{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import json\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "# display settings to show all columns\n", "pd.set_option('display.max_columns', None)\n", "# display settings to show full text in columns\n", "pd.set_option('display.max_colwidth', None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model run on 7/2/2024 using split_SMOTE_crossval.py" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Load results\n", "model_results = pd.read_csv('split_SMOTE_crossval_results.csv')\n", "#model_results.columns" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Load predictions\n", "model_predictions = pd.read_csv('bequest_prediciton_alive_20240702.csv')\n", "#model_predictions.columns" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Load full dataset used for training and testing\n", "bequests_clean = pd.read_csv('bequests_clean.csv')\n", "#bequests_clean.columns" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1376" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Count unique ROI_FAMILY_IDs in the model results\n", "model_predictions['ROI_FAMILY_ID'].nunique()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4520004" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Count unique ROI_FAMILY_IDs in the full dataset\n", "bequests_clean['ROI_FAMILY_ID'].nunique()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Identify all \"alive\" bequestors" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "33" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Unique bequests_clean['ROI_FAMILY_ID'] where 'BEQUEST_RECEIVED' = 1 and DEATH_FLAG = 0\n", "bequests_clean[(bequests_clean['BEQUEST_RECEIVED'] == 1) & \n", " (bequests_clean['DEATH_FLAG'] == 0)]['ROI_FAMILY_ID'].nunique()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Create list of unique ROI_FAMILY_IDs where 'BEQUEST_RECEIVED' = 1 and DEATH_FLAG = 0\n", "bequest_alive = bequests_clean[(bequests_clean['BEQUEST_RECEIVED'] == 1) & \n", " (bequests_clean['DEATH_FLAG'] == 0)]['ROI_FAMILY_ID'].unique()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How many \"alive\" bequestors were found by the model?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "30" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# How many unique ROI_FAMILY_IDs are in both model_predictions and bequest_alive\n", "len(set(model_predictions['ROI_FAMILY_ID']).intersection(set(bequest_alive)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What was the observed recall?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9090909090909091" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "30/33" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mark the predicted bequestors in the bequests_clean dataset" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Create bequests_clean['FUTURE_BEQUESTOR'] = 1 when model_predictions['ROI_FAMILY_ID'] is in bequests_clean['ROI_FAMILY_ID']\n", "bequests_clean['FUTURE_BEQUESTOR'] = bequests_clean['ROI_FAMILY_ID'].isin(model_predictions['ROI_FAMILY_ID']).astype(int)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Restructure report df to describe modeling metrics" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Function to flatten a JSON column (classification_report)\n", "def flatten_json_column(df, column):\n", " # Parse the JSON data\n", " json_data = df[column].apply(json.loads)\n", " # Create a new DataFrame with the flattened data\n", " json_df = pd.json_normalize(json_data)\n", " # Concatenate the original DataFrame with the new flattened DataFrame\n", " df = pd.concat([df, json_df], axis=1)\n", " # Drop the