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@jamm1985
Created March 9, 2022 13:01
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Lab_11_hypotesis_testing_part_IV.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Lab_11_hypotesis_testing_part_IV.ipynb",
"provenance": [],
"authorship_tag": "ABX9TyNURtrcF+uvn5MyvXEyc0cP",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/jamm1985/672a23052f654121163e51cada769112/lab_11_hypotesis_testing_part_iv.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"source": [
"Видео лабораторной: https://youtu.be/wAykF0_WGVg\n",
"\n",
"TG: https://t.me/data_science_news\n",
"\n",
"\n",
"\n",
"---\n"
],
"metadata": {
"id": "AOdqg07rkzKl"
}
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "BEaMsDiLIJvO"
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pylab as plt\n",
"\n",
"from scipy.stats import norm\n",
"from statsmodels.distributions.empirical_distribution import ECDF\n",
"\n",
"plt.rcParams['figure.figsize'] = [12, 8]"
]
},
{
"cell_type": "markdown",
"source": [
"# KS Gondess-of-fit test\n",
"\n",
"Пусть $X_1,...,X_n$ i.i.d. выборка из некоторого распределения $F_1$ _(CDF)_.\n",
"\n",
"Тогда выборочная функция распределения _(ECDF [лабораторная №7](https://youtu.be/dXR2V-_F3yg))_ $\\hat{F_1}_n = \\frac{\\sum_{i=1}^nI(X \\leq x_i)}{n}$ \n",
"\n",
"Пусть $Y_1,...,Y_n$ i.i.d. **(независимая от $X$)** выборка из некоторого распределения $F_2$ _(CDF)_. С аналогично заданной эмпирической функцией $\\hat{F_2}_n$\n",
"\n",
"Предположим, мы хотим протестировать принадлежат ли реализации $X_i$ и $Y_i$ к одному распределению. Для этого сформулируем тест:\n",
"\n",
"$H_0: \\hat{F_1}_n = \\hat{F_2}_n$ VS $H_1:\\ \\hat{F_1}_n \\neq \\hat{F_2}_n$\n",
"\n",
"Непараметрическая тест статистика Колмогорова-Смирнова для двух выборок имеет вид: $D_n=\\mathrm{sup}|\\hat{F_1}_n(x) - \\hat{F_2}_n(y)|$\n",
"\n",
"Или для одной выборки и известного распределения $F$: $D_n=\\mathrm{sup}|\\hat{F_1}_n(x) - F|$\n",
"\n",
"Где тест-статистика $D_n$ подчиняется [распределнию Колмогорова-Смирнова](https://en.wikipedia.org/wiki/Kolmogorov–Smirnov_test#Kolmogorov_distribution)\n",
"\n",
" "
],
"metadata": {
"id": "99OjgeeOXm8S"
}
},
{
"cell_type": "markdown",
"source": [
"![image.png](data:image/png;base64,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)\n",
"\n",
"[Source - wikipedia](https://en.wikipedia.org/wiki/Kolmogorov–Smirnov_test#/media/File:KS_Example.png)"
],
"metadata": {
"id": "fV9R_DYUfqPX"
}
},
{
"cell_type": "markdown",
"source": [
"## KS one-smaple test EXAMPLE"
],
"metadata": {
"id": "urJxWD09gBVq"
}
},
{
"cell_type": "markdown",
"source": [
"### Выборка №1 (sample_1)\n",
"\n",
"$X_1, X_2, ... , X_n$ $\\sim$ $N(\\mu, \\sigma^2)$, \n",
"\n",
"где \n",
"\n",
"$n=100$, $\\mu=5$, $\\sigma^2=4$"
],
"metadata": {
"id": "RzescbssgRv1"
}
},
{
"cell_type": "code",
"source": [
"mu=5\n",
"sigma=2\n",
"rv_norm = norm(mu, sigma)\n",
"sample_1 = rv_norm.rvs(100)\n",
"sample_1"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "NlYa7omCXliO",
"outputId": "f801935a-7d4b-41d9-f7d5-77aaaf35c043"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([ 5.07919062, 3.69536054, 4.53606321, 6.24957629, 6.20681993,\n",
" 4.3325407 , 6.71075116, 3.85535992, 6.24678873, 3.32511597,\n",
" 5.48017657, 9.57105043, 2.74295381, 6.32608559, 6.73466131,\n",
" 3.04849212, 8.63592328, 4.2217072 , 6.24527705, 3.84945906,\n",
" 5.2809855 , 4.23543496, 6.57530968, 9.40377223, 6.34311573,\n",
