Last active
August 15, 2022 09:05
-
-
Save audhiaprilliant/30c529ed03bc2412029dda775f38a3d8 to your computer and use it in GitHub Desktop.
The Simulation of Bootstrapping for Confidence Interval and Hypothesis Testing
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "id": "classical-citation", | |
| "metadata": {}, | |
| "source": [ | |
| "# Confidence interval & hypothesis testing using bootstrapping" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "marked-situation", | |
| "metadata": {}, | |
| "source": [ | |
| "---" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "antique-voice", | |
| "metadata": {}, | |
| "source": [ | |
| "## Import packages" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "exposed-equipment", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Data manipulation\n", | |
| "import pandas as pd\n", | |
| "\n", | |
| "# Vector manipulation\n", | |
| "import numpy as np\n", | |
| "\n", | |
| "# Randomization\n", | |
| "import random\n", | |
| "\n", | |
| "# List manipulation\n", | |
| "import itertools\n", | |
| "\n", | |
| "# Data viz\n", | |
| "import plotnine\n", | |
| "from plotnine import *" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "veterinary-prototype", | |
| "metadata": {}, | |
| "source": [ | |
| "## Confidence interval" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "headed-image", | |
| "metadata": {}, | |
| "source": [ | |
| "### 1 Create random numbers" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "id": "macro-amber", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# List of random numbers\n", | |
| "list_random = []\n", | |
| "\n", | |
| "for _ in range(10):\n", | |
| " l = round(number = random.random() * 10, ndigits = 5)\n", | |
| " list_random.append(l)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "id": "curious-estate", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (175598319300)>" | |
| ] | |
| }, | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Data viz\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_density(aes(x = list_random),\n", | |
| " fill = '#981220',\n", | |
| " color = '#FFFFFF',\n", | |
| " alpha = 0.85)+\n", | |
| " labs(title = 'Sample Data')+\n", | |
| " xlab('Random Number')+\n", | |
| " ylab('Density')+\n", | |
| " theme_minimal()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "proud-bones", | |
| "metadata": {}, | |
| "source": [ | |
| "### 2 Perform bootstrapping" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "elegant-experiment", | |
| "metadata": {}, | |
| "source": [ | |
| "#### 2.1 Percentile method" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "id": "vertical-semiconductor", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Number of bootstrap\n", | |
| "n_bootstrap = 50000\n", | |
| "\n", | |
| "# List of statistic of bootstrap sample\n", | |
| "list_bootstrapped = []\n", | |
| "\n", | |
| "for _ in range(n_bootstrap):\n", | |
| " # Generate bootstrap sample\n", | |
| " l = np.random.choice(a = list_random, size = 10, replace = True)\n", | |
| " \n", | |
| " # Append the bootstrap sample\n", | |
| " list_bootstrapped.append(l.mean())" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "id": "fitting-accessory", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (175590243404)>" | |
| ] | |
| }, | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Data viz\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_density(aes(x = data),\n", | |
| " fill = '#981220',\n", | |
| " color = '#FFFFFF',\n", | |
| " alpha = 0.85)+\n", | |
| " labs(title = 'Percentile Method')+\n", | |
| " xlab('Random Number')+\n", | |
| " ylab('Density')+\n", | |
| " theme_minimal()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "id": "following-bridal", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Confidence interval (percentile): 2.34756255 - 5.453633000000001\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Confidence interval\n", | |
| "lower_bound = np.percentile(a = list_bootstrapped, q = 2.5)\n", | |
| "upper_bound = np.percentile(a = list_bootstrapped, q = 97.5)\n", | |
| "print('Confidence interval (percentile): {lower} - {upper}'.format(\n", | |
| " lower = lower_bound,\n", | |
| " upper = upper_bound\n", | |
| " )\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "id": "vulnerable-tobacco", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (175597979031)>" | |
| ] | |
| }, | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Data viz\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_density(aes(x = data),\n", | |
| " fill = '#981220',\n", | |
| " color = '#FFFFFF',\n", | |
