Market Basket Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Market Basket Analysis for E-commerce "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Project Description:**\n",
    "This project focuses on conducting a Market Basket Analysis for an e-commerce retail company using Python. Market Basket Analysis is a powerful technique used in retail and e-commerce to uncover patterns in customer purchasing behaviour. By analysing transaction data, the project aims to identify which products are often bought together, providing valuable insights for improving sales strategies and customer satisfaction.\n",
    "\n",
    "**Key Steps in the Project:**\n",
    "1. **Data Preparation:** Loading and preprocessing the dataset containing customer transactions.\n",
    "2. **Exploratory Data Analysis (EDA):** Exploring the dataset to understand its structure, data types, missing values and summary statistics.\n",
    "3. **Market Basket Analysis:** Applying the Apriori algorithm to identify frequent itemsets and association rules from the transaction data.\n",
    "4. **Visualisation:** Visualising the most frequent items and association rules to gain insights from the data.\n",
    "5. **Interpretation and Insights:** Analysing the association rules to uncover patterns and understand customer purchasing behavior.\n",
    "6. **Recommendations:** Providing recommendations based on the insights obtained from the analysis, such as product bundling or promotional strategies.\n",
    "7. **Presentation:** Summarizing the findings, insights and recommendations in a clear and concise presentation or report for stakeholders.\n",
    "\n",
    "By following these steps, the project aims to introduce the concept of Market Basket Analysis and demonstrate its practical application in optimising business strategies for the retail and e-commerce industry.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 1: Data Preparation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import necessary libraries\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the dataset\n",
    "data = pd.read_csv('Market Basket Analysis - Groceries_dataset.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   Member_number        Date   itemDescription\n",
      "0           1808  21-07-2015    tropical fruit\n",
      "1           2552  05-01-2015        whole milk\n",
      "2           2300  19-09-2015         pip fruit\n",
      "3           1187  12-12-2015  other vegetables\n",
      "4           3037  01-02-2015        whole milk\n"
     ]
    }
   ],
   "source": [
    "# Check the first few rows of the dataset to understand its structure\n",
    "print(data.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Basic information about the dataset:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 38765 entries, 0 to 38764\n",
      "Data columns (total 3 columns):\n",
      " #   Column           Non-Null Count  Dtype \n",
      "---  ------           --------------  ----- \n",
      " 0   Member_number    38765 non-null  int64 \n",
      " 1   Date             38765 non-null  object\n",
      " 2   itemDescription  38765 non-null  object\n",
      "dtypes: int64(1), object(2)\n",
      "memory usage: 908.7+ KB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "# Check basic information about the dataset\n",
    "print(\"\\nBasic information about the dataset:\")\n",
    "print(data.info())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Preprocessing: Convert 'Member_number' to string and 'Date' to datetime format\n",
    "data['Member_number'] = data['Member_number'].astype(str)\n",
    "data['Date'] = pd.to_datetime(data['Date'], format='%d-%m-%Y')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2: Exploratory Data Analysis (EDA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of the dataset: (38765, 3)\n",
      "\n",
      "Columns in the dataset: Index(['Member_number', 'Date', 'itemDescription'], dtype='object')\n"
     ]
    }
   ],
   "source": [
    "# Explore the shape and structure of the dataset\n",
    "print(\"Shape of the dataset:\", data.shape)\n",
    "print(\"\\nColumns in the dataset:\", data.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Data types and missing values:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 38765 entries, 0 to 38764\n",
