diff --git a/notebooks/clustering/Kmeans.ipynb b/notebooks/clustering/Kmeans.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..4834b1457972b7695878118a2a936e2cd198a7a9 --- /dev/null +++ b/notebooks/clustering/Kmeans.ipynb @@ -0,0 +1,951 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 53, + "id": "a3273606-e578-4e71-8c4c-97bcd0420d3f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(2078, 19)\n" + ] + }, + { + "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>Gender</th>\n", + " <th>Age</th>\n", + " <th>Height</th>\n", + " <th>Weight</th>\n", + " <th>family_history_with_overweight</th>\n", + " <th>FAVC</th>\n", + " <th>FCVC</th>\n", + " <th>NCP</th>\n", + " <th>CAEC</th>\n", + " <th>SMOKE</th>\n", + " <th>CH2O</th>\n", + " <th>SCC</th>\n", + " <th>FAF</th>\n", + " <th>TUE</th>\n", + " <th>CALC</th>\n", + " <th>MTRANS_Bike</th>\n", + " <th>MTRANS_Motorbike</th>\n", + " <th>MTRANS_Public_Transportation</th>\n", + " <th>MTRANS_Walking</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>-1.0</td>\n", + " <td>-0.305183</td>\n", + " <td>-0.587756</td>\n", + " <td>-0.458016</td>\n", + " <td>0.0</td>\n", + " <td>-1.0</td>\n", + " <td>-0.39728</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>-0.644237</td>\n", + " <td>0.369134</td>\n", + " <td>-1.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>-1.0</td>\n", + " <td>-0.305183</td>\n", + " <td>-1.306126</td>\n", + " <td>-0.648137</td>\n", + " <td>0.0</td>\n", + " <td>-1.0</td>\n", + " <td>0.60272</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>1.0</td>\n", + " <td>1.139397</td>\n", + " <td>1.0</td>\n", + " <td>1.288474</td>\n", + " <td>-0.630866</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>0.0</td>\n", + " <td>0.023948</td>\n", + " <td>0.705310</td>\n", + " <td>-0.149071</td>\n", + " <td>0.0</td>\n", + " <td>-1.0</td>\n", + " <td>-0.39728</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>0.644237</td>\n", + " <td>0.369134</td>\n", + " <td>1.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>0.0</td>\n", + " <td>0.682209</td>\n", + " <td>0.705310</td>\n", + " <td>0.088580</td>\n", + " <td>-1.0</td>\n", + " <td>-1.0</td>\n", + " <td>0.60272</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>0.644237</td>\n", + " <td>-0.630866</td>\n", + " <td>1.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>-1.0</td>\n", + " <td>1.0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>0.0</td>\n", + " <td>-0.140618</td>\n", + " <td>0.561636</td>\n", + " <td>0.155122</td>\n", + " <td>-1.0</td>\n", + " <td>-1.0</td>\n", + " <td>-0.39728</td>\n", + " <td>-6.725583</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.000000</td>\n", + " <td>0.0</td>\n", + " <td>-0.644237</td>\n", + " <td>-0.630866</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " <td>0.0</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "</div>" + ], + "text/plain": [ + " Gender Age Height Weight family_history_with_overweight FAVC \\\n", + "0 -1.0 -0.305183 -0.587756 -0.458016 0.0 -1.0 \n", + "1 -1.0 -0.305183 -1.306126 -0.648137 0.0 -1.0 \n", + "2 0.0 0.023948 0.705310 -0.149071 0.0 -1.0 \n", + "3 0.0 0.682209 0.705310 0.088580 -1.0 -1.0 \n", + "4 0.0 -0.140618 0.561636 0.155122 -1.0 -1.0 \n", + "\n", + " FCVC NCP CAEC SMOKE CH2O SCC FAF TUE CALC \\\n", + "0 -0.39728 0.000000 0.0 0.0 0.000000 0.0 -0.644237 0.369134 -1.0 \n", + "1 0.60272 0.000000 0.0 1.0 1.139397 1.0 1.288474 -0.630866 0.0 \n", + "2 -0.39728 0.000000 0.0 0.0 0.000000 0.0 0.644237 0.369134 1.0 \n", + "3 0.60272 0.000000 0.0 0.0 0.000000 0.0 0.644237 -0.630866 1.0 \n", + "4 -0.39728 -6.725583 0.0 0.0 0.000000 0.0 -0.644237 -0.630866 0.0 \n", + "\n", + " MTRANS_Bike MTRANS_Motorbike MTRANS_Public_Transportation MTRANS_Walking \n", + "0 0.0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 0.0 \n", + "3 0.0 0.0 -1.0 1.0 \n", + "4 0.0 0.0 0.0 0.0 " + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "\n", + "# Load the preprocessed, scaled dataset (without labels)\n", + "file_path = \"clustering_preprocessing_robust_scaled.csv\"\n", + "df = pd.read_csv(file_path)\n", + "\n", + "# Preview the data\n", + "print(df.shape)\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "id": "7c06f0f7-23cd-48d6-b256-5dbcc062b61e", + "metadata": {}, + "source": [ + "## Determine the Best Number of Clusters (for KMeans)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "1c50d93a-1e0f-4333-a093-17d60b63c06b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " k Inertia Silhouette Score\n", + "0 2 11993.074795 0.503664\n", + "1 3 10547.265704 0.251076\n", + "2 4 9459.024210 0.213398\n", + "3 5 8471.965153 0.223560\n", + "4 6 7781.356304 0.201207\n", + "5 7 7329.356639 0.186209\n", + "6 8 6994.773586 0.179529\n", + "7 9 6722.855840 0.184874\n", + "8 10 6500.794327 0.180772\n" + ] + } + ], + "source": [ + "from sklearn.cluster import KMeans\n", + "from sklearn.metrics import silhouette_score\n", + "import pandas as pd\n", + "\n", + "features = df.copy()\n", + "inertias = []\n", + "silhouettes = []\n", + "k_range = range(2, 11)\n", + "\n", + "for k in k_range:\n", + " kmeans = KMeans(n_clusters=k, random_state=42, n_init=10)\n", + " labels = kmeans.fit_predict(features)\n", + " \n", + " inertia = kmeans.inertia_\n", + " silhouette = silhouette_score(features, labels)\n", + " \n", + " inertias.append(inertia)\n", + " silhouettes.append(silhouette)\n", + "\n", + "# Create summary table\n", + "comparison_df = pd.DataFrame({\n", + " 'k': list(k_range),\n", + " 'Inertia': inertias,\n", + " 'Silhouette Score': silhouettes\n", + "})\n", + "\n", + "print(comparison_df)" + ] + }, + { + "cell_type": "markdown", + "id": "a374ef9d-9e27-4363-8385-1e4d6d812bee", + "metadata": {}, + "source": [ + "#### Observations:\n", + "1. Inertia decreases consistently with increasing k, as expected in KMeans.\n", + "2. Silhouette Score peaks at k = 2 (0.5037), indicating the best separation between clusters.\n", + "3. After k = 2, the silhouette score drops sharply, suggesting that additional clusters may be less meaningful.\n", + "4. k = 3 shows a good drop in inertia but at the cost of cluster quality (Silhouette drops to 0.2511).\n", + "Scores for k ≥ 4 remain low and relatively flat, indicating poor separation." + ] + }, + { + "cell_type": "markdown", + "id": "63d08268-f9b4-453d-8702-a2c1e75cc7b6", + "metadata": {}, + "source": [ + "#### Conclusion:\n", + "Based on the balance between compactness (Inertia) and separation (Silhouette), k = 2 is the optimal choice for this dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "905cc544-1082-4cc1-b6b6-1bfbcb1cb980", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 1000x600 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# Plot Inertia and Silhouette Score\n", + "fig, ax1 = plt.subplots(figsize=(10, 6))\n", + "\n", + "# Plot Inertia on the left y-axis\n", + "color = 'tab:blue'\n", + "ax1.set_xlabel('Number of Clusters (k)')\n", + "ax1.set_ylabel('Inertia', color=color)\n", + "ax1.plot(comparison_df['k'], comparison_df['Inertia'], marker='o', color=color, label='Inertia')\n", + "ax1.tick_params(axis='y', labelcolor=color)\n", + "\n", + "# Create a second y-axis for Silhouette Score\n", + "ax2 = ax1.twinx()\n", + "color = 'tab:green'\n", + "ax2.set_ylabel('Silhouette