Rewritten to proper bootstrap #3
@ -25,7 +25,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 62,
|
||||
"execution_count": 68,
|
||||
"metadata": {
|
||||
"pycharm": {
|
||||
"name": "#%%\n"
|
||||
@ -35,18 +35,14 @@
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||||
"source": [
|
||||
"import numpy as np\n",
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||||
"import pandas as pd\n",
|
||||
"from math import sqrt\n",
|
||||
"from scipy import stats\n",
|
||||
"from scipy.stats import sem\n",
|
||||
"from scipy.stats import t\n",
|
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"import matplotlib.pyplot as plt\n",
|
||||
"from statistics import mean, stdev\n",
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"from scipy.stats import ttest_ind, ttest_1samp, ttest_rel"
|
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"from enum import Enum\n",
|
||||
"from scipy.stats import ttest_ind, ttest_1samp, ttest_rel, shapiro"
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||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 86,
|
||||
"execution_count": 69,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
@ -55,29 +51,39 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 50,
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||||
"execution_count": 70,
|
||||
"metadata": {},
|
||||
"outputs": [],
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||||
"source": [
|
||||
"def calculate_p(t_stat, df):\n",
|
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" \"\"\"Funkcja oblicza wartość *p* na podstawie statystyki testowej i stopni swobody\"\"\"\n",
|
||||
" return (1.0 - t.cdf(abs(t_stat), df)) * 2.0"
|
||||
"class Alternatives(Enum):\n",
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||||
" LESS = 'less'\n",
|
||||
" GREATER = 'greater'"
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]
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||||
},
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{
|
||||
"cell_type": "code",
|
||||
"execution_count": 51,
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||||
"execution_count": 71,
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||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def calculate_cv(df, alpha=0.05):\n",
|
||||
" \"\"\"Funkcja oblicza wartość krytyczną (critical value)\"\"\"\n",
|
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" return t.ppf(1.0 - alpha, df)"
|
||||
"def calculate_t_difference(t_stat_sample, t_stat_list, alternative):\n",
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" \"\"\"\n",
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||||
" Funkcja oblicza procent statystyk testowych powstałych z prób bootstrapowych, \n",
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" które róznią się od statystyki testowej powstałej ze zbioru według hipotezy alternatywnej.\n",
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" \"\"\"\n",
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" all_stats = len(t_stat_list)\n",
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" stats_different_count = 0\n",
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" for t_stat_boot in t_stat_list:\n",
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" if alternative is Alternatives.LESS and t_stat_boot < t_stat_sample:\n",
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" stats_different_count += 1 \n",
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" elif alternative is Alternatives.GREATER and t_stat_boot > t_stat_sample:\n",
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" stats_different_count += 1\n",
|
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" return stats_different_count / all_stats"
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]
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||||
},
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{
|
||||
"cell_type": "code",
|
||||
"execution_count": 53,
|
||||
"execution_count": 72,
|
||||
"metadata": {
|
||||
"pycharm": {
|
||||
"name": "#%%\n"
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||||
@ -85,57 +91,112 @@
|
||||
},
|
||||
"outputs": [],
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||||
"source": [
|
||||
"def t_test(sample_1, sample_2=None, df_fn=df_single, t_stat_fn=t_stat_single, population_mean=None, alpha=0.05):\n",
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"def t_test_1_samp(sample_1, population_mean=None, alternative=Alternatives.LESS):\n",
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" \"\"\"\n",
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||||
" Funkcja przeprowadza test T-studenta dla dwóch zmiennych.\n",
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" liczba kolumn wynosi 1, test jest przeprowadzany dla jednej zmiennej.\n",
