{ "cells": [ { "cell_type": "code", "execution_count": 2, "id": "397b3acf", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.decomposition import PCA\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from plotnine import ggplot, aes, geom_point, geom_text, theme_bw, geom_segment, arrow" ] }, { "cell_type": "code", "execution_count": 3, "id": "0d62ee78", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 178 entries, 0 to 177\n", "Data columns (total 14 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 WineClass 178 non-null object \n", " 1 Alcohol 178 non-null float64\n", " 2 MalicAcid 178 non-null float64\n", " 3 Ash 178 non-null float64\n", " 4 AlkalinityAsh 178 non-null float64\n", " 5 Mg 178 non-null int64 \n", " 6 Phenols 178 non-null float64\n", " 7 Flavanoids 178 non-null float64\n", " 8 NonFlavanoidPhenols 178 non-null float64\n", " 9 Proanthocyanins 178 non-null float64\n", " 10 Color 178 non-null float64\n", " 11 Hue 178 non-null float64\n", " 12 ODRatio 178 non-null float64\n", " 13 Proline 178 non-null int64 \n", "dtypes: float64(11), int64(2), object(1)\n", "memory usage: 19.6+ KB\n", "None\n" ] } ], "source": [ "# Read the CSV file into a DataFrame\n", "WineData = pd.read_csv(\"wine.csv\")\n", "\n", "# Display structure of the DataFrame\n", "print(WineData.info())" ] }, { "cell_type": "code", "execution_count": 4, "id": "cf316e16", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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WineClassAlcoholMalicAcidAshAlkalinityAshMgPhenolsFlavanoidsNonFlavanoidPhenolsProanthocyaninsColorHueODRatioProline
0barolo14.231.712.4315.61272.803.060.282.295.641.043.921065
1barolo13.201.782.1411.21002.652.760.261.284.381.053.401050
2barolo13.162.362.6718.61012.803.240.302.815.681.033.171185
3barolo14.371.952.5016.81133.853.490.242.187.800.863.451480
4barolo13.242.592.8721.01182.802.690.391.824.321.042.93735
\n", "
" ], "text/plain": [ " WineClass Alcohol MalicAcid Ash AlkalinityAsh Mg Phenols \\\n", "0 barolo 14.23 1.71 2.43 15.6 127 2.80 \n", "1 barolo 13.20 1.78 2.14 11.2 100 2.65 \n", "2 barolo 13.16 2.36 2.67 18.6 101 2.80 \n", "3 barolo 14.37 1.95 2.50 16.8 113 3.85 \n", "4 barolo 13.24 2.59 2.87 21.0 118 2.80 \n", "\n", " Flavanoids NonFlavanoidPhenols Proanthocyanins Color Hue ODRatio \\\n", "0 3.06 0.28 2.29 5.64 1.04 3.92 \n", "1 2.76 0.26 1.28 4.38 1.05 3.40 \n", "2 3.24 0.30 2.81 5.68 1.03 3.17 \n", "3 3.49 0.24 2.18 7.80 0.86 3.45 \n", "4 2.69 0.39 1.82 4.32 1.04 2.93 \n", "\n", " Proline \n", "0 1065 \n", "1 1050 \n", "2 1185 \n", "3 1480 \n", "4 735 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "WineData.head()" ] }, { "cell_type": "code", "execution_count": 5, "id": "4419f83f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.51861254 -0.5622498 0.23205254 ... 0.36217728 1.84791957\n", " 1.01300893]\n", " [ 0.24628963 -0.49941338 -0.82799632 ... 0.40605066 1.1134493\n", " 0.96524152]\n", " [ 0.19687903 0.02123125 1.10933436 ... 0.31830389 0.78858745\n", " 1.39514818]\n", " ...\n", " [ 0.33275817 1.74474449 -0.38935541 ... -1.61212515 -1.48544548\n", " 0.28057537]\n", " [ 0.20923168 0.22769377 0.01273209 ... -1.56825176 -1.40069891\n", " 0.29649784]\n", " [ 1.39508604 1.58316512 1.36520822 ... -1.52437837 -1.42894777\n", " -0.59516041]]\n" ] } ], "source": [ "# Extract predictors (remove the class variable from the first column)\n", "wine_predictors = WineData.iloc[:, 1:]\n", "\n", "# Scale the predictors\n", "scaled_predictors = StandardScaler().fit_transform(wine_predictors)\n", "\n", "# Display scaled predictors\n", "print(scaled_predictors)" ] }, { "cell_type": "code", "execution_count": 6, "id": "f0f65e7f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1.00564972 0.09493026 0.21273976 -0.31198788 0.27232816 0.29073446\n", " 0.23815287 -0.15681042 0.13747022 