(subset)\n",
    "\n",
    "# Creating a dataframe from the scaled data\n",
    "subset_scaled_df = pd.DataFrame(subset_scaled, columns=subset.columns)\n",
    "subset_scaled_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## K-means Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Clusters: 1 \tAverage Distortion: 2.0069222262503614\n",
      "Number of Clusters: 2 \tAverage Distortion: 1.4571553548514269\n",
      "Number of Clusters: 3 \tAverage Distortion: 1.1466276549150365\n",
      "Number of Clusters: 4 \tAverage Distortion: 1.0463825294774465\n",
      "Number of Clusters: 5 \tAverage Distortion: 0.990772333470802\n",
      "Number of Clusters: 6 \tAverage Distortion: 0.9430843103448057\n",
      "Number of Clusters: 7 \tAverage Distortion: 0.9094290022428964\n",
      "Number of Clusters: 8 \tAverage Distortion: 0.8891380888508975\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Selecting k with the Elbow Method')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clusters = range(1, 9)\n",
    "meanDistortions = []\n",
    "\n",
    "for k in clusters:\n",
    "    model = KMeans(n_clusters=k)\n",
    "    model.fit(subset_scaled_df)\n",
    "    prediction = model.predict(subset_scaled_df)\n",
    "    distortion = (\n",
    "        sum(\n",
    "            np.min(cdist(subset_scaled_df, model.cluster_centers_, \"euclidean\"), axis=1)\n",
    "        )\n",
    "        / subset_scaled_df.shape[0]\n",
    "    )\n",
    "\n",
    "    meanDistortions.append(distortion)\n",
    "\n",
    "    print(\"Number of Clusters:\", k, \"\\tAverage Distortion:\", distortion)\n",
    "\n",
    "plt.plot(clusters, meanDistortions, \"bx-\")\n",
    "plt.xlabel(\"k\")\n",
    "plt.ylabel(\"Average Distortion\")\n",
    "plt.title(\"Selecting k with the Elbow Method\", fontsize=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Appropriate value for k seems to be 3 or 4.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Let's check the silhouette scores.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For n_clusters = 2, silhouette score is 0.41842496663230405\n",
      "For n_clusters = 3, silhouette score is 0.5157182558882754\n",
      "For n_clusters = 4, silhouette score is 0.355667061937737\n",
      "For n_clusters = 5, silhouette score is 0.2717470361094591\n",
      "For n_clusters = 6, silhouette score is 0.25601504934752495\n",
      "For n_clusters = 7, silhouette score is 0.24847804076958524\n",
      "For n_clusters = 8, silhouette score is 0.22612684771528263\n",
      "For n_clusters = 9, silhouette score is 0.21993804286766602\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sil_score = []\n",
    "cluster_list = list(range(2, 10))\n",
    "for n_clusters in cluster_list:\n",
    "    clusterer = KMeans(n_clusters=n_clusters)\n",
    "    preds = clusterer.fit_predict((subset_scaled_df))\n",
    "    # centers = clusterer.cluster_centers_\n",
    "    score = silhouette_score(subset_scaled_df, preds)\n",
    "    sil_score.append(score)\n",
    "    print(\"For n_clusters = {}, silhouette score is {}\".format(n_clusters, score))\n",
    "\n",
    "plt.plot(cluster_list, sil_score)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Silhouette score for 3 is higher than that for 4. So, we will choose 3 as value of k.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Silhouette Plot of KMeans Clustering for 660 Samples in 3 Centers'}, xlabel='silhouette coefficient values', ylabel='cluster label'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# finding optimal no. of clusters with silhouette coefficients\n",
    "visualizer = SilhouetteVisualizer(KMeans(3, random_state=1))\n",
    "visualizer.fit(subset_scaled_df)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Silhouette Plot of KMeans Clustering for 660 Samples in 4 Centers'}, xlabel='silhouette coefficient values', ylabel='cluster label'>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# finding optimal no. of clusters with silhouette coefficients\n",
    "visualizer = SilhouetteVisualizer(KMeans(4, random_state=1))\n",
    "visualizer.fit(subset_scaled_df)\n",
    "visualizer.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hierarchical Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cophenetic correlation for Euclidean distance and single linkage is 0.7391220243806552.\n",
      "Cophenetic correlation for Euclidean distance and complete linkage is 0.8599730607972423.\n",
      "Cophenetic correlation for Euclidean distance and average linkage is 0.8977080867389372.\n",