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" @param df_fn - funkcja obliczająca stopnie swobody\n",
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" @param t_stat_fn - funkcja obliczająca statystykę T\n",
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" Funkcja przeprowadza test T-studenta dla jednej zmiennej.\n",
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" \"\"\"\n",
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" t_stat_list = get_t_stats(sample_1, sample_2, t_stat_fn, population_mean=population_mean)\n",
|
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" t_stat_sum = sum(t_stat_list)\n",
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" t_stat_from_sample, _ = ttest_1samp(a=sample_1, popmean=population_mean, alternative=alternative.value)\n",
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" t_stat_list = get_t_stats(sample_1, t_stat_fn=ttest_1samp, alternative=alternative, population_mean=population_mean)\n",
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"\n",
|
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" data_size = sample_1.shape[0]\n",
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" p = calculate_t_difference(t_stat_from_sample, t_stat_list, alternative)\n",
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"\n",
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" t_stat = t_stat_sum / data_size\n",
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" # TODO: dolna i górna opcja dają inne wyniki z jakiegoś powodu (???)\n",
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" t_stat = mean(t_stat_list)\n",
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"\n",
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" if sample_2 is None:\n",
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" df = df_fn(sample_1)\n",
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" else:\n",
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" df = df_fn(sample_1, sample_2)\n",
|
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" cv = calculate_cv(df, alpha)\n",
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" p = calculate_p(t_stat, df)\n",
|
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" return t_stat, df, cv, p, t_stat_list"
|
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" return p, t_stat_from_sample, t_stat_list"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 54,
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"execution_count": 73,
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"metadata": {},
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||||
"outputs": [],
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||||
"source": [
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"def get_t_stats(sample_1, sample_2=None, t_stat_fn=t_stat_single, population_mean=None):\n",
|
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"def t_test_ind(sample_1, sample_2, alternative=Alternatives.LESS):\n",
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" \"\"\"\n",
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" Funkcja przeprowadza test T-studenta dla dwóch zmiennych niezależnych.\n",
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" \"\"\"\n",
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" t_stat_from_sample, _ = ttest_ind(sample_1, sample_2, alternative=alternative.value)\n",
|
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" t_stat_list = get_t_stats(sample_1, sample_2, alternative=alternative, t_stat_fn=ttest_ind)\n",
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"\n",
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" p = calculate_t_difference(t_stat_from_sample, t_stat_list, alternative)\n",
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"\n",
|
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" return p, t_stat_from_sample, t_stat_list"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 74,
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"metadata": {},
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"outputs": [],
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"source": [
|
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"def t_test_dep(sample_1, sample_2, alternative=Alternatives.LESS):\n",
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" \"\"\"\n",
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" Funkcja przeprowadza test T-studenta dla dwóch zmiennych zależnych.\n",
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" \"\"\"\n",
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" t_stat_list = get_t_stats(sample_1, sample_2, alternative=alternative, t_stat_fn=ttest_rel)\n",
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" t_stat_from_sample, _ = ttest_rel(sample_1, sample_2, alternative=alternative.value)\n",