original JSON column\n", " df.drop(column, axis=1, inplace=True)\n", " return df" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# List of columns containing JSON arrays to be flattened\n", "json_columns = ['classification_report']" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Flatten each JSON column\n", "for column in json_columns:\n", " model_results = flatten_json_column(model_results, column)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Function to flatten the feature_importance column\n", "def flatten_feature_importance(df, column):\n", " # Parse the JSON data\n", " flattened_data = []\n", " for entry in df[column]:\n", " try:\n", " feature_data = json.loads(entry.replace(\"'\", '\"'))\n", " flattened_row = {}\n", " for idx, (feature, importance) in enumerate(zip(feature_data['Feature'], feature_data['Importance'])):\n", " flattened_row[f\"feature_{idx+1}\"] = feature\n", " flattened_row[f\"feature_{idx+1}_score\"] = importance\n", " flattened_data.append(flattened_row)\n", " except json.JSONDecodeError:\n", " print(f\"Failed to parse JSON: {entry}\")\n", " flattened_data.append({})\n", " # Convert the flattened data into a DataFrame\n", " feature_df = pd.DataFrame(flattened_data)\n", " # Concatenate the original DataFrame with the new flattened DataFrame\n", " df = pd.concat([df, feature_df], axis=1)\n", " # Drop the original feature_importance column\n", " df.drop(column, axis=1, inplace=True)\n", " return df\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Flatten the feature_importance column\n", "model_results = flatten_feature_importance(model_results, 'feature_importance')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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imputeraccuracyauc_praccuracy0.precision0.recall0.f1-score0.support1.precision1.recall1.f1-score1.supportmacro avg.precisionmacro avg.recallmacro avg.f1-scoremacro avg.supportweighted avg.precisionweighted avg.recallweighted avg.f1-scoreweighted avg.supportfeature_1feature_1_scorefeature_2feature_2_scorefeature_3feature_3_scorefeature_4feature_4_scorefeature_5feature_5_scorefeature_6feature_6_scorefeature_7feature_7_scorefeature_8feature_8_scorefeature_9feature_9_scorefeature_10feature_10_scorefeature_11feature_11_scorefeature_12feature_12_scorefeature_13feature_13_scorefeature_14feature_14_scorefeature_15feature_15_scorefeature_16feature_16_scorefeature_17feature_17_scorefeature_18feature_18_scorefeature_19feature_19_score
2mice0.9984110.8801030.9984110.9995210.9988840.99920294057.00.7558140.8783780.8125370.00.8776680.9386310.90585194427.00.9985660.9984110.99847194427.0HPC_AMOUNT0.228298MRC_AMOUNT0.201433YEARS_SINCE_HPC_GIFT0.146419TOTAL_AMOUNT0.143256YEARS_SINCE_MRC_GIFT0.112135YEARS_SINCE_FIRST_GIFT0.039562FIRST_GIFT_AMOUNT0.038579TOTAL_TRANSACTIONS0.034014BIRTH_YEAR0.027341REGION_CODE_PARO0.003979REGION_CODE_MARO0.003973REGION_CODE_MWRO0.003866REGION_CODE_NERO0.003536REGION_CODE_SWRO0.003177REGION_CODE_SERO0.002632REGION_CODE_SCRO0.002519REGION_CODE_TXRO0.001848REGION_CODE_NWRO0.001833REGION_CODE_NRRO0.001599
\n", "
" ], "text/plain": [ " imputer accuracy auc_pr accuracy 0.precision 0.recall 0.f1-score \\\n", "2 mice 0.998411 0.880103 0.998411 0.999521 0.998884 0.999202 \n", "\n", " 0.support 1.precision 1.recall 1.f1-score 1.support \\\n", "2 94057.0 0.755814 0.878378 0.8125 370.0 \n", "\n", " macro avg.precision macro avg.recall macro avg.f1-score \\\n", "2 0.877668 0.938631 0.905851 \n", "\n", " macro avg.support weighted avg.precision weighted avg.recall \\\n", "2 94427.0 0.998566 0.998411 \n", "\n", " weighted avg.f1-score weighted avg.support feature_1 