      "Data columns (total 3 columns):\n",
      " #   Column           Non-Null Count  Dtype         \n",
      "---  ------           --------------  -----         \n",
      " 0   Member_number    38765 non-null  object        \n",
      " 1   Date             38765 non-null  datetime64[ns]\n",
      " 2   itemDescription  38765 non-null  object        \n",
      "dtypes: datetime64[ns](1), object(2)\n",
      "memory usage: 908.7+ KB\n",
      "None\n",
      "\n",
      "Summary statistics of numerical columns:\n",
      "       Member_number                 Date itemDescription\n",
      "count          38765                38765           38765\n",
      "unique          3898                  728             167\n",
      "top             3180  2015-01-21 00:00:00      whole milk\n",
      "freq              36                   96            2502\n",
      "first            NaN  2014-01-01 00:00:00             NaN\n",
      "last             NaN  2015-12-30 00:00:00             NaN\n",
      "\n",
      "Missing values in the dataset:\n",
      "Member_number      0\n",
      "Date               0\n",
      "itemDescription    0\n",
      "dtype: int64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\USER\\AppData\\Local\\Temp\\ipykernel_15844\\2962456495.py:7: FutureWarning: Treating datetime data as categorical rather than numeric in `.describe` is deprecated and will be removed in a future version of pandas. Specify `datetime_is_numeric=True` to silence this warning and adopt the future behavior now.\n",
      "  print(data.describe())\n"
     ]
    }
   ],
   "source": [
    "# Check data types and missing values\n",
    "print(\"\\nData types and missing values:\")\n",
    "print(data.info())\n",
    "\n",
    "# Summary statistics of numerical columns\n",
    "print(\"\\nSummary statistics of numerical columns:\")\n",
    "print(data.describe())\n",
    "\n",
    "# Check for any missing values\n",
    "print(\"\\nMissing values in the dataset:\")\n",
    "print(data.isnull().sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No numerical variables found to plot.\n"
     ]
    }
   ],
   "source": [
    "# Visualizing the structure of the dataset using pairplot (if applicable)\n",
    "import seaborn as sns\n",
    "\n",
    "# Check if there are numerical variables to plot\n",
    "numeric_columns = data.select_dtypes(include=['int64', 'float64']).columns\n",
    "if len(numeric_columns) > 0:\n",
    "    sns.pairplot(data[numeric_columns])\n",
    "    plt.show()\n",
    "else:\n",
    "    print(\"No numerical variables found to plot.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 3: Market Basket Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda Feenah\\lib\\site-packages\\mlxtend\\frequent_patterns\\fpcommon.py:109: DeprecationWarning: DataFrames with non-bool types result in worse computationalperformance and their support might be discontinued in the future.Please use a DataFrame with bool type\n",
      "  warnings.warn(\n"
     ]
    }
   ],
   "source": [
    "# Step 3: Market Basket Analysis\n",
    "\n",
    "# Import necessary libraries\n",
    "from mlxtend.frequent_patterns import apriori\n",
    "from mlxtend.frequent_patterns import association_rules\n",
    "\n",
    "# Data Preparation: Loading and preprocessing the dataset containing customer transactions\n",
    "data['uniqueTransaction'] = data['Member_number'] + '_' + data['Date'].astype(str)\n",
    "basket = pd.crosstab(data['uniqueTransaction'], data['itemDescription'])\n",
    "apriori_df = basket.applymap(lambda x: 1 if x > 0 else 0)\n",
    "\n",
    "# Generating frequent itemsets using the Apriori algorithm\n",
    "frequent_itemsets = apriori(apriori_df, min_support=0.005, use_colnames=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Top 10 Association Rules:\n",
      "           antecedents         consequents  antecedent support  \\\n",
      "9        (frankfurter)  (other vegetables)            0.037760   \n",
      "8   (other vegetables)       (frankfurter)            0.122101   \n",
      "35            (yogurt)           (sausage)            0.085879   \n",
      "34           (sausage)            (yogurt)            0.060349   \n",
      "30           (sausage)              (soda)            0.060349   \n",