" 6.47293858, 6.05306387, 4.50916074, 2.17605635, 2.32171392,\n",
" 7.16908996, 3.43958813, 9.04263607, 6.2556673 , -0.47138654,\n",
" 6.35835368, 2.96462229, 6.33263509, 8.01704533, 4.43518798,\n",
" 4.76170265, 7.01271561, 4.40674149, 6.13967201, 1.24710988,\n",
" 5.05940738, 5.85418212, 5.18729145, 7.11459916, 4.54973349,\n",
" 3.65892012, 3.96966245, 5.83832702, 1.81565688, 5.19720084,\n",
" 3.39615097, 8.84907862, 4.79663819, 6.38488336, 5.06727338,\n",
" 4.05807249, 4.98007024, 6.14216103, 5.28447523, 9.47445364,\n",
" 5.16603127, 4.05867209, 8.11540761, 2.44188567, 2.57328732,\n",
" 5.50259682, 4.29106629, 3.27483081, 4.86030226, 5.58773211,\n",
" 4.19988315, 3.49320536, 3.67345651, 1.7852449 , 4.18945262,\n",
" 7.45539349, 7.09533592, 7.85784015, 4.58848033, 3.83023784,\n",
" 3.32461689, 5.7090373 , 4.50230445, 6.46803219, 5.08025297,\n",
" 1.76354549, 5.98467082, 4.3915565 , 7.42838796, 4.33357601,\n",
" 5.78448608, 1.91651038, 4.1241221 , 6.11330295, 3.62654898])"
]
},
"metadata": {},
"execution_count": 16
}
]
},
{
"cell_type": "code",
"source": [
"ecdf = ECDF(sample_1)"
],
"metadata": {
"id": "T-zTV_I6IXXX"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.kstest.html\n",
"from scipy.stats import kstest "
],
"metadata": {
"id": "1INRA2fdhXE4"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"Alternative: $\\hat{F}_1 \\neq F$ - двусторонний тест"
],
"metadata": {
"id": "S0VFAz5jjJuD"
}
},
{
"cell_type": "code",
"source": [
"y_ecdf = ecdf(sample_1)\n",
"plt.plot(np.sort(sample_1), np.sort(y_ecdf), label='ECDF')\n",
"plt.plot(np.sort(sample_1), rv_norm.cdf(np.sort(sample_1)), label='True CDF')\n",
"plt.legend(fontsize=15)\n",
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 520
},
"id": "a0PKb7LAhCg3",
"outputId": "305dc309-87f7-4ad8-e728-121b97cab345"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'Normal RV sample (N=100)')"
]
},
"metadata": {},
"execution_count": 19
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# Test the same distribution\n",
"kstest(sample_1, rv_norm.cdf, N=100)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Ku1p0_p3ism_",
"outputId": "6ceca334-6b40-45c3-abfa-73284e3329dd"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"KstestResult(statistic=0.06418295118648226, pvalue=0.8045492039789772)"
]
},
"metadata": {},
"execution_count": 20
}
]
},
{
"cell_type": "code",
"source": [
"y_ecdf = ecdf(sample_1)\n",
"plt.plot(np.sort(sample_1), np.sort(y_ecdf), label='ECDF')\n",
"plt.plot(np.sort(sample_1), norm(5,4).cdf(np.sort(sample_1)), label='Norm(5,4) CDF')\n",
"plt.legend(fontsize=15)\n",
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 520
},
"id": "9cKpVUtXkxjI",
"outputId": "66fcd435-1f07-4acb-dbd6-5dc6ab7f75e2"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'Normal RV sample (N=100)')"
]
},
"metadata": {},
"execution_count": 21
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# Test another normal\n",
"kstest(sample_1, norm(5,4).cdf, N=100)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "GkLouv3Vj2Cz",
"outputId": "8cbe6f59-93c2-419a-f7c2-3baf7687d0dc"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"KstestResult(statistic=0.20312792483611797, pvalue=0.0004287358601834932)"
]
},
"metadata": {},
"execution_count": 22
}
]
},
{
"cell_type": "code",
"source": [
"# Test another sample from the same distribution\n",
"sample_2 = norm(mu, sigma).rvs(100)\n",
"\n",
"y_ecdf_1 = ecdf(sample_1)\n",
"y_ecdf_2 = ecdf(sample_2)\n",
