pst/ukol.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"id": "c88902ee",
"metadata": {},
"source": [
"# Úkol: BI-PST\n"
]
},
{
"cell_type": "markdown",
"id": "91241ee8",
"metadata": {},
"source": [
"Spolupracovali:\n",
" * Ondřej Hladůvka (reprezentant)\n",
" * Tomáš Kaňka"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "334be38a",
"metadata": {},
"outputs": [],
"source": [
"#import csv\n",
"#import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"#np.set_printoptions(precision=3)\n",
"#from sympy import *\n",
"from scipy import stats \n",
"from scipy.stats import norm, uniform, expon\n",
"#from scipy.optimize import minimize"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "7c90184c-5f76-4277-b0ad-aeec2ac37d30",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"M = 10\n",
"dataset ex0221\n"
]
}
],
"source": [
"K = 28\n",
"L = 8\n",
"M = (((K + L) * 47) % 11) + 1\n",
"print(\"M =\",M)\n",
"print(\"dataset ex0221\")"
]
},
{
"cell_type": "markdown",
"id": "129f8693",
"metadata": {},
"source": [
"## Úloha č. 1"
]
},
{
"cell_type": "markdown",
"id": "503f77b6-1c9d-4406-8b30-ec3b792267e7",
"metadata": {},
"source": [
"(1b) Načtěte datový soubor a rozdělte sledovanou proměnnou na příslušné dvě pozorované skupiny.\n",
"Stručně popište data a zkoumaný problém. Pro každou skupinu zvlášť odhadněte střední hodnotu, rozptyl a medián příslušného rozdělení."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b80d5cec-db0c-42e7-a3b9-296803242269",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Prvních 5 řádků:\n",
" Weight Status\n",
"0 24.500000 survived\n",
"1 26.900000 survived\n",
"2 26.900000 survived\n",
"3 24.299999 survived\n",
"4 24.100000 survived\n",
"Info\n",
"Počet řádků: 59\n",
"Datové typy:\n",
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 59 entries, 0 to 58\n",
"Data columns (total 2 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 Weight 59 non-null float64\n",
" 1 Status 59 non-null object \n",
"dtypes: float64(1), object(1)\n",
"memory usage: 1.0+ KB\n"
]
},
{
"data": {
"text/plain": [
"None"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# načtení dat\n",
"df = pd.read_csv(\"/data.csv\")\n",
"df = df.drop(df.columns[0], axis=1)\n",
"survived = df[df['Status'] == 'survived']['Weight'].values\n",
"perished = df[df['Status'] == 'perished']['Weight'].values\n",
"# informace\n",
"print(\"Prvních 5 řádků:\")\n",
"print(df.head())\n",
"print(\"Info\")\n",
"print(\"Počet řádků:\", df.shape[0])\n",
"print(\"Datové typy:\")\n",
"display(df.info())\n"
]
},
{
"cell_type": "markdown",
"id": "41e43831",
"metadata": {},
"source": [
"Tento datový soubor zkoumá, zda hmotnost dospělých samců vrabců hraje roli v jejich přežití během extrémních klimatických podmínek. Cílem je zjistit, zda vrabci, kteří přežili, měli významně jinou průměrnou hmotnost ve srovnání se vrabci, kteří zahynuli. \n",
"\n",
"Tabulak má dva sloupce weight a status, kde\n",
"**weight** udává hmotnost dospělých samců vrabců v gramech a\n",
"**status** udává, zda vrabec přežil nebo zahynul během zimní bouře. Může mít hodnoty \"survived\" (přežil) nebo \"perished\" (zahynul).\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "717d3775",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Index(['Weight', 'Status'], dtype='object')\n",
" Status mean var median\n",
"0 perished 26.275000 2.168043 26.000000\n",
"1 survived 25.462857 1.584756 25.700001\n"
]
}
],
"source": [
"# Zobrazení názvů sloupců\n",
"print(df.columns)\n",
"\n",
"groups = df.groupby('Status')\n",
"summary_stats = groups['Weight'].agg(['mean', 'var', 'median']).reset_index()\n",
"\n",