feature_1_score \\\n", "2 0.998471 94427.0 HPC_AMOUNT 0.228298 \n", "\n", " feature_2 feature_2_score feature_3 feature_3_score \\\n", "2 MRC_AMOUNT 0.201433 YEARS_SINCE_HPC_GIFT 0.146419 \n", "\n", " feature_4 feature_4_score feature_5 feature_5_score \\\n", "2 TOTAL_AMOUNT 0.143256 YEARS_SINCE_MRC_GIFT 0.112135 \n", "\n", " feature_6 feature_6_score feature_7 \\\n", "2 YEARS_SINCE_FIRST_GIFT 0.039562 FIRST_GIFT_AMOUNT \n", "\n", " feature_7_score feature_8 feature_8_score feature_9 \\\n", "2 0.038579 TOTAL_TRANSACTIONS 0.034014 BIRTH_YEAR \n", "\n", " feature_9_score feature_10 feature_10_score feature_11 \\\n", "2 0.027341 REGION_CODE_PARO 0.003979 REGION_CODE_MARO \n", "\n", " feature_11_score feature_12 feature_12_score feature_13 \\\n", "2 0.003973 REGION_CODE_MWRO 0.003866 REGION_CODE_NERO \n", "\n", " feature_13_score feature_14 feature_14_score feature_15 \\\n", "2 0.003536 REGION_CODE_SWRO 0.003177 REGION_CODE_SERO \n", "\n", " feature_15_score feature_16 feature_16_score feature_17 \\\n", "2 0.002632 REGION_CODE_SCRO 0.002519 REGION_CODE_TXRO \n", "\n", " feature_17_score feature_18 feature_18_score feature_19 \\\n", "2 0.001848 REGION_CODE_NWRO 0.001833 REGION_CODE_NRRO \n", "\n", " feature_19_score \n", "2 0.001599 " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Display results where imputer = 'mice'\n", "model_results[model_results['imputer'] == 'mice']" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Data for feature importance from the MICE imputer\n", "data = {\n", " 'Feature': ['HPC_AMOUNT', 'MRC_AMOUNT', 'YEARS_SINCE_HPC_GIFT', 'TOTAL_AMOUNT', 'YEARS_SINCE_MRC_GIFT',\n", " 'YEARS_SINCE_FIRST_GIFT', 'FIRST_GIFT_AMOUNT', 'TOTAL_TRANSACTIONS', 'BIRTH_YEAR', \n", " 'REGION_CODE_PARO', 'REGION_CODE_MARO', 'REGION_CODE_MWRO', 'REGION_CODE_NERO', \n", " 'REGION_CODE_SWRO', 'REGION_CODE_SERO', 'REGION_CODE_SCRO', 'REGION_CODE_TXRO', \n", " 'REGION_CODE_NWRO', 'REGION_CODE_NRRO'],\n", " 'Importance': [0.228298, 0.201433, 0.146419, 0.143256, 0.112135, 0.039562, 0.038579, 0.034014, \n", " 0.027341, 0.003979, 0.003973, 0.003866, 0.003536, 0.003177, 0.002632, 0.002519, \n", " 0.001848, 0.001833, 0.001599]\n", "}\n", "\n", "mice_results = pd.DataFrame(data)\n", "\n", "# Create a custom palette with 11 colors from the icefire palette\n", "custom_palette = sns.color_palette(\"tab20\", 20)\n", "\n", "# Use the custom color palette\n", "sns.set_palette(custom_palette)\n", "\n", "# Plotting the feature importance\n", "plt.figure(figsize=(10, 6))\n", "plt.barh(mice_results['Feature'], mice_results['Importance'], color=custom_palette)\n", "plt.xlabel('Importance')\n", "plt.ylabel('Feature')\n", "plt.title('Feature Importance (MICE Imputer)')\n", "plt.gca().invert_yaxis()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Summarize info about predicted future bequestors" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Create subset of bequests_clean showing just FUTURE_BEQUESTOR = 1\n", "bequests_clean_future_bequestors = bequests_clean[bequests_clean['FUTURE_BEQUESTOR'] == 1]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "BIRTH_YEAR 0.124909\n", "ROI_ID 0.000000\n", "DEATH_FLAG 0.000000\n", "LE 0.000000\n", "BEQUEST_RECEIVED 0.000000\n", "YEARS_SINCE_HPC_GIFT 0.000000\n", "YEARS_SINCE_MRC_GIFT 0.000000\n", "YEARS_SINCE_FIRST_GIFT 0.000000\n", "HPC_AMOUNT 0.000000\n", "ROI_FAMILY_ID 0.000000\n", "MRC_AMOUNT 0.000000\n", "FIRST_GIFT_AMOUNT 0.000000\n", "TOTAL_AMOUNT 0.000000\n", "TOTAL_TRANSACTIONS 0.000000\n", "REGION_CODE 0.000000\n", "STATE 0.000000\n", "FUTURE_BEQUESTOR 0.000000\n", "dtype: float64" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Percentage