Score', color=color)\n", + "ax2.plot(comparison_df['k'], comparison_df['Silhouette Score'], marker='s', color=color, label='Silhouette Score')\n", + "ax2.tick_params(axis='y', labelcolor=color)\n", + "\n", + "# Title and layout\n", + "plt.title('KMeans: Inertia vs Silhouette Score for Different k')\n", + "fig.tight_layout()\n", + "plt.grid(True)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "7d283a9d-0e98-401b-a271-ed516750035c", + "metadata": {}, + "source": [ + "#### Observation: Inertia vs Silhouette Score for Different k\n", + "1. Inertia Curve (Blue Line):Shows a consistent downward trend as k increases from 2 to 10.\n", + " The elbow point is most visible at k = 3, where the rate of decrease starts to flatten — a classic indicator for potential optimal clusters.\n", + "\n", + "2. Silhouette Score Curve (Green Line):\n", + " Peaks at k = 2 (0.50) — indicating the best-defined clusters.\n", + " Drops sharply to ~0.25 at k = 3, and continues to decline slightly or fluctuate at lower values as k increases.\n", + " Low silhouette scores beyond k = 3 suggest overlapping or poorly separated clusters.\n", + "\n", + "3. Trade-off Insight:\n", + " While k = 3 gives better inertia (compactness), it sacrifices cluster separability.\n", + " k = 2 is the most balanced choice with high silhouette score and acceptable inertia." + ] + }, + { + "cell_type": "markdown", + "id": "58618945-6025-4977-b228-1cb7c25ee0d2", + "metadata": {}, + "source": [ + "## Model Fitting and Cluster Assignment" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "7f14bcc4-0d3d-470a-bbf2-9b6d65e54fed", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Gender Age Height Weight family_history_with_overweight FAVC \\\n", + "0 -1.0 -0.305183 -0.587756 -0.458016 0.0 -1.0 \n", + "1 -1.0 -0.305183 -1.306126 -0.648137 0.0 -1.0 \n", + "2 0.0 0.023948 0.705310 -0.149071 0.0 -1.0 \n", + "3 0.0 0.682209 0.705310 0.088580 -1.0 -1.0 \n", + "4 0.0 -0.140618 0.561636 0.155122 -1.0 -1.0 \n", + "\n", + " FCVC NCP CAEC SMOKE CH2O SCC FAF TUE CALC \\\n", + "0 -0.39728 0.000000 0.0 0.0 0.000000 0.0 -0.644237 0.369134 -1.0 \n", + "1 0.60272 0.000000 0.0 1.0 1.139397 1.0 1.288474 -0.630866 0.0 \n", + "2 -0.39728 0.000000 0.0 0.0 0.000000 0.0 0.644237 0.369134 1.0 \n", + "3 0.60272 0.000000 0.0 0.0 0.000000 0.0 0.644237 -0.630866 1.0 \n", + "4 -0.39728 -6.725583 0.0 0.0 0.000000 0.0 -0.644237 -0.630866 0.0 \n", + "\n", + " MTRANS_Bike MTRANS_Motorbike MTRANS_Public_Transportation \\\n", + "0 0.0 0.0 0.0 \n", + "1 0.0 0.0 0.0 \n", + "2 0.0 0.0 0.0 \n", + "3 0.0 0.0 -1.0 \n", + "4 0.0 0.0 0.0 \n", + "\n", + " MTRANS_Walking Cluster \n", + "0 0.0 0 \n", + "1 0.0 0 \n", + "2 0.0 0 \n", + "3 1.0 0 \n", + "4 0.0 1 \n" + ] + } + ], + "source": [ + "# Fit KMeans with k=2\n", + "kmeans_final = KMeans(n_clusters=2, random_state=42, n_init=10)\n", + "df['Cluster'] = kmeans_final.fit_predict(df)\n", + "\n", + "# Print first few rows of the labeled DataFrame\n", + "print(df.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "998abfa7-5ff6-4e27-a3ad-cf63e25e36de", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 800x600 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Drop 'Cluster' for PCA\n", + "features = df.drop(columns=['Cluster'])\n", + "\n", + "# Apply PCA\n", + "pca = PCA(n_components=2)\n", + "pca_result = pca.fit_transform(features)\n", + "\n", + "# Plot PCA result\n", + "plt.figure(figsize=(8, 6))\n", + "scatter = plt.scatter(pca_result[:, 0], pca_result[:, 1], c=df['Cluster'], cmap='coolwarm', alpha=0.6)\n", + "plt.title('PCA Plot of Clusters (k=2)')\n", + "plt.xlabel('PCA Component 1')\n", + "plt.ylabel('PCA Component 2')\n", + "plt.colorbar(scatter, label='Cluster')\n", + "plt.grid(True)\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "4ddd2ec0-c739-473f-af25-807dd75f5516", + "metadata": {}, + "source": [ + "#### Observation: PCA Visualization of Clusters (k=2)\n", + "1.The PCA plot shows clear separation between Cluster 0 (blue) and Cluster 1 (red) along PCA Component 1.