      "31              (soda)           (sausage)            0.097106   \n",
      "0         (whole milk)      (bottled beer)            0.157923   \n",
      "1       (bottled beer)        (whole milk)            0.045312   \n",
      "32           (sausage)        (whole milk)            0.060349   \n",
      "33        (whole milk)           (sausage)            0.157923   \n",
      "\n",
      "    consequent support   support  confidence      lift  leverage  conviction  \\\n",
      "9             0.122101  0.005146    0.136283  1.116150  0.000536    1.016420   \n",
      "8             0.037760  0.005146    0.042146  1.116150  0.000536    1.004579   \n",
      "35            0.060349  0.005748    0.066926  1.108986  0.000565    1.007049   \n",
      "34            0.085879  0.005748    0.095238  1.108986  0.000565    1.010345   \n",
      "30            0.097106  0.005948    0.098560  1.014975  0.000088    1.001613   \n",
      "31            0.060349  0.005948    0.061253  1.014975  0.000088    1.000963   \n",
      "0             0.045312  0.007151    0.045281  0.999330 -0.000005    0.999968   \n",
      "1             0.157923  0.007151    0.157817  0.999330 -0.000005    0.999874   \n",
      "32            0.157923  0.008955    0.148394  0.939663 -0.000575    0.988811   \n",
      "33            0.060349  0.008955    0.056708  0.939663 -0.000575    0.996140   \n",
      "\n",
      "    zhangs_metric  \n",
      "9        0.108146  \n",
      "8        0.118536  \n",
      "35       0.107508  \n",
      "34       0.104587  \n",
      "30       0.015702  \n",
      "31       0.016341  \n",
      "0       -0.000795  \n",
      "1       -0.000702  \n",
      "32      -0.063965  \n",
      "33      -0.070851  \n"
     ]
    }
   ],
   "source": [
    "# Generating association rules\n",
    "rules = association_rules(frequent_itemsets, metric=\"lift\")\n",
    "\n",
    "# Sorting the rules by lift\n",
    "rules = rules.sort_values(by='lift', ascending=False)\n",
    "\n",
    "# Displaying the top association rules\n",
    "print(\"Top 10 Association Rules:\")\n",
    "print(rules.head(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 4: Visualisation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 2000x2000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualizing association rules heatmap\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Creating a matrix of product associations\n",
    "product_associations = rules.pivot(index='antecedents', columns='consequents', values='zhangs_metric').fillna(0)\n",
    "\n",
    "# Create a heatmap\n",
    "plt.figure(figsize=(20, 20))\n",
    "sns.heatmap(product_associations, annot=True, cmap=\"PuBu\", fmt=\".1f\", linewidths=.5)\n",
    "plt.title(\"Frequently Bought Together - Association Rules Heatmap\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualizing top 10 frequent itemsets\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# Plotting top 10 frequent items\n",
    "plt.figure(figsize=(10, 6))\n",
    "sns.barplot(x='support', y='itemsets', data=frequent_itemsets.head(10))\n",
    "plt.title('Top 10 Frequent Items')\n",
    "plt.xlabel('Support')\n",
    "plt.ylabel('Itemsets')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualizing scatter plot of association rules\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(rules['support'], rules['confidence'], c=rules['lift'], cmap='viridis', alpha=0.5)\n",
    "plt.title('Association Rules')\n",
    "plt.xlabel('Support')\n",
    "plt.ylabel('Confidence')\n",
    "plt.colorbar(label='Lift')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5: Interpretation and Insights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Step 5: Interpretation and Insights\n",
    "\n",
    "# I used Zhang's metric in my visualization because it combines support, confidence, and lift into a single measure.\n",
    "# A negative value suggests that the occurrence of the antecedent reduces the likelihood of the consequent.\n",
    "# A positive value suggests the opposite.\n",
    "\n",
    "# Taking pairs with positive Zhang's metric in a separate dataframe\n",
    "pos_pair = rules[rules['zhangs_metric'] > 0]\n",
    "\n",
    "# Creating a matrix of product associations for positive pairs\n",