      "Cophenetic correlation for Euclidean distance and weighted linkage is 0.8861746814895477.\n",
      "Cophenetic correlation for Chebyshev distance and single linkage is 0.7382354769296767.\n",
      "Cophenetic correlation for Chebyshev distance and complete linkage is 0.8533474836336782.\n",
      "Cophenetic correlation for Chebyshev distance and average linkage is 0.8974159511838106.\n",
      "Cophenetic correlation for Chebyshev distance and weighted linkage is 0.8913624010768603.\n",
      "Cophenetic correlation for Mahalanobis distance and single linkage is 0.7058064784553605.\n",
      "Cophenetic correlation for Mahalanobis distance and complete linkage is 0.5422791209801747.\n",
      "Cophenetic correlation for Mahalanobis distance and average linkage is 0.8326994115042137.\n",
      "Cophenetic correlation for Mahalanobis distance and weighted linkage is 0.7805990615142517.\n",
      "Cophenetic correlation for Cityblock distance and single linkage is 0.7252379350252723.\n",
      "Cophenetic correlation for Cityblock distance and complete linkage is 0.8731477899179829.\n",
      "Cophenetic correlation for Cityblock distance and average linkage is 0.896329431104133.\n",
      "Cophenetic correlation for Cityblock distance and weighted linkage is 0.8825520731498188.\n"
     ]
    }
   ],
   "source": [
    "# list of distance metrics\n",
    "distance_metrics = [\"euclidean\", \"chebyshev\", \"mahalanobis\", \"cityblock\"]\n",
    "\n",
    "# list of linkage methods\n",
    "linkage_methods = [\"single\", \"complete\", \"average\", \"weighted\"] \n",
    "\n",
    "# \"centroid\" and \"ward\" wer not included because they both need the distance to be in euclidean\n",
    "\n",
    "high_cophenet_corr = 0\n",
    "high_dm_lm = [0, 0]\n",
    "\n",
    "for dm in distance_metrics:\n",
    "    for lm in linkage_methods:\n",
    "        Z = linkage(subset_scaled_df, metric=dm, method=lm)\n",
    "        c, coph_dists = cophenet(Z, pdist(subset_scaled_df))\n",
    "        print(\n",
    "            \"Cophenetic correlation for {} distance and {} linkage is {}.\".format(\n",
    "                dm.capitalize(), lm, c\n",
    "            )\n",
    "        )\n",
    "        if high_cophenet_corr < c:\n",
    "            high_cophenet_corr = c\n",
    "            high_dm_lm[0] = dm\n",
    "            high_dm_lm[1] = lm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Highest cophenetic correlation is 0.8977080867389372, which is obtained with Euclidean distance and average linkage."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Let's explore different linkage methods with Euclidean distance only.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cophenetic correlation for single linkage is 0.7391220243806552.\n",
      "Cophenetic correlation for complete linkage is 0.8599730607972423.\n",
      "Cophenetic correlation for average linkage is 0.8977080867389372.\n",
      "Cophenetic correlation for centroid linkage is 0.8939385846326323.\n",
      "Cophenetic correlation for ward linkage is 0.7415156284827493.\n",
      "Cophenetic correlation for weighted linkage is 0.8861746814895477.\n"
     ]
    }
   ],
   "source": [
    "# list of linkage methods\n",
    "linkage_methods = [\"single\", \"complete\", \"average\", \"centroid\", \"ward\", \"weighted\"]\n",
    "\n",
    "high_cophenet_corr = 0\n",
    "high_dm_lm = [0, 0]\n",
    "\n",
    "for lm in linkage_methods:\n",
    "    Z = linkage(subset_scaled_df, metric=\"euclidean\", method=lm)\n",
    "    c, coph_dists = cophenet(Z, pdist(subset_scaled_df))\n",
    "    print(\"Cophenetic correlation for {} linkage is {}.\".format(lm, c))\n",
    "    if high_cophenet_corr < c:\n",
    "        high_cophenet_corr = c\n",
    "        high_dm_lm[0] = \"euclidean\"\n",
    "        high_dm_lm[1] = lm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* We see that the cophenetic correlation is still maximum with the average linkage with a score of 0.8977080867389372."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Let's see the dendrograms for the different linkage methods.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x2160 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# list of linkage methods\n",
    "linkage_methods = [\"single\", \"complete\", \"average\", \"centroid\", \"ward\", \"weighted\"]\n",
    "\n",
    "# lists to save results of cophenetic correlation calculation\n",
    "compare_cols = [\"Linkage\", \"Cophenetic Coefficient\"]\n",
    "\n",
    "# to create a subplot image\n",
    "fig, axs = plt.subplots(len(linkage_methods), 1, figsize=(15, 30))\n",