| " alpha = 0.85)+\n", | |
| " geom_vline(xintercept = lower_bound)+\n", | |
| " geom_vline(xintercept = upper_bound)+\n", | |
| " labs(title = 'Percentile Method')+\n", | |
| " xlab('Random Number')+\n", | |
| " ylab('Density')+\n", | |
| " theme_minimal()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "severe-caribbean", | |
| "metadata": {}, | |
| "source": [ | |
| "#### 2.2 Pivot method" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "id": "liable-xerox", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Number of population\n", | |
| "pop_n = len(list_random)\n", | |
| "# Population mean\n", | |
| "pop_mean = np.array(list_random).mean()\n", | |
| "# Population standard deviation\n", | |
| "pop_sd = np.array(list_random).std()\n", | |
| "\n", | |
| "# Number of bootstrap\n", | |
| "n_bootstrap = 50000\n", | |
| "\n", | |
| "# List of bootstrapped numbers\n", | |
| "list_bootstrapped = []\n", | |
| "\n", | |
| "for _ in range(n_bootstrap):\n", | |
| " # Generate sample boostrap\n", | |
| " l = np.random.choice(a = list_random, size = 10, replace = True)\n", | |
| " \n", | |
| " # Append the bootstrapped sample\n", | |
| " value = (l.mean() - pop_mean) / (pop_sd / np.sqrt(pop_n))\n", | |
| " list_bootstrapped.append(value)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "id": "muslim-following", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Confidence interval (pivot): 2.1310461999999983 - 5.2251307\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Lower and upper bound of sample bootstrap\n", | |
| "lower_bound = np.percentile(a = list_bootstrapped, q = 2.5)\n", | |
| "upper_bound = np.percentile(a = list_bootstrapped, q = 97.5)\n", | |
| "\n", | |
| "# Confidence interval\n", | |
| "lower_limit = pop_mean - (upper_bound * pop_sd) / np.sqrt(pop_n)\n", | |
| "upper_limit = pop_mean - (lower_bound * pop_sd) / np.sqrt(pop_n)\n", | |
| "print('Confidence interval (pivot): {lower} - {upper}'.format(\n", | |
| " lower = lower_limit,\n", | |
| " upper = upper_limit\n", | |
| " )\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "id": "auburn-seeker", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (175598008272)>" | |
| ] | |
| }, | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Data viz\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_density(aes(x = data),\n", | |
| " fill = '#981220',\n", | |
| " color = '#FFFFFF',\n", | |
| " alpha = 0.85)+\n", | |
| " geom_vline(xintercept = lower_limit)+\n", | |
| " geom_vline(xintercept = upper_limit)+\n", | |
| " labs(title = 'Pivot Method')+\n", | |
| " xlab('Random Number')+\n", | |
| " ylab('Density')+\n", | |
| " theme_minimal()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "indie-option", | |
| "metadata": {}, | |
| "source": [ | |
| "## Hypothesis testing" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "filled-lindsay", | |
| "metadata": {}, | |
| "source": [ | |
| "### 1 One-sample problem" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "id": "applied-closer", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Number of bootstrap\n", | |
| "n_bootstrap = 50000\n", | |
| "\n", | |
| "# Population's mean\n", | |
| "mu = 6\n", | |
| "\n", | |
| "# T-value\n", | |
| "t = np.array(list_random).mean() - mu\n", | |
| "\n", | |
| "# List of bootstrapped numbers\n", | |
| "list_bootstrapped = []\n", | |
| "\n", | |
| "# List of status\n", | |
| "stat = []\n", | |
| "\n", | |
| "for _ in range(n_bootstrap):\n", | |
| " # Generate sample boostrap\n", | |
| " l = np.random.choice(a = list_random, size = 10, replace = True)\n", | |
| " \n", | |
| " # Calculate the boostrap statistic\n", | |
| " t_miu = l.mean()\n", | |
| " \n", | |
| " # Append the bootstrapped sample\n", | |
| " list_bootstrapped.append(t_miu)\n", | |
| " \n", | |
| " # Comparison\n", | |
| " stat.append(abs(t_miu) >= abs(t))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "id": "stuck-denial", | |
| "metadata": { | |
| "scrolled": true | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "p-value for one-sample problem is: 0.98706\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# p-value\n", | |
| "p_value = np.array(stat).sum() / n_bootstrap\n", | |
| "print('p-value for one-sample problem is: {}'.format(p_value))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "id": "still-cornwall", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (175598324366)>" | |
| ] | |
| }, | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Data viz\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_density(aes(x = data),\n", | |