\n", + "\n", + "2.Cluster 0 (blue) is spread from center to the right, while Cluster 1 (red) dominates the left side.\n", + "\n", + "3.The clusters are well-partitioned, indicating meaningful structural differences in the original feature space.\n", + "\n", + "4.There is some vertical overlap along PCA Component 2, but the horizontal spread confirms strong distinction driven by key features." + ] + }, + { + "cell_type": "markdown", + "id": "086d3591-584e-4248-9ad1-188cd062ddd2", + "metadata": {}, + "source": [ + "PCA Plot Shows:\n", + "\n", + "1. Clear separation between Cluster 0 and Cluster 1, especially on PCA Component 1.\n", + "\n", + "2. Confirms that your clustering result (k=2) has meaningful structure." + ] + }, + { + "cell_type": "markdown", + "id": "4762a419-ddb5-4e9e-ab90-f4692ba39045", + "metadata": {}, + "source": [ + "## Cluster-wise Feature Mean Analysis/cluster profiling" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "b569e609-6554-4a25-924b-aabdf3ef8058", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cluster 0 1\n", + "Gender -0.482036 -0.549020\n", + "Age 0.230407 0.327168\n", + "Height 0.077872 -0.275725\n", + "Weight 0.141089 -0.127909\n", + "family_history_with_overweight -0.161677 -0.220588\n", + "FAVC -0.116766 -0.112745\n", + "FCVC 0.036855 -0.025724\n", + "NCP 0.152487 -5.681848\n", + "CAEC 0.150898 0.122549\n", + "SMOKE 0.021557 0.019608\n", + "CH2O 0.033685 -0.099027\n", + "SCC 0.044910 0.051471\n", + "FAF 0.029131 -0.072281\n", + "TUE 0.034253 0.026013\n", + "CALC -0.234132 -0.416667\n", + "MTRANS_Bike 0.004192 0.000000\n", + "MTRANS_Motorbike 0.005389 0.004902\n", + "MTRANS_Public_Transportation -0.255689 -0.245098\n", + "MTRANS_Walking 0.026347 0.024510\n" + ] + } + ], + "source": [ + "# Analyze characteristics of each cluster\n", + "cluster_summary = df.groupby('Cluster').mean().T\n", + "print(cluster_summary)\n" + ] + }, + { + "cell_type": "markdown", + "id": "22be9731-b71c-4bea-b49d-f2c2cf840b83", + "metadata": {}, + "source": [ + "#### Observations:\n", + "1. Cluster 0:\n", + " Higher average height, weight, and physical activity\n", + " Better hydration and vegetable intake\n", + " Slightly healthier lifestyle indicators overall\n", + "\n", + "2. Cluster 1:\n", + " Slightly older on average\n", + " Significantly lower NCP (−5.68) suggests a possible data issue or under-eating behavior\n", + " Lower physical activity and water intake\n", + " Higher negative value for alcohol consumption (CALC)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "66eb9ccf-0c79-4466-8784-df42872339aa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<Figure size 1400x600 with 0 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 1400x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from sklearn.cluster import KMeans\n", + "\n", + "# Group by cluster and calculate means\n", + "cluster_means = df.groupby('Cluster').mean()\n", + "\n", + "# ==============================\n", + "# Bar Plot\n", + "# ==============================\n", + "plt.figure(figsize=(14, 6))\n", + "cluster_means.T.plot(kind='bar', figsize=(14, 6))\n", + "plt.title(\"Feature Means per Cluster (Bar Plot)\")\n", + "plt.xlabel(\"Features\")\n", + "plt.ylabel(\"Mean (Standardized)\")\n", + "plt.grid(axis='y')\n", + "plt.tight_layout()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "id": "3f2e9d41-b3c9-4c30-b8c3-20825ea1bb29", + "metadata": {}, + "source": [ + "#### Observation: \n", + "1. The extreme drop in NCP for Cluster 1 dominates the visual distribution, indicating a strong differentiator.