    "\n",
    "# We will enumerate through the list of linkage methods above\n",
    "# For each linkage method, we will plot the dendrogram and calculate the cophenetic correlation\n",
    "for i, method in enumerate(linkage_methods):\n",
    "    Z = linkage(subset_scaled_df, metric=\"euclidean\", method=method)\n",
    "\n",
    "    dendrogram(Z, ax=axs[i])\n",
    "    axs[i].set_title(f\"Dendrogram ({method.capitalize()} Linkage)\")\n",
    "\n",
    "    coph_corr, coph_dist = cophenet(Z, pdist(subset_scaled_df))\n",
    "    axs[i].annotate(\n",
    "        f\"Cophenetic\\nCorrelation\\n{coph_corr:0.2f}\",\n",
    "        (0.80, 0.80),\n",
    "        xycoords=\"axes fraction\",\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Observations**\n",
    "\n",
    "- The cophenetic correlation is highest for average linkage method.\n",
    "- We will move ahead with average linkage.\n",
    "- 4 appears to be the appropriate number of clusters from the dendrogram for average linkage."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# let's take 3 as number of K-means clusters\n",
    "kmeans = KMeans(n_clusters=3, random_state=0)\n",
    "kmeans.fit(subset_scaled_df)\n",
    "\n",
    "# adding kmeans cluster labels to the original dataframe\n",
    "df1 = df.copy() #Making a copy of the original data\n",
    "df1[\"K_means_segments\"] = kmeans.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# let's take 4 as number of hierarchical clusters\n",
    "HCmodel = AgglomerativeClustering(n_clusters=4, affinity=\"euclidean\", linkage=\"average\")\n",
    "HCmodel.fit(subset_scaled_df)\n",
    "\n",
    "# adding Hierarchical cluster labels to the original dataframe\n",
    "df2 = df.copy() #Making a copy of the original data\n",
    "df2[\"HC_Clusters\"] = HCmodel.labels_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparing clusters from K-means and Hierarchical Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In cluster 0, the following countries are present:\n",
      "[100000  50000  30000  10000   8000  17000  19000  20000  13000  16000\n",
      "  12000   5000   7000  11000   9000  18000   6000  15000  14000  73000\n",
      "  49000  67000  61000  75000  48000  56000  72000  70000  51000  69000\n",
      "  40000  44000  31000  37000  65000  46000  74000  58000  39000  52000\n",
      "  33000  47000  71000  41000  59000  64000  45000  54000  66000  27000\n",
      "  43000  36000  25000  57000  26000  38000  35000  34000  28000  63000\n",
      "  29000  68000  42000  62000  32000  60000  55000]\n",
      "\n",
      "In cluster 1, the following countries are present:\n",
      "[50000 20000 15000  5000  3000 10000 13000 11000  9000  6000  8000 19000\n",
      " 16000 18000 17000 14000 12000  7000]\n",
      "\n",
      "In cluster 2, the following countries are present:\n",
      "[100000 157000  94000 163000 131000  96000 136000 121000 158000 108000\n",
      " 166000 176000 178000  91000 156000 146000  84000 155000 200000 195000\n",
      " 187000 106000 114000 126000 173000 153000 184000 123000 144000  97000\n",
      "  98000 127000 171000 186000 183000 111000 112000 132000  95000 172000\n",
      "  99000 145000 167000]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# let's see the number of Avg_Credit_Limits present in each K-means cluster\n",
    "\n",
    "for cl in df1[\"K_means_segments\"].unique():\n",
    "    print(\"In cluster {}, the following countries are present:\".format(cl))\n",
    "    print(df1[df1[\"K_means_segments\"] == cl][\"Avg_Credit_Limit\"].unique())\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In cluster 3, the following countries are present:\n",
      "[100000]\n",
      "\n",
      "In cluster 0, the following countries are present:\n",
      "[50000 20000 15000  5000  3000 10000 13000 11000  9000  6000  8000 19000\n",
      " 16000 18000 17000 14000 12000  7000]\n",
      "\n",
      "In cluster 2, the following countries are present:\n",
      "[50000 30000 10000  8000 17000 19000 20000 13000 16000 12000  5000  7000\n",
      " 11000  9000 18000  6000 15000 14000 73000 49000 67000 61000 75000 48000\n",
      " 56000 72000 70000 51000 69000 40000 44000 31000 37000 65000 46000 74000\n",
      " 58000 39000 52000 33000 47000 71000 41000 59000 64000 45000 54000 66000\n",
      " 27000 43000 36000 25000 57000 26000 38000 35000 34000 28000 63000 29000\n",
      " 68000 42000 62000 32000 60000 55000]\n",
      "\n",
      "In cluster 1, the following countries are present:\n",
      "[100000 157000  94000 163000 131000  96000 136000 121000 158000 108000\n",