0.549451 -0.07215255 0.07275191\n", " 0.64735687]\n", " [ 0.09493026 1.00564972 0.16497228 0.29013035 -0.05488343 -0.3370606\n", " -0.41332866 0.29463237 -0.22199334 0.25039204 -0.56446685 -0.37079354\n", " -0.19309537]\n", " [ 0.21273976 0.16497228 1.00564972 0.44587209 0.28820583 0.12970824\n", " 0.11572743 0.1872826 0.00970647 0.2603499 -0.07508874 0.00393333\n", " 0.22488969]\n", " [-0.31198788 0.29013035 0.44587209 1.00564972 -0.0838039 -0.32292752\n", " -0.353355 0.36396647 -0.19844168 0.01883781 -0.27550299 -0.27833221\n", " -0.44308618]\n", " [ 0.27232816 -0.05488343 0.28820583 -0.0838039 1.00564972 0.21561254\n", " 0.19688989 -0.25774204 0.23777643 0.20107967 0.05571118 0.06637684\n", " 0.39557317]\n", " [ 0.29073446 -0.3370606 0.12970824 -0.32292752 0.21561254 1.00564972\n", " 0.86944804 -0.45247731 0.61587304 -0.05544792 0.43613151 0.70390388\n", " 0.50092909]\n", " [ 0.23815287 -0.41332866 0.11572743 -0.353355 0.19688989 0.86944804\n", " 1.00564972 -0.54093859 0.65637929 -0.17335329 0.54654907 0.79164133\n", " 0.49698518]\n", " [-0.15681042 0.29463237 0.1872826 0.36396647 -0.25774204 -0.45247731\n", " -0.54093859 1.00564972 -0.36791202 0.13984265 -0.26412347 -0.50611293\n", " -0.31314443]\n", " [ 0.13747022 -0.22199334 0.00970647 -0.19844168 0.23777643 0.61587304\n", " 0.65637929 -0.36791202 1.00564972 -0.02539259 0.29721399 0.52199968\n", " 0.33228346]\n", " [ 0.549451 0.25039204 0.2603499 0.01883781 0.20107967 -0.05544792\n", " -0.17335329 0.13984265 -0.02539259 1.00564972 -0.52476129 -0.43123763\n", " 0.31788599]\n", " [-0.07215255 -0.56446685 -0.07508874 -0.27550299 0.05571118 0.43613151\n", " 0.54654907 -0.26412347 0.29721399 -0.52476129 1.00564972 0.56866303\n", " 0.23751782]\n", " [ 0.07275191 -0.37079354 0.00393333 -0.27833221 0.06637684 0.70390388\n", " 0.79164133 -0.50611293 0.52199968 -0.43123763 0.56866303 1.00564972\n", " 0.31452809]\n", " [ 0.64735687 -0.19309537 0.22488969 -0.44308618 0.39557317 0.50092909\n", " 0.49698518 -0.31314443 0.33228346 0.31788599 0.23751782 0.31452809\n", " 1.00564972]]\n", "Eigenvalues: [4.73243698 2.51108093 1.45424187 0.92416587 0.85804868 0.64528221\n", " 0.55414147 0.10396199 0.35046627 0.16972374 0.29051203 0.22706428\n", " 0.25232001]\n", "Eigenvectors: [[-0.1443294 0.48365155 0.20738262 -0.0178563 -0.26566365 0.21353865\n", " 0.05639636 -0.01496997 0.39613926 -0.26628645 -0.50861912 -0.22591696\n", " 0.21160473]\n", " [ 0.24518758 0.22493093 -0.08901289 0.53689028 0.03521363 0.53681385\n", " -0.42052391 -0.02596375 0.06582674 0.12169604 0.07528304 0.07648554\n", " -0.30907994]\n", " [ 0.00205106 0.31606881 -0.6262239 -0.21417556 -0.14302547 0.15447466\n", " 0.14917061 0.14121803 -0.17026002 -0.04962237 0.30769445 -0.49869142\n", " -0.02712539]\n", " [ 0.23932041 -0.0105905 -0.61208035 0.06085941 0.06610294 -0.10082451\n", " 0.28696914 -0.09168285 0.42797018 -0.05574287 -0.20044931 0.47931378\n", " 0.05279942]\n", " [-0.14199204 0.299634 -0.13075693 -0.35179658 0.72704851 0.03814394\n", " -0.3228833 -0.05677422 -0.15636143 0.06222011 -0.27140257 0.07128891\n", " 0.06787022]\n", " [-0.39466085 0.06503951 -0.14617896 0.19806835 -0.14931841 -0.0841223\n", " 0.02792498 0.46390791 -0.40593409 -0.30388245 -0.28603452 0.30434119\n", " -0.32013135]\n", " [-0.4229343 -0.00335981 -0.1506819 0.15229479 -0.10902584 -0.01892002\n", " 0.06068521 -0.83225706 -0.18724536 -0.04289883 -0.04957849 -0.02569409\n", " -0.16315051]\n", " [ 0.2985331 0.02877949 -0.17036816 -0.20330102 -0.50070298 -0.25859401\n", " -0.59544729 -0.11403985 -0.23328465 0.04235219 -0.19550132 0.11689586\n", " 0.21553507]\n", " [-0.31342949 0.03930172 -0.14945431 0.39905653 0.13685982 -0.53379539\n", " -0.37213935 0.11691707 0.36822675 -0.09555303 0.20914487 -0.23736257\n", " 0.1341839 ]\n", " [ 0.0886167 0.52999567 0.13730621 0.06592568 -0.07643678 -0.41864414\n", " 0.22771214 0.0119928 -0.03379692 0.60422163 -0.05621752 0.0318388\n", " -0.29077518]\n", " [-0.29671456 -0.27923515 -0.08522192 -0.42777141 -0.17361452 0.10598274\n", " -0.23207564 0.08988884 0.43662362 0.259214 -0.08582839 -0.04821201\n", " -0.52239889]\n", " [-0.37616741 -0.16449619 -0.16600459 0.18412074 -0.10116099 0.26585107\n", " 0.0447637 0.15671813 -0.07810789 0.60095872 -0.1372269 0.0464233\n", " 0.52370587]\n", " [-0.28675223 0.36490283 0.12674592 -0.23207086 -0.1578688 0.11972557\n", " -0.0768045 -0.01444734 0.12002267 -0.07940162 0.57578611 0.53926983\n", " 0.162116 ]]\n" ] } ], "source": [ "# Calculate covariance matrix\n", "c = np.cov(scaled_predictors, rowvar=False)\n", "\n", "# Display covariance matrix\n", "print(c)\n", "\n", "# Calculate eigenvalues and eigenvectors\n", "eigenvalues, eigenvectors = np.linalg.eig(c)\n", "\n", "# Display eigenvalues and eigenvectors\n", "print(\"Eigenvalues:\", eigenvalues)\n", "print(\"Eigenvectors:\", eigenvectors)" ] }, { "cell_type": "code", "execution_count": 7, "id": "9b781ed1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Explained Variance Ratio: [0.36198848 0.1920749 0.11123631 0.0706903 0.06563294 0.04935823\n", " 0.04238679 0.02680749 0.02222153 0.01930019 0.01736836 0.01298233\n", " 0.00795215]\n", "Cumulative Explained Variance Ratio: [0.36198848 0.55406338 0.66529969 0.73598999 0.80162293 0.85098116\n", " 0.89336795 0.92017544 0.94239698 0.96169717 0.97906553 0.99204785\n", " 1. ]\n", "Principal Components:\n", "[[ 0.1443294 -0.24518758 -0.00205106 -0.23932041 0.14199204 0.39466085\n", " 0.4229343 -0.2985331 0.31342949 -0.0886167 0.29671456 0.37616741\n", " 0.28675223]\n", " [ 0.48365155 0.22493093 0.31606881 -0.0105905 0.299634 0.06503951\n", " -0.00335981 0.02877949 0.03930172 0.52999567 -0.27923515 -0.16449619\n", " 0.36490283]\n", " [-0.20738262 0.08901289 0.6262239 0.61208035 0.13075693 0.14617896\n", " 0.1506819 0.17036816 0.14945431 -0.13730621 0.08522192 0.16600459\n", " -0.12674592]\n", " [-0.0178563 0.53689028 -0.21417556 0.06085941 -0.35179658 0.19806835\n", " 0.15229479 -0.20330102 0.39905653 0.06592568 -0.42777141 0.18412074\n", " -0.23207086]\n", " [-0.26566365 0.03521363 -0.14302547 0.06610294 0.72704851 -0.14931841\n", " -0.10902584 -0.50070298 0.13685982 -0.07643678 -0.17361452 -0.10116099\n", " -0.1578688 ]\n", " [ 0.21353865 0.53681385 0.15447466 -0.10082451 0.03814394 -0.0841223\n", " -0.01892002 -0.25859401 -0.53379539 -0.41864414 0.10598274 0.26585107\n", " 0.11972557]\n", " [-0.05639636 0.42052391 -0.14917061 -0.28696914 0.3228833 -0.02792498\n", " -0.06068521 0.59544729 0.37213935 -0.22771214 0.23207564 -0.0447637\n", " 0.0768045 ]\n", " [ 0.39613926 0.06582674 -0.17026002 0.42797018 -0.15636143 -0.40593409\n", " -0.18724536 -0.23328465 0.36822675 -0.03379692 0.43662362 -0.07810789\n", " 0.12002267]\n", " [-0.50861912 0.07528304 0.30769445 -0.20044931 -0.27140257 -0.28603452\n", " -0.04957849 -0.19550132 0.20914487 -0.05621752 -0.08582839 -0.1372269\n", " 0.57578611]\n", " [ 0.21160473 -0.30907994 -0.02712539 0.05279942 0.06787022 -0.32013135\n", " -0.16315051 0.21553507 0.1341839 -0.29077518 -0.52239889 0.52370587\n", " 0.162116 ]\n", " [-0.22591696 0.07648554 -0.49869142 0.47931378 0.07128891 0.30434119\n", " -0.02569409 0.11689586 -0.23736257 0.0318388 -0.04821201 0.0464233\n", " 0.53926983]\n", " [-0.26628645 0.12169604 -0.04962237 -0.05574287 0.06222011 -0.30388245\n", " -0.04289883 0.04235219 -0.09555303 0.60422163 0.259214 0.60095872\n", " -0.07940162]\n", " [ 0.01496997 0.02596375 -0.14121803 0.09168285 0.05677422 -0.46390791\n", " 0.83225706 0.11403985 -0.11691707 -0.0119928 -0.08988884 -0.15671813\n", " 0.01444734]]\n" ] } ], "source": [ "# Perform PCA\n", "pca = PCA()\n", "pca_out = pca.fit_transform(scaled_predictors)\n", "\n", "# Display results of PCA\n", "print(\"Explained Variance Ratio:\", pca.explained_variance_ratio_)\n", "print(\"Cumulative Explained Variance Ratio:\", np.cumsum(pca.explained_variance_ratio_))\n", "print(\"Principal Components:\")\n", "print(pca.components_)" ] }, { "cell_type": "code", "execution_count": 8, "id": "b7f219b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " PC1 PC2 PC3 PC4 PC5 \\\n", "count 1.780000e+02 1.780000e+02 1.780000e+02 1.780000e+02 1.780000e+02 \n", "mean -1.596725e-16 6.985673e-17 -3.991813e-17 3.991813e-17 9.979533e-18 \n", "std 2.175417e+00 1.584639e+00 1.205920e+00 9.613355e-01 9.263092e-01 \n", "min -4.280639e+00 -3.871784e+00 -4.585064e+00 -2.890120e+00 -2.023127e+00 \n", "25% -2.172762e+00 -1.398300e+00 -8.311875e-01 -6.860538e-01 -5.734337e-01 \n", "50% 6.051146e-02 2.620302e-01 -1.416121e-01 -2.579312e-02 -2.658996e-01 \n", "75% 2.001293e+00 1.233675e+00 7.600610e-01 5.871144e-01 3.550493e-01 \n", "max 4.312784e+00 3.515090e+00 5.345388e+00 3.790335e+00 4.186657e+00 \n", "\n", " PC6 PC7 PC8 PC9 PC10 \\\n", "count 1.780000e+02 1.780000e+02 178.000000 1.780000e+02 1.780000e+02 \n", "mean 3.991813e-17 4.054185e-17 0.000000 2.494883e-17 -2.245395e-17 \n", "std 8.032946e-01 7.444068e-01 0.592002 5.389917e-01 5.023147e-01 \n", "min -3.284281e+00 -1.627192e+00 -1.778778 -1.318462e+00 -1.407460e+00 \n", "25% -5.434456e-01 -4.702604e-01 -0.394469 -3.739756e-01 -3.049310e-01 \n", "50% 6.826509e-02 6.680581e-03 0.075705 -4.858573e-02 1.247964e-02 \n", "75% 5.508706e-01 4.239493e-01 0.394369 3.881541e-01 3.118268e-01 \n", "max 1.913868e+00 2.644070e+00 1.530950 1.264835e+00 1.422104e+00 \n", "\n", " PC11 PC12 PC13 \n", "count 1.780000e+02 1.780000e+02 1.780000e+02 \n", "mean 1.060325e-17 1.871162e-17 3.695546e-17 \n", "std 4.765126e-01 4.119754e-01 3.224314e-01 \n", "min -1.260004e+00 -1.025078e+00 -1.018157e+00 \n", "25% -3.233314e-01 -2.268954e-01 -2.008594e-01 \n", "50% 3.636130e-03 -4.575836e-02 -1.005877e-02 \n", "75% 2.935533e-01 2.554602e-01 1.489479e-01 \n", "max 1.780455e+00 1.099532e+00 1.533423e+00 \n" ] } ], "source": [ "# Display summary statistics of PCA\n", "print(pd.DataFrame(pca_out, columns=[f\"PC{i+1}\" for i in range(pca_out.shape[1])]).describe())" ] }, { "cell_type": "code", "execution_count": 9, "id": "d3fbaf5e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Standard Deviation Proportion of Variance Explained Cumulative Proportion of Variance Explained\n", "PC1 2.175417 0.361988 0.361988\n", "PC2 1.584639 0.192075 0.554063\n", "PC3 1.205920 0.111236 0.665300\n", "PC4 0.961335 0.070690 0.735990\n", "PC5 0.926309 0.065633 0.801623\n", "PC6 0.803295 0.049358 0.850981\n", "PC7 0.744407 0.042387 0.893368\n", "PC8 0.592002 0.026807 0.920175\n", "PC9 0.538992 0.022222 0.942397\n", "PC10 0.502315 0.019300 0.961697\n", "PC11 0.476513 0.017368 0.979066\n", "PC12 0.411975 0.012982 0.992048\n", "PC13 0.322431 0.007952 1.000000\n" ] } ], "source": [ "# Create a DataFrame for summary statistics\n", "summary_df = pd.DataFrame({\n", " 'Standard Deviation': np.sqrt(pca.explained_variance_),\n", " 'Proportion of Variance Explained': pca.explained_variance_ratio_,\n", " 'Cumulative Proportion of Variance Explained': np.cumsum(pca.explained_variance_ratio_)\n", "}, index=[f\"PC{i+1}\" for i in range(pca_out.shape[1])])\n", "\n", "# Set display options to show all columns in a single row\n", "pd.set_option('display.max_columns', None)\n", "pd.set_option('display.expand_frame_repr', False)\n", "\n", "# Display summary statistics\n", "print(summary_df)" ] }, { "cell_type": "code", "execution_count": 10, "id": "5b541640", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loadings:\n", " Alcohol MalicAcid Ash AlkalinityAsh Mg Phenols \\\n", "0 0.144329 -0.245188 -0.002051 -0.239320 0.141992 