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"\n",
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" p = calculate_t_difference(t_stat_from_sample, t_stat_list, alternative)\n",
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"\n",
|
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" return p, t_stat_from_sample, t_stat_list"
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]
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||||
},
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{
|
||||
"cell_type": "code",
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||||
"execution_count": 75,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def get_t_stats(sample_1, sample_2=None, t_stat_fn=ttest_1samp, alternative=Alternatives.LESS, population_mean=None):\n",
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" \"\"\"Funkcja oblicza listę statystyk testowych dla każdej próbki bootstrapowej wybranej na podstawie danych sample_1 i sample_2\"\"\"\n",
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" t_stat_list = []\n",
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"\n",
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" # One sample test\n",
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" if t_stat_fn==t_stat_single:\n",
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" if t_stat_fn is ttest_1samp and sample_2 is None:\n",
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" if not population_mean:\n",
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" raise Exception(\"population_mean not provided\")\n",
|
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" for bootstrap in generate_bootstraps(sample_1):\n",
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" stat = t_stat_fn(bootstrap, population_mean)\n",
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" stat, _ = t_stat_fn(bootstrap, population_mean, alternative=alternative.value)\n",
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" t_stat_list.append(stat)\n",
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" return t_stat_list\n",
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"\n",
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" # Two sample test\n",
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" for bootstrap_1, bootstrap_2 in zip(generate_bootstraps(sample_1), generate_bootstraps(sample_2)):\n",
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" stat = t_stat_fn(bootstrap_1, bootstrap_2)\n",
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" for bootstrap_sample in generate_bootstraps(pd.concat((sample_1, sample_2), ignore_index=True)):\n",
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" bootstrap_1 = bootstrap_sample.iloc[: len(bootstrap_sample) // 2]\n",
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" bootstrap_2 = bootstrap_sample.iloc[len(bootstrap_sample) // 2 :]\n",
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" stat, _ = t_stat_fn(bootstrap_1, bootstrap_2, alternative=alternative.value)\n",
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" t_stat_list.append(stat)\n",
|
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" return t_stat_list"
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]
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||||
},
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||||
{
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||||
"cell_type": "code",
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"execution_count": 76,
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"metadata": {},
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||||
"outputs": [],
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||||
"source": [
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||||
"def pretty_print_test(p, t_stat_from_sample, t_stat_list, thesis, alternative, max_print=5):\n",
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" print('Wyniki bootstrapowej wersji testu T-studenta')\n",
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" print()\n",
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" print(f'Hipoteza: {thesis}')\n",
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" if alternative is Alternatives.LESS:\n",
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" print(f'Hipoteza alternatywna: średnia jest mniejsza')\n",
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" else:\n",
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" print(f'Hipoteza alternatywna: średnia jest większa')\n",
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" print()\n",
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" print(f'p: {p}')\n",
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" print(f'Wartość statystyki testowej z próby: {t_stat_from_sample}')\n",
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" print(f'Wartości statystyk z prób boostrapowych:')\n",
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"\n",
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" t_stat_list_len = len(t_stat_list)\n",
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" for i in range(min(max_print, t_stat_list_len)):\n",
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" print(f'{t_stat_list[i]}, ', end='')\n",
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" if max_print < t_stat_list_len:\n",
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" remaining = t_stat_list_len - max_print\n",
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" print(f'... (i {remaining} pozostałych)')\n",
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"\n",
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||||
" print()\n",
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||||
" print()"
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||||
]
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||||
},
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||||
{
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||||
"cell_type": "markdown",
|
||||
"metadata": {},
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||||
@ -147,7 +208,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 87,
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||||
"execution_count": 77,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
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||||
@ -164,7 +225,7 @@
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||||
"source": [
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||||
"ALPHA = 0.05\n",
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"female_heights = dataset['Female height'].to_numpy()\n",
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"shapiro_test = stats.shapiro(female_heights)\n",
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"shapiro_test = shapiro(female_heights)\n",
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"\n",
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"if shapiro_test.pvalue > ALPHA:\n",
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" print(\"Female height: Dane mają rozkład normalny.\")\n",
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@ -172,7 +233,7 @@
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" print(\"Female height: Dane nie mają rozkładu normalnego.\")\n",
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"\n",
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"male_heights = dataset['Male height'].to_numpy()\n",
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"shapiro_test = stats.shapiro(male_heights)\n",
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"shapiro_test = shapiro(male_heights)\n",
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"\n",
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"if shapiro_test.pvalue > ALPHA:\n",
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" print(\"Male height: Dane mają rozkład normalny.\")\n",
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@ -180,7 +241,7 @@
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" print(\"Male height: Dane nie mają rozkładu normalnego.\")\n",
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"\n",
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"weights_before = dataset['Weight before'].to_numpy()\n",
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"shapiro_test = stats.shapiro(weights_before)\n",
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"shapiro_test = shapiro(weights_before)\n",
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"\n",
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"if shapiro_test.pvalue > ALPHA:\n",
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" print(\"Weight before: Dane mają rozkład normalny.\")\n",
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@ -188,7 +249,7 @@
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" print(\"Weight before: Dane nie mają rozkładu normalnego.\")\n",
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"\n",
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"weights_after = dataset['Weight after'].to_numpy()\n",
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"shapiro_test = stats.shapiro(weights_after)\n",
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"shapiro_test = shapiro(weights_after)\n",
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"\n",
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"if shapiro_test.pvalue > ALPHA:\n",
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" print(\"Weight after: Dane mają rozkład normalny.\")\n",
