{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Inspection Paradox is Everywhere\n", "\n", "Allen Downey 2019\n", "\n", "[MIT License](https://en.wikipedia.org/wiki/MIT_License)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "from empiricaldist import Pmf\n", "\n", "from utils import decorate" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# set the random seed so we get the same results every time\n", "np.random.seed(17)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# make the directory for the figures\n", "import os\n", "\n", "if not os.path.exists('inspection'):\n", " !mkdir inspection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Class size\n", "\n", "Here's the data summarizing the distribution of undergraduate class sizes at Purdue University in 2013-14." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "# Class size data originally from\n", "# https://www.purdue.edu/datadigest/2013-14/InstrStuLIfe/DistUGClasses.html\n", "# now available from\n", "# https://web.archive.org/web/20160415011613/https://www.purdue.edu/datadigest/2013-14/InstrStuLIfe/DistUGClasses.html\n", "\n", "sizes = [(1, 1), \n", " (2, 9),\n", " (10, 19),\n", " (20, 29),\n", " (30, 39),\n", " (40, 49),\n", " (50, 99),\n", " (100, 300)]\n", " \n", "counts = [138, 635, 1788, 1979, 796, 354, 487, 333]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I generate a sample from this distribution, assuming a uniform distribution in each range and an upper bound of 300." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "def generate_sample(sizes, counts):\n", " \"\"\"Generate a sample from a distribution.\n", " \n", " sizes: sequence of (low, high) pairs\n", " counts: sequence of integers\n", " \n", " returns: NumPy array\n", " \"\"\"\n", " t = []\n", " for (low, high), count in zip(sizes, counts):\n", " print(count, low, high)\n", " sample = np.random.randint(low, high+1, count)\n", " t.extend(sample)\n", " return np.array(t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"unbiased\" sample is as seen by the college, with each class equally likely to be in the sample." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "138 1 1\n", "635 2 9\n", "1788 10 19\n", "1979 20 29\n", "796 30 39\n", "354 40 49\n", "487 50 99\n", "333 100 300\n" ] } ], "source": [ "unbiased = generate_sample(sizes, counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To generate a biased sample, we use the values themselves as weights and resample with replacement." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "def resample_weighted(sample, weights):\n", " \"\"\"Resample values from `sample` with the given weights. \n", " \n", " sample: NumPy array\n", " weights: NumPy array\n", " \n", " returns: NumPy array\n", " \"\"\"\n", " n = len(sample)\n", " p = weights / np.sum(weights)\n", " return np.random.choice(sample, n, p=p)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "biased = resample_weighted(unbiased, unbiased)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the distribution, I use KDE to estimate the density function, then evaluate it over the given sequence of `xs`." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import gaussian_kde\n", "\n", "def kdeplot(sample, xs, label=None, **options):\n", " \"\"\"Use KDE to plot the density function.\n", " \n", " sample: NumPy array\n", " xs: NumPy array\n", " label: string\n", " \"\"\"\n", " density = gaussian_kde(sample, **options).evaluate(xs)\n", " plt.plot(xs, density, label=label)\n", " decorate(ylabel='Relative likelihood')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following plot shows the distribution of class size as seen by the Dean, and as seen by a sample of students." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.arange(1, 300)\n", "kdeplot(unbiased, xs, 'Reported by the Dean')\n", "kdeplot(biased, xs, 'Reported by students')\n", "\n", "decorate(xlabel='Class size',\n", " title='Distribution of class sizes')\n", "\n", "plt.savefig('inspection/class_size.png', dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the means of the unbiased and biased distributions." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "34.423041474654376" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(unbiased)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "89.19170506912442" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(biased)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "from empiricaldist import Cdf\n", "\n", "def cdfplot(sample, xs, label=None, **options):\n", " \"\"\"Plot the CDF of the sample.\n", " \n", " sample: NumPy array\n", " xs: NumPy array (ignored)\n", " label: string\n", " \"\"\"\n", " cdf = Cdf.from_seq(sample, **options)\n", " cdf.plot(label=label)\n", " decorate(ylabel='CDF')" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.arange(1, 300)\n", "cdfplot(unbiased, xs, 'Reported by the Dean')\n", "cdfplot(biased, xs, 'Reported by students')\n", "\n", "decorate(xlabel='Class size',\n", " title='Distribution of class sizes')\n", "\n", "plt.savefig('inspection/class_size.png', dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Red Line\n", "\n", "Here are times between trains in seconds." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "unbiased = [\n", " 428.0, 705.0, 407.0, 465.0, 433.0, 425.0, 204.0, 506.0, 143.0, 351.0, \n", " 450.0, 598.0, 464.0, 749.0, 341.0, 586.0, 754.0, 256.0, 378.0, 435.0, \n", " 176.0, 405.0, 360.0, 519.0, 648.0, 374.0, 483.0, 537.0, 578.0, 534.0, \n", " 577.0, 619.0, 538.0, 331.0, 186.0, 629.0, 193.0, 360.0, 660.0, 484.0, \n", " 512.0, 315.0, 457.0, 404.0, 740.0, 388.0, 357.0, 485.0, 567.0, 160.0, \n", " 428.0, 387.0, 901.0, 187.0, 622.0, 616.0, 585.0, 474.0, 442.0, 499.0, \n", " 437.0, 620.0, 351.0, 286.0, 373.0, 232.0, 393.0, 745.0, 636.0, 758.0,\n", "]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the same data in minutes." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "unbiased = np.array(unbiased) / 60" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the same function to generate a biased sample." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "biased = resample_weighted(unbiased, unbiased)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And plot the results." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(1, 16.5, 101)\n", "kdeplot(unbiased, xs, 'Seen by MBTA')\n", "kdeplot(biased, xs, 'Seen by passengers')\n", "\n", "decorate(xlabel='Time between trains (min)',\n", " title='Distribution of time between trains')\n", "\n", "plt.savefig('inspection/red_line.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(1, 16.5, 101)\n", "cdfplot(unbiased, xs, 'Seen by MBTA')\n", "cdfplot(biased, xs, 'Seen by passengers')\n", "\n", "decorate(xlabel='Time between trains (min)',\n", " title='Distribution of time between trains')\n", "\n", "plt.savefig('inspection/red_line.png', dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the means of the distributions and the percentage difference." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(9.207857142857144, 7.7680952380952375)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(biased), np.mean(unbiased)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "18.53429779930119" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(np.mean(biased) - np.mean(unbiased)) / np.mean(unbiased) * 100" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Social network\n", "\n", "The following function reads the Facebook data." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "import networkx as nx\n", "\n", "def read_graph(filename):\n", " \"\"\"Read a graph from a file.\n", " \n", " filename: string\n", " \n", " return: nx.Graph\n", " \"\"\"\n", " G = nx.Graph()\n", " array = np.loadtxt(filename, dtype=int)\n", " G.add_edges_from(array)\n", " return G" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4039, 88234)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# https://snap.stanford.edu/data/facebook_combined.txt.gz\n", "\n", "fb = read_graph('facebook_combined.txt.gz')\n", "n = len(fb)\n", "m = len(fb.edges())\n", "n, m" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The unbiased sample is the number of friends for each user." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4039" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "unbiased = [fb.degree(node) for node in fb]\n", "len(unbiased)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1045" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.max(unbiased)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use the same function to generate a biased sample." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "biased = resample_weighted(unbiased, unbiased)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And generate the plot." ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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n/lViTEV17Ngx4uLiiIqKIiUlheHDhwNObeAf//gHsbGxDBs2jMTERPbudfphW7VqRVycc5tjr169iI+PJzU1lYMHDzJo0CAArr76xLioBQsW5L3u2LEjLVu2zEtQQ4YMoVatWtSvX5/IyEhGjhwJQLdu3YiPjz8l3v79+zNx4kRef/11srOzAcjMzOT666+nW7duXHHFFaxbd+IWzj59+tC4cWPCwsJo06YN55xzjtfyR48eTVBQEO3ataN169Zs2LDhpOvOmjWLxx9/nLi4OAYPHkx6ejo7d+486ZgFCxYwbtw4goODadiwIYMGDWLx4sVFfgejRo2ievXqREdHM2TIEBYtWsSsWbOYNWsWPXr0oGfPnmzYsIHNmzezYMECLrnkEmrWrElERASXXnopP/3k3MHTvHlz+vfvD8D48eNZsGDBSdf57bffWLduHf379ycuLo53332XHTu8zv1abFV6NvPSsO9wOrPW7iU4SBjT5+SR740jq3NhbGO+XLGbd36O5/4RnQsoxZiS8bWm42+5fVCpqamMGDGCyZMnc/vtt/PBBx+QlJTE0qVLqVatGjExMaSnO7c7hoWF5Z0fHBzMsWPHUFVEvA32dZJdQTzLCgoKynsdFBREVlbWKce/8sorLFy4kG+++Ya4uDhWrFjBSy+9RMOGDVm5ciU5OTmEh4cXu/z8sed/rap8+umndOjQocD34lu3/Km8XVtVuffee7nxxhtP2pdb4/O1nPzxDR8+nClT8ve6nD6rQQXYtCUJZOUowzo1oGHt8FP2XzfAaa38aPEuDqVnlnZ4xgRUZGQkL774Ik8//TSZmZmkpqbSoEEDqlWrxty5c4v8S7tOnTpERkbm/dX+wQcf5O0bOHBg3utNmzaxc+fOQv+jL8zWrVvp168fjzzyCNHR0ezatYvU1FQaN25MUFAQ77//fl7NqjimTZtGTk4OW7duZdu2bafEd+655/LSSy/lJaHly5efUsbAgQOZOnUq2dnZJCUl8eOPP9K3b98ir/3ll1+Snp7O/v37mTdvHn369OHcc8/lrbfeyusjSkxMZN++fQwcOJAvvviCo0ePkpaWxueff85ZZ50FwM6dO/n1118BmDJlCgMGDDjpOmeccQY///xzXvPl0aNH82qyp8tqUAGU7TE44sp+Lb0e061ZJP1a1WPh9hQ+XZrApP6tSjNEYwKuR48edO/enY8++oirrrqKkSNH0rt3b+Li4ujYsWOR57/99ttcc8011KhRg3PPPTdv+y233MJNN91Et27dCAkJ4Z133jmpZlMcd999N5s3b0ZVGTp0KN27d+eWW27hsssuY9q0aQwZMuSkfiFfdejQgUGDBrF3715eeeWVk2phAA888AB33HEHsbGxqCoxMTGnDKa45JJL+PXXX+nevTsiwpNPPkmjRo2KvHbfvn258MIL2blzJw888ABNmjShSZMmrF+/njPPPBOAiIgI/ve//9GzZ08mTpyYl/iuu+46evTokTd45d133+XGG2+kXbt23HzzzSddp379+rzzzjuMGzeOjAznTp9HH32U9u3bF/vzyk9KWn2sDHr37q2BHMe/JjGVES8toElkOAv+fjZBQd6bKr5YnsgdU1dwVrto3r+2X8DiMcaUnokTJzJixAguv/zyUr/2Qw89RERExEmDGUoiPj6eESNGsGbNGj9F5p2ILFXV3vm3WxNfAK3dnQpA75h6BSYngAHtogFYtD2F9MziNyMYY0xlZE18AbQm8RAAXZvWLvS46IgwOjWuzfo9h1i64wD920aXRnjGmAB65513yuzaDz30kF/KiYmJCXjtqTBWgwqgNW4NqmuTyCKPPcutRf20OTmgMRljTEVhCSpAsrJzWL/HqUF18SFB5daaft5iCcoYY8ASVMBsTUojPTOHFvVqEFmjWpHH942pR2hwEGt2p3Ig7XgpRGiMMeWbJagAWZPoNu8V0f+Uq3poML1j6qIKP2+1WpQxxliCCpDc/idfmvdy5Y7mW2D9UKaCs+U2ClYay21kZGQwbNgw4uLiTplIFuDBBx9k9uzZfokhkMtu2Ci+AFmbN4LP9wR1Vtv6PMlGftqcXOgUL8aUd7lTHQFMmDCByZMnc99995VxVJXPq6++SlJS0ik3KC9fvpzMzEyvE8lmZ2fzyCOPlFaIp8VqUAGQk6N590B1aeJbEx9A5ya1qVOjGokHjxG/3yaPNZWDLbdRustt7Nu3j/Hjx7NixQri4uLYunUrMTExPPLIIwwYMIBp06YxceJEPvnkk7zPd9CgQfTq1Ytzzz2XPXv2AE7N6O9//zt9+/alffv2eZPHHjt2jLFjxxIbG8uYMWPyvqfs7GwmTpyYF+dzzz3nw29H4awGFQDb96eRdjybxpHhREf4PvVKcJDQv00036zew4ItybSKLv7UKsac5CHfa/DFKzfVp8NsuY3SX26jQYMGvPHGGzz99NMnJcXw8PC8OQ2/++47wJmx/bbbbuPLL7+kfv36TJ06lfvuu4+33noLgKysLBYtWsSMGTN4+OGHmT17Nv/973+pUaMGq1atYtWqVfTs6SwVtGLFChITE/Pum/JHs67VoALgxACJ4v/ncKIfKsmvMRlTmmy5DUdZLreR35gxY07ZtnHjRtasWcPw4cOJi4vj0UcfJSEhIW//