"# Zobrazení výsledků\n",
"print(summary_stats)"
]
},
{
"cell_type": "markdown",
"id": "b370bf22",
"metadata": {},
"source": [
"## Úloha č. 2"
]
},
{
"cell_type": "markdown",
"id": "29eef015-c103-4e7f-89e8-2b59526f4b1e",
"metadata": {},
"source": [
"(1b) Pro každou skupinu zvlášť odhadněte hustotu a distribuční funkci pomocí histogramu a empirické distribuční funkce."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "9c8f12d3",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"--- Výsledky pro skupinu: perished ---\n",
" Weight CDF\n",
"0 24.600000 0.041667\n",
"1 24.600000 0.083333\n",
"2 24.900000 0.125000\n",
"3 25.000000 0.166667\n",
"4 25.000000 0.208333\n",
"5 25.100000 0.250000\n",
"6 25.500000 0.291667\n",
"7 25.600000 0.333333\n",
"8 25.600000 0.375000\n",
"9 25.799999 0.416667\n",
"10 25.900000 0.458333\n",
"11 26.000000 0.500000\n",
"12 26.000000 0.541667\n",
"13 26.000000 0.583333\n",
"14 26.000000 0.625000\n",
"15 26.100000 0.666667\n",
"16 26.500000 0.708333\n",
"17 26.500000 0.750000\n",
"18 27.100000 0.791667\n",
"19 27.500000 0.833333\n",
"20 27.600000 0.875000\n",
"21 28.299999 0.916667\n",
"22 28.299999 0.958333\n",
"23 31.100000 1.000000\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"--- Výsledky pro skupinu: survived ---\n",
" Weight CDF\n",
"0 23.200001 0.028571\n",
"1 23.600000 0.057143\n",
"2 23.700001 0.085714\n",
"3 23.799999 0.114286\n",
"4 23.900000 0.142857\n",
"5 24.100000 0.171429\n",
"6 24.200001 0.200000\n",
"7 24.299999 0.228571\n",
"8 24.299999 0.257143\n",
"9 24.500000 0.285714\n",
"10 24.600000 0.314286\n",
"11 24.700001 0.342857\n",
"12 24.700001 0.371429\n",
"13 24.799999 0.400000\n",
"14 24.900000 0.428571\n",
"15 25.400000 0.457143\n",
"16 25.600000 0.485714\n",
"17 25.700001 0.514286\n",
"18 25.700001 0.542857\n",
"19 25.700001 0.571429\n",
"20 25.700001 0.600000\n",
"21 25.900000 0.628571\n",
"22 26.200001 0.657143\n",
"23 26.200001 0.685714\n",
"24 26.299999 0.714286\n",
"25 26.299999 0.742857\n",
"26 26.500000 0.771429\n",
"27 26.600000 0.800000\n",
"28 26.700001 0.828571\n",
"29 26.700001 0.857143\n",
"30 26.900000 0.885714\n",
"31 26.900000 0.914286\n",
"32 27.000000 0.942857\n",
"33 27.900000 0.971429\n",
"34 28.000000 1.000000\n"
]
}
],
"source": [
"def calculate_density_cdf(group):\n",
" sorted_weights = group.sort_values('Weight')\n",
" cdf = pd.Series(range(1, len(sorted_weights) + 1)) / len(sorted_weights)\n",
" results = pd.DataFrame({'Weight': sorted_weights['Weight'].values, 'CDF': cdf.values})\n",
" \n",
" return results\n",
"\n",
"groups = df.groupby('Status')\n",
"density_cdf_results = {}\n",
"\n",
"for name, group in groups:\n",
" density_cdf_results[name] = calculate_density_cdf(group)\n",
"\n",
"for name, results in density_cdf_results.items():\n",
" plt.figure(figsize=(10, 6))\n",
" plt.hist(df[df['Status'] == name]['Weight'], bins=20, density=True, alpha=0.5, label=f'Hustota {name}')\n",
" \n",
" # CDF\n",
" plt.plot(results['Weight'], results['CDF'], label=f'CDF {name}', color='red')\n",
" \n",
" # Nastavení g\n",
" plt.title(f'Hustota a CDF pro skupinu: {name}')\n",
" plt.xlabel('Hmotnost')\n",
" plt.ylabel('Hustota / Kumulativní pravděpodobnost (CDF)')\n",
" plt.legend()\n",
" plt.grid()\n",
" plt.show()\n",
" print(f\"\\n--- Výsledky pro skupinu: {name} ---\")\n",
" print(results)\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "f98f6ad6",
"metadata": {},
"source": [
"Vytvořili jsme funkci calculate_density_cdf, která seřadila data podle hmotnosti a spočítala kumulativní distribuční funkci. Tato funkce vrátila DataFrame se seřazenými hmotnostmi a odpovídajícími hodnotami CDF."