"plt.plot(np.sort(sample_1), np.sort(y_ecdf_1), label='ECDF Sample 1')\n",
"plt.plot(np.sort(sample_2), np.sort(y_ecdf_2), label='ECDF Sample 2')\n",
"plt.legend(fontsize=15)\n",
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 520
},
"id": "7ssCyP_LkYfR",
"outputId": "4157fcd1-fbd6-4925-f07c-da8b9a01895e"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'Normal RV sample (N=100)')"
]
},
"metadata": {},
"execution_count": 23
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"#https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ks_2samp.html\n",
"from scipy.stats import ks_2samp "
],
"metadata": {
"id": "E_vYAvV-mFS7"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"ks_2samp(sample_1, sample_2)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "vO41B-LPmM7n",
"outputId": "e20a106c-72a5-47b7-c319-ceb88a7a760d"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Ks_2sampResult(statistic=0.09, pvalue=0.8154147124661313)"
]
},
"metadata": {},
"execution_count": 25
}
]
},
{
"cell_type": "markdown",
"source": [
"Alternative: $F_1 < F_2$ - Пример одностороннего теста"
],
"metadata": {
"id": "8xCfjgXrqHxP"
}
},
{
"cell_type": "code",
"source": [
"y_ecdf = ecdf(sample_1)\n",
"plt.plot(np.sort(sample_1), np.sort(y_ecdf), label='ECDF N(5,2)')\n",
"plt.plot(np.sort(sample_1), norm(4,2).cdf(np.sort(sample_1)), label='CDF N(4,2)')\n",
"plt.legend(fontsize=15)\n",
"plt.xlabel('Normal RV sample (N=100)', fontsize = 15)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 520
},
"id": "_2dtQBJfnQyV",
"outputId": "eb2c0159-1221-406d-a252-dd86bc591bfe"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'Normal RV sample (N=100)')"
]
},
"metadata": {},
"execution_count": 26
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"kstest(sample_1, norm(4,2).cdf, N=100, alternative='less')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "U3r3b70LqluS",
"outputId": "6ac62ece-450c-4599-cfb6-82ffd4064e55"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"KstestResult(statistic=0.24158215771226887, pvalue=6.358711841801269e-06)"
]
},
"metadata": {},
"execution_count": 27
}
]
},
{
"cell_type": "markdown",
"source": [
"# Тест на независимость"
],
"metadata": {
"id": "xKKSCulj8jGY"
}
},
{
"cell_type": "markdown",
"source": [
"## Пример 1\n",
"\n"
],
"metadata": {
"id": "nuawFakP8m2e"
}
},
{
"cell_type": "markdown",
"source": [
"![Снимок экрана 2022-03-09 в 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)\n",
"\n",
"Source: Wasserman L. All of statistics, p.241"
],
"metadata": {
"id": "JrmDGoaQcGpH"
}
},
{
"cell_type": "markdown",
"source": [
"## Формулировка теста\n",
"\n",
"$H_0:$ Тонзиллэктомия (удаление миндалин) не влияет на возникновение болезни Ходжкина, то есть, эти бинарные случайные величины независимы.\n",
"\n",
"$H_1:$ Тонзиллэктомия (удаление миндалин) **влияет** на возникновение болезни Ходжкина, то есть, эти бинарные случайные величины зависимы.\n",
"\n",
"Зафиксиррем критерий значимости: $\\alpha=0.05$\n",
"\n",
"Пусть $X$ - это случайная величина, моделирующая Тонзиллэктомию, где $X_1=1$ если процедура была проведена и $X_2=0$, если процедуры не было.\n",
"\n",
"Аналогично, для болезни Ходжкина, $Y_1=1$, если диагностирована болезнь и $Y_2=0$ в противном случае. \n",
"\n",
"В условиях нулевой гипотезы, случайные величины $X$ и $Y$ независимы:\n",
"- $P(X\\ and\\ Y) = P(X)P(Y)$ (по определению независимости событий)\n",