pZdeCpz4PgB+/PFHxo8fD0BsbCyxsbEAtG7dmm3btnHbbbfx3XffUbu2761HBbEaVACs3e32PxVjgESuM1pHAbB0x0HrhzKnz8eajr/ZchuOslxuIz9vk92qKl26dMmbrTy/3PcVHBxc6PsCqFu3LitXrmTmzJlMnjyZjz/+OK8mVlJWgwqA4g4x9xQTVYO6NaqRfCSDhAPH/B2aMaXKltsou+U2fNGhQweSkpLyElRmZiZr164t9BzPz33NmjWsWrUKcFbWzcnJ4bLLLuP//u//WLZs2WnHZzUoP1PV02riExF6tKjLnA37WLbzAM3r1fB3iMaUKltuo2yW2/BFaGgon3zyCbfffjupqalkZWVxxx130KVLlwLPufnmm5k0aRKxsbHExcXlJcvExEQmTZpETk4OAP/+979POz5bbsPP4/d37j/KwKfmEh0RxuL7hpaoie7lOZt5etYmJv4hhocuKvgXxRhTfpXlchsVTZkstyEi54nIRhHZIiL3eNkfJiJT3f0LRSTG3R4lInNF5IiIvJzvnHlumSvcR4PCyiptnsPLS9p/1KNFXQCW7zzgt7iMMaaiCVgTn4gEA5OB4UACsFhEpqvqOo/DrgUOqGpbERkLPAGMAdKBB4Cu7iO/q1Q1f9WnoLJK1bbkNADaN4wocRndm9dBxBlskZ6ZTXi1YH+FZ4wpJWW53EZlEcgaVF9gi6puU9XjwEfAqHzHjALedZ9/AgwVEVHVNFVdgJOofOW1rJKHXzI73RtsW0SV/B6miLAQOjSsRVbOif4sY4ypagKZoJoCuzxeJ7jbvB6jqllAKhDlQ9lvu817D3gkIZ/KEpEbRGSJiCxJSvL/vUY7UpwaVMvTHNxwopnPP3OYGWNMRRPIBOWt9pJ/RIYvx+R3lap2A85yH7l37vlUlqq+pqq9VbV3/fr1i7hU8eXWoFpGnW6CqgPAMuuHMsZUUYFMUAlAc4/XzYDdBR0jIiFAJHDqRFkeVDXR/XkY+BCnKbFEZflbRlY2ew6lExwkNKlT/bTK6mk1KGNMFRfIBLUYaCcirUQkFBgLTM93zHRggvv8cmCOFjLuXURCRCTafV4NGAGsKUlZgbAr5Riq0LROdaoFn95H2zq6JrXDQ/j9UDp7Uu2GXWNM1ROwBOX2A90KzATWAx+r6loReURELnIPexOIEpEtwJ1A3lB0EYkHngUmikiCiHQGwoCZIrIKWAEkAq8XVVZp2Znb/3SazXsAQUGS1w+1bIfVoowxVU9AZ5JQ1RnAjHzbHvR4ng5cUcC5MQUU26uA4wssq7TscPuf/DX7Q48WdZi/KYnlOw9wYWxjv5RpjDEVhc3F50e5Cep0R/Dlyu2HsoESxpiqyBKUH+1M8c8Ivlzdmzsj+dYkHuJ4Vo5fyjTGmIrCEpQf7djv9EG1qOefhQYjq1ejdf2aHM/OYePvh/1SpjHGVBSWoPwkJ0fZ5S6P0cJPNSiAuGZOLWpFgg2UMMZULZag/OT3Q+kcz8ohOiKUiDD/jT2JbeYs2bFqlyUoY0zVYgnKT3IHSLTw8/pNuf1QK60GZYypYixB+cmJe6D80/+Uq1Pj2oQECZv3HeFIxqlLVRtjTGVlCcpPckfw+bsGFV4tmE6Na6OKzWxujKlSLEH5yQ4/TRLrTffmTj/USuuHMsZUIZag/MTf90B5inVH8q1KsBqUMabqsATlJycGSfi3Dwogzh0oscJqUMaYKsQSlB+kHs0k9VgmNUKDiY4I9Xv5bepHUCM0mMSDx0g+kuH38o0xpjyyBOUHuavotqhXg0CsMh8cJHRr6t4PZcPNjTFVhCUoPwjkAIlc3fOa+awfyhhTNViC8oMTAyT83/+Uq3veQAmrQRljqgZLUH6wy01Qzeue3jLvhcmd8mjlroOU8kLBxhhTJixB+UHiQWeS2KYBTFDN6lYnqmYoB45msivFloA3xlR+lqD8YE9qOgBN6gQuQYnIiX4oa+YzxlQBlqBOk6qy261BNY4MXIKCE/dDLbcVdo0xVYAlqNN06FgWR49nUzM0mNrh/ltmwxu7YdcYU5UENEGJyHkislFEtojIPV72h4nIVHf/QhGJcbdHichcETkiIi97HF9DRL4RkQ0islZEHvfYN1FEkkRkhfu4LpDvLVdu/1OTOtUDcg+Up9wmvrW7bQl4Y0zlF7AEJSLBwGTgfKAzME5EOuc77FrggKq2BZ4DnnC3pwMPAHd5KfppVe0I9AD6i8j5Hvumqmqc+3jDj2+nQHtS3ea9APY/5cpbAj4rh/V7DgX8esYYU5YCWYPqC2xR1W2qehz4CBiV75hRwLvu80+AoSIiqpqmqgtwElUeVT2qqnPd58eBZUCzAL6HIu3OHSARGV4q1+vRvC5gzXzGmMqvwAQlIvUKe/hQdlNgl8frBHeb12NUNQtIBaJ8CVxE6gAjgR88Nl8mIqtE5BMRaV7AeTeIyBIRWZKUlOTLpQq126OJrzTEtbB+KGNM1VBYDWopsMT9mQRsAja7z5f6ULa3Dpn8d5j6csypBYuEAFOAF1V1m7v5KyBGVWOB2ZyomZ1cuOprqtpbVXvXr1+/qEsVaU/eCL7SqkFZgjLGVA0FJihVbaWqrYGZwEhVjVbVKGAE8JkPZScAnrWYZsDugo5xk04kkOJD2a8Bm1X1eY9496tq7lTfrwO9fCjntO0+6DTxNS2lGlSHRrUICwlie3IaB9KOl8o1jTGmLPjSB9VHVWfkvlDVb4FBPpy3GGgnIq1EJBQYC0zPd8x0YIL7/HJgjhYxj4+IPIqTyO7It72xx8uLgPU+xHjadpfiIAmAasFBeTOb2w27xpjKzJcElSwi94tIjIi0FJH7gP1FneT2Kd2KUwNbD3ysqmtF5BERucg97E0gSkS2AHcCeUPRRSQeeBaYKCIJItJZRJoB9+GMClyWbzj57e7Q85XA7cBEH97bacnOUX53B0mUVhMfeNwPtdMSlDGm8vLlztJxwD+Bz93XP7rbiuTWvGbk2/agx/N04IoCzo0poFivNxup6r3Avb7E5S/JRzLIylGiaoYSXi241K7bo0VdYLv1QxljKrUiE5SqpgB/FpHaQI6qHgl8WBVD3hRHdUqv9gQnRvKtTHBmNg/0DcLGGFMWimziE5FuIrIcWA2sFZGlItI18KGVf7kDJJoEeA6+/JpEhlO/VhgHj2YS7y6WaIwxlY0vfVCvAneqaktVbQn8FWcUXZWXO4tEad0DlUtEbOJYY0yl50uCqpk7ewOAqs4DArd0bAWSWMr3QHnq2cKZUWLpDktQxpjKyZdBEttE5AHgfff1eGB74EKqOPYcDPw6UAXpE2MJyhhTuflSg7oGqI9zc+7n7vNJgQyqojjRxFf6NahuzSIJDQli497DpB7NLPXrG2NMoPkyiu8Azj1GNoovn8QyrEGFhQQT2zSSJTsOsGznAYZ0bFDqMRhjTCDZKL4SysjKJvlIBsFBQsxOGroAACAASURBVINapV+DAugd48zZuzjel9mhjDGmYrFRfCWUO4NEw1phBAeVzX1Iuf1QS6wfyhhTCdkovhLaXYbNe7l6tXQS1MpdB8nIyi6zOIwxJhB8SVDbROQBdy6+GBG5HxvFV6or6RakTo1Q2jWIICMrhzWJtsKuMaZysVF8JXRiocKy6X/KldsPtXSH9UMZYyqXIhOUqh5Q1dtVtaeq9lDVP7sj+6q0E0u9l10NCqC328y3OL7KfyXGmEqmyGHmItIeuAuI8TxeVc8OXFjl3+4ynEXCUx+3BrUkPsUmjjXGVCq+zCQxDXgFeAOwnnhXWc4i4al5veo0qBXGvsMZbE1Ko22DiDKNxxhj/MWXBJWlqv8NeCQVzM2D27AtOY0WUTXKNA4RoU9MPb5ZvYelO1IsQRljKo0C+6BEpJ6I1AO+EpFbRKRx7jZ3e5V2cY+m3Dm8PbXDq5V1KHnDzRdtt34oY0zlUVgNaimgnFjB9m6PfQq0DlRQpnjOaB0FwK9bk60fyhhTaRSYoFS1VWkGYkquY6Na1KsZyu7UdHbsP0pMdJW/j9oYUwkU1sR3tvvzUm8PXwoXkfNEZKOIbBGRe7zsDxORqe7+hSIS426PEpG5InJERF7Od04vEVntnvOiuNUFt+nxexHZ7P6s6/vHULEFBQlnurWon7cml3E0xhjjH4XdBzXI/TnSy2NEUQWLSDAwGTgf6AyME5HO+Q67Fjigqm2B54An3O3pwAM4w9vz+y9wA9DOfZznbr8H+EFV2wE/uK+rjDPbOAnql637yzgSY4zxj8Ka+P7p/izprBF9gS2qug1ARD4CRgHrPI4ZBTzkPv8EeFlERFXTgAUi0tazQBFpDNRW1V/d1+8BFwPfumUNdg99F5gH/L2EsVc4/dtGA/Dr1v3k5ChBZTSBrTHG+EuBCUpE7izsRFV9toiymwK7PF4nAP0KOkZVs0QkFYgCCmqnauqW41lmU/d5Q1Xd45a1R0Sq1AJJMVE1aBwZzp7UdDbuPUynxrXLOiRjjDkthTXx1SriURRvf8JrCY45neNPLUDkBhFZIiJLkpKSinNquSYi/KGNU4v6eYv1QxljKr7CmvgePs2yE4DmHq+bAbsLOCZBREKASKCwWU8T3HK8lblXRBq7tafGwD5vBajqa7jrWfXu3btYya28+0ObKD5dlsCvW/dz3Vl2F4AxpmLzZUXd9iLyg4iscV/HuktuFGUx0E5EWolIKDAWmJ7vmOnABPf55cAcVS0wabhNeIdF5Ax39N4fgS+9lDXBY3uV8Ye2zkCJhdtTyMrOKeNojDHm9Piy3MbrwL1AJoCqrsJJNoVS1SzgVmAmsB74WFXXisgjInKRe9ibQJSIbAHuxGPknYjEA88CE0UkwWME4M048wJuAbbiDJAAeBwYLiKbgeHu6yqlcWR1WkfX5EhGFqsSU8s6HGOMOS2+zMVXQ1UX5ZudIMuXwlV1BjAj37YHPZ6nA1cUcG5MAduXAF29bN8PDPUlrsrsD22j2Jacxi9bkunZosrcCmaMqYR8qUEli0gb3MEIInI5sCegUZkSOzFQwu6HMsZUbL7UoP6EM6igo4gk4iz3Pj6gUZkSO7N1FEECS3akcCQji4gwX75iY4wpf3ypQSWq6jCcpd47quoA4FBgwzIlVbdmKD1a1CUzW1mw2YabG2MqLl8S1GciEqKqaap6WEQaAd8HOjBTcmd3dO5RnrvB60h7Y4ypEHxJUF8An4hIsDuZ6yycUX2mnBrSwU1QG/dRyKh9Y4wp14rsoFDV1937mL4AYoAbVfWXQAdmSq5T41p50x6t3X2Irk0jyzokY4wptsKW27gz9wGE48z4sAI4o6h5+kzZEhEGu7WoH9ZbM58xpmLydS6+COBznJtjfZ2Lz5Sh3H6oORstQRljKqZAzsVnylD/tlGEhgSxKuEgyUcyiI4IK+uQjDGmWApr4nve/fmViEzP/yi9EE1J1AgN4czWUajCvI2VZ9Z2Y0zVUdggiffdn0+XRiDG/87u2ID5m5KYs2Evl/dqVvQJxhhTjhTWxLfU/Tm/9MIx/nR2xwb8c/paftqUzPGsHEJDfLmrwBhjyofCVtRdTSGLAapqbEAiMn7TvF4N2jeMYNPeI/yyNTlvZJ8xxlQEhTXxjSi1KEzAXNitCZv2buKbVXssQRljKpQC23xUdUdhj9IM0pTchbGNAJi59neOZ9kihsaYisM6JSq5tg1q0bFRLQ6lZ/HzFps81hhTcViCqgIu7NYYgK9X2TJexpiKw6cEJSLVRaRDoIMxgXFBrJOgZq37nYys7DKOxhhjfFNkghKRkThz8H3nvo6zG3Urljb1I+jYqBaH07NsjShjTIXhSw3qIaAvcBBAVVfgzGpuKpARbi3qG2vmM8ZUEL4kqCxVTS1J4SJynohsFJEtInKPl/1hIjLV3b/QXW8qd9+97vaNInKuu62DiKzweBwSkTvcfQ+JSKLHvgtKEnNldYHbD/X9ur2kZ1oznzGm/PMlQa0RkSuBYBFpJyIvAUWuByUiwcBk4HygMzBORDrnO+xa4ICqtgWeA55wz+0MjAW6AOcB/xGRYFXdqKpxqhoH9AKO4syynuu53P2qOsOH91ZltK4fQefGtTmckWVz8xljKgRfEtRtOIkiA/gQSAXu8OG8vsAWVd2mqseBj4BR+Y4ZBbzrPv8EGCoi4m7/SFUzVHU7zjIfffOdOxTYavdk+e6SHk0BmLZkVxlHYowxRfMlQXVQ1ftUtY/7uF9V0304ryng+T9hgrvN6zGqmoWT/KJ8PHcsMCXftltFZJWIvCUidb0FJSI3iMgSEVmSlFS1ahKX9GxKSJAwd+M+9h7y5Ss0xpiy40uCelZENojI/4lIl2KULV625Z/br6BjCj3XXYL+ImCax/7/Am2AOGAP8Iy3oFT1NVXtraq969evX3D0lVB0RBhDOzUgR+GTpQllHY4xxhSqyASlqkOAwUAS8JqIrBaR+30oOwFnmfhczYDdBR0jIiFAJJDiw7nnA8tUda9HnHtVNVtVc4DXObVJ0ABj+jgf67Qlu1AtcC5gY4wpcz7dqKuqv6vqi8BNOPdEPejDaYuBdiLSyq3xjAXy3z81HZjgPr8cmKPO/5rTgbHuKL9WQDtgkcd548jXvCcijT1eXgKs8eW9VTUD29WnYe0w4vcfZdH2lLIOxxhjCuTLjbqd3CHca4CXcUbwFbn6ndundCswE1gPfKyqa0XkERG5yD3sTSBKRLYAdwL3uOeuBT4G1uHcIPwnVc1246kBDAc+y3fJJ93a3SpgCPCXomKsikKCg/IWL5xqgyWMMeWYFNXMIyK/4dRWpqlq/ia6Cq137966ZMmSsg6j1O3Yn8agp+YRXi2IRfcNo3Z4tbIOyRhThYnIUlXtnX+7L31QZ6jqC5UtOVVlLaNqckbreqRn5jB9hX2txpjyqcAEJSIfuz9Xu0O3cx+5zWimAhvXtwUAb/+8nZwcGyxhjCl/CltR98/uT1tZtxK6oFtjHv92A1uT0pi3aR9nd2xY1iEZY8xJCltRN3dW0Vu8rKZ7S+mEZwKlWnAQk/rHAPD6j9vLNhhjjPHCl2Hmw71sO9/fgZjSN7ZvCyLCQvh1237WJJZoPmBjjAmYwvqgbhaR1UCHfH1Q2wHrg6oEaodXy7tx942ftpVxNMYYc7LCalAfAiNxbpod6fHoparjSyE2Uwom9Y8hOEj4atUedh88VtbhGGNMnsL6oFJVNV5Vx7n9Tsdw5sOLEJEWpRahCahmdWtwQbfGZOcob/9sfVHGmPKjsFF8QN6S788CTYB9QEucmSGKM3GsKSuqcPh3SFoP+9bDgXg4dhDSUyHjMASH8FhWCOdXO8LBhXU4Et6XiAatoF4raNAFqoWX9TswxlRRRSYo4FHgDGC2qvYQkSE4c+GZ8ir9EGybB1u+hy0/wKHEQg+vDVwQ7L74adaJHRIM9TtAkx7Qsj+0OgvqWOXZGFM6fElQmaq6X0SCRCRIVeeKyBMBj8wUjyokLIElb8HazyDLY72n8Eho0BkadIKodlCjnrMtrBZkZ0JWBruTUnj9u19pKvu5soNQ4+Bm2L8Z9q1zHis+cMqq0xLanwsdzoeWAyAktGzerzGm0vMlQR0UkQjgR+ADEdkHZAU2LOMzVdjwNcx/An5ffWJ78zOg3TBoOxwaxUJQ4XcUNOkAqbs78/ayRNZVa8qzt8bB8aNOctq1COJ/gvif4eAOWPSa8wirDe3Pg26XQ+shlqyMMX7ly2SxNYF0nEUEr8JZs+kDVd0f+PACq8JPFrttPvzwMCQudV7XiIIe46HnBIhqU+zidqUc5exn5pGVo3z354F0aFTr5ANysiFxGWz6FjZ+6ySvXNXrQueLnes37QXibc1JY4w5VUGTxRaZoCqzCpugDu+FGXfBend5rZoNYNDfoOcfISTstIr+55drePfXHQzr1JA3Jpzy+3Ky/Vud5sTVnzqDMHJFt4e4q5xHRNVatdgYU3zFTlAicpiTl2gXTizHrqpaOxCBlqYKl6BUYdVU+PbvkH4QQiNgwF/gjJshtKZfLpF0OINBT83l6PFs3pnUh8EdGvh24u9rYOUUJ760JGdbUDXoNAJ6TYRWg6xWZYzxympQXlSoBJWeCl/c4vQ3AbQZCiNfgDrN/X6p137cyr9mbKB5verMumMQ1UODiz4pV3YmbP4elr0Hm2eC5jjbo9pBn2uh+zioXsfvMRtjKq7TSlAiMgBop6pvi0g0UEtVK/xdnRUmQe1dC1PHQ8o2CIuE8/4NcVcGrEaSmZ3DyJcWsOH3w9wyuA1/O69jyQpKTYTl78PSd+Gwu+5UtRoQOxr6XA+NuvovaGNMhVXiBCUi/wR6Ax1Utb2INMFZXbd/YEItPRUiQa2aBtNvg6xj0LAbjHnfuYk2wJbuOMDlr/xCsAgz/nwW7RvWKvqkgmRnOQMrFr0O2+ef2N6yP/S9ATqOgGBfBpQaYyqjEq+oC1wCXASkAbgr657G/1bGJ6rw41Pw2XVOcup+JVz3fakkJ4BeLesyrm8LsnKU+z5ffXqLGgaHQKeRMGE6/GmxU3sKjYAdP8O0CfBCLPz4NKQl++8NGGMqPF8S1HF1qlkKecPOTSDlZMM3f4U5jwIC5z8JF/8HqlUv1TD+fm5HoiNCWRx/gLf8NU9f/fZw4dNw53rnfUW1dWa6mPN/8Gxn+Pxm2L3cP9cyxlRoviSoj0XkVaCOiFwPzAbe8KVwETlPRDaKyBYRucfL/jARmeruXygiMR777nW3bxSRcz22x7vLzq8QkSUe2+uJyPcistn9WdeXGMudzHT4+I+w5E0IDoPR70K/G8tkBFxkjWr865JuADzx3Qb/rhkVXtt5X39aDOM/hXbnQvZxWPkhvDYY3hgOqz6GrAz/XdMYU6H4OkhiOHAOzhDzmar6vQ/nBAObcBY8TAAWA+NUdZ3HMbcAsap6k4iMBS5R1TEi0hmYAvTFmaR2NtBeVbNFJB7orarJ+a73JJCiqo+7ybCuqv69sBjLXR9UZjp8fDVsnuVMRTTuI2j5h7KOivu/WM3/fttJ6+iafHXbAGqGBai/KGUbLHoDlv8PMtxkWCMaek1whqrbPIDGVEqn0weFqn6vqner6l3AHBG5yofT+gJbVHWbqh4HPgJG5TtmFPCu+/wTYKiIiLv9I1XNcEcLbnHLK4xnWe8CF/sQY/nhmZxqRMHEGeUiOQHcf2Fn2jeMYFtyGg9/tTZwF6rXGs77F/x1PYx4Hhp2haPJ8NMz8EJ3+HAMbJrpNIEaYyq9wlbUre02s70sIueI41ZgGzDah7KbArs8Xie427weo6pZQCoQVcS5CswSkaUicoPHMQ1VdY9b1h7A6x2mInKDiCwRkSVJSUk+vI1SkD85/XF6uRqCHV4tmBfH9SA0JIiPlyTw2bKEwF4wtCb0ngQ3LYBrZkK3KyAoBDZ9Bx+OdpLVvCecYezGmEqrsBrU+0AHYDVwHTALuAIYpar5a0LeeOs0yd+eWNAxhZ3bX1V7AucDfxKRgT7EcqIQ1ddUtbeq9q5fvxxMw5OdBZ9eW26TU66OjWrz4IjOANzz2WqW7zwQ+IuKQIsz4LI3nEEVwx6GujGQugvm/Que7wofjIZ10yHreODjMcaUqsISVGtVnaiqr+Ks/9QbGKGqK3wsOwHwnOagGbC7oGNEJARnItqUws51h7mjqvuAzznR9LdXRBq7ZTXGWVyxfFOFr+9wZocIjyy3ySnXVf1acGW/FhzPyuHG95fye2p60Sf5S81oGHAH3LYcrv4CulzirFe1eaZT+3y2E3z3j5NndDfGVGiFJajM3Ceqmg1sV9XDxSh7MdBORFqJSCgwFpie75jpwAT3+eXAHHdI+3RgrDvKrxXQDlgkIjVFpBbkDXc/B1jjpawJwJfFiLVs/PCwM9NCSHW4clq5Tk4AIsLDF3WhX6t67DucwQ3vLyE9s5T7g4KCoM0QuOId+OsGOPdfUL+T01f122R4ZQD8dwD8OtlZSdgYU2EVNllsNu7NuThNbtWBoxRjslgRuQB4HggG3lLVx0TkEWCJqk4XkXCcpsQeODWnsaq6zT33PuAanLWn7lDVb0WkNU6tCZy1rD5U1cfc46OAj4EWwE7gClVNKSy+Mh3F9+t/YOa9Tt/K2CnQ/pyyiaMEUtKOM2ryAnalHOO8Lo2YfFVPgoPKcCJYVWcZkJUfwupPnIl0ASQIWg2EbqOdSWvDI8suRmNMgWyyWC/KLEGt/wqmXg0oXPIadB9T+jGcpk17D3PZf3/hcHoWV/ZrwWMXd0XKw2zlWRnOYIpVH7sj/tyGgOBQaHcOdL3UWWTRT7O/G2NOnyUoL8okQSUshXcudKYvGvognPXX0r2+Hy3ansLVby4kIyuH24e2487h7cs6pJMdOwDrvnTmM9zxM3njbEKqO6sNd77YWb4+zGbuMqYsWYLyotQT1IEd8MZQZ72kHuPhopcr/BpJ36/by03/W0p2jvLQyM5M7F86cwUW26E9TrJa8ykkLDqxPTgMWg925grscAHUjCqrCI2psixBeVGqCSr9ELx5jrPybKtBzvQ+wdVK59oB9vHiXfzt01UAPH5pN8b2LeczPqQmOqsRr/0Cdi0kr2YlQdD8DOh4gZOsotqUaZjGVBWWoLwotQSVkw0fXeUsORHdHq79vtIt2vfmgu3839frEIGnLu/O5b2alXVIvjm8FzZ+A+u/hu0/nuizAue7an+e82jez5YEMSZALEF5UWoJavZDsOA5CK8D18+ptH+ZvzJ/K49/uwEReH5MHKPi8k8cUs6lp8KW2bBhhrMqcIbH5Ljhkc4qxu3PhbbDnPuyjDF+YQnKi1JJUKumOWs6STBc/ZnT31GJvfTDZp75fhNBAs+M7s4lPSpITSq/7EzY+ZszInDTd7B/i8dOgSZx0Ha4k6ya9rLalTGnwRKUFwFPULuXw1vnQVY6nP8U9Luh6HMqgednb+L52ZsRgScvi+WK3s2LPqm827/VqVVtngnxP0O2xzIgYZHQeqBTw2o9uNQWlTSmsrAE5UVAE9SRJHhtkLMYX88JMPKFCj9irzhenrOZp2dtAuBfl3Tjyn7lfOBEcRw/CvELYMv3sHVOvtoVznyBrYdA60EQc5Y1BxpTBEtQXgQsQWVnwnujnHtvmvWFiV9DSJj/r1POvTp/K//+dgMAD47ozDUDKmnN4kC8k6i2znEGWqTnW9ixYTdodRbEDIAWZ0KNemUSpjHllSUoLwKWoGb8DRa9ChGN4Mb5UKuR/69RQbz983Ye/spZo/LPQ9txx7B25WPGiUDJyYbdK2DbXCdZ7VroNPHmEWjYxUlULc90ftZuUmbhGlMeWILyIiAJasWH8MXNEFQNJs2A5kWts1j5TVuyi79/uoochYl/iOHBEZ0JKsu5+0pTZrpzY3D8z06zYMIiZ2l7T5HNoVkf53elaS9o1A2qVS+beI0pA5agvPB7gkpc5gyKyM5w+px6TfRf2RXcd2v2cPuUFRzPzuHiuCY8eXl3QkN8WtC5csk85vye7PwFdvwKCYsh49DJxwSFQIPOzkjBRrHQOA4adrb5A02lZQnKC78mqCNJ8NpgOJQAvSbByOf9U24l8tPmJG58fylHj2fTv20U/x3fi9rhlWM2jRLLyYakjU7NKmExJC53ZhvRnHwHijM6sEFn51G/g3MjcXQ7q22ZCs8SlBd+S1DZmfDexbBjQZUeFOGLNYmpTHx7MclHMujYqBbvTOpLo8jwsg6rfMk4Ar+vgj0rYY/7M3kj5GR5OVicJsKo1hDVFuq2ckYR1msFdVpCWERpR29MsVmC8sJvCerbe2Dhf21QhI92pRxlwtuL2JaURsPaYbx2dW+6N69cUz/5XdZx2L8Z9q6FfesheZNT80rZBlrIopE1oqBOixOPSPdn3ZbOT2s2NOWAJSgv/JKgPAdFTPwGWvTzT3CV3IG049z4v6Us2p5CaEgQT14Wy8U9KtjUSOVBdiYc3Onci7V/izPk/UA8pGx3tnveUOxNjWinxpX7iGrrPtrYcHhTaixBeXHaCSphKbx9vg2KKKHjWTk89NVaPly4E4Drz2rF387rSLXgKjh4IhByciBtn7PMS+ouOLjDSVp5r3cVnsBq1of6HaFBJ2dofOPuTv+XNV8bP7ME5cVpJajDe51BEYd3Q+9rYMRzfo2tKnn/tx08PH0tWTlKjxZ1eHFsD5rXq1HWYVV+OTlwZK9b69ru1LpStrq1sa1w/Mip5wRVc0YUNu934lGnEkxlZcqUJSgvSpygso7DuyNh12/OjZZ/nA4hof4PsApZHJ/Cn6csZ3dqOrXCQ3jislgu6Na4rMOqulQhNcHp79q3DvaucQdrbCZv/axcdVs5cxDmPirZUjIm8CxBeVHyBJUB39wJW+Y4gyIiGvg/uCro4NHj3P3JKr5ftxeAC2Mb89DILtSvZU1K5UbGYWemjF0LncfOhScvSxIUAi3/4Cz42OECZzCGMUUokwQlIucBLwDBwBuq+ni+/WHAe0AvYD8wRlXj3X33AtcC2cDtqjpTRJq7xzcCcoDXVPUF9/iHgOuBJLf4f6jqjMLiO60mPlVn6XZLTn6lqvzvtx38a8YGjmVmU6dGNe6/sDOX9WxauadIqqhysmHPCtg2D7bOhR2/nDyqsFkf6HoZdL4YaluN2HhX6glKRIKBTcBwIAFYDIxT1XUex9wCxKrqTSIyFrhEVceISGdgCtAXaALMBtoDDYDGqrpMRGoBS4GLVXWdm6COqOrTvsZYqku+m2LZlXKUf3y+mp82JwPQq2Vd7r+wEz1a1C3jyEyhjh2AzbOdVYo3zYTMo852CXKWI+kxHjqcbwMtzEkKSlCBHC7VF9iiqttU9TjwETAq3zGjgHfd558AQ8X5M3kU8JGqZqjqdmAL0FdV96jqMgBVPQysB2xsciXUvF4N3rumL89c0Z3oiFCW7jjAJf/5hdunLGfn/qNlHZ4pSPW6EHsFXPEO3L0FLn8bOo5wFuzc8j1MmwDPdIRZDziDM4wpRCATVFNgl8frBE5NJnnHqGoWkApE+XKuiMQAPYCFHptvFZFVIvKWiHj9U1tEbhCRJSKyJCkpydshppwQES7r1Yy5dw3mlsFtCA0JYvrK3Qx5Zh53Tl3Bln1eRpmZ8iO0JnS9FMZ+AH/dCOc9AQ27wrEU+OVFeCEOPhzjNA1W4b5wU7BAJihvHQb5fwsLOqbQc0UkAvgUuENVc2fa/C/QBogD9gDPeAtKVV9T1d6q2rt+/fqFvwNTLtQKr8bfzuvInL8O4vJezhLyny1PZPhz87np/aUs3LafqjzYp0KoGQVn3AQ3LYDrfoDYsRBcDTZ9B+9fDK8MgJUfOSNkjXEFMkElAJ43SDQDdhd0jIiEAJFASmHnikg1nOT0gap+lnuAqu5V1WxVzQFex2liNJVIs7o1ePqK7sy7azBX9mtBSJDw3drfGfPab1z44gKmLt5JWoa3+epMuSECzXrDpa/Cnevh7PuhZgNnGPvnN8KLcfDbK86qxabKC+QgiRCcQRJDgUScQRJXqupaj2P+BHTzGCRxqaqOFpEuwIecGCTxA9AOZ+Teu0CKqt6R73qNVXWP+/wvQD9VHVtYjDZIomLbeyidD37bwQcLd7I/zfnLu2ZoMBfFNWF07+bENa9jI/8qgqwMWD0NfnkJkpwVmKkRDWf+CfpeD2G1yjY+E3BlNcz8AuB5nGHmb6nqYyLyCLBEVaeLSDjwPk5fUgowVlW3uefeB1wDZOE05X0rIgOAn4DVOMkK3OHkIvI+TvOeAvHAjbkJqyCWoCqH9Mxsvlm1hymLdrJkx4G87a2ja3Jxj6ZcHNeUFlE2M0W5l5MDG2fAT0/D7uXOtup14Q+3Qd8bLFFVYnajrheWoCqfLfsOM3XxLj5fvpvkIyfmmevevA4XdmvE+V0b2zRK5Z0qbJ0D8590ZmsBN1Hd7iYqW0KksrEE5YUlqMorKzuHn7fu54vliXy35neOZZ64ebRr09oM69SQYZ0a0qVJbWsGLK9UYft8mPc47PzV2VYjGgb8Bfpcaws1ViKWoLywBFU1HDuezbyN+/hm9R5+WL/vpGTVsHYY/dtGc1a7aPq3iaZBbVs8sdxRhW1zYc5jkOj+e41oBAPvgp4TbB7MSsASlBeWoKqe9MxsftmazOz1+/hh/V72Hjp5uYmWUTXo1bIuvVvWI7ZZJO0b1iI0xJb/KBdUYfP3MPdRZ+JacBZgHPx3d9h6SNnGZ0rMEpQXlqCqNlVl497DLNiczE+bk1kSn0La8ZNXpw0NDqJDo1p0aVKbjo1q0bGx87NODfurvcyowvqvYO5jJ0b91WsDg+91bgwOCi7b+EyxWYLywhKU8ZSVncOG3w+zJD6FZTsPsiYxlW3JaV6PbRwZTqfGtencuDZdm0YS2yySxpHh1p9VmnKyYfUnMP9xSNnmbKvfyalRsIbD1AAAFIdJREFUdRoFQVbzrSgsQXlhCcoU5XB6Jmt3H2LDnkNs+P0w6/ccYuPew6Rn5pxybHREKD1b1KV3TF16x9SjW9NIWx24NGRnwcopMP8JZ6VggAZdYPA9zjyAlqjKPUtQXliCMiWRnaPs2J/G+j2HWbs7ldWJqaxKSCX1WOZJx9UMDaZvq3r0bxvNgHbRdGhYy2pYgZR1HJa/Dz89A4cSnW0NOjuDKTpfbE1/5ZglKC8sQRl/UVXi9x9lSXwKS3ccYNH2lFOaBxvWDmNgu/oMbF+fAW2jqVvT+rECIisDlr0HC547kaii2zvD07tebqP+yiFLUF5YgjKBtCf1GL9s2c/PW5L5aUsySYdPjBgUgdimkQxoF82ZraPp1bIu1UPtL3y/ysqAFR/AT89B6k5nW+1mzhRKPf9oN/z+f3vnHmVXVd/xz/c+55kJSQZIQjQJBBBcEB7yKCD4aFVsDXSBYFuKLWvhs6hrsVpZVhe1Xa3WatWiIlUULRoQRLOkFUF5qoSEACEBIUMSZUgg78lM5nnv/fWPvSe5c7l3MpnJzL03/D5rnXXO2XuffX6/2XfO7+x99v79agg3UGVwA+VMFWbGs5u7eWjdVh5et5UVG3YymN/3HSuTTHDyvDZOff1hnDJvOovnHcaRbb4m66CQHwq+/n79lX2z/hrawhqqMz8AbUdVVz7HDVQ53EA51aJvMM+jG7bzm45t/Hb9dtZu2v2qkEgzmzMce0Qrxx3ZysL2ZuYd1sS8GY3MbmukOetrfg6YQiGE9/j1l+HFGEZOSTjhPXD6VTD/3NC1daYcN1BlcAPl1ApdfUOs3LiDJ1/ctXfr7q8cOqQxnWRmS4aZzRlaG9K0NqRobUjRlEnRkE7SmE6STSfIphJkUgkyyZH7dNE+G/fppOI+QSop0omwTyZCejJxCD28Ox+HR78Ga38CFte+zToOTv9bOOm90DSjuvK9xnADVQY3UE6tYmZs6urn+Ze7ee6Vbn6/fQ+dO/t4cUcvm7v6Gci9epr7ZCOx12gVG7vGdJKmTJLGTJJpDWkOa8owvSnNrJYsR7Y1MGd6A3OmN3LktBpcJ9b1Eqy6BR7/LvS8EtKSGTjuQjjlr2DhW9xDxRTgBqoMbqCcesTM2DOYZ1v3ADt6B+nuz9HdP0RPf46+oXzYBvMM5goM5Ar0D+UZzBcYzBUY2ru3kJ8vkMuPTB/KF8gVwj5fMHJ5Y6hQmHBU9qZMkoXtzRzd3sKJc8IC5zfObWNaQ/rg/GEmQn4Ifnd3mKbe8Uv2BvBumgUnXhRm/80709dUTRJuoMrgBspxxk4+Gq2hfIFc3hjMFxgYKtA3lKd3MEfvYJ7dfUPs6htiZ+8gW7sHeLmrn01d/XTu6N0bVLKUY49o4YwFM3jT/BmcvXBm9R32dnWGhb9PLYXtHfvSW46E4y+E498N88+DVLZ6Mh5iuIEqgxsox5k6dvUO8sLWPax7pZs1m7p4urOLZzd3j5jNCMFgnXtMO+ctmsVZC2dWb/q9Gby8OrhTWnvXPi8VAOlmWPBmOOZtcPRbYcZCn2AxAdxAlcENlONUl4Fcnqc7u1i+YQePbdjBio076C1y2JtJJThzwQzOPzYscF50eEt1vmMNG6vf3R22V9aMzG+dE2YBzj8HjjoD2o/34cADwA1UGdxAOU5tMZgr8MQfdvJIxzYeWreN1Z27Rnz7OmJalvMWtXPOMTM5a+FMZrdVKWjh7k3hW1XHvbDhYejbMTI/Ow3mnAJzFsORJ4Vt5tHubqkCbqDK4AbKcWqb7T0DPNKxjQef28pD67axrWdk/K75M5s47fUzWDyvjZPnTef4I6dNffyuQiEsAN74SIj827lyn+eKYpLZ4HKp/biwn7EwbgtCSPvX8BChG6gyuIFynPph2BvHIx1beXR9GBLsGRi5ViyVEPNnNbPo8BaOObyFow5rZO70JuZMb6C9NUtLNjU1Q4TdL8NLj8Pm1WFocPNq2N1ZuXy6OXi0aDsKps2G1tnQcgQ0t8dtFjTOgMbpkKyBWY8HmaoYKEnvBL4CJIFvmdnnSvKzwPeA04DtwGVmtjHmXQdcBeSBa8zsntHqlLQAWArMAFYBV5hZ+WlDETdQjlO/5PIFntm8myf+sIun4uLmDdv3jDodPptKMLM5Q1tThrbGFNMa0rQ0pGjJpmjOxn0mSVM2RXMmRXM2SXPJcUs2RTaVOHBD178btj0PW56FHS/A9hdgxwbYuREGu8deT6YluGrKtoYt0wKZ5rClmyDdCKmGuM+GnlsqE9Z3JTPBwCXSkEiFNV7Dx3u3ZNziuRLhXMl9+UqOLJfMTGj4csoNlKQk8Dzwx0AnsAJ4n5k9U1Tmw8BJZvZBSZcDF5vZZZJOAH4InAHMAe4Djo2Xla1T0u3Aj81sqaQbgafM7BujyegGynEOLfoG87ywtYd1W7pZv3UPL+3so3NXH5t29bGtZ6BsHK/xkEyIpkyS5kyKpmxYqNyUTtGYCV48GjNJGtIJsqnkCG8e6eF9UqSi1450ArL5Hlr7X6alfzMNA1tp6N9Ktn8LmYEdpPvDlhrcRXJgF7KpX6S9P3aecS2HXfjpcV9fyUBN5hLpM4AOM1sfBVgKLAGeKSqzBLg+Ht8B3KDwWrIEWGpmA8AGSR2xPsrVKelZ4K3AX8Qyt8R6RzVQjuMcWjRmknsXAJejdzDH9p5BuvqG2N03RFffED0DOfYM5NgzmKdnIEfvQI6egTx7BnL0DoV9yM+xZyCUGcwV4gLpyu6oxse0uB1dId9opY9WemlRHy300ao+GhmgiX6aNEADg2QZokFhnxnelCdNjhQ5MuRJkidFnjR5EiqQiudJCjGvQIKQnlQhpoe05N4tlH9mSz/nHOS/BEyugZoLFC0coBM4s1IZM8tJ6gJmxvRHS66dG4/L1TkT2GVmuTLlRyDpauBqgNe97nUHppHjOHVNUyZF04wU8yZYz1C+QO9gNGJxkXLvYPDg0T/szWNopDePsMjZ9nr0yEWvHUMFI18Iebl8gbxBvhDyzSBvRr5gmBkFg4K1kS+Eka89Bj2MHAUTQgJJJASJ4X1CJCSSEolE6AUmFHwthjQhQroU6qF4FNPAMAoFKOyVxSiYcfHiso/bCTOZBqrcAG3peGKlMpXSy03PGa38qxPNbgJugjDEV66M4zjOaKSTCdoaE7Q1HnoTFmqJyZyP2QkjXlSOAjZVKiMpBbQBO0a5tlL6NmB6rKPSvRzHcZw6YjIN1ApgkaQFkjLA5cCykjLLgCvj8SXAryzM2lgGXC4pG2fnLQIeq1RnvOb+WAexzp9Oom6O4zjOJDNpQ3zxm9JHgXsIU8JvNrO1kj4LrDSzZcC3ge/HSRA7CAaHWO52woSKHPARsxC0pVyd8Zb/ACyV9C/AE7Fux3Ecp07xhbo+zdxxHKeqVJpm7t4MHcdxnJrEDZTjOI5Tk7iBchzHcWoSN1CO4zhOTfKaniQhaSvw+wlUMYuwButQw/WqHw5FncD1qicOhk6vN7P20sTXtIGaKJJWlpt5Uu+4XvXDoagTuF71xGTq5EN8juM4Tk3iBspxHMepSdxATYybqi3AJOF61Q+Hok7getUTk6aTf4NyHMdxahLvQTmO4zg1iRsox3EcpyZxAzVOJL1T0nOSOiR9stryjBdJGyU9LelJSStj2gxJ90paF/eHVVvO/SHpZklbJK0pSiurhwJfjW23WtKp1ZN8dCrodb2kl2KbPSnpwqK866Jez0l6R3WkHh1J8yTdL+lZSWslfSym13V7jaJXvbdXg6THJD0V9fqnmL5A0vLYXrfFEEjEMEm3Rb2WS5o/7pubmW8HuBFCfbwALAQywFPACdWWa5y6bARmlaT9O/DJePxJ4PPVlnMMerwZOBVYsz89gAuB/yNEYj4LWF5t+Q9Qr+uBa8uUPSH+FrPAgvgbTVZbhzJyzgZOjcetwPNR9rpur1H0qvf2EtASj9PA8tgOtwOXx/QbgQ/F4w8DN8bjy4Hbxntv70GNjzOADjNbb2aDwFJgSZVlOpgsAW6Jx7cAF1VRljFhZg8RYooVU0mPJcD3LPAoIRrz7KmR9MCooFcllgBLzWzAzDYAHYTfak1hZpvNbFU87gaeBeZS5+01il6VqJf2MjPriafpuBnwVuCOmF7aXsPteAfwNkkaz73dQI2PucCLReedjP5DrGUM+IWkxyVdHdOOMLPNEP7pgMOrJt3EqKTHodB+H43DXTcXDcHWnV5x+OcUwlv5IdNeJXpBnbeXpKSkJ4EtwL2E3t4uM8vFIsWy79Ur5ncBM8dzXzdQ46Pc20C9ztc/x8xOBd4FfETSm6st0BRQ7+33DeBoYDGwGfhiTK8rvSS1AHcCHzez3aMVLZNWT3rVfXuZWd7MFgNHEXp5byhXLO4Pml5uoMZHJzCv6PwoYFOVZJkQZrYp7rcAdxF+fK8MD6HE/ZbqSTghKulR1+1nZq/EB0YB+G/2DQvVjV6S0oSH+K1m9uOYXPftVU6vQ6G9hjGzXcADhG9Q0yWlYlax7Hv1ivltjH2YegRuoMbHCmBRnMWSIXwIXFZlmQ4YSc2SWoePgT8B1hB0uTIWuxL4aXUknDCV9FgG/HWcHXYW0DU8tFQPlHx/uZjQZhD0ujzOoloALAIem2r59kf8HvFt4Fkz+1JRVl23VyW9DoH2apc0PR43Am8nfF+7H7gkFittr+F2vAT4lcUZEwdMtWeI1OtGmFn0PGEs9lPVlmecOiwkzCJ6Clg7rAdhvPiXwLq4n1FtWcegyw8JwydDhDe4qyrpQRiC+Fpsu6eB06st/wHq9f0o9+r4MJhdVP5TUa/ngHdVW/4KOp1LGPJZDTwZtwvrvb1G0ave2+sk4Iko/xrgMzF9IcGgdgA/ArIxvSGed8T8heO9t7s6chzHcWoSH+JzHMdxahI3UI7jOE5N4gbKcRzHqUncQDmO4zg1iRsox3EcpyZxA+VMKpJM0heLzq+VdP1Bqvu7ki7Zf8kJ3+fS6KH6/jJ5X4genr9QJu89Okie7qNH7GvHWPZ0SV89GPcdK5LmSLpjP2Xmq8gr+wTv935Jcw5GXSX1Tslvyhkbqf0XcZwJMQD8uaR/M7Nt1RZmGElJM8uPsfhVwIfN7FUGCvgA0G5mAyX1p8xsGVVYwG1mK4GVU3zPTexbtDkVvJ+wJuegeV4o8org1Ajeg3ImmxxwE/CJ0ozSt1VJPXF/gaQHJd0u6XlJn5P0lzEmzdOSji6q5u2SHo7l/jRen4w9mxXRQecHiuq9X9IPCAsnS+V5X6x/jaTPx7TPEBZg3ljaS5K0DGgGlku6LOrzpdjT+nx8y78hlm2XdGeUaYWkc2L69dGB6AOS1ku6pqj+TynECboPOK4o/RpJz0TdlpbR4wJJP9tf/UXlk1H2NVH/T8T0xZIejfe5S/viMx0j6T6F+ECrJB1d3DuKxw/HvFWS/qj0nmXkfUDSHZJ+J+nW6JUBSafF38Ljku6RNDv+Zk4HblWIr3S+pB/H8ksk9UnKKMQxWr8fXR6Q9K+SHgQ+ViLXP8e/iz8nq0W1Vyn7dmhvQA8wjRB3qg24Frg+5n0XuKS4bNxfAOwixNfJAi8B/xTzPgZ8uej6nxNetBYRPC00AFcD/xjLZAm9iQWx3j3AgjJyzgH+ALQTRhZ+BVwU8x6ggveCYZmL5PkZMaYP4S3/hnj8A+DcePw6gjscCLGCfhPlnAVsJ4QzOI1gRJvi36+DGFOI0GsYXrU/vYxMFwA/G63+kvKnAfcWnU+P+9XA+fH4s0V/9+XAxfG4Ico4nxizKp43xONFwMp4vLdMGXm7CP7cEsBvCS8F6Sh7eyx3GXBzaZvE9toQj/+D4IrsHOB84If70eUB4OslbXgJITbVNyE4M/CtOpt3aZ1Jx8x2S/oecA3QN8bLVlj0tybpBeAXMf1p4C1F5W634IRzXXxbPp7gU/Ckot5ZG+FBOQg8ZiH2TilvAh4ws63xnrcSggX+ZIzyDvMjKz90+HbgBO0LizNN0Q8icLeFIcIBSVuAI4DzgLvMrDfKUzxUuJrQe/jJGOUrV39nUf56YKGk/wLuJoRfaSMYqgdjmVuAH0WZ55rZXQBm1h/lK75fGrhB0mIgDxw7BhkfM7POWNeTBGO2C3gjcG+sP0lw+zQCM8spRG99A8ER65cIbZcEHq6kS1EVt5VU+WlCUMSrcaqKGyhnqvgysAr4TlFajjjMHId0MkV5xd90CkXnBUb+bkt9dRnBd9vfmdk9xRmSLiD0oMoxroBqZahUfwI428xGGOj44C3WNc8+/Sr5IXs34QH8HuDTkk60fXF5ylGp/nATs52STgbeAXwEeC9lhmSHRR7lPsN8AngFOJmgd/8Yrikno4C1Znb2GK5/mBAyZgi4j9ATShJ67PujtM1WAKdJmmFm4/LC7RwcfGzVmRLiP/rthAkHw2wkDC9BiMKZHkfVl0pKKHyXWkhwunkP8CGF0AdIOlbBW/toLAfOlzRLUhJ4H/Dgfq45EH4BfHT4JPYuRuMh4GJJjbHX8mfxugQwz8KEjb8HpgMtExFM0iwgYWZ3EnoPp5pZF7BT0nmx2BXAgxbiG3VKuihem5XUVFJlG7A59myvIBiK8fAc0C7p7HivtKQTY143Iaz6MA8BHwd+G3vBMwm96bWVdBnlvj8HPgfcXdTLdaqA96CcqeSLFD2kCbFxfirpMYL36kq9j9F4jvCwOQL4oJn1S/oWYYhoVeyZbWU/YevNbLOk6wghBAT8r5kdzDAj1wBfk7Sa8H/3EPDBUeRZJek2gkfs3xN6CBAe9v8Th60E/KeFGD0TYS7wnaLJANfF/ZWEySFNhGHAv4npVwDflPRZQo/lUkLPdpivA3dKupTw9xxPu2Jmg3GY9qtR3xShJ76W0EO6UVIfcDYxIi/h7wphGHSLmQ33QivpUunew8OZyyRdWNrzdaYG92buOI7j1CQ+xOc4juPUJG6gHMdxnJrEDZTjOI5Tk7iBchzHcWoSN1CO4zhOTeIGynEcx6lJ3EA5juM4Ncn/A5argvZOXDNfAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 300, 101)\n", "kdeplot(unbiased, xs, 'Random sample of people')\n", "kdeplot(biased, xs, 'Random sample of friends')\n", "\n", "decorate(xlabel='Number of friends in social network',\n", " title='Distribution of social network size')\n", "\n", "plt.savefig('inspection/social.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 300, 101)\n", "cdfplot(unbiased, xs, 'Random sample of people')\n", "cdfplot(biased, xs, 'Random sample of friends')\n", "\n", "decorate(xlabel='Number of friends in social network',\n", " title='Distribution of social network size',\n", " xlim=[-10, 310])\n", "\n", "plt.savefig('inspection/social.png', dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the means of the distributions." ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(108.5679623669225, 43.69101262688784)" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(biased), np.mean(unbiased)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the probability that the friend of a user has more friends than the user." ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7655360237682595" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(biased > unbiased)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Relay race\n", "\n", "The following function read the data from the 2010 James Joyce Ramble 10K, where I ran my personal record time." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "import relay\n", "results = relay.ReadResults()\n", "unbiased = relay.GetSpeeds(results)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, the weights are related to the difference between each element of the sample and the hypothetical speed of the observer." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "weights = np.abs(np.array(unbiased) - 7)\n", "biased = resample_weighted(unbiased, weights)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here's the plot." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(3, 11, 101)\n", "kdeplot(unbiased, xs, 'Seen by spectator')\n", "kdeplot(biased, xs, 'Seen by runner at 7 mph', bw_method=0.2)\n", "\n", "decorate(xlabel='Running speed (mph)',\n", " title='Distribution of running speed')\n", "\n", "plt.savefig('inspection/relay.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(3, 11, 101)\n", "cdfplot(unbiased, xs, 'Seen by spectator')\n", "cdfplot(biased, xs, 'Seen by runner at 7 mph')\n", "\n", "decorate(xlabel='Running speed (mph)',\n", " title='Distribution of running speed')\n", "\n", "plt.savefig('inspection/relay.png', dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prison sentences\n", "\n", "First we read the [data from the Bureau of Prisons web page](https://www.bop.gov/about/statistics/statistics_inmate_sentences.jsp)." ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Sentence# of Inmates% of Inmates
00 to 1 year*51552.3 %
1> 1 year to < 3 years**1861911.3%
23 years to < 5 years1789710.9%
35 years to < 10 years4188725.4%
410 years to < 15 years3499521.3%
515 years to < 20 years1867411.3%
620 years or more but < Life2273813.8%
7Life46002.8%
\n", "
" ], "text/plain": [ " Sentence # of Inmates % of Inmates\n", "0 0 to 1 year* 5155 2.3 %\n", "1 > 1 year to < 3 years** 18619 11.3%\n", "2 3 years to < 5 years 17897 10.9%\n", "3 5 years to < 10 years 41887 25.4%\n", "4 10 years to < 15 years 34995 21.3%\n", "5 15 years to < 20 years 18674 11.3%\n", "6 20 years or more but < Life 22738 13.8%\n", "7 Life 4600 2.8%" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tables = pd.read_html('BOP Statistics_ Sentences Imposed.html')\n", "df = tables[0]\n", "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the low and I sentences for each range. I assume that the minimum sentence is about a week, that sentences \"less than life\" are 40 years, and that a life sentence is between 40 and 60 years." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "sentences = [(0.02, 1),\n", " (1, 3),\n", " (3, 5),\n", " (5, 10),\n", " (10, 15),\n", " (15, 20),\n", " (20, 40),\n", " (40, 60)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can get the counts from the table." ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "counts = df['# of Inmates']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's a different version of `generate_sample` for a continuous quantity." ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "def generate_sample(sizes, counts):\n", " \"\"\"Generate a sample from a distribution.\n", " \n", " sizes: sequence of (low, high) pairs\n", " counts: sequence of integers\n", " \n", " returns: NumPy array\n", " \"\"\"\n", " t = []\n", " for (low, high), count in zip(sizes, counts):\n", " print(count, low, high)\n", " sample = np.random.uniform(low, high, count)\n", " t.extend(sample)\n", " return np.array(t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, the data are biased." ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5155 0.02 1\n", "18619 1 3\n", "17897 3 5\n", "41887 5 10\n", "34995 10 15\n", "18674 15 20\n", "22738 20 40\n", "4600 40 60\n" ] } ], "source": [ "biased = generate_sample(sentences, counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we have to unbias them with weights inversely proportional to the values.\n", "\n", "Prisoners in federal prison typically serve 85% of their nominal sentence. We can take that into account in the weights." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "weights = 1 / (0.85 * np.array(biased))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the unbiased sample." ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "unbiased = resample_weighted(biased, weights)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the plotted distributions." ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 60, 101)\n", "kdeplot(unbiased, xs, 'Seen by judge', bw_method=0.5)\n", "kdeplot(biased, xs, 'Seen by prison visitor', bw_method=0.5)\n", "\n", "decorate(xlabel='Prison sentence (years)',\n", " title='Distribution of federal prison sentences')\n", "\n", "plt.savefig('inspection/orange.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 60, 101)\n", "cdfplot(unbiased, xs, 'Seen by judge')\n", "cdfplot(biased, xs, 'Seen by prison visitor')\n", "\n", "decorate(xlabel='Prison sentence (years)',\n", " title='Distribution of federal prison sentences')\n", "\n", "plt.savefig('inspection/orange.png', dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compute the distribution of sentences as seen by someone at the prison for 13 months." ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "x = 0.85 * unbiased\n", "y = 13 / 12\n", "\n", "weights = x + y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the sample." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "kerman = resample_weighted(unbiased, weights)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here's what it looks like." ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 60, 101)\n", "kdeplot(unbiased, xs, 'Seen by judge', bw_method=0.5)\n", "kdeplot(kerman, xs, 'Seen by Kerman', bw_method=0.5)\n", "kdeplot(biased, xs, 'Seen by visitor', bw_method=0.5)\n", "\n", "decorate(xlabel='Prison sentence (years)',\n", " title='Distribution of federal prison sentences')\n", "\n", "plt.savefig('inspection/orange.