    "pos_association = pos_pair.pivot(index='antecedents', columns='consequents', values='zhangs_metric').fillna(0)\n",
    "\n",
    "# Creating a heatmap for positive associations\n",
    "plt.figure(figsize=(10, 7))\n",
    "sns.heatmap(pos_association, annot=True, cmap=\"PuBu\", fmt=\".2f\", linewidths=.5)\n",
    "plt.title(\"Frequently Bought Together - Association Rules Heatmap (Positive)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5: Interpretation and Insights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Top 10 Association Rules:\n",
      "           antecedents         consequents  antecedent support  \\\n",
      "9        (frankfurter)  (other vegetables)            0.037760   \n",
      "8   (other vegetables)       (frankfurter)            0.122101   \n",
      "35            (yogurt)           (sausage)            0.085879   \n",
      "34           (sausage)            (yogurt)            0.060349   \n",
      "30           (sausage)              (soda)            0.060349   \n",
      "31              (soda)           (sausage)            0.097106   \n",
      "0         (whole milk)      (bottled beer)            0.157923   \n",
      "1       (bottled beer)        (whole milk)            0.045312   \n",
      "32           (sausage)        (whole milk)            0.060349   \n",
      "33        (whole milk)           (sausage)            0.157923   \n",
      "\n",
      "    consequent support   support  confidence      lift  leverage  conviction  \\\n",
      "9             0.122101  0.005146    0.136283  1.116150  0.000536    1.016420   \n",
      "8             0.037760  0.005146    0.042146  1.116150  0.000536    1.004579   \n",
      "35            0.060349  0.005748    0.066926  1.108986  0.000565    1.007049   \n",
      "34            0.085879  0.005748    0.095238  1.108986  0.000565    1.010345   \n",
      "30            0.097106  0.005948    0.098560  1.014975  0.000088    1.001613   \n",
      "31            0.060349  0.005948    0.061253  1.014975  0.000088    1.000963   \n",
      "0             0.045312  0.007151    0.045281  0.999330 -0.000005    0.999968   \n",
      "1             0.157923  0.007151    0.157817  0.999330 -0.000005    0.999874   \n",
      "32            0.157923  0.008955    0.148394  0.939663 -0.000575    0.988811   \n",
      "33            0.060349  0.008955    0.056708  0.939663 -0.000575    0.996140   \n",
      "\n",
      "    zhangs_metric  \n",
      "9        0.108146  \n",
      "8        0.118536  \n",
      "35       0.107508  \n",
      "34       0.104587  \n",
      "30       0.015702  \n",
      "31       0.016341  \n",
      "0       -0.000795  \n",
      "1       -0.000702  \n",
      "32      -0.063965  \n",
      "33      -0.070851  \n"
     ]
    }
   ],
   "source": [
    "# Step 5: Interpretation and Insights\n",
    "\n",
    "# Analyzing the association rules to uncover patterns and understand customer purchasing behavior\n",
    "\n",
    "# Displaying the top association rules\n",
    "print(\"Top 10 Association Rules:\")\n",
    "print(rules.head(10))\n",
    "\n",
    "# You can further analyze the association rules to uncover patterns and understand customer purchasing behavior\n",
    "# For example, you can identify frequently co-occurring items and suggest product bundling or promotional strategies\n",
    "# Additionally, you can explore the lift, support, and confidence values to understand the strength and significance of the association rules\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5: Interpretation and Insights (Part 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Top 10 Frequent Co-Occurring Items:\n",
      "           antecedents         consequents   support\n",
      "26        (whole milk)        (rolls/buns)  0.013968\n",
      "27        (rolls/buns)        (whole milk)  0.013968\n",
      "43            (yogurt)        (whole milk)  0.011161\n",
      "42        (whole milk)            (yogurt)  0.011161\n",
      "17              (soda)  (other vegetables)  0.009691\n",
      "16  (other vegetables)              (soda)  0.009691\n",
      "32           (sausage)        (whole milk)  0.008955\n",
      "33        (whole milk)           (sausage)  0.008955\n",
      "28            (yogurt)        (rolls/buns)  0.007819\n",
