DSA_SoSe_24/Exploration.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"id": "f9f54623-f404-4987-b490-ff028230bf22",
"metadata": {},
"source": [
"## Explorative Datenanalyse\n",
"\n",
"In diesem Notebook wird eine explorative Datenanalyse durchgeführt, um die Struktur und die wichtigsten Merkmale des Datensatzes zu verstehen. \n",
"Die Bereinigung der Daten wird in dem Notebook \"Cleaning.ipynb\" durchgeführt, deshalb wird hier direkt mit den bereinigten Daten gearbeitet. \n",
"Es wird hauptsächlich mit Visualisierungsmethoden wie unterschiedlichen Diagrammen gearbeitet, um die Daten übersichtlich darzustellen. Außerdem werden Methoden der deskriptiven Statistik verwendet, um festzustellen, ob bestimmte Korrelationen und Muster (z. B. der Zusammenhang zwischen einem erhöhten Cholesterinwert und einer Erkrankung) in den Daten von statistischer Signifikanz sind oder auch auf zufällige Variationen zurückgeführt werden können."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "37d611da-6f56-46d8-905a-62026750150c",
"metadata": {
"tags": []
},
"outputs": [
{
"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>age</th>\n",
" <th>sex</th>\n",
" <th>cp</th>\n",
" <th>trestbps</th>\n",
" <th>chol</th>\n",
" <th>fbs</th>\n",
" <th>restecg</th>\n",
" <th>thalach</th>\n",
" <th>exang</th>\n",
" <th>oldpeak</th>\n",
" <th>slope</th>\n",
" <th>ca</th>\n",
" <th>thal</th>\n",
" <th>goal</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>63</td>\n",
" <td>male</td>\n",
" <td>1</td>\n",
" <td>145</td>\n",
" <td>233</td>\n",
" <td>1</td>\n",
" <td>2</td>\n",
" <td>150</td>\n",
" <td>0</td>\n",
" <td>2.3</td>\n",
" <td>3</td>\n",
" <td>0.0</td>\n",
" <td>6.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>67</td>\n",
" <td>male</td>\n",
" <td>4</td>\n",
" <td>160</td>\n",
" <td>286</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>108</td>\n",
" <td>1</td>\n",
" <td>1.5</td>\n",
" <td>2</td>\n",
" <td>3.0</td>\n",
" <td>3.0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>67</td>\n",
" <td>male</td>\n",
" <td>4</td>\n",
" <td>120</td>\n",
" <td>229</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>129</td>\n",
" <td>1</td>\n",
" <td>2.6</td>\n",
" <td>2</td>\n",
" <td>2.0</td>\n",
" <td>7.0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>37</td>\n",
" <td>male</td>\n",
" <td>3</td>\n",
" <td>130</td>\n",
" <td>250</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>187</td>\n",
" <td>0</td>\n",
" <td>3.5</td>\n",
" <td>3</td>\n",
" <td>0.0</td>\n",
" <td>3.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>41</td>\n",
" <td>female</td>\n",
" <td>2</td>\n",
" <td>130</td>\n",
" <td>204</td>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>172</td>\n",
" <td>0</td>\n",
" <td>1.4</td>\n",
" <td>1</td>\n",
" <td>0.0</td>\n",
" <td>3.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" age sex cp trestbps chol fbs restecg thalach exang oldpeak \\\n",
"0 63 male 1 145 233 1 2 150 0 2.3 \n",
"1 67 male 4 160 286 0 2 108 1 1.5 \n",
"2 67 male 4 120 229 0 2 129 1 2.6 \n",
"3 37 male 3 130 250 0 0 187 0 3.5 \n",
"4 41 female 2 130 204 0 2 172 0 1.4 \n",
"\n",
" slope ca thal goal \n",
"0 3 0.0 6.0 0 \n",
"1 2 3.0 3.0 1 \n",
"2 2 2.0 7.0 1 \n",
"3 3 0.0 3.0 0 \n",
"4 1 0.0 3.0 0 "
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"df = pd.read_csv('./data/dataset_cleaned.csv')\n",
"df['sex'] = df['sex'].replace({0: 'female', 1: 'male'})\n",
"\n",
"# extract all columns except 'goal' --> X\n",
"X = df.loc[:, df.columns != 'goal']\n",
"# extract only the column 'goal' --> y\n",
"y = df.loc[:, 'goal']\n",