\n", + "2. Cluster 0 appears more balanced across lifestyle features, while Cluster 1 may reflect less healthy or irregular behavior patterns." + ] + }, + { + "cell_type": "markdown", + "id": "00b51250-1ead-48ca-a39a-d6f371c38c5e", + "metadata": {}, + "source": [ + "## Analyze Variability (Standard Deviation)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "b9bc1c2b-aefe-46ce-be38-c7e512322303", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Standard Deviation (Variability) within Clusters:\n", + "Cluster 0 1\n", + "Gender 0.499827 0.498202\n", + "Age 1.033257 1.109693\n", + "Height 0.646330 0.685616\n", + "Weight 0.644409 0.460427\n", + "family_history_with_overweight 0.368264 0.415152\n", + "FAVC 0.321238 0.316669\n", + "FCVC 0.544635 0.490833\n", + "NCP 1.028056 1.309489\n", + "CAEC 0.453978 0.475112\n", + "SMOKE 0.145275 0.138819\n", + "CH2O 0.692919 0.677925\n", + "SCC 0.207169 0.221227\n", + "FAF 0.552189 0.534481\n", + "TUE 0.590140 0.675845\n", + "CALC 0.494096 0.580533\n", + "MTRANS_Bike 0.064626 0.000000\n", + "MTRANS_Motorbike 0.073235 0.069928\n", + "MTRANS_Public_Transportation 0.436378 0.430673\n", + "MTRANS_Walking 0.160214 0.154815\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.cluster import KMeans\n", + "\n", + "cluster_std = df.groupby('Cluster').std().T\n", + "\n", + "print(\"Standard Deviation (Variability) within Clusters:\")\n", + "print(cluster_std)" + ] + }, + { + "cell_type": "markdown", + "id": "ba3b94c3-f8f7-4cf5-bf1a-c2bcc3581252", + "metadata": {}, + "source": [ + "#### Observation: Cluster Variability (Standard Deviation)\n", + "1. Age and NCP (meal frequency) show the highest variability in both clusters, especially in Cluster 1 (NCP: 1.31).\n", + "2. Cluster 0 shows more variation in Weight, while Cluster 1 has higher variability in TUE (tech use) and CALC (alcohol consumption).\n", + "3. CH2O and FAF show moderate spread across both clusters, indicating diverse hydration and activity habits.\n", + "4. Features like SMOKE, FAVC, and MTRANS_Walking have consistently low variability, suggesting stable behaviors.\n", + "5. MTRANS_Bike is non-variable in Cluster 1 (0.000), indicating no users opted for biking there." + ] + }, + { + "cell_type": "markdown", + "id": "879ccfac-55cf-48de-9cd1-725babbde345", + "metadata": {}, + "source": [ + "##### Cluster 1 shows slightly more variability overall, especially in eating habits and tech use, while Cluster 0 is more consistent in lifestyle patterns." + ] + }, + { + "cell_type": "markdown", + "id": "c11a3981-d112-4c38-a36f-5c9cd5e3db60", + "metadata": {}, + "source": [ + "## Percentage of data points in each cluster" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "96cba98c-9ff9-4fe8-8726-5dd03708fd1e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Percentage of data points in each cluster:\n", + "Cluster\n", + "0 80.37\n", + "1 19.63\n", + "Name: proportion, dtype: float64\n" + ] + } + ], + "source": [ + "import pandas as pd\n", + "\n", + "# Assuming df already contains the 'Cluster' column from KMeans\n", + "# If not, load and assign clusters first\n", + "\n", + "# Calculate percentage of each cluster\n", + "cluster_percentages = df['Cluster'].value_counts(normalize=True) * 100\n", + "cluster_percentages = cluster_percentages.sort_index().round(2)\n", + "\n", + "# Print the results\n", + "print(\"Percentage of data points in each cluster:\")\n", + "print(cluster_percentages)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "7aad2a09-4daa-48d2-8c29-66d83b95c2df", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "<Figure size 600x600 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# Calculate cluster percentages\n", + "cluster_percentages = df['Cluster'].value_counts(normalize=True) * 100\n", + "cluster_percentages = cluster_percentages.sort_index().round(2)\n", + "\n", + "# Plot pie chart\n", + "plt.figure(figsize=(6, 6))\n", + "plt.pie(cluster_percentages, \n", + " labels=[f'Cluster {i}' for i in cluster_percentages.index],\n", + " autopct='%1.1f%%', \n", + " startangle=90, \n", + " colors=['#66b3ff', '#ff9999'], \n", + " explode=(0.05, 0), \n", + " shadow=True)\n", + "plt.title(\"Cluster Distribution (Pie Chart)\")\n", + "plt.axis('equal') # Equal aspect ratio ensures the pie is circular\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "6aa0591e-be4b-4566-8d07-2729b14f4900", + "metadata": {}, + "source": [ + "#### Observation : \n", + "1. Cluster 0 accounts for the majority of the dataset (80.4%), suggesting it represents the dominant group with common characteristics.\n", + "\n", + "2. Cluster 1 comprises only 19.6% of the data, likely representing a distinct minority group — possibly with unique " + ] + }, + { + "cell_type": "markdown", + "id": "90076028-8497-4c30-83e6-8f8c12fb3cfd", + "metadata": {}, + "source": [ + "## Evaluation of Kmeans: " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "ab95ff33-f155-4f9d-aa14-6ec77be4095b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KMeans Evaluation Metrics (k=2):\n", + "Silhouette Score : 0.5037\n", + "Davies-Bouldin Index : 0.8034\n", + "Calinski-Harabasz Index : 1947.96\n" + ] + } + ], + "source": [ + "from sklearn.metrics import silhouette_score, davies_bouldin_score, calinski_harabasz_score\n", + "from sklearn.cluster import KMeans\n", + "import pandas as pd\n", + "\n", + "# Drop existing cluster column if needed\n", + "if 'Cluster' in df.columns:\n", + " df = df.drop(columns=['Cluster'])\n", + "\n", + "# Use all features\n", + "features = df.copy()\n", + "\n", + "# Fit final KMeans model with k=2\n", + "kmeans = KMeans(n_clusters=2, random_state=42, n_init=10)\n", + "labels = kmeans.fit_predict(features)\n", + "\n", + "# Calculate evaluation metrics\n", + "silhouette = silhouette_score(features, labels)\n", + "davies_bouldin = davies_bouldin_score(features, labels)\n", + "calinski_harabasz = calinski_harabasz_score(features, labels)\n", + "\n", + "# Print results\n", + "print(\"KMeans Evaluation Metrics (k=2):\")\n", + "print(f\"Silhouette Score : {silhouette:.4f}\")\n", + "print(f\"Davies-Bouldin Index : {davies_bouldin:.4f}\")\n", + "print(f\"Calinski-Harabasz Index : {calinski_harabasz:.2f}\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "6287383b-141b-474e-9311-125963723310", + "metadata": {}, + "source": [ + "### Interpretation of KMeans Evaluation (k = 2)\n", + "The clustering model with 2 clusters demonstrates strong performance across all key evaluation metrics:\n", + "\n", + "1. A Silhouette Score of 0.5037 indicates that most data points are well matched to their assigned cluster and distinctly separated from others.\n", + "\n", + "2. The low Davies–Bouldin Index (0.8034) suggests minimal overlap between clusters, meaning the clusters are compact and clearly distinguishable.