0.394661 \n", "1 0.483652 0.224931 0.316069 -0.010591 0.299634 0.065040 \n", "2 -0.207383 0.089013 0.626224 0.612080 0.130757 0.146179 \n", "3 -0.017856 0.536890 -0.214176 0.060859 -0.351797 0.198068 \n", "4 -0.265664 0.035214 -0.143025 0.066103 0.727049 -0.149318 \n", "5 0.213539 0.536814 0.154475 -0.100825 0.038144 -0.084122 \n", "6 -0.056396 0.420524 -0.149171 -0.286969 0.322883 -0.027925 \n", "7 0.396139 0.065827 -0.170260 0.427970 -0.156361 -0.405934 \n", "8 -0.508619 0.075283 0.307694 -0.200449 -0.271403 -0.286035 \n", "9 0.211605 -0.309080 -0.027125 0.052799 0.067870 -0.320131 \n", "10 -0.225917 0.076486 -0.498691 0.479314 0.071289 0.304341 \n", "11 -0.266286 0.121696 -0.049622 -0.055743 0.062220 -0.303882 \n", "12 0.014970 0.025964 -0.141218 0.091683 0.056774 -0.463908 \n", "\n", " Flavanoids NonFlavanoidPhenols Proanthocyanins Color Hue \\\n", "0 0.422934 -0.298533 0.313429 -0.088617 0.296715 \n", "1 -0.003360 0.028779 0.039302 0.529996 -0.279235 \n", "2 0.150682 0.170368 0.149454 -0.137306 0.085222 \n", "3 0.152295 -0.203301 0.399057 0.065926 -0.427771 \n", "4 -0.109026 -0.500703 0.136860 -0.076437 -0.173615 \n", "5 -0.018920 -0.258594 -0.533795 -0.418644 0.105983 \n", "6 -0.060685 0.595447 0.372139 -0.227712 0.232076 \n", "7 -0.187245 -0.233285 0.368227 -0.033797 0.436624 \n", "8 -0.049578 -0.195501 0.209145 -0.056218 -0.085828 \n", "9 -0.163151 0.215535 0.134184 -0.290775 -0.522399 \n", "10 -0.025694 0.116896 -0.237363 0.031839 -0.048212 \n", "11 -0.042899 0.042352 -0.095553 0.604222 0.259214 \n", "12 0.832257 0.114040 -0.116917 -0.011993 -0.089889 \n", "\n", " ODRatio Proline \n", "0 0.376167 0.286752 \n", "1 -0.164496 0.364903 \n", "2 0.166005 -0.126746 \n", "3 0.184121 -0.232071 \n", "4 -0.101161 -0.157869 \n", "5 0.265851 0.119726 \n", "6 -0.044764 0.076805 \n", "7 -0.078108 0.120023 \n", "8 -0.137227 0.575786 \n", "9 0.523706 0.162116 \n", "10 0.046423 0.539270 \n", "11 0.600959 -0.079402 \n", "12 -0.156718 0.014447 \n" ] } ], "source": [ "# Reset display options to default\n", "pd.reset_option('display.max_columns')\n", "pd.reset_option('display.expand_frame_repr')\n", "\n", "# Display loadings\n", "print(\"Loadings:\")\n", "print(pd.DataFrame(pca.components_, columns=wine_predictors.columns))" ] }, { "cell_type": "code", "execution_count": 11, "id": "d5770cfc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " PC1 PC2 PC3 PC4 PC5 \\\n", "Alcohol 0.144329 0.483652 -0.207383 -0.017856 -0.265664 \n", "MalicAcid -0.245188 0.224931 0.089013 0.536890 0.035214 \n", "Ash -0.002051 0.316069 0.626224 -0.214176 -0.143025 \n", "AlkalinityAsh -0.239320 -0.010591 0.612080 0.060859 0.066103 \n", "Mg 0.141992 0.299634 0.130757 -0.351797 0.727049 \n", "Phenols 0.394661 0.065040 0.146179 0.198068 -0.149318 \n", "Flavanoids 0.422934 -0.003360 0.150682 0.152295 -0.109026 \n", "NonFlavanoidPhenols -0.298533 0.028779 0.170368 -0.203301 -0.500703 \n", "Proanthocyanins 0.313429 0.039302 0.149454 0.399057 0.136860 \n", "Color -0.088617 0.529996 -0.137306 0.065926 -0.076437 \n", "Hue 0.296715 -0.279235 0.085222 -0.427771 -0.173615 \n", "ODRatio 0.376167 -0.164496 0.166005 0.184121 -0.101161 \n", "Proline 0.286752 0.364903 -0.126746 -0.232071 -0.157869 \n", "\n", " PC6 PC7 PC8 PC9 PC10 \\\n", "Alcohol 0.213539 -0.056396 0.396139 -0.508619 0.211605 \n", "MalicAcid 0.536814 0.420524 0.065827 0.075283 -0.309080 \n", "Ash 0.154475 -0.149171 -0.170260 0.307694 -0.027125 \n", "AlkalinityAsh -0.100825 -0.286969 0.427970 -0.200449 0.052799 \n", "Mg 0.038144 0.322883 -0.156361 -0.271403 0.067870 \n", "Phenols -0.084122 -0.027925 -0.405934 -0.286035 -0.320131 \n", "Flavanoids -0.018920 -0.060685 -0.187245 -0.049578 -0.163151 \n", "NonFlavanoidPhenols -0.258594 0.595447 -0.233285 -0.195501 0.215535 \n", "Proanthocyanins -0.533795 0.372139 0.368227 0.209145 