"\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "6b3e5424-4a7e-4e53-82b9-d78e38939834",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"counts_male = sum(X['sex'] == 'male')\n",
"counts_female = sum(X['sex'] == 'female')\n",
"\n",
"counts_male_sick = sum(np.all([X['sex'] == 'male',\n",
" y > 0], axis=0))\n",
"counts_female_sick = sum(np.all([X['sex'] == 'female',\n",
" y > 0], axis=0))\n",
"\n",
"plt.bar([1, 0], [counts_male, counts_female])\n",
"plt.bar([1, 0], [counts_male_sick, counts_female_sick])\n",
"plt.xticks([1, 0],[f'male ({counts_male})', f'female ({counts_female})'])\n",
"plt.ylabel('n')\n",
"plt.title('Health/Sex')\n",
"plt.legend(['healthy', 'sick'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "66139486-85d3-45b6-b3fa-74e0eb6f235b",
"metadata": {},
"source": [
"Der obige Plot zeigt die Anzahl der kranken / gesunden Probanden aufgeteilt nach dem Geschlecht. \n",
"Es gibt etwa doppelt so viele männliche Probanden wie weibliche, von denen ca. die Hälfte an einer Herzerkreislauf-Erkrankung leiden.\n",
"Bei den Frauen sind lediglich 1/4 erkrankt."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "48fd2655-1dcc-41f6-9938-ef6ea937d52e",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\maxwi\\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": [
"sns.histplot(data=df, x='age', hue='goal', multiple='stack')\n",
"plt.xlabel('Age')\n",
"plt.ylabel('n')\n",
"plt.title('Age distribution')\n",
"plt.legend(['sick', 'healthy'])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b9174a9d-6c8a-4915-9580-48f23cbdd038",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = sns.violinplot(X, x='sex', y='age')\n",
"ax.set_xticklabels(['male', 'female'])\n",
"plt.title('Age distribution')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "522ff499-cd7f-4417-ae7d-d637402505b8",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\maxwi\\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": [
"sns.histplot(data=df, x='chol', hue='goal', multiple='stack')\n",
"plt.xlabel('Cholesterol')\n",
"plt.ylabel('n')\n",
"plt.title('Cholesterol distribution')\n",
"plt.legend(['sick', 'healthy'])\n",
"\n",
"upper_limit_chol = 200\n",
"plt.axvline(x=upper_limit_chol, color='red')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "82dbc7a2-bdfd-46d6-88a3-b652b06a1cf1",
"metadata": {},
"source": [
"Der Plot zeigt die Cholesterinverteilung der kranken und gesunden Probanden. Deutlich zu erkennen ist, dass die meisten Probanden einen erhöhten Cholesterinwert (>200) aufweisen."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f220fadf-33ec-4bf6-a225-a2c874f02088",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\maxwi\\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": [
"sns.histplot(data=df, x='trestbps', hue='goal', multiple='stack')\n",
"plt.xlabel('Blood pressure (rest)')\n",
"plt.ylabel('n')\n",
"plt.title('Blood pressure distribution')\n",
"plt.legend(['sick', 'healthy'])\n",
"\n",
"upper_limit_bp = 140\n",
"plt.axvline(x=upper_limit_bp, color='red')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "9d6e7a47-bc78-46b9-9550-13b2bde97aba",
"metadata": {},
"source": [
"Wie in der Grafik zu erkennen, haben die meisten Probanden einen unauffälligen Blutdruck von unter 140mmHg (systolisch). \n",
"Bei den Probanden mit Hypertonus (>140mmHg) ist die relative Häufigkeit an Herzkreislauferkrankungen deutlich erhöht."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "abe0020f-8588-48bf-af58-f67b326cdd25",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 6))\n",
"sns.boxplot(x='sex', y='trestbps', data=df)\n",
"plt.title('Blood pressure / sex')\n",
"plt.xlabel('Sex')\n",