      " 166000 176000 178000  91000 156000 146000  84000 155000 200000 195000\n",
      " 187000 106000 114000 126000 173000 153000 184000 123000 144000  97000\n",
      "  98000 127000 171000 186000 183000 111000 112000 132000  95000 172000\n",
      "  99000 145000 167000]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# let's see the number of Avg_Credit_Limits present in each Hierarchical cluster\n",
    "\n",
    "for cl in df2[\"HC_Clusters\"].unique():\n",
    "    print(\"In cluster {}, the following countries are present:\".format(cl))\n",
    "    print(df2[df2[\"HC_Clusters\"] == cl][\"Avg_Credit_Limit\"].unique())\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- We see that there are 2 similar clusters in both techniques and the 4th cluster in the hierarchical technique only has 1 avg credit limit present, which is the ony difference from both techniques."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cluster Profiling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### K-means Cluster Profiling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_profile_kmeans = df1.groupby(\"K_means_segments\").mean()\n",
    "\n",
    "cluster_profile_kmeans[\"count_in_each_segment\"] = (\n",
    "    df1.groupby(\"K_means_segments\")[\"Avg_Credit_Limit\"].count().values\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "#T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col2,#T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col5,#T_7f18c2f4_1c24_11ec_9dd9_2837372105earow1_col4,#T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col0,#T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col1,#T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col3{\n",
       "            background-color:  lightgreen;\n",
       "        }</style><table id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105ea\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Avg_Credit_Limit</th>        <th class=\"col_heading level0 col1\" >Total_Credit_Cards</th>        <th class=\"col_heading level0 col2\" >Total_visits_bank</th>        <th class=\"col_heading level0 col3\" >Total_visits_online</th>        <th class=\"col_heading level0 col4\" >Total_calls_made</th>        <th class=\"col_heading level0 col5\" >count_in_each_segment</th>    </tr>    <tr>        <th class=\"index_name level0\" >K_means_segments</th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105ealevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col0\" class=\"data row0 col0\" >33782.383420</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col1\" class=\"data row0 col1\" >5.515544</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col2\" class=\"data row0 col2\" >3.489637</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col3\" class=\"data row0 col3\" >0.981865</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col4\" class=\"data row0 col4\" >2.000000</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow0_col5\" class=\"data row0 col5\" >386</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105ealevel0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow1_col0\" class=\"data row1 col0\" >12174.107143</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow1_col1\" class=\"data row1 col1\" >2.410714</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow1_col2\" class=\"data row1 col2\" >0.933036</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow1_col3\" class=\"data row1 col3\" >3.553571</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow1_col4\" class=\"data row1 col4\" >6.870536</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow1_col5\" class=\"data row1 col5\" >224</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105ealevel0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col0\" class=\"data row2 col0\" >141040.000000</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col1\" class=\"data row2 col1\" >8.740000</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col2\" class=\"data row2 col2\" >0.600000</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col3\" class=\"data row2 col3\" >10.900000</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col4\" class=\"data row2 col4\" >1.080000</td>\n",
       "                        <td id=\"T_7f18c2f4_1c24_11ec_9dd9_2837372105earow2_col5\" class=\"data row2 col5\" >50</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x13bc5e550>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's display cluster profiles\n",