      "29        (rolls/buns)            (yogurt)  0.007819\n"
     ]
    }
   ],
   "source": [
    "# Further analysis: Identify frequently co-occurring items\n",
    "frequent_items = rules[['antecedents', 'consequents', 'support']].sort_values(by='support', ascending=False)\n",
    "print(\"\\nTop 10 Frequent Co-Occurring Items:\")\n",
    "print(frequent_items.head(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5: Interpretation and Insights (Part 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Statistics of Association Rules:\n",
      "         support  confidence       lift\n",
      "count  44.000000   44.000000  44.000000\n",
      "mean    0.006862    0.085516   0.887557\n",
      "std     0.002230    0.039420   0.092886\n",
      "min     0.005012    0.031739   0.804028\n",
      "25%     0.005347    0.049096   0.817302\n",
      "50%     0.006015    0.079623   0.853165\n",
      "75%     0.007151    0.128644   0.913926\n",
      "max     0.013968    0.157817   1.116150\n"
     ]
    }
   ],
   "source": [
    "# Further analysis: Analyze lift, support, and confidence values\n",
    "print(\"\\nStatistics of Association Rules:\")\n",
    "print(rules[['support', 'confidence', 'lift']].describe())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5: Interpretation and Insights (Part 4)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1200x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Further analysis: Visualize lift, support, and confidence values\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.subplot(1, 3, 1)\n",
    "sns.histplot(rules['lift'], bins=20, kde=True, color='skyblue')\n",
    "plt.title('Distribution of Lift')\n",
    "\n",
    "plt.subplot(1, 3, 2)\n",
    "sns.histplot(rules['support'], bins=20, kde=True, color='salmon')\n",
    "plt.title('Distribution of Support')\n",
    "\n",
    "plt.subplot(1, 3, 3)\n",
    "sns.histplot(rules['confidence'], bins=20, kde=True, color='green')\n",
    "plt.title('Distribution of Confidence')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 6: Recommendations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Product Bundling Recommendations:\n",
      "Consider offering bundled deals for frequently co-occurring items to incentivize customers to purchase them together.\n",
      "\n",
      "Promotional Strategy Recommendations:\n",
      "Leverage association rules to design targeted promotions or discounts on items frequently purchased together, increasing overall sales.\n",
      "\n",
      "Cross-Selling Opportunities:\n",
      "Identify items frequently purchased together and suggest complementary products to customers during checkout or via email marketing campaigns, increasing average order value.\n"
     ]
    }
   ],
   "source": [
    "# Recommendations based on the insights obtained from the analysis\n",
    "\n",
    "# Example 1: Product Bundling\n",
    "# Identify frequently co-occurring items and create bundled offers to encourage customers to purchase them together\n",
    "print(\"Product Bundling Recommendations:\")\n",
    "print(\"Consider offering bundled deals for frequently co-occurring items to incentivize customers to purchase them together.\")\n",
    "\n",
    "# Example 2: Promotional Strategies\n",
    "# Use association rules to design targeted promotions or discounts on items frequently purchased together\n",
    "print(\"\\nPromotional Strategy Recommendations:\")\n",
    "print(\"Leverage association rules to design targeted promotions or discounts on items frequently purchased together, increasing overall sales.\")\n",
    "\n",
    "# Example 3: Cross-Selling Opportunities\n",
    "# Identify items frequently purchased together and suggest complementary products to customers during checkout or via email marketing\n",
    "print(\"\\nCross-Selling Opportunities:\")\n",
    "print(\"Identify items frequently purchased together and suggest complementary products to customers during checkout or via email marketing campaigns, increasing average order value.\")\n",
    "\n",
    "# Feel free to add more specific recommendations tailored to your business context and the insights obtained from the analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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