"plt.ylabel('Blood pressure (rest)')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "5c174a9d-59b7-4efe-a0eb-a132388c1d2a",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"\n",
"model = LinearRegression()\n",
"x = np.array(X['age'])\n",
"x = x[:, np.newaxis]\n",
"reg = model.fit(x, X['chol'])\n",
"pred = reg.predict(x)\n",
"\n",
"sns.scatterplot(X, x='age', y='chol', hue='sex')\n",
"plt.plot(x, pred, color='black')\n",
"plt.xlabel('Age')\n",
"plt.ylabel('Chol')\n",
"plt.title('Chol / Age split by sex')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "e28e7c0f-c8ab-4afc-a1ae-b164397f108b",
"metadata": {},
"source": [
"Diese Grafik zeigt das Alter der Probanden im Verhältnis zu ihrem Cholesteringehalt aufgeteilt nach dem Geschlecht.\n",
"Deutlich zu erkennen ist der Anstieg von Cholesterin bei zunehmenden Alter."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "b3d627cf-3ec9-4cd9-bee6-5baeb9d1a22d",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model = LinearRegression()\n",
"x = np.array(X['chol'])\n",
"x = x[:, np.newaxis]\n",
"reg = model.fit(x, X['trestbps'])\n",
"pred = reg.predict(x)\n",
"\n",
"sns.scatterplot(X, x='chol', y='trestbps', hue='sex')\n",
"plt.plot(x, pred, color='black')\n",
"plt.xlabel('Chol')\n",
"plt.ylabel('Blood pressure (rest)')\n",
"plt.title('Blood pressure / Chol split by sex')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "027c0554-8f2b-47a4-8dc6-97fe492a3590",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 10,
"id": "3a6dc91a-f3e9-4d7e-9e4b-58c59d24463c",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"corr = df.loc[:,df.columns!='sex'].corr()\n",
"\n",
"sns.heatmap(corr)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "038d8abb-e88f-472d-95c4-bc0c51695196",
"metadata": {},
"source": [
"#### Cholesterinwerte im Vergleich Frauen/Männer"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "48e6d986-b7f9-45e6-8bf2-32e687eb132d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 6))\n",
"sns.boxplot(x='sex', y='chol', data=df)\n",
"plt.title('Cholesterol / sex')\n",
"plt.xlabel('Sex')\n",
"plt.ylabel('Cholesterol in mg/dl')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "3e85fdf6-3a77-41b0-bbc7-a407fbb1374f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Geschlecht Untere Grenze Obere Grenze\n",
"0 Männer 234.288517 246.199046\n",
"1 Frauen 249.044612 275.413721\n"
]
}
],
"source": [
"# confidence interval (95%) for cholesterol level of men/women\n",
"from scipy import stats\n",
"\n",
"# filter by gender and calculate interval\n",
"conf_level = 0.95\n",
"chol_men = df.loc[df['sex'] == 'male', 'chol']\n",
"chol_women = df.loc[df['sex'] == 'female', 'chol']\n",
"conf_int_men = stats.t.interval(conf_level, len(chol_men) - 1, loc=chol_men.mean(), scale=stats.sem(chol_men))\n",
"conf_int_women = stats.t.interval(conf_level, len(chol_women) - 1, loc=chol_women.mean(), scale=stats.sem(chol_women))\n",
"\n",
"result_table_men_vs_women = pd.DataFrame({\n",
" 'Geschlecht': ['Männer', 'Frauen'],\n",
" 'Untere Grenze': [conf_int_men[0], conf_int_women[0]],\n",
" 'Obere Grenze': [conf_int_men[1], conf_int_women[1]]\n",
"})\n",
"\n",
"print(result_table_men_vs_women)"
]
},
{
"cell_type": "markdown",
"id": "249c97a2-b9dd-4041-ad40-ee3175a394ad",
"metadata": {},
"source": [
"Das 95%-Konfidenzintervall bedeutet, dass der wahre Mittelwert des Cholesterinspiegels mit 95%iger Wahrscheinlichkeit in den angegebenen Intervallen liegt. \n",
"Da sich die Intervalle für Männer und Frauen nicht überlappen, deutet dies auf einen signifikanten Unterschied im durchschnittlichen Cholesterinspiegel zwischen Männern und Frauen hin."