]
},
{
"cell_type": "markdown",
"id": "9f9b7946",
"metadata": {},
"source": [
"## Úloha č. 3"
]
},
{
"cell_type": "markdown",
"id": "626d8bce-65af-4659-96e9-c1fbe4ccb3cc",
"metadata": {},
"source": [
"(3b) Pro každou skupinu zvlášť najděte nejbližší rozdělení: \n",
"Odhadněte parametry normálního, exponenciálního a rovnoměrného rozdělení.\n",
"Zaneste příslušné hustoty s odhadnutými parametry do grafů histogramu. Diskutujte, které z rozdělení odpovídá pozorovaným datům nejlépe."
]
},
{
"cell_type": "markdown",
"id": "542a742d-2c96-4d06-bf05-49823752ed6d",
"metadata": {},
"source": [
"Odhady získáme pomocí momentové metody"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "b1995dc6-a79c-4859-a720-5dca78d63e44",
"metadata": {},
"outputs": [],
"source": [
"def show_distribution(data):\n",
" fig = plt.figure(figsize = (10, 14))\n",
" gs = fig.add_gridspec(4,2, figure = fig)\n",
" sp1 = fig.add_subplot(gs[0, 0])\n",
" sp2 = fig.add_subplot(gs[0, 1])\n",
" sp3 = fig.add_subplot(gs[1, 0])\n",
" sp4 = fig.add_subplot(gs[1, 1])\n",
" sp5 = fig.add_subplot(gs[ 2:, 0:])\n",
" \n",
" sp1.set_title('Data Histogram')\n",
" sp1.hist(data, bins=10, density=True, alpha=0.5)\n",
" sp2.hist(data, bins=10, density=True, alpha=0.5)\n",
" sp3.hist(data, bins=10, density=True, alpha=0.5)\n",
" sp4.hist(data, bins=10, density=True, alpha=0.5)\n",
" sp5.hist(data, bins=10, density=True, alpha=0.5)\n",
" \n",
" mu, std = norm.fit(data)\n",
" xmin, xmax = sp1.get_xlim()\n",
" x = np.linspace(xmin, xmax, 100)\n",
" p_norm = norm.pdf(x, mu, std)\n",
" sp2.plot(x, p_norm, 'red')\n",
" sp2.fill_between(x, p_norm, alpha=0.2, color='red')\n",
" sp2.set_title(f'Normal fit ($\\mu={mu:.2f}, \\sigma={std:.2f}$)')\n",
"\n",
" loc, scale = expon.fit(data)\n",
" p_exp = expon.pdf(x, loc, scale)\n",
" split0 = next((i for i, x in enumerate(p_exp) if x != 0), len(p_exp))\n",
" sp3.plot(x[split0:], p_exp[split0:], 'green')\n",
" sp3.fill_between(x[split0:], p_exp[split0:], alpha=0.2, color='green')\n",
" sp3.set_title(f'Exponential Distribution Fit (scale={scale:.2f})')\n",
"\n",
" loc_uni, scale_uni = uniform.fit(data)\n",
" p_uni = uniform.pdf(x, loc_uni, scale_uni)\n",
" split1 = next((i for i, x in enumerate(p_uni) if x != 0), len(p_uni))\n",
" split2 = -next((i for i, x in enumerate(reversed(p_uni)) if x != 0), len(p_uni))\n",
" sp4.plot(x[split1:split2], p_uni[split1:split2], 'purple')\n",
" sp4.plot(x[:split1], p_uni[:split1], 'purple')\n",
" sp4.plot(x[split2:], p_uni[split2:], 'purple')\n",
" sp4.fill_between(x[split1:split2], p_uni[split1:split2], alpha=0.1, color='purple')\n",
" sp4.set_title(f'Uniform Distribution Fit (range=({loc_uni:.2f}, {loc_uni+scale_uni:.2f}))')\n",
" \n",