\n", + "\n", + "3. A high Calinski–Harabasz Index (1947.96) reflects a favorable ratio of inter-cluster separation to intra-cluster variance — further validating the clustering structure.\n", + "\n", + "These metrics collectively confirm that the clustering solution at k = 2 is both statistically sound and interpretable, making it a reliable foundation for downstream analysis, profiling, or modeling.\n" + ] + }, + { + "cell_type": "markdown", + "id": "48f94202-5633-436e-807e-b3183ad9b9b0", + "metadata": {}, + "source": [ + "### Saving final file" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "24faece6-ecd1-49d7-bc0b-8283cd8b033c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " Evaluation metrics saved to 'kmeans_evaluation_k2.csv'\n" + ] + } + ], + "source": [ + "# Store results in a DataFrame\n", + "evaluation_df = pd.DataFrame({\n", + " 'Metric': ['Silhouette Score', 'Davies-Bouldin Index', 'Calinski-Harabasz Index'],\n", + " 'Value': [round(silhouette, 4), round(davies_bouldin, 4), round(calinski_harabasz, 2)]\n", + "})\n", + "\n", + "# Save to CSV\n", + "evaluation_df.to_csv(\"kmeans_evaluation_k2.csv\", index=False)\n", + "\n", + "print(\"\\n Evaluation metrics saved to 'kmeans_evaluation_k2.csv'\")" + ] + }, + { + "cell_type": "markdown", + "id": "dfac0ebd-1b9e-47c1-a12e-831503541f63", + "metadata": {}, + "source": [ + "### **Key Takeaways**\n", + "#### 🔠**1. Finding the Optimal Number of Clusters**\n", + "\n", + "* **Elbow method** showed a significant drop in inertia at `k = 3`, but diminishing gains after that.\n", + "* **Silhouette scores** peaked at **`k = 2 (0.5037)`**, indicating the best balance between compactness and separation.\n", + "* Based on both metrics, **`k = 2` was selected** for final modeling.\n", + "\n", + "#### **2. Final KMeans Model (k = 2)**\n", + "\n", + "* KMeans clustering was performed using all features.\n", + "* Cluster labels were assigned and added to the dataset.\n", + "* Distribution:\n", + "\n", + " * **Cluster 0**: 80.4% of records\n", + " * **Cluster 1**: 19.6% of records\n", + "\n", + "#### **3. Cluster Profiling**\n", + "\n", + "* **Cluster 0**: Higher average height, weight, CH2O, and physical activity — likely healthier group.\n", + "* **Cluster 1**: Very low `NCP` (meal frequency) and slightly lower activity — possibly a distinct behavior group or anomaly.\n", + "* **Standard deviation analysis** showed that Cluster 1 had more variability in age, eating patterns, and tech use.\n", + "\n", + "#### **4. PCA Visualization**\n", + "\n", + "* PCA (applied after clustering) showed **clear separation** between the two clusters on the first component.\n", + "* Visual confirmation that the KMeans clustering captured meaningful structure in the data.\n", + "\n", + "#### **5. Final Evaluation Metrics**\n", + "\n", + "| Metric | Value |\n", + "| ----------------------- | ------- |\n", + "| Silhouette Score | 0.5037 |\n", + "| Davies–Bouldin Index | 0.8034 |\n", + "| Calinski–Harabasz Index | 1947.96 |\n", + "\n", + "* The metrics confirm that **`k = 2` clusters are well-separated and statistically valid**.\n", + "\n", + "### **Conclusion**\n", + "\n", + "The KMeans clustering pipeline successfully segmented the data into two well-defined clusters with strong internal structure, supported by visual evidence and evaluation metrics. Cluster profiling provides valuable insights into lifestyle differences across groups, setting the stage for targeted recommendations or downstream modeling." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "426ed14a-9136-4192-9b1d-2a92576da4e4", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.1" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}