    "cluster_profile_kmeans.style.highlight_max(color=\"lightgreen\", axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 5, figsize=(16, 6))\n",
    "fig.suptitle(\"Boxplot of numerical variables for each cluster\")\n",
    "counter = 0\n",
    "for ii in range(5):\n",
    "    sns.boxplot(ax=axes[ii], y=df1[num_col[counter]], x=df1[\"K_means_segments\"])\n",
    "    counter = counter + 1\n",
    "\n",
    "fig.tight_layout(pad=2.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Hierarchichal Cluster Profiling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster_profile_hc = df2.groupby(\"HC_Clusters\").mean()\n",
    "\n",
    "cluster_profile_hc[\"count_in_each_segments\"] = (\n",
    "    df2.groupby(\"HC_Clusters\")[\"Avg_Credit_Limit\"].count().values\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "#T_7fcfec22_1c24_11ec_9dd9_2837372105earow0_col4,#T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col0,#T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col1,#T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col3,#T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col2,#T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col5{\n",
       "            background-color:  lightgreen;\n",
       "        }</style><table id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105ea\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Avg_Credit_Limit</th>        <th class=\"col_heading level0 col1\" >Total_Credit_Cards</th>        <th class=\"col_heading level0 col2\" >Total_visits_bank</th>        <th class=\"col_heading level0 col3\" >Total_visits_online</th>        <th class=\"col_heading level0 col4\" >Total_calls_made</th>        <th class=\"col_heading level0 col5\" >count_in_each_segments</th>    </tr>    <tr>        <th class=\"index_name level0\" >HC_Clusters</th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105ealevel0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow0_col0\" class=\"data row0 col0\" >12197.309417</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow0_col1\" class=\"data row0 col1\" >2.403587</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow0_col2\" class=\"data row0 col2\" >0.928251</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow0_col3\" class=\"data row0 col3\" >3.560538</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow0_col4\" class=\"data row0 col4\" >6.883408</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow0_col5\" class=\"data row0 col5\" >223</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105ealevel0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col0\" class=\"data row1 col0\" >141040.000000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col1\" class=\"data row1 col1\" >8.740000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col2\" class=\"data row1 col2\" >0.600000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col3\" class=\"data row1 col3\" >10.900000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col4\" class=\"data row1 col4\" >1.080000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow1_col5\" class=\"data row1 col5\" >50</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105ealevel0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col0\" class=\"data row2 col0\" >33541.450777</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col1\" class=\"data row2 col1\" >5.520725</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col2\" class=\"data row2 col2\" >3.492228</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col3\" class=\"data row2 col3\" >0.984456</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col4\" class=\"data row2 col4\" >2.010363</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow2_col5\" class=\"data row2 col5\" >386</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105ealevel0_row3\" class=\"row_heading level0 row3\" >3</th>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow3_col0\" class=\"data row3 col0\" >100000.000000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow3_col1\" class=\"data row3 col1\" >2.000000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow3_col2\" class=\"data row3 col2\" >1.000000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow3_col3\" class=\"data row3 col3\" >1.000000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow3_col4\" class=\"data row3 col4\" >0.000000</td>\n",
       "                        <td id=\"T_7fcfec22_1c24_11ec_9dd9_2837372105earow3_col5\" class=\"data row3 col5\" >1</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x13bc62fd0>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's display cluster profiles\n",