" sp5.plot(x, p_norm, 'red', label=f'Normal fit: $\\mu={mu:.2f}, \\sigma={std:.2f}$')\n",
" sp5.plot(x[split0:], p_exp[split0:], 'green', label=f'Exponential fit: scale={scale:.2f}')\n",
" sp5.plot(x[split1:split2], p_uni[split1:split2], 'purple')\n",
" sp5.plot(x[:split1], p_uni[:split1], 'purple')\n",
" sp5.plot(x[split2:], p_uni[split2:], 'purple', label=f'Uniform fit: range=({loc_uni:.2f}, {loc_uni+scale_uni:.2f})')\n",
" #sp5.plot(x, p_uni, 'blue', label=f'Uniform fit: range=({loc_uni:.2f}, {loc_uni+scale_uni:.2f})')\n",
" sp5.set_title('Combined Distributions')\n",
" sp5.legend()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "2121c37e-edac-446d-8ed5-1f1fab942637",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x1400 with 5 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x1400 with 5 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show_distribution(survived)\n",
"show_distribution(perished)"
]
},
{
"cell_type": "markdown",
"id": "424b6dc3",
"metadata": {},
"source": [
"## Úloha č. 4"
]
},
{
"cell_type": "markdown",
"id": "6226456c-fdf3-4537-830c-05f8ee7022c5",
"metadata": {},
"source": [
"(1b) Pro každou skupinu zvlášť vygenerujte náhodný výběr o 100 hodnotách z rozdělení, \n",
"které jste zvolili jako nejbližší, s parametry odhadnutými v předchozím bodě.\n",
"Porovnejte histogram simulovaných hodnot s pozorovanými daty."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "85df4788-b10c-48cd-aa08-10398d9c124a",
"metadata": {},
"outputs": [],
"source": [
"def showRandomData(mean, std, dataset, title):\n",
" data = np.random.normal(mean, std, 100)\n",
" plt.figure(figsize=(10, 6))\n",
" x = np.linspace(data.min() - 5, data.max() + 5, 100)\n",
" p_norm = norm.pdf(x, mean, std)\n",
" plt.plot(x, p_norm, 'black', linewidth = 2)\n",
" plt.hist(data, bins = 10, color = \"blue\", alpha=0.5 , density = True)\n",
" #plt.set_title(\"Náhodné hodnoty z normálního rozdělení\")\n",
" plt.hist(dataset, bins = 10, color = \"green\", alpha=0.5, density = True)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "c4466cb2-863a-4c61-8338-0f6a25014c6c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mean_survived, std_survived = norm.fit(survived)\n",
"showRandomData(mean_survived, std_survived, survived, \"survived\")\n",
"mean_perished, std_perished = norm.fit(perished)\n",
"showRandomData(mean_perished, std_perished, survived, \"perished\")"
]
},
{
"cell_type": "markdown",
"id": "1e1d73c6",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"id": "d43bff73",
"metadata": {},
"source": [
"## Úloha č. 5"
]
},
{
"cell_type": "markdown",
"id": "1c5f7d31-ca21-42b4-9a23-1111bbf599b9",
"metadata": {},
"source": [
"(1b) Pro každou skupinu zvlášť spočítejte oboustranný 95% konfidenční interval pro střední hodnotu."
]
},
{
"cell_type": "markdown",
"id": "dec7a5cc-4c6b-4213-b3b8-8b58813f73cb",
"metadata": {},
"source": [
"Dle Studentova rozdělení:\n",
"$$\n",
"\\begin{align}\n",
"\\left( \\overset{\\_}{X_{n}} - t_{\\frac{\\alpha}{2},n-1}\\frac{s}{\\sqrt{n}}, \\overset{\\_}{X_{n}} + t_{\\frac{\\alpha}{2},n-1}\\frac{s}{\\sqrt{n}} \\right)\n",
"\\end{align}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "69ad2d59-bdc0-4cc7-b51c-7453f2126157",
"metadata": {},
"outputs": [],
"source": [
"def conf_interval(data, name):\n",
" conf = stats.t.interval(confidence = 0.95, df = len(data) - 1, loc = np.mean(data), scale = stats.sem(data))\n",
" print(f\"Oboustranný konfidenční interval 95% střední hodnoty skupiny \\\"{name}\\\":\", conf)\n",
" return conf"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "16ee6a87-8b6a-472c-9689-9d3877d31084",
"metadata": {},
"outputs": [],
"source": [
"def plot_conf_interval(title, list, interval):\n",
" fig, ax = plt.subplots(figsize = (6, 4))\n",
" ax.hist(list, bins = 10, color = \"blue\", alpha=0.5)\n",
" ax.set_title(f\"Oboustranný 95% interval skupiny \\\"{title}\\\"\")\n",
" ax.axvline(x = interval[0], color = \"red\")\n",
" ax.axvline(x = interval[1], color = \"red\")\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "b5fd12a4-8517-4c5e-9f18-eaf627c56afa",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Oboustranný konfidenční interval 95% střední hodnoty skupiny \"survived\": (np.float64(25.030419953409798), np.float64(25.895294593883747))\n",
"Oboustranný konfidenční interval 95% střední hodnoty skupiny \"perished\": (np.float64(25.653248327602988), np.float64(26.89675170418613))\n"
]
}
],
"source": [
"conf_survived = conf_interval(survived, \"survived\")\n",
"conf_perished = conf_interval(perished, \"perished\")"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "f17915e9-aef8-430d-8096-c13f078e25eb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_conf_interval(\"survived\", survived, conf_survived)\n",
"plot_conf_interval(\"perished\", perished, conf_perished)"
]
},
{
"cell_type": "markdown",
"id": "743db93d",
"metadata": {},
"source": []
},
{
"cell_type": "markdown",
"id": "1c7cf77b",
"metadata": {},
"source": [
"## Úloha č. 6"
]
},
{
"cell_type": "markdown",
"id": "53a61e4f-fc67-4237-ab38-f5f9fb7767c5",
"metadata": {},
"source": [
"(1b) Pro každou skupinu zvlášť otestujte na hladině významnosti 5 % hypotézu,\n",
"zda je střední hodnota rovná hodnotě K (parametr úlohy), proti oboustranné alternativě.\n",
"Můžete použít buď výsledek z předešlého bodu, nebo výstup z příslušné vestavěné funkce vašeho softwaru."