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@ -211,7 +272,7 @@
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||||
},
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||||
{
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||||
"cell_type": "code",
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||||
"execution_count": 55,
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||||
"execution_count": 78,
|
||||
"metadata": {
|
||||
"pycharm": {
|
||||
"name": "#%%\n"
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||||
@ -239,7 +300,7 @@
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||||
},
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||||
{
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||||
"cell_type": "code",
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||||
"execution_count": 60,
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||||
"execution_count": 79,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
@ -248,45 +309,16 @@
|
||||
},
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||||
"outputs": [],
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||||
"source": [
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||||
"def t_stat_single(sample, population_mean):\n",
|
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" \"\"\"Funkcja oblicza wartość statystyki testowej dla jednej próbki\"\"\"\n",
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||||
" if sample.empty:\n",
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" raise Exception(\"Empty sample\")\n",
|
||||
" sample = sample['Height'].values.tolist()\n",
|
||||
" sample_size = len(sample)\n",
|
||||
" return (mean(sample) - population_mean) / (stdev(sample) / sqrt(sample_size))"
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||||
]
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||||
},
|
||||
{
|
||||
"cell_type": "code",
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||||
"execution_count": 57,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def df_single(sample_1):\n",
|
||||
" \"\"\"Funkcja oblicza stopnie swobody dla jednej próbki\"\"\"\n",
|
||||
" # TODO: I have no clue what to return from here\n",
|
||||
" return len(sample_1)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 58,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
"name": "#%%\n"
|
||||
}
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def bootstrap_one_sample(sample, population_mean):\n",
|
||||
" return t_test(\n",
|
||||
"def bootstrap_one_sample(sample, population_mean, alternative=Alternatives.LESS):\n",
|
||||
" p, t, ts = t_test_1_samp(\n",
|
||||
" sample_1=sample,\n",
|
||||
" df_fn=df_single,\n",
|
||||
" t_stat_fn=t_stat_single,\n",
|
||||
" population_mean=population_mean\n",
|
||||
" )"
|
||||
" population_mean=population_mean,\n",
|
||||
" alternative=alternative,\n",
|
||||
" )\n",
|
||||
" \n",
|
||||
" pretty_print_test(p, t, ts, f'średnia jest równa {population_mean}', alternative)\n",
|
||||
" print()\n",
|
||||
" return p, t, ts"
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -298,7 +330,18 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 61,
|
||||
"execution_count": 80,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"dummy = pd.DataFrame([1, 2, 3, 4, 5])\n",
|
||||
"dummy2 = pd.DataFrame([4, 5, 6, 7, 8])\n",
|
||||
"dummy3 = pd.DataFrame([1, 3 , 3, 4, 6])"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 81,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
@ -310,7 +353,17 @@
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"t: 6.854929920812628, df: 500, cv: 1.6479068539295045, p: 2.1091128843409024e-11\n",
|
||||
"Wyniki bootstrapowej wersji testu T-studenta\n",
|
||||
"\n",
|
||||
"Hipoteza: średnia jest równa 165\n",
|
||||
"Hipoteza alternatywna: średnia jest mniejsza\n",
|
||||
"\n",
|
||||
"p: 0.72\n",
|
||||
"Wartość statystyki testowej z próby: [-229.1025971]\n",
|
||||
"Wartości statystyk z prób boostrapowych:\n",
|
||||
"[-239.4457368], [-201.5], [-176.97470898], [-256.14449047], [-436.1703468], ... (i 95 pozostałych)\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
@ -318,8 +371,7 @@
|
||||
"source": [
|
||||
"#TODO: poprawić kod aby można było podawać kolumny\n",
|
||||
"\n",
|
||||
"t_stat, df, cv, p, _ = bootstrap_one_sample(dataset, 165)\n",
|
||||
"pretty_print_full_stats(t_stat, df, cv, p)"
|
||||
"p, t, ts = bootstrap_one_sample(dummy, 165)"
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -343,7 +395,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 159,
|
||||
"execution_count": 82,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
@ -352,56 +404,15 @@
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def t_stat_ind(sample_1, sample_2):\n",
|
||||
" \"\"\"Funkcja oblicza wartość statystyki testowej dla dwóch próbek niezależnych\"\"\"\n",
|
||||
" if sample_1.empty or sample_2.empty:\n",
|
||||
" raise Exception(\"Empty sample\")\n",
|
||||
" sample_1 = sample_1[0].values.tolist()\n",
|
||||
" sample_2 = sample_2[0].values.tolist()\n",
|
||||
" sed = sqrt(sem(sample_1)**2 + sem(sample_2)**2)\n",
|
||||
" return (mean(sample_1) - mean(sample_2)) / sed"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 162,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def df_ind(sample_1, sample_2):\n",
|
||||
" \"\"\"Funkcja oblicza stopnie swobody dla dwóch próbek niezależnych\"\"\"\n",
|
||||
" return len(sample_1) + len(sample_2) - 2"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 167,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
"name": "#%%\n"
|
||||
}
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def bootstrap_independent(sample_1, sample_2):\n",
|
||||
" return t_test(\n",
|
||||
"def bootstrap_independent(sample_1, sample_2, alternative=Alternatives.LESS):\n",
|
||||
" p, t, ts = t_test_ind(\n",
|
||||
" sample_1=sample_1,\n",
|
||||
" sample_2=sample_2,\n",
|
||||
" df_fn=df_ind,\n",
|
||||
" t_stat_fn=t_stat_ind\n",
|
||||
" )"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"#TODO: Wyciągnąć wysokości kobiet i mężczyzn oraz poprawić kod aby można było podawać kolumny\n",
|
||||
"t_stat, df, cv, p, _ = bootstrap_independent(dataset, dataset)\n",
|
||||
"pretty_print_full_stats(t_stat, df, cv, p)"
|
||||
" alternative=alternative,\n",
|
||||
" )\n",
|
||||
" \n",
|
||||
" pretty_print_test(p, t, ts, 'średnie są takie same', alternative)\n",
|
||||
" return p, t, ts"
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -424,7 +435,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 160,
|
||||
"execution_count": 83,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
@ -433,49 +444,15 @@
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def t_stat_dep(sample_1, sample_2, mu=0):\n",
|
||||
" \"\"\"Funkcja oblicza wartość statystyki testowej dla dwóch próbek zależnych\"\"\"\n",
|
||||
" if sample_1.empty or sample_2.empty:\n",
|
||||
" raise Exception(\"Empty sample\")\n",
|
||||
" sample_1 = sample_1[0].values.tolist()\n",
|
||||
" sample_2 = sample_2[0].values.tolist()\n",
|
||||
" differences = [x_1 - x_2 for x_1, x_2 in zip(sample_1, sample_2)]\n",
|
||||
" sample_size = len(sample_1)\n",
|
||||
" return (mean(differences) - mu) / (stdev(differences) / sqrt(sample_size))"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 161,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def df_dep(sample_1, sample_2):\n",
|
||||
" \"\"\"Funkcja oblicza stopnie swobody dla dwóch próbek zależnych\"\"\"\n",
|
||||
" l1, l2 = len(sample_1), len(sample_2)\n",
|
||||
" if l1 != l2:\n",
|
||||
" raise Exception(\"Samples aren't of equal length\")\n",
|
||||
" return l1"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 168,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
"name": "#%%\n"
|
||||
}
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def bootstrap_dependent(sample_1, sample_2):\n",
|
||||
" return t_test(\n",
|
||||
"def bootstrap_dependent(sample_1, sample_2, alternative=Alternatives.LESS):\n",
|
||||
" p, t, ts = t_test_dep(\n",
|
||||
" sample_1=sample_1,\n",
|
||||
" sample_2=sample_2,\n",
|
||||
" df_fn=df_dep,\n",
|
||||
" t_stat_fn=t_stat_dep\n",
|
||||
" )"
|
||||
" alternative=alternative,\n",
|
||||
" )\n",
|
||||
" \n",
|
||||
" pretty_print_test(p, t, ts, 'średnie są takie same', alternative)\n",
|
||||
" return p, t, ts"
|
||||
]
|
||||
},
|
||||
{
|
||||
@ -503,7 +480,7 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 171,
|
||||
"execution_count": 84,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
@ -532,76 +509,25 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 31,
|
||||
"metadata": {
|
||||
"collapsed": false,
|
||||
"pycharm": {
|
||||
"name": "#%%\n"
|
||||
}
|
||||
},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"Statystyka testowa dla jednej próby:\n",
|
||||
"1.414213562373095 - z naszej funkcji\n",
|
||||
"[1.41421356] - z gotowej biblioteki\n",
|
||||
"\n",
|
||||
"Statystyka testowa dla dwóch prób niezależnych:\n",
|
||||
"-3.0 - z naszej funkcji\n",
|
||||
"[-3.] - z gotowej biblioteki\n",
|
||||
"\n",
|
||||
"Statystyka testowa dla dwóch prób zależnych:\n",
|
||||
"-1.6329931618554525 - z naszej funkcji\n",
|
||||
"[-1.63299316] - z gotowej biblioteki\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"# Testy dla samych statystyk testowych\n",
|
||||
"def pretty_print_stats(t_stat_selfmade, t_stat_lib, suffix):\n",
|
||||
" print(f'Statystyka testowa dla {suffix}:')\n",
|
||||
" print(t_stat_selfmade, '- z naszej funkcji')\n",
|
||||
" print(t_stat_lib, '- z gotowej biblioteki')\n",
|
||||
" print()\n",
|
||||
" \n",
|
||||
"dummy = pd.DataFrame([1, 2, 3, 4, 5])\n",
|
||||
"dummy2 = pd.DataFrame([4, 5, 6, 7, 8])\n",
|
||||
"dummy3 = pd.DataFrame([1, 3 , 3, 4, 6])\n",
|
||||
"\n",
|
||||
"t_stat_selfmade = t_stat_single(dummy, 2)\n",
|
||||
"t_stat_lib, _ = ttest_1samp(dummy, 2)\n",
|
||||
"pretty_print_stats(t_stat_selfmade, t_stat_lib, 'jednej próby')\n",
|
||||
"\n",
|
||||
"t_stat_selfmade = t_stat_ind(dummy, dummy2)\n",
|
||||
"t_stat_lib, _ = ttest_ind(dummy, dummy2)\n",
|
||||
"pretty_print_stats(t_stat_selfmade, t_stat_lib, 'dwóch prób niezależnych')\n",
|
||||
"\n",
|
||||
"t_stat_selfmade = t_stat_dep(dummy, dummy3)\n",
|
||||
"t_stat_lib, _ = ttest_rel(dummy, dummy3)\n",
|
||||
"pretty_print_stats(t_stat_selfmade, t_stat_lib, 'dwóch prób zależnych')"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 39,
|
||||
"execution_count": 85,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"<class 'pandas.core.frame.DataFrame'>\n",
|
||||
"Statystyki dla jednej próby:\n",
|
||||
"t: 1.8073147056683616, df: 5, cv: 2.015048372669157, p: 0.13052275003443325\n",
|
||||
"Wyniki bootstrapowej wersji testu T-studenta\n",
|
||||
"\n",
|
||||
"Hipoteza: średnia jest równa 2\n",
|
||||
"Hipoteza alternatywna: średnia jest mniejsza\n",
|
||||
"\n",
|
||||
"p: 0.35\n",
|
||||
"Wartość statystyki testowej z próby: [1.41421356]\n",
|
||||
"Wartości statystyk z prób boostrapowych:\n",
|
||||
"[2.44948974], [3.13785816], [1.72328087], [0.27216553], [1.17669681], ... (i 95 pozostałych)\n",
|
||||
"\n",
|
||||
"Statystyki dla dwóch prób zależnych:\n",
|
||||
"t: 3.0790273716290404, df: 5, cv: 2.015048372669157, p: 0.027500015466573435\n",
|
||||
"\n",
|
||||
"Statystyki dla dwóch prób niezależnych:\n",
|
||||
"t: 2.8109511013364576, df: 8, cv: 1.8595480375228421, p: 0.02280961069987497\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
@ -609,22 +535,66 @@
|
||||
"source": [
|
||||
"# Testy z bootstrappowaniem\n",
|
||||
"\n",
|
||||
"def pretty_print_full_stats(t_stat, df, cv, p):\n",
|
||||
" print(f't: {t_stat}, df: {df}, cv: {cv}, p: {p}\\n')\n",
|
||||
"\n",
|
||||
"print(type(dummy))\n",
|
||||
"\n",
|
||||
"print('Statystyki dla jednej próby:')\n",
|
||||
"t_stat, df, cv, p, _ = bootstrap_one_sample(dummy, 2)\n",
|
||||
"pretty_print_full_stats(t_stat, df, cv, p)\n",
|
||||
"\n",
|
||||
"p, t, ts = bootstrap_one_sample(dummy, 2)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 86,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"Statystyki dla dwóch prób zależnych:\n",
|
||||
"Wyniki bootstrapowej wersji testu T-studenta\n",
|
||||
"\n",
|
||||
"Hipoteza: średnie są takie same\n",
|
||||
"Hipoteza alternatywna: średnia jest mniejsza\n",
|
||||
"\n",
|
||||
"p: 1.0\n",
|
||||
"Wartość statystyki testowej z próby: [10.61445555]\n",
|
||||
"Wartości statystyk z prób boostrapowych:\n",
|
||||
"[-2.66666667], [-0.14359163], [0.21199958], [0.11470787], [0.76696499], ... (i 95 pozostałych)\n",
|
||||
"\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"print('Statystyki dla dwóch prób zależnych:')\n",
|
||||
"t_stat, df, cv, p, _ = bootstrap_dependent(dummy2, dummy3)\n",
|
||||
"pretty_print_full_stats(t_stat, df, cv, p)\n",
|
||||
"\n",
|
||||
"p, t, ts = bootstrap_dependent(dummy2, dummy3)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 87,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"Statystyki dla dwóch prób niezależnych:\n",
|
||||
"Wyniki bootstrapowej wersji testu T-studenta\n",
|
||||
"\n",
|
||||
"Hipoteza: średnie są takie same\n",
|
||||
"Hipoteza alternatywna: średnia jest mniejsza\n",
|
||||
"\n",
|
||||
"p: 0.95\n",
|
||||
"Wartość statystyki testowej z próby: [2.4140394]\n",
|
||||
"Wartości statystyk z prób boostrapowych:\n",
|
||||
"[-2.20937908], [0.13187609], [-0.81110711], [-0.94280904], [-0.77151675], ... (i 95 pozostałych)\n",
|
||||
"\n",
|
||||
"\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"print('Statystyki dla dwóch prób niezależnych:')\n",
|
||||
"t_stat, df, cv, p, _ = bootstrap_independent(dummy2, dummy3)\n",
|
||||
"pretty_print_full_stats(t_stat, df, cv, p)"
|
||||
"p, t, ts = bootstrap_independent(dummy2, dummy3)"
|
||||
]
|
||||
}
|
||||
],
|
||||
@ -633,8 +603,12 @@
|
||||
"hash": "11938c6bc6919ae2720b4d5011047913343b08a43b18698fd82dedb0d4417594"
|
||||
},
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3.9.1 64-bit",
|
||||
"language": "python",
|
||||
"display_name": "Python 3.8.10 64-bit",
|
||||
"metadata": {
|
||||
"interpreter": {
|
||||
"hash": "767d51c1340bd893661ea55ea3124f6de3c7a262a8b4abca0554b478b1e2ff90"
|
||||
}
|
||||
},
|
||||
"name": "python3"
|
||||
},
|
||||
"language_info": {
|
||||
@ -648,8 +622,7 @@
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.9.1"
|
||||
},
|
||||
"orig_nbformat": 4
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 2
|
||||
|
||||
Loading…
Reference in New Issue
Block a user