]
},
{
"cell_type": "markdown",
"id": "4d6ef765-3785-4263-a72f-6e3ab5822d61",
"metadata": {},
"source": [
"#### Cholesterin im Vergleich zur Erkrankung"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "fb8d7c02-936a-49c1-adfe-43943f7111d0",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"sns.boxplot(x='goal', y='chol', data=df)\n",
"plt.title('Cholesterol / diagnosis')\n",
"plt.xlabel('diagnosis')\n",
"plt.ylabel('Cholesterol in mg/dl')\n",
"plt.xticks([0, 1], ['healthy', 'sick'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "96cd0dbf-5a76-47a5-8103-81dc3f5cf266",
"metadata": {},
"source": [
"Im folgenden wird ein t-Test durchgeführt, um zu analysieren, ob der Cholesterinwert bei erkrankten Personen höher ist als bei gesunden. \n",
"Hierfür wurden folgende Hypothesen aufgestellt: \n",
"- Nullhypothese (HO): Cholesterinwert bei erkrankten Personen ist gleich wie oder kleiner als bei gesunden.\n",
"- Alternativhypothese (H1): Cholesterinwert bei erkrankten Personen ist höher als bei gesunden."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "f5d1a57a-8d24-4a23-a035-3e6d7fd7eb89",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t-Statistik: 1.3834015443480652\n",
"p-Wert: 0.08379388357371184\n"
]
}
],
"source": [
"# t-test\n",
"from scipy.stats import ttest_ind\n",
"\n",
"chol_healthy = df.loc[df['goal'] == 0, 'chol']\n",
"chol_sick = df.loc[df['goal'] == 1, 'chol']\n",
"\n",
"t_statistic, p_value = ttest_ind(chol_sick, chol_healthy, alternative='greater')\n",
"\n",
"print(\"t-Statistik:\", t_statistic)\n",
"print(\"p-Wert:\", p_value)"
]
},
{
"cell_type": "markdown",
"id": "9f6927e8-dec2-4b8e-a8fb-4d1e348306bd",
"metadata": {},
"source": [
"Die t-Statistik sagt aus, dass der Mittelwert des Cholesterinspiegels in der erkrankten Gruppe um ca. 1,38 Standardabweichungen höher ist, als der Mittelwert in der gesunden Gruppe. Der Wert ist allerdings kein Maß dafür, ob der Unterschied statistisch signifikant ist. Hierfür muss der p-Wert betrachtet werden, der aussagt, ob der beobachtete Unterschied zwischen den Gruppen auf rein zufällige Variationen zurückgeführt werden könnte. \n",
"Der p-Wert ist größer als 0.05, daher wird die Nullhypothese nicht abgelehnt. \n",
"Es gibt keine signifikanten Hinweise darauf, dass der Cholesterinwert bei kranken Personen höher ist als bei gesunden."