0.134184 \n", "Color -0.418644 -0.227712 -0.033797 -0.056218 -0.290775 \n", "Hue 0.105983 0.232076 0.436624 -0.085828 -0.522399 \n", "ODRatio 0.265851 -0.044764 -0.078108 -0.137227 0.523706 \n", "Proline 0.119726 0.076805 0.120023 0.575786 0.162116 \n", "\n", " PC11 PC12 PC13 \n", "Alcohol -0.225917 -0.266286 0.014970 \n", "MalicAcid 0.076486 0.121696 0.025964 \n", "Ash -0.498691 -0.049622 -0.141218 \n", "AlkalinityAsh 0.479314 -0.055743 0.091683 \n", "Mg 0.071289 0.062220 0.056774 \n", "Phenols 0.304341 -0.303882 -0.463908 \n", "Flavanoids -0.025694 -0.042899 0.832257 \n", "NonFlavanoidPhenols 0.116896 0.042352 0.114040 \n", "Proanthocyanins -0.237363 -0.095553 -0.116917 \n", "Color 0.031839 0.604222 -0.011993 \n", "Hue -0.048212 0.259214 -0.089889 \n", "ODRatio 0.046423 0.600959 -0.156718 \n", "Proline 0.539270 -0.079402 0.014447 \n" ] } ], "source": [ "# Create a DataFrame for loadings\n", "loadings_df = pd.DataFrame(pca.components_.T, columns=[f\"PC{i+1}\" for i in range(pca_out.shape[1])], index=wine_predictors.columns)\n", "\n", "# Display loadings\n", "print(loadings_df)" ] }, { "cell_type": "code", "execution_count": 12, "id": "81efa4dd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " PC1 PC2 PC3 PC4 PC5 PC6 PC7 \\\n", "0 0.144329 0.483652 -0.207383 -0.017856 -0.265664 0.213539 -0.056396 \n", "1 -0.245188 0.224931 0.089013 0.536890 0.035214 0.536814 0.420524 \n", "2 -0.002051 0.316069 0.626224 -0.214176 -0.143025 0.154475 -0.149171 \n", "3 -0.239320 -0.010591 0.612080 0.060859 0.066103 -0.100825 -0.286969 \n", "4 0.141992 0.299634 0.130757 -0.351797 0.727049 0.038144 0.322883 \n", "5 0.394661 0.065040 0.146179 0.198068 -0.149318 -0.084122 -0.027925 \n", "6 0.422934 -0.003360 0.150682 0.152295 -0.109026 -0.018920 -0.060685 \n", "7 -0.298533 0.028779 0.170368 -0.203301 -0.500703 -0.258594 0.595447 \n", "8 0.313429 0.039302 0.149454 0.399057 0.136860 -0.533795 0.372139 \n", "9 -0.088617 0.529996 -0.137306 0.065926 -0.076437 -0.418644 -0.227712 \n", "10 0.296715 -0.279235 0.085222 -0.427771 -0.173615 0.105983 0.232076 \n", "11 0.376167 -0.164496 0.166005 0.184121 -0.101161 0.265851 -0.044764 \n", "12 0.286752 0.364903 -0.126746 -0.232071 -0.157869 0.119726 0.076805 \n", "\n", " PC8 PC9 PC10 PC11 PC12 PC13 \n", "0 0.396139 -0.508619 0.211605 -0.225917 -0.266286 0.014970 \n", "1 0.065827 0.075283 -0.309080 0.076486 0.121696 0.025964 \n", "2 -0.170260 0.307694 -0.027125 -0.498691 -0.049622 -0.141218 \n", "3 0.427970 -0.200449 0.052799 0.479314 -0.055743 0.091683 \n", "4 -0.156361 -0.271403 0.067870 0.071289 0.062220 0.056774 \n", "5 -0.405934 -0.286035 -0.320131 0.304341 -0.303882 -0.463908 \n", "6 -0.187245 -0.049578 -0.163151 -0.025694 -0.042899 0.832257 \n", "7 -0.233285 -0.195501 0.215535 0.116896 0.042352 0.114040 \n", "8 0.368227 0.209145 0.134184 -0.237363 -0.095553 -0.116917 \n", "9 -0.033797 -0.056218 -0.290775 0.031839 0.604222 -0.011993 \n", "10 0.436624 -0.085828 -0.522399 -0.048212 0.259214 -0.089889 \n", "11 -0.078108 -0.137227 0.523706 0.046423 0.600959 -0.156718 \n", "12 0.120023 0.575786 0.162116 0.539270 -0.079402 0.014447 \n" ] } ], "source": [ "# Create a DataFrame for eigenvectors\n", "eigenvectors_df = pd.DataFrame(pca.components_.T, columns=[f\"PC{i+1}\" for i in range(pca_out.shape[1])])\n", "print(eigenvectors_df)" ] }, { "cell_type": "code", "execution_count": 13, "id": "c7246808", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " v1 v2 v3 v4 v5 v6 v7 \\\n", "0 -0.144329 0.483652 0.207383 -0.017856 -0.265664 0.213539 0.056396 \n", "1 0.245188 0.224931 -0.089013 0.536890 0.035214 0.536814 -0.420524 \n", "2 0.002051 0.316069 -0.626224 -0.214176 -0.143025 0.154475 0.149171 \n", "3 0.239320 -0.010591 -0.612080 0.060859 0.066103 -0.100825 0.286969 \n", "4 -0.141992 0.299634 -0.130757 -0.351797 0.727049 0.038144 -0.322883 \n", "5 -0.394661 0.065040 -0.146179 0.198068 -0.149318 -0.084122 0.027925 \n", "6 -0.422934 -0.003360 -0.150682 0.152295 -0.109026 -0.018920 0.060685 \n", "7 0.298533 0.028779 -0.170368 -0.203301 -0.500703 -0.258594 -0.595447 \n", "8 -0.313429 0.039302 -0.149454 0.399057 0.136860 -0.533795 -0.372139 \n", "9 0.088617 0.529996 0.137306 0.065926 -0.076437 -0.418644 0.227712 \n", "10 -0.296715 -0.279235 -0.085222 -0.427771 -0.173615 0.105983 -0.232076 \n", "11 -0.376167 -0.164496 -0.166005 0.184121 -0.101161 0.265851 0.044764 \n", "12 -0.286752 0.364903 0.126746 -0.232071 -0.157869 0.119726 -0.076805 \n", "\n", " v8 v9 v10 v11 v12 v13 \n", "0 -0.014970 0.396139 -0.266286 -0.508619 -0.225917 0.211605 \n", "1 -0.025964 0.065827 0.121696 0.075283 0.076486 -0.309080 \n", "2 0.141218 -0.170260 -0.049622 0.307694 -0.498691 -0.027125 \n", "3 -0.091683 0.427970 -0.055743 -0.200449 0.479314 0.052799 \n", "4 -0.056774 -0.156361 0.062220 -0.271403 0.071289 0.067870 \n", "5 0.463908 -0.405934 -0.303882 -0.286035 0.304341 -0.320131 \n", "6 -0.832257 -0.187245 -0.042899 -0.049578 -0.025694 -0.163151 \n", "7 -0.114040 -0.233285 0.042352 -0.195501 0.116896 0.215535 \n", "8 0.116917 0.368227 -0.095553 0.209145 -0.237363 0.134184 \n", "9 0.011993 -0.033797 0.604222 -0.056218 0.031839 -0.290775 \n", "10 0.089889 0.436624 0.259214 -0.085828 -0.048212 -0.522399 \n", "11 0.156718 -0.078108 0.600959 -0.137227 0.046423 0.523706 \n", "12 -0.014447 0.120023 -0.079402 0.575786 0.539270 0.162116 \n" ] } ], "source": [ "# Create a DataFrame for eigenvectors\n", "eigenvectors_df1 = pd.DataFrame(eigenvectors, columns=[f\"v{i+1}\" for i in range(pca_out.shape[1])])\n", "print(eigenvectors_df1)" ] }, { "cell_type": "code", "execution_count": 14, "id": "c1cad326", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Scores:\n", " PC1 PC2 PC3 PC4 PC5 PC6 PC7 \\\n", "0 3.316751 1.443463 -0.165739 -0.215631 0.693043 0.223880 0.596427 \n", "1 2.209465 -0.333393 -2.026457 -0.291358 -0.257655 0.927120 0.053776 \n", "2 2.516740 1.031151 0.982819 0.724902 -0.251033 -0.549276 0.424205 \n", "3 3.757066 2.756372 -0.176192 0.567983 -0.311842 -0.114431 -0.383337 \n", "4 1.008908 0.869831 2.026688 -0.409766 0.298458 0.406520 0.444074 \n", ".. ... ... ... ... ... ... ... \n", "173 -3.370524 2.216289 -0.342570 1.058527 -0.574164 1.108788 0.958416 \n", "174 -2.601956 1.757229 0.207581 0.349496 0.255063 0.026465 0.146894 \n", "175 -2.677839 2.760899 -0.940942 0.312035 1.271355 -0.273068 0.679235 \n", "176 -2.387017 2.297347 -0.550696 -0.688285 0.813955 -1.178783 0.633975 \n", "177 -3.208758 2.768920 1.013914 0.596903 -0.895193 -0.296092 0.005741 \n", "\n", " PC8 PC9 PC10 PC11 PC12 PC13 \n", "0 -0.065139 -0.641443 1.020956 -0.451563 0.540810 -0.066239 \n", "1 -1.024416 0.308847 0.159701 -0.142657 0.388238 0.003637 \n", "2 0.344216 1.177834 0.113361 -0.286673 0.000584 0.021717 \n", "3 -0.643593 -0.052544 0.239413 0.759584 -0.242020 -0.369484 \n", "4 -0.416700 -0.326819 -0.078366 -0.525945 -0.216664 -0.079364 \n", ".. ... ... ... ... ... ... \n", "173 0.146097 0.022498 -0.304117 0.139228 0.170786 -0.114427 \n", "174 0.552427 0.097969 -0.206061 0.258198 -0.279431 -0.187371 \n", "175 -0.047024 -0.001222 -0.247997 0.512492 0.698766 0.072078 \n", "176 -0.390829 -0.057448 0.491490 0.299822 0.339821 -0.021866 \n", "177 0.292914 -0.741660 -0.117969 -0.229964 -0.188788 -0.323965 \n", "\n", "[178 rows x 13 columns]\n" ] } ], "source": [ "# Display scores\n", "print(\"Scores:\")\n", "print(pd.DataFrame(pca_out, columns=[f\"PC{i+1}\" for i in range(pca_out.shape[1])]))" ] }, { "cell_type": "code", "execution_count": 15, "id": "77465c45", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot PCA\n", "plt.figure(figsize=(8, 6))\n", "plt.scatter(pca_out[:, 0], pca_out[:, 1])\n", "plt.title(\"PCA