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "379f961c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"--- Výsledky t-testu pro skupinu: perished ---\n",
"T-statistika: 4.2421\n",
"P-hodnota: 0.0003\n",
"Zamítáme nulovou hypotézu (střední hodnota se statisticky významně liší od K).\n",
"\n",
"--- Výsledky t-testu pro skupinu: survived ---\n",
"T-statistika: 2.1752\n",
"P-hodnota: 0.0367\n",
"Zamítáme nulovou hypotézu (střední hodnota se statisticky významně liší od K).\n"
]
}
],
"source": [
"for name, group in groups:\n",
" t_stat, p_value = stats.ttest_1samp(group['Weight'], 25)\n",
" print(f\"\\n--- Výsledky t-testu pro skupinu: {name} ---\")\n",
" print(f\"T-statistika: {t_stat:.4f}\")\n",
" print(f\"P-hodnota: {p_value:.4f}\")\n",
" \n",
" # Vyhodnocení na hladině významnosti 5 %\n",
" if p_value < 0.05:\n",
" print(\"Zamítáme nulovou hypotézu (střední hodnota se statisticky významně liší od K).\")\n",
" else:\n",
" print(\"Nezamítáme nulovou hypotézu (střední hodnota se statisticky významně neliší od K).\")\n"
]
},
{
"cell_type": "markdown",
"id": "ccd22286",
"metadata": {},
"source": [
"Postupovalo se tak, že se pro každou skupinu provedl t-test k ověření, zda se střední hmotnost vrabců významně liší od hodnoty 25, přičemž se hodnotily p-hodnoty a rozhodovalo se o zamítnutí nulové hypotézy na základě hladiny významnosti 0,05."
]
},
{
"cell_type": "markdown",
"id": "7f993c66",
"metadata": {},
"source": [
"Můžeme tedy říci, zda střední váha vrabců v každé skupině odpovídá hodnotě KK, nebo zda se významně liší."
]
},
{
"cell_type": "markdown",
"id": "617cf82f",
"metadata": {},
"source": [
"## Úloha č. 7"
]
},
{
"cell_type": "markdown",
"id": "7007c195-97a3-4cd4-8427-dcc8417eedf8",
"metadata": {},
"source": [
"(2b) Na hladině významnosti 5 % otestujte, jestli mají pozorované skupiny stejnou střední hodnotu.\n",
"Typ testu a alternativy stanovte tak, aby vaše volba nejlépe korespondovala s povahou zkoumaného problému."
]
},
{
"cell_type": "markdown",
"id": "0736883a",
"metadata": {},
"source": [
"Byl proveden t-test pro nezávislé vzorky, aby se zjistilo, zda existuje rozdíl ve středních hodnotách mezi skupinami přežití a úmrtí, přičemž byla vyhodnocena p-hodnota a porovnána s hladinou významnosti 0.05."
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "557d6c95",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"T-test: T-statistika = -2.27141, p-hodnota = 0.02692\n",
"Zamítáme nulovou hypotézu. Skupiny mají různé střední hodnoty.\n"
]
}
],
"source": [
"t_test = stats.ttest_ind(survived, perished, equal_var=True) \n",
"print(f\"T-test: T-statistika = {t_test.statistic:.5f}, p-hodnota = {t_test.pvalue:.5f}\")\n",
"\n",
"alpha = 0.05\n",
"if t_test.pvalue < alpha:\n",
" print(\"Zamítáme nulovou hypotézu. Skupiny mají různé střední hodnoty.\")\n",
"else:\n",
" print(\"Nepodařilo se zamítnout nulovou hypotézu. Skupiny mají stejné střední hodnoty.\")\n",
"\n"
]
},
{
"cell_type": "markdown",
"id": "984140bc",
"metadata": {},
"source": [
"Pokud byla p-hodnota t-testu menší než 0.05, zamítli jsme nulovou hypotézu, což znamená, že střední váha vrabců se mezi skupinami liší. To naznačuje, že faktory ovlivňující přežití mohou souviset s hmotností vrabců, což by mohlo mít vliv na jejich schopnost se přizpůsobit obtížným podmínkám.\n",
"\n",
"Z analýzy tedy vyplývá, že mezi skupinami existuje významný rozdíl ve středních hodnotách."
]
}
],
"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": "3.10.15"
}
},
"nbformat": 4,
"nbformat_minor": 5
}