]
},
{
"cell_type": "markdown",
"id": "362223d0-efaf-426c-8bb7-81108c065ccf",
"metadata": {},
"source": [
"#### Systolischer Ruheblutdruck"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "1574b038-0941-4473-a968-adca7f5ec26e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 6))\n",
"sns.boxplot(x='goal', y='trestbps', data=df)\n",
"plt.title('Blood pressure / diagnosis')\n",
"plt.xlabel('Diagnosis')\n",
"plt.ylabel('Systolic resting blood pressure (in mmHg on admission to hospital)')\n",
"plt.xticks([0, 1], ['healthy', 'sick'])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "0a359020-86f6-4d8c-9144-d2977674e51d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Diagnose Untere Grenze Obere Grenze\n",
"0 Gesund 126.618412 131.731588\n",
"1 Krank 131.442350 137.827723\n"
]
}
],
"source": [
"# confidence interval (95%) for blood pressure and diagnosis\n",
"\n",
"# filter by diagnosis and calculate interval\n",
"conf_level = 0.95\n",
"blutdruck_gesund = df.loc[df['goal'] == 0, 'trestbps']\n",
"blutdruck_krank = df.loc[df['goal'] == 1, 'trestbps']\n",
"conf_int_gesund = stats.t.interval(conf_level, len(blutdruck_gesund) - 1, loc=blutdruck_gesund.mean(), scale=stats.sem(blutdruck_gesund))\n",
"conf_int_krank = stats.t.interval(conf_level, len(blutdruck_krank) - 1, loc=blutdruck_krank.mean(), scale=stats.sem(blutdruck_krank))\n",
"\n",
"result_table_blutdruck = pd.DataFrame({\n",
" 'Diagnose': ['Gesund', 'Krank'],\n",
" 'Untere Grenze': [conf_int_gesund[0], conf_int_krank[0]],\n",
" 'Obere Grenze': [conf_int_gesund[1], conf_int_krank[1]]\n",
"})\n",
"\n",
"print(result_table_blutdruck)"
]
},
{
"cell_type": "markdown",
"id": "751dc52f-4675-4046-91c1-a00541ec172b",
"metadata": {},
"source": [
"Die Intervalle überlappen sich nur minimal, deshalb kann hier keine klare Aussage getroffen werden, ob es einen statistisch signifikanten Unterschied zwischen den beiden Gruppen gibt. Um eine klarere Aussage treffen zu können, wird zusätzlich ein t-Test durchgeführt. \n",
"Im Folgenden wird ein t-Test durchgeführt, um zu analysieren, ob der Cholesterinwert bei erkrankten Personen höher ist als bei gesunden.\n",
"Hierfür wurden folgende Hypothesen aufgestellt:\n",
"\n",
"Nullhypothese (HO): Der Blutdruck von erkrankten Personen ist niedriger oder gleich wie der von gesunden. \n",
"Alternativhypothese (H1): Der Blutdruck von erkrankten Personen ist höher als der von gesunden."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "003e4148-8318-41f4-8e38-af74c5ad54fa",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"t-Statistik: 2.6678917570482685\n",
"p-Wert: 0.004027398179437639\n"
]
}
],
"source": [
"# t-Test\n",
"blutdruck_healthy = df.loc[df['goal'] == 0, 'trestbps']\n",
"blutdruck_sick = df.loc[df['goal'] == 1, 'trestbps']\n",
"\n",
"# Durchführung des t-Tests\n",
"t_statistic, p_value = ttest_ind(blutdruck_sick, blutdruck_healthy, alternative='greater')\n",
"\n",
"print(\"t-Statistik:\", t_statistic)\n",
"print(\"p-Wert:\", p_value)"
]
},
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"Die t-Statistik besagt, dass der Mittelwert der erkrankten Personen um ca. 2,67 Standardabweichung von dem der gesunden Personen abweicht. \n",
"Der p-Wert ist kleiner als 0.05, daher wird die Nullhypothese abgelehnt.\n",
"Es gibt signifikante Hinweise darauf, dass der Blutdruck bei kranken Personen höher ist als bei gesunden Personen."
]
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