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 60, 101)\n", "cdfplot(unbiased, xs, 'Seen by judge')\n", "cdfplot(kerman, xs, 'Seen by Kerman')\n", "cdfplot(biased, xs, 'Seen by visitor')\n", "\n", "decorate(xlabel='Prison sentence (years)',\n", " title='Distribution of federal prison sentences')\n", "\n", "plt.savefig('inspection/orange.png', dpi=150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the unbiased distribution, almost half of prisoners serve less than one year." ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.44996809771215024" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(unbiased<1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But if we sample the prison population, barely 3% are short timers." ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0313250083553611" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(biased<1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the means of the distributions." ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.5762182609236373" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(unbiased)" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "12.778002004195422" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(biased)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10.455078798407829" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(kerman)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The dartboard problem" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from matplotlib.patches import Circle\n", "\n", "def draw_dartboard():\n", " ax = plt.gca()\n", "\n", " c1 = Circle((0, 0), 170, color='C3', alpha=0.3)\n", " c2 = Circle((0, 0), 160, color='white')\n", " c3 = Circle((0, 0), 107, color='C3', alpha=0.3)\n", " c4 = Circle((0, 0), 97, color='white')\n", " c5 = Circle((0, 0), 16, color='C3', alpha=0.3)\n", " c6 = Circle((0, 0), 6, color='white')\n", " for circle in [c1, c2, c3, c4, c5, c6]:\n", " ax.add_patch(circle)\n", " plt.axis('equal')\n", " " ] }, { "cell_type": "code", "execution_count": 279, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "draw_dartboard()\n", "plt.text(0, 10, '25 ring')\n", "plt.text(0, 110, 'triple ring')\n", "plt.text(0, 170, 'double ring')\n", "\n", "plt.savefig('inspection/darts0.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 280, "metadata": {}, "outputs": [], "source": [ "sigma = 50\n", "n = 100\n", "error_x = np.random.normal(0, sigma, size=(n))\n", "error_y = np.random.normal(0, sigma, size=(n))" ] }, { "cell_type": "code", "execution_count": 281, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "draw_dartboard()\n", "plt.plot(error_x, error_y, '.')\n", "plt.savefig('inspection/darts1.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 286, "metadata": {}, "outputs": [], "source": [ "sigma = 50\n", "n = 10000\n", "error_x = np.random.normal(0, sigma, size=(n))\n", "error_y = np.random.normal(0, sigma, size=(n))" ] }, { "cell_type": "code", "execution_count": 310, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as pl\n", "\n", "ax = sns.kdeplot(error_x, error_y, shade=True, cmap=\"PuBu\")\n", "ax.collections[0].set_alpha(0)\n", "plt.axis([-240, 240, -175, 175])\n", "\n", "decorate(xlabel='x distance from center (mm)',\n", " ylabel='y distance from center (mm)',\n", " title='Estimated density')\n", "\n", "\n", "plt.savefig('inspection/darts2.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 265, "metadata": {}, "outputs": [], "source": [ "rs = np.hypot(error_x, error_y)" ] }, { "cell_type": "code", "execution_count": 308, "metadata": {}, "outputs": [], "source": [ "np.random.seed(18)\n", "sigma = 50\n", "n = 10000\n", "error_x = np.random.normal(0, sigma, size=(n))\n", "error_y = np.random.normal(0, sigma, size=(n))" ] }, { "cell_type": "code", "execution_count": 309, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(-200, 200, 101)\n", "\n", "#ys = np.exp(-(xs/sigma)**2/2)\n", "#pmf = Pmf(ys, index=xs)\n", "#pmf.normalize()\n", "#pmf.plot(color='gray')\n", "\n", "unbiased = error_x\n", "biased = resample_weighted(unbiased, np.abs(unbiased))\n", "\n", "kdeplot(unbiased, xs, 'Density at a point')\n", "kdeplot(biased, xs, 'Total density in a ring')\n", "#kdeplot(rs, xs, 'Total density in a ring')\n", "\n", "decorate(xlabel='Distance from center (mm)',\n", " ylabel='Density',\n", " xlim=[0, 210])\n", "\n", "plt.savefig('inspection/darts3.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 267, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "xs = np.linspace(0, 200, 101)\n", "unbiased = np.abs(error_x)\n", "biased = resample_weighted(unbiased, unbiased)\n", "\n", "cdfplot(unbiased, xs, 'Density at a point')\n", "cdfplot(biased, xs, 'Total density in a ring')\n", "\n", "decorate(xlabel='Distance from center (mm)',\n", " ylabel='Density')\n", "\n", "plt.savefig('inspection/darts4.png', dpi=150)" ] }, { "cell_type": "code", "execution_count": 260, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.15" ] }, "execution_count": 260, "metadata": {}, "output_type": "execute_result" } ], "source": [ "triple = (biased > 97) & (biased < 107)\n", "triple.mean() * 100" ] }, { "cell_type": "code", "execution_count": 261, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.6" ] }, "execution_count": 261, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ring50 = (biased > 6) & (biased < 16)\n", "ring50.mean() * 100" ] }, { "cell_type": "code", "execution_count": 262, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.22" ] }, "execution_count": 262, "metadata": {}, "output_type": "execute_result" } ], "source": [ "double = (biased > 160) & (biased < 170)\n", "double.mean() * 100" ] }, { "cell_type": "code", "execution_count": 263, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.76" ] }, "execution_count": 263, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bull = (biased < 6)\n", "bull.mean() * 100" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }