Files
cas-pml/SL/aufgaben/template/4_WS/Loesungen/WS 12 Loesung.ipynb
T
2026-05-21 14:16:30 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"toc": true
},
"source": [
"# WS 12 Sampling"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* das Original des Bankkundendatasets (bank-additional-full.csv) enthält 41187 Beobachtungen\n",
"* vergleichen Sie die Mengenverhältnisse von yes und no bei Samples von\n",
"1000 bis 40000 in Schritten von 1000"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\werne\\anaconda3\\Lib\\site-packages\\seaborn\\_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n",
"C:\\Users\\werne\\anaconda3\\Lib\\site-packages\\seaborn\\_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns; sns.set()\n",
"\n",
"#datapath = '../3_data'\n",
"datapath = '../../3_data'\n",
"from os import chdir; chdir(datapath)\n",
"\n",
"data = pd.read_csv('bank-additional-full.csv', sep=';')\n",
"vc = data.y.value_counts()\n",
"no_ratio_all = vc['no'] / data.shape[0]\n",
"\n",
"sizes = range(1000, 40100, 1000)\n",
"no_ratio_smpl = []\n",
"for size in sizes:\n",
" data_smpl = data.sample(n=size)\n",
" vc = data_smpl.y.value_counts()\n",
" no_ratio_smpl.append(vc['no'] / data_smpl.shape[0])\n",
"\n",
"## visualize results\n",
"ax = sns.lineplot(x=sizes, y=no_ratio_smpl)\n",
"plt.xlabel('smpl size')\n",
"plt.ylabel('no_ratio_smpl')\n",
"ax.axhline(no_ratio_all, ls='--', color='black');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
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"* die Abweichung gegenüber dem Wert auf dem vollendataset nimmt mit zunehmender Stichprobegrösse tatsächlich ab, wenn auch nicht stetig"
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