of blank values in each column\n", "bequests_clean_future_bequestors.isnull().mean().sort_values(ascending=False)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Create AGE column in bequests_clean_future_bequestor BIRTH_YEAR\n", "# Ensure bequests_clean_future_bequestors is a standalone DataFrame to avoid SettingWithCopyWarning\n", "bequests_clean_future_bequestors = bequests_clean_future_bequestors.copy()\n", "# Create AGE column\n", "bequests_clean_future_bequestors['AGE'] = 2024 - bequests_clean_future_bequestors['BIRTH_YEAR']" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# Drop records where DEATH_FLAG = 1\n", "bequests_clean_future_bequestors = bequests_clean_future_bequestors[bequests_clean_future_bequestors['DEATH_FLAG'] == 0]" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Drop records where AGE is greater than 85\n", "bequests_clean_future_bequestors = bequests_clean_future_bequestors[bequests_clean_future_bequestors['AGE'] <= 85]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of predicted future bequestors: 1019\n", "Predicted future bequestors summary:\n" ] }, { "data": { "text/html": [ "
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HPC_AMOUNTMRC_AMOUNTYEARS_SINCE_HPC_GIFTTOTAL_AMOUNTYEARS_SINCE_MRC_GIFTYEARS_SINCE_FIRST_GIFTFIRST_GIFT_AMOUNTTOTAL_TRANSACTIONSAGE
mean17537.727829.053.1085546.731.9816.162131.2118.2068.74
std59532.5822394.293.37521091.792.8611.356441.8123.1112.18
min420.0010.000.00600.000.000.005.001.0029.00
25%2500.002000.000.005000.000.007.0025.003.0062.00
50%5000.002500.002.0010932.001.0012.0050.0010.0072.00
75%10000.005000.005.0033106.253.0027.001262.5025.0078.00
max993532.50480000.0024.0013796611.0012.0041.0082390.72229.0085.00
\n", "
" ], "text/plain": [ " HPC_AMOUNT MRC_AMOUNT YEARS_SINCE_HPC_GIFT TOTAL_AMOUNT \\\n", "mean 17537.72 7829.05 3.10 85546.73 \n", "std 59532.58 22394.29 3.37 521091.79 \n", "min 420.00 10.00 0.00 600.00 \n", "25% 2500.00 2000.00 0.00 5000.00 \n", "50% 5000.00 2500.00 2.00 10932.00 \n", "75% 10000.00 5000.00 5.00 33106.25 \n", "max 993532.50 480000.00 24.00 13796611.00 \n", "\n", " YEARS_SINCE_MRC_GIFT YEARS_SINCE_FIRST_GIFT FIRST_GIFT_AMOUNT \\\n", "mean 1.98 16.16 2131.21 \n", "std 2.86 11.35 6441.81 \n", "min 0.00 0.00 5.00 \n", "25% 0.00 7.00 25.00 \n", "50% 1.00 12.00 50.00 \n", "75% 3.00 27.00 1262.50 \n", "max 12.00 41.00 82390.72 \n", "\n", " TOTAL_TRANSACTIONS AGE \n", "mean 18.20 68.74 \n", "std 23.11 12.18 \n", "min 1.00 29.00 \n", "25% 3.00 62.00 \n", "50% 10.00 72.00 \n", "75% 25.00 78.00 \n", "max 229.00 85.00 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Set display options to avoid scientific notation and round values\n", "pd.set_option('display.float_format', '{:.2f}'.format)\n", "\n", "print(\"Number of predicted future bequestors:\", bequests_clean_future_bequestors['ROI_FAMILY_ID'].nunique())\n", "print(\"Predicted future bequestors summary:\")\n", "summary = bequests_clean_future_bequestors[['HPC_AMOUNT', 'MRC_AMOUNT', 'YEARS_SINCE_HPC_GIFT',\n", " 'TOTAL_AMOUNT', 'YEARS_SINCE_MRC_GIFT', 'YEARS_SINCE_FIRST_GIFT',\n", " 'FIRST_GIFT_AMOUNT', 'TOTAL_TRANSACTIONS', 'AGE']].describe()\n", "# summary but drop the count row\n", "summary.drop('count', axis=0, inplace=True)\n", "summary" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define colors\n", "hist_color = '#393b79' \n", "\n", "# Plot age distribution of predicted future bequestors\n", "plt.figure(figsize=(10, 6))\n", "sns.histplot(bequests_clean_future_bequestors['AGE'], bins=20, kde=True, \n", " color=hist_color)\n", "plt.title('Approximate age distribution of predicted future