Plot\")\n", "plt.xlabel(\"PC1\")\n", "plt.ylabel(\"PC2\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "id": "0e8dfefb", "metadata": {}, "outputs": [], "source": [ "# Explained variance by each principal component\n", "explained_variance_ratio = pca.explained_variance_ratio_" ] }, { "cell_type": "code", "execution_count": 17, "id": "71ea6f7b", "metadata": {}, "outputs": [], "source": [ "# Cumulative explained variance\n", "cumulative_variance = np.cumsum(explained_variance_ratio)" ] }, { "cell_type": "code", "execution_count": 18, "id": "f98bf01f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot scree plot\n", "plt.figure(figsize=(8, 6))\n", "plt.plot(range(1, len(explained_variance_ratio) + 1), explained_variance_ratio, marker='o', label='Individual PC')\n", "plt.plot(range(1, len(cumulative_variance) + 1), cumulative_variance, marker='o', linestyle='--', label='Cumulative')\n", "plt.title('Scree Plot')\n", "plt.xlabel('Principal Component')\n", "plt.ylabel('Explained Variance Ratio')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "id": "3c54b217", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Sort indices by decreasing explained variance\n", "sorted_indices = np.argsort(explained_variance_ratio)[::-1]\n", "\n", "# Sort explained variance and cumulative variance accordingly\n", "sorted_explained_variance = explained_variance_ratio[sorted_indices]\n", "cumulative_variance = np.cumsum(sorted_explained_variance)\n", "\n", "# Plot Pareto chart\n", "fig, ax1 = plt.subplots(figsize=(10, 6))\n", "\n", "# Bar plot for individual explained variance\n", "ax1.bar(range(1, len(sorted_explained_variance) + 1), sorted_explained_variance, color='blue', alpha=0.7, label='Individual PC')\n", "ax1.set_xlabel('Principal Component')\n", "ax1.set_ylabel('Explained Variance Ratio', color='blue')\n", "ax1.tick_params('y', colors='blue')\n", "\n", "# Line plot for cumulative explained variance (on a secondary y-axis)\n", "ax2 = ax1.twinx()\n", "ax2.plot(range(1, len(cumulative_variance) + 1), cumulative_variance, color='red', marker='o', linestyle='--', label='Cumulative')\n", "ax2.set_ylabel('Cumulative Explained Variance Ratio', color='red')\n", "ax2.tick_params('y', colors='red')\n", "\n", "# Title and legend\n", "plt.title('Pareto Chart')\n", "plt.legend(loc='upper left')\n", "\n", "# Show the plot\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 20, "id": "14006c53", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/12/8kgz6g6j7r9d3hb2nqwh_q3w0000gn/T/ipykernel_7340/4044505666.py:18: FutureWarning: Using print(plot) to draw and show the plot figure is deprecated and will be removed in a future version. Use plot.show().\n" ] }, { "data": { "image/png": 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}, "metadata": { "image/png": { "height": 480, "width": 640 } }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "# Create dataframe from PCA output for further analysis or visualization\n", "pca_out_df = pd.DataFrame(pca_out, columns=[f\"PC{i+1}\" for i in range(pca_out.shape[1])])\n", "\n", "# Create a DataFrame with WineClass for groups\n", "WineData['WineClass'] = WineData['WineClass'].astype(str)\n", "group_df = pd.DataFrame({'WineClass': WineData['WineClass']})\n", "\n", "# Combine principal components and group information\n", "combined_df = pd.concat([pca_out_df, group_df], axis=1)\n", "\n", "# Create a ggplot biplot\n", "g = ggplot(combined_df, aes(x='PC1', y='PC2', color='WineClass', label=combined_df.index)) + \\\n", " geom_point(size=2) + \\\n", " geom_text(nudge_x=0.2, nudge_y=0.2, size=6) + \\\n", " theme_bw()\n", "\n", "# Display the biplot\n", "print(g)" ] }, { "cell_type": "code", "execution_count": null, "id": "086820ec", "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": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 5 }