"- Вероятность возникновения любого варианта из таблицы: $\\hat{p}_{i,j}=\\hat{p}_i\\hat{p}_j=\\frac{X_i}{n} \\frac{Y_j}{n}$ (по MLE для [мультиномиального распределения](https://en.wikipedia.org/wiki/Multinomial_distribution))\n",
"- $E_{i,j}=np_{i,j}$ согласно мультиномиальному распределению\n",
"\n",
"\n"
],
"metadata": {
"id": "nUs-mW9kdwZq"
}
},
{
"cell_type": "markdown",
"source": [
"## Рассчитаем оценку $\\hat{p}_{i,j}$"
],
"metadata": {
"id": "r_DAHumKk0cK"
}
},
{
"cell_type": "code",
"source": [
"X_1_total = 255\n",
"X_2_total = 391\n",
"Y_1_total = 174\n",
"Y_2_total = 472\n",
"N = 646\n",
"\n",
"p_11 = X_1_total/N * Y_1_total/N\n",
"p_12 = X_1_total/N * Y_2_total/N\n",
"p_21 = X_2_total/N * Y_1_total/N\n",
"p_22 = X_2_total/N * Y_2_total/N\n",
"\n",
"print(p_11, p_12, p_21, p_22)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "EOxhbW-adv33",
"outputId": "003b16c1-2235-48c4-d3b3-8a3f354b92bf"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"0.10632230731627831 0.2884145347889849 0.16302753788496008 0.44223562000977673\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"## Рассчитаем $E_{i,j}$"
],
"metadata": {
"id": "a_R6tsrjnaRH"
}
},
{
"cell_type": "code",
"source": [
"e_11, e_12, e_21, e_22 = p_11*N, p_12*N, p_21*N, p_22*N\n",
"print(e_11, e_12, e_21, e_22)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "zv_zv5B9nXwp",
"outputId": "7700d8fa-f5dd-4ba3-eb8b-e9c7a0328bae"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"68.6842105263158 186.31578947368422 105.3157894736842 285.6842105263158\n"
]
}
]
},
{
"cell_type": "markdown",
"source": [
"# Тест-статистика\n",
"\n",
"Критерий согласия Пирсона (Pearson's chi-squared test) имеет вид:\n",
"\n",
"$D_2=\\sum_{i=1}^r\\sum_{j=1}^c \\frac{(n_{i,j}-E_{i,j})^2}{E_{i,j}}$,\n",
"\n",
"где $r$ - количество вариантов реализаций $X$, $C$ - количество вариантов реализаций $Y$. \n",
"\n",
"$D_2$ [подчиняется распределению](https://en.wikipedia.org/wiki/Chi-squared_distribution) $\\chi^2_{df}$, где $df=(r-1)(c-1)$ - это количество степеней свободы распределения $\\chi^2$\n",
"\n",
"Для нашего примера с двумя реализациями для $X$ и $Y$ тест-статистика будет иметь вид:\n",
"\n",
"$D_2=\\sum_{i=1}^2\\sum_{j=1}^2 \\frac{(n_{i,j}-E_{i,j})^2}{E_{i,j}}$"
],
"metadata": {
"id": "rt9bH837n5OD"
}
},
{
"cell_type": "markdown",
"source": [
"## Расчитаем тест"
],
"metadata": {
"id": "RIBsscRIquJq"
}
},
{
"cell_type": "code",
"source": [
"n_11 = 90\n",
"n_12 = 165\n",
"n_21 = 84\n",
"n_22 = 307\n",
"\n",
"d_2 = 1/e_11*(n_11 - e_11)**2 + 1/e_12*(n_12 - e_12)**2 + 1/e_21*(n_21 - e_21)**2 + 1/e_22*(n_22 - e_22)**2\n",
"print(d_2)"
],
"metadata": {
"id": "yNfjXxqCqtUK",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "555373c0-27cf-4ef0-cf13-a4ad3dad7ee5"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"14.95864355957614\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"df = (2-1)*(2-1)"
],
"metadata": {
"id": "0IcCyQnkrXWy"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"## $p$-value"
],
"metadata": {
"id": "1kHORBbwtAY1"
}
},
{
"cell_type": "code",
"source": [
"# https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.chi2.html\n",
"from scipy.stats import chi2\n",
"\n",
"1 - chi2(df).cdf(d_2)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "tEaoGsl2rhep",
"outputId": "9a60ab3e-31a0-4b07-c495-d0691d85dc69"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.00010989348314649483"
]
},
"metadata": {},
"execution_count": 31
}
]
}
]
}
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