    "cluster_profile_hc.style.highlight_max(color=\"lightgreen\", axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 5, figsize=(16, 6))\n",
    "fig.suptitle(\"Boxplot of numerical variables for each cluster\")\n",
    "counter = 0\n",
    "for ii in range(5):\n",
    "    sns.boxplot(ax=axes[ii], y=df2[num_col[counter]], x=df2[\"HC_Clusters\"])\n",
    "    counter = counter + 1\n",
    "\n",
    "fig.tight_layout(pad=2.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Some clusters from both techniques are similar**\n",
    "\n",
    "### K-means Cluster Profiling Insights\n",
    "\n",
    "- **Cluster 0**:\n",
    "    - Average credit limit in this cluster ranges between 5000 to 10000.\n",
    "    - Total credit cards possessed by customers in this cluster is averaged at approximately 4.\n",
    "    - Majority of the customers visit the bank more than 3 times and make an average of 2 calls to the bank.\n",
    "    - Some customers in this cluster don't utilize the online platform while some visit the online platform twice or less.\n",
    "\n",
    "\n",
    "- **Cluster 1**:\n",
    "    - Majority's average credit limit ranges between 3000 to 20000. There is an outlier of 50000.\n",
    "    - Customers in this cluster possess between 1 to 4 credit cards.\n",
    "    - Customers in this cluster prefer calling the bank, have a maximum bank visit of 2 and total online visit ranges from 1 to 5.\n",
    "\n",
    "\n",
    "- **Cluster 2**:\n",
    "    - Average credit limit in this cluster ranges between 84000 to 200000.\n",
    "    - Customers in this cluster own as much as 10 credit cards and are less likely going to visit the bank.\n",
    "    - Customers make less calls to the bank and utilizes the online platform more that the other two clusters.\n",
    "    \n",
    "### Hierarchichal Cluster Profiling Insights\n",
    "\n",
    "- **Cluster 0**\n",
    "   - This cluster is similar to cluster 1 in the k-means cluster\n",
    "   \n",
    "- **Cluster 1**\n",
    "   - This cluster is similar to cluster 2 in the k-means cluster\n",
    "   \n",
    "- **Cluster 2**\n",
    "   - Average credit limit in this cluster ranges between 5000 to 75000.\n",
    "   - Majority of the customers possess between 4 to 6 credit cards and very few possess above 6\n",
    "   - Few of the customers visit the bank less than 3 times and majority visit the bank between 3 to 5 times\n",
    "   - Most customers in this cluster visit the online platform less than 2 times and make an average of 2 calls to the bank\n",
    "- **Cluster 3**\n",
    "   - This cluster have only 1 customer with an average credit limit of 100000 and possess 2 credit cards \n",
    "   - Customer visited the bank/online once and didn't make any call to the bank."
   ]
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    "## Business Recommendations\n",
    "\n",
    "- K-means and Hierarchical clustering algorithms were utilized  to identify different segments in the existing bank customers, based on their spending patterns and past interaction with the bank. \n",
    "- K-means clustering gave a better customers segmentation which consists of 3 clusters. \n",
    "- **Cluster 2** consists of premium customers with very high average credit limit, possess the most credit cards and they utilize the online platform more, so personalized marketing campaigns can be done to target this customers’ by running an ad when they login to their account and improvement feedback ratings can be optionally requested from this customers’ when they log off their account to help the bank know how to better service them.\n",
    "- **Cluster 1** consists of customers with relatively low average credit limits, possess less than 5 credit cards and make the highest calls to the bank. The bank should work on reducing the wait time for calls and send a feedback survey to the customers’ phone once they get off the call to get feedback on how well they receive the service rendered also, an option for what they need improvement should be included.\n",
    "- **Cluster 0** consists of customers whom their average credit limit ranges between 5000 to 100000, possess either 4 or less than 4 credit cards. Most customers in this cluster visit the bank more, the bank can implement training their employees to improve their customer relationship to better service customers in this cluster, also pamphlet containing information about new products should be readily available and handed to the customers once they are about leaving the bank."
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