bequestors')\n", "plt.xlabel('Age')\n", "plt.ylabel('Frequency')\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define colors\n", "hist_color = '#45818e' \n", "\n", "# Plot age distribution of predicted future bequestors\n", "plt.figure(figsize=(10, 6))\n", "sns.histplot(bequests_clean_future_bequestors['YEARS_SINCE_FIRST_GIFT'], bins=20, kde=True, \n", " color=hist_color)\n", "plt.title('Distribution of years since first gift for predicted future bequestors')\n", "plt.xlabel('Years since first gift')\n", "plt.ylabel('Frequency')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define colors\n", "hist_color = '#6aa84f' \n", "\n", "# Plot age distribution of predicted future bequestors\n", "plt.figure(figsize=(10, 6))\n", "sns.histplot(bequests_clean_future_bequestors['YEARS_SINCE_MRC_GIFT'], bins=20, kde=True, \n", " color=hist_color)\n", "plt.title('Distribution of years since MRC for predicted future bequestors')\n", "plt.xlabel('Years since MRC gift')\n", "plt.ylabel('Frequency')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show Frequency of predicted future bequestors by STATE \n", "\n", "# Create a custom palette with 11 colors from the icefire palette\n", "custom_palette = sns.color_palette(\"tab20\", 11)\n", "\n", "# Use the custom color palette\n", "sns.set_palette(custom_palette)\n", "\n", "plt.figure(figsize=(10, 6))\n", "sns.countplot(y='REGION_CODE', data=bequests_clean_future_bequestors, \n", " order=bequests_clean_future_bequestors['REGION_CODE'].value_counts().index,\n", " palette=custom_palette, hue='REGION_CODE')\n", "plt.title('Count of predicted future bequestors by Region')\n", "plt.xlabel('Count')\n", "plt.ylabel('Region')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# Write bequests_clean_future_bequestors to a CSV file\n", "bequests_clean_future_bequestors.to_csv('bequests_clean_future_bequestors.csv', index=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Explanation of PR AUC\n", "\n", "The Precision-Recall Area Under the Curve (PR AUC) is a crucial metric for evaluating models on imbalanced datasets like this one, where the number of bequestors (positive class) is significantly smaller than non-bequestors (negative class). PR AUC focuses on the performance with respect to the positive class (bequestors), making it more informative than accuracy in this context.\n", "\n", "Precision is the ratio of true positive predictions to the total number of positive predictions made by the model (true positives + false positives).\n", "\n", "Recall is the ratio of true positive predictions to the actual number of positive instances in the dataset (true positives + false negatives).\n", "\n", "By plotting precision against recall at various threshold settings, we obtain the Precision-Recall curve. The area under this curve (PR AUC) provides a single metric to summarize the model's ability to correctly identify bequestors. A PR AUC of 0.88 indicates that the model has a high capability to distinguish between bequestors and non-bequestors, balancing the trade-off between precision and recall effectively.\n", "\n", "### Conclusion\n", "The models with different imputation methods performed exceptionally well, with perfect accuracy and high PR AUC. The consistency in feature importance highlights the robustness of the predictors identified. The PR AUC of 0.88 underscores the model's effectiveness in identifying bequestors within an imbalanced dataset, making it a valuable tool for future donor analysis and prediction efforts." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "deathrates", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }