Created
September 2, 2024 15:29
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Imputation diversity vs inferential performance
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "id": "ccabe810-e4b4-47e1-b3fc-a1a9c4fc0fc8", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import seaborn as sns\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import pandas as pd\n", | |
| "def scatter_text(x, y, text_column, data, title, xlabel, ylabel):\n", | |
| " \"\"\"Scatter plot with country codes on the x y coordinates\n", | |
| " Based on this answer: https://stackoverflow.com/a/54789170/2641825\"\"\"\n", | |
| " # Create the scatter plot\n", | |
| " p1 = sns.scatterplot(x=x, y=y, data=data, size = 8, legend=False)\n", | |
| " # Add text besides each point\n", | |
| " for line in range(0,data.shape[0]):\n", | |
| " p1.text(data[x][line]+0.01, data[y][line], \n", | |
| " data[text_column][line], horizontalalignment='left', \n", | |
| " size='medium', color='black')\n", | |
| " # Set title and axis labels\n", | |
| " plt.title(title)\n", | |
| " plt.xlabel(xlabel)\n", | |
| " plt.ylabel(ylabel, rotation=0, ha='right', va='center')\n", | |
| " plt.tight_layout();\n", | |
| " return p1" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 24, | |
| "id": "51ecee65-1ba6-4a5a-95aa-42f84d1f1c52", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "df = pd.DataFrame({\n", | |
| " 'MAD ↓' : [8.4, 1.6, 3.6, 5.4, 8.4, 3.7, 6.9, 3.2, 3.7],\n", | |
| " 'Pbias ↓' : [6.2, 5.7, 5.5, 5.5, 6.3, 5.3, 4.7, 3.2, 2.7],\n", | |
| " 'Covrate ↓': [5.4, 5.2, 4.1, 3.2, 6.5, 4.8, 5.1, 5.4, 5.4],\n", | |
| " 'Method': ['KNN', 'ICE', 'MICE-Forest', 'MissForest', 'Softimpute', 'OT', 'GAIN', 'Forest-VP', 'UTrees'],\n", | |
| "})" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "id": "cf6e78ad-8228-497c-82f7-d19a35f54b64", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.figure();\n", | |
| "scatter_text(\n", | |
| " data=df,\n", | |
| " x='MAD ↓', y='Pbias ↓', text_column='Method',\n", | |
| " title='Inference % bias vs diversity',\n", | |
| " xlabel='MAD ↓', ylabel='Pbias ↓');\n", | |
| "plt.figure();\n", | |
| "scatter_text(\n", | |
| " data=df,\n", | |
| " x='MAD ↓', y='Covrate ↓', text_column='Method',\n", | |
| " title='Inference coverage rate vs diversity',\n", | |
| " xlabel='MAD ↓', ylabel='Covrate ↓');" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "id": "99396916-42b7-436c-b8dd-387f8853f564", | |
| "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": "3.9.19" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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Data comes from Table 1 of https://arxiv.org/pdf/2407.05593v1, with most method raw results taken from https://arxiv.org/pdf/2309.09968