| " fill = '#981220',\n", | |
| " color = '#FFFFFF',\n", | |
| " alpha = 0.85)+\n", | |
| " geom_vline(xintercept = mu)+\n", | |
| " labs(title = 'One-sample Problem')+\n", | |
| " xlab('Random Number')+\n", | |
| " ylab('Density')+\n", | |
| " theme_minimal()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "driving-treat", | |
| "metadata": {}, | |
| "source": [ | |
| "### 2 Two-sample problem" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "id": "destroyed-arlington", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Population 1\n", | |
| "list_random_1 = [6.50771, 8.10488, 6.97052, 9.66660, 4.45952, 8.90958, 6.58395, 0.25472, 1.69067, 6.22568]\n", | |
| "\n", | |
| "# Population 2\n", | |
| "list_random_2 = [8.07601, 5.73932, 8.84482, 4.01673, 1.13725, 5.74599, 7.68432, 5.48522, 1.77523, 2.56948]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "id": "conventional-falls", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (175597979558)>" | |
| ] | |
| }, | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Data frame\n", | |
| "df = pd.DataFrame(\n", | |
| " data = {\n", | |
| " 'Random Number': list_random_1 + list_random_2,\n", | |
| " 'Population': list(itertools.chain(*[[str(i)] * len(list_random_1) for i in [1, 2]]))\n", | |
| " }\n", | |
| ")\n", | |
| "\n", | |
| "# Data viz\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot(data = df)+\n", | |
| " geom_density(aes(x = 'Random Number',\n", | |
| " fill = 'Population'),\n", | |
| " color = '#FFFF',\n", | |
| " alpha = 0.85,\n", | |
| " show_legend = False)+\n", | |
| " labs(title = 'Two-sample Problem')+\n", | |
| " scale_fill_manual(name = 'Population', \n", | |
| " values = ['#80797c', '#981220'], \n", | |
| " labels = ['1', '2'])+\n", | |
| " xlab('Random Number')+\n", | |
| " ylab('Density')+\n", | |
| " theme_minimal()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 16, | |
| "id": "substantial-package", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Number of bootstrap\n", | |
| "n_bootstrap = 50000\n", | |
| "\n", | |
| "# T-value\n", | |
| "t = np.array(list_random_1).mean() - np.array(list_random_2).mean()\n", | |
| "\n", | |
| "# List of sample boostrap\n", | |
| "list_bootstrapped = []\n", | |
| "\n", | |
| "# List of status\n", | |
| "stat = []\n", | |
| "\n", | |
| "# Sample means from 1 & 2\n", | |
| "sample_means = []\n", | |
| "\n", | |
| "for _ in range(n_bootstrap):\n", | |
| " # Generate sample boostrap\n", | |
| " l = np.random.choice(a = list_random_1 + list_random_2, size = 20, replace = True)\n", | |
| " \n", | |
| " # Split the sample boostrap\n", | |
| " sample_1 = l[:len(list_random_1)]\n", | |
| " sample_2 = l[len(list_random_2):]\n", | |
| " \n", | |
| " # Sample boostrap mean\n", | |
| " mean_1 = np.array(sample_1).mean()\n", | |
| " mean_2 = np.array(sample_2).mean()\n", | |
| " \n", | |
| " # Append the sample boostrap mean\n", | |
| " sample_means.append((mean_1, mean_2))\n", | |
| " \n", | |
| " # Calculate the boostrap sample statistic\n", | |
| " t_miu = mean_1 - mean_2\n", | |
| " \n", | |
| " # Append the boostrap\n", | |
| " list_bootstrapped.append(t_miu)\n", | |
| " \n", | |
| " \n", | |
| " # Comparison\n", | |
| " stat.append(abs(t_miu) >= abs(t))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "id": "blond-switzerland", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "p-value for one-sample problem is: 0.49812\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# p-value\n", | |
| "p_value = np.array(stat).sum() / n_bootstrap\n", | |
| "print('p-value for one-sample problem is: {}'.format(p_value))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "id": "continued-system", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": "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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": { | |
| "needs_background": "light" | |
| }, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (175598120903)>" | |
| ] | |
| }, | |
| "execution_count": 18, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Data viz\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_density(aes(x = data),\n", | |
| " fill = '#981220',\n", | |
| " color = '#FFFFFF',\n", | |
| " alpha = 0.85)+\n", | |
| " geom_vline(xintercept = t)+\n", | |
| " labs(title = 'Two-sample Problem')+\n", | |
| " xlab('Random Number')+\n", | |
| " ylab('Density')+\n", | |
| " theme_minimal()\n", | |
| ")" | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3", | |
| "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": "3.8.3" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment