{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "9b21b701-e1f6-48bc-8923-d27377f88f27",
"metadata": {
"tags": [
"remove-cell"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"---------------------------------\n",
"Working on the host: Joachims-MacBook-Pro.local\n",
"\n",
"---------------------------------\n",
"Python version: 3.10.2 | packaged by conda-forge | (main, Feb 1 2022, 19:30:18) [Clang 11.1.0 ]\n",
"\n",
"---------------------------------\n",
"Python interpreter: /opt/miniconda3/envs/srh/bin/python\n"
]
}
],
"source": [
"%matplotlib inline\n",
"# Load the \"autoreload\" extension\n",
"%load_ext autoreload\n",
"# always reload modules\n",
"%autoreload 2\n",
"# black formatter for jupyter notebooks\n",
"#%load_ext nb_black\n",
"# black formatter for jupyter lab\n",
"%load_ext lab_black\n",
"\n",
"%run ../../src/notebook_env.py"
]
},
{
"cell_type": "markdown",
"id": "2232c084-c199-430a-b8a2-7206acd00b0a",
"metadata": {},
"source": [
"# Die F-Verteilung"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "92841b79-8bee-4a07-8807-686410944b78",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from scipy.stats import f"
]
},
{
"cell_type": "markdown",
"id": "0de48e4f-1427-44fa-979a-9b78e8241535",
"metadata": {},
"source": [
"Die Snedecor-$F$-Verteilung oder die Fisher-Snedecor-Verteilung (nach Sir Ronald A. Fisher und George W. Snedecor) oder kurz die **$F$-Verteilung** ist eine kontinuierliche Wahrscheinlichkeitsverteilung mit dem Bereich $[0 \\ $,$ \\ +\\infty[$, abhängig von zwei Parametern, die mit $v_1,v_2$ bezeichnet werden ({cite:p}`fahrmeirstatistik` s.281, {cite:p}`Scheid2021` s.179). In statistischen Anwendungen sind $v_1,v_2$\n",
"positive ganze Zahlen.\n",
"\n",
"Seien $Y_1$ und $Y_2$ seien zwei unabhängige Zufallsvariablen, die **Chi-Quadrat**-verteilt sind, mit $v_1$ bzw. $v_2$ Freiheitsgraden. Dann wird die Verteilung des Verhältnisses ($Z$)"
]
},
{
"cell_type": "markdown",
"id": "0d9e3f64-0023-4bb1-b533-278d072029c4",
"metadata": {
"tags": []
},
"source": [
"$$Z = \\frac{Y_1/v_1}{Y_2/v_2}$$"
]
},
{
"cell_type": "markdown",
"id": "cdd9549f-422e-4a43-9256-66f4869cdf72",
"metadata": {},
"source": [
"als $F$-Verteilung mit $v_1$ und $v_2$ Freiheitsgraden bezeichnet. Die $F$-Verteilung wird häufig auch als *Verteilung des Varianzverhältnisses* bezeichnet ({cite:p}`fahrmeirstatistik` s.281)."
]
},
{
"cell_type": "markdown",
"id": "2707d2b2-37ac-4434-8e1d-adf01fec86a7",
"metadata": {},
"source": [
"Eine $F$-Verteilung hat zwei Zahlen von Freiheitsgraden, $v_1$ und $v_2$, die ihre Form bestimmen. Die erste Zahl der Freiheitsgrade, $v_1$, wird als die **Freiheitsgrade des Zählers** und die zweite, $v_2$, als die **Freiheitsgrade des Nenners** bezeichnet."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7ec80ec6-8328-4771-b786-d31d69f9cc11",
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import f\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"v1 = [1, 5, 10, 20, 50, 100]\n",
"v2 = 20\n",
"x = np.linspace(0, 3, 1000)\n",
"fig, ax = plt.subplots()\n",
"for _df in v1:\n",
" ax.plot(x, f.pdf(x, dfn=_df, dfd=v2), label=f\"$v_1$={_df}\")\n",
"ax.set_title(\n",
" \"F-Warscheinlichkeitsdichtefunktion mit unterschiedlichen Freiheitsgraden ($v_1$, $v_2 =20$)\"\n",
")\n",
"ax.legend(fontsize=18)\n",
"ax.set_ylim(-0.02, 1.5)\n",
"ax.axvline(0, color=\"k\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "6edd3275-dd25-45c8-9122-c7fb9495a255",
"metadata": {
"tags": [
"hide-input"
]
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import f\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"v1 = 20\n",
"v2 = [1, 5, 10, 20, 50, 100]\n",
"\n",
"x = np.linspace(0, 3, 1000)\n",
"fig, ax = plt.subplots()\n",
"for _df in v2:\n",
" ax.plot(x, f.pdf(x, dfn=v1, dfd=_df), label=f\"$v_1$={_df}\")\n",
"ax.set_title(\n",
" \"F-Warscheinlichkeitsdichtefunktion mit unterschiedlichen Freiheitsgraden ($v_1=20$, $v_2$)\"\n",
")\n",
"ax.legend(fontsize=18)\n",
"ax.set_ylim(-0.02, 1.5)\n",
"ax.axvline(0, color=\"k\")"
]
},
{
"cell_type": "markdown",
"id": "1f94e1fd-4987-433b-ad66-a730472de573",
"metadata": {},
"source": [
"**Grundlegende Eigenschaften von F-Kurven**"
]
},
{
"cell_type": "markdown",
"id": "20be0aad-3864-4d0b-90e7-d008b28fb663",
"metadata": {},
"source": [
"- Die Gesamtfläche unter einer $F$-Kurve ist gleich $1$.\n",
"-Eine $F$-Kurve beginnt bei $0$ auf der horizontalen Achse und erstreckt sich unendlich weit nach rechts, wobei sie sich der horizontalen Achse nähert, diese aber nie berührt.\n",
"- Eine $F$-Kurve ist rechtsschief."
]
},
{
"cell_type": "markdown",
"id": "ce359956-44b3-4b4f-917b-b3e917e2f4dd",
"metadata": {
"tags": []
},
"source": [
"## Die F-Verteilung in Python\n",
"----------------------------------------"
]
},
{
"cell_type": "markdown",
"id": "dba69b1b-ee97-40a8-994e-def8073408af",
"metadata": {},
"source": [
"Die wichtigsten Funktionen zur Interaktion mit der $F$-Verteilung sind `f.pdf()`, `f.cdf()`, `f.ppf()`, `f.rvs()`. Die Funktion `f.pdf`() liefert die Dichte, die Funktion `f.cdf()` die Verteilungsfunktion, die Funktion `f.ppf()` die Quantilfunktion und die Funktion `f.rvs()` erzeugt Zufallsabweichungen.\n",
"\n",
"Wir verwenden die Funktion `f.pdf()`, um die Dichte bei einem Wert von $1,2$ einer $F$-Kurve mit $v_1=10$ und $v_2=20$."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "4baa01d6-c381-4234-b2c9-14dd3abe9acf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.5626124566227062"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f.pdf(1.2, 10, 20)"
]
},
{
"cell_type": "markdown",
"id": "6f3a2987-4f47-4a7a-adc3-5458e6417e0d",
"metadata": {},
"source": [
"Wir verwenden `f.cdf()`, um die Fläche unter der Kurve für das Intervall $[0 \\ $,$ \\ 1,5]$ und das Intervall $[1,5 \\ $,$ \\ +\\infty[$ einer F-Kurve mit $v_1=10$ und $v_2=20$ zu berechnen. Weiter fragen wir Python, ob die Summe der Intervalle $[0 \\ $,$ \\ 1,5]$ und $[1,5 \\ $,$ \\ +\\infty[$ den Wert $1$ ergibt."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "1be4b10c-6630-4ea7-8321-9ad37c67aee3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.7890535374813874"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f_cdf1 = f.cdf(1.5, 10, 20)\n",
"f_cdf1"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "8368ade2-2d92-410e-80c8-4e741f8f07d9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.2109464625186126"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f_cdf2 = 1 - f.cdf(1.5, 10, 20)\n",
"f_cdf2"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "2172377f-6baa-422f-8f80-e5dcf9a8123a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"f_cdf1 + f_cdf2"
]
},
{
"cell_type": "markdown",
"id": "7ac4c2ad-5c7b-4ca9-b684-8139e23acd87",
"metadata": {},
"source": [
"Wir verwenden `f.ppf()`, um das Quantil für eine bestimmte Fläche (= Wahrscheinlichkeit) unter der Kurve für eine $F$-Kurve mit $v_1=10$ und $v_2=20$ zu berechnen, die $q=0,25,0,5,0,75$ und $0,999$ entspricht."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "51a4cb45-9ae9-41ae-ac87-228114dcfd81",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.65639363, 0.96626389, 1.39948744, 5.07524621])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"q = [0.25, 0.5, 0.75, 0.999]\n",
"f.ppf(q, 10, 20)"
]
},
{
"cell_type": "markdown",
"id": "c306446d-8223-43b9-8b0d-75a13acd3fe8",
"metadata": {},
"source": [
"Wir verwenden die Funktion `f.rvs()`, um $100.000$ Zufallswerte aus der $F$-Verteilung mit $v_1=10$ und $v_2=20$ zu erzeugen. Anschließend zeichnen wir ein Histogramm und vergleichen es mit der Wahrscheinlichkeitsdichtefunktion der $F$-Verteilung mit $v_1=10$ und $v_2=20$ (orange Linie)."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "5987fcdb-ecb1-44f2-8cdf-63c8e299cfad",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Erzeuge Chi^2 Werte\n",
"f_rvs = f.rvs(10, 20, size=10000)\n",
"\n",
"# Erzeuge x-werte\n",
"x = np.linspace(0, 5, num=1000)\n",
"\n",
"# Plotte t-Verteilung\n",
"fig, ax = plt.subplots()\n",
"# plt.xlim(0,4.5)\n",
"\n",
"ax.set_title(\"Histogramm der F-Verteilung mit $v_1=10$ und $v_2=20$ Freiheitsgraden\")\n",
"ax.set_ylabel(\"Wahrscheinlichkeitsdichte\")\n",
"ax.hist(f_rvs, bins=30, edgecolor=\"k\", density=True)\n",
"ax.plot(x, f.pdf(x, 10, 20), linewidth=6, alpha=0.8)"
]
}
],
"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": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}