{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Chapter 5\n", "### This notebook and the figures below are made by Yeseul Lee, under the guidance of Steven Skiena." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import math\n", "import random\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from matplotlib import gridspec\n", "from matplotlib import colors\n", "from scipy import stats\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.2 Left - Binomial distribution of coin flips\n", "#### Probability of number of heads if a coin is tossed 200 numbers (p=0.5)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(65, 135)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rQJzL1pQp0KSJT7NdX1JIrqNHh1JYs5oW+nVFI+v1DSSdIun26NKv5kc4F4/J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\nzlXgicE551wFnhicc85V4InBOedcBf8fpIfgfrcAaBUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 200\n", "p = 0.5\n", "x = np.arange(stats.binom.ppf(0.000000001, n, p), stats.binom.ppf(0.999999999, n, p))\n", "plt.plot(x, stats.binom.pmf(x, n, p), linewidth=\"1.5\")\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Probability\")\n", "plt.title(\"The Binomial Distribution of Coin Flips\")\n", "plt.xlim(65,135)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.2 Right\n", "#### Probablity of a number of lightbulb burnouts (p=0.001) after 1000 events\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VTdZUl14KJ54IgwfDH/+Yhhs366jKXt0E9ARmZs99G1Frc/77v9NtT089Fbp0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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 1000\n", "p = 0.001\n", "x = np.arange(stats.binom.ppf(0.0000000000000001, n, p), stats.binom.ppf(0.999999999999999999, n, p))\n", "plt.plot(x, stats.binom.pmf(x, n, p), linewidth=\"1.5\")\n", "plt.xlabel(\"X\")\n", "plt.xlim(0,5)\n", "plt.ylabel(\"Probability\")\n", "plt.title(\"The Binomial Distribution of Lightbulb Burnouts\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.3\n", "#### Reference http://docs.scipy.org/doc/scipy-0.16.0/reference/generated/scipy.stats.norm.html" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-3.5, 3.5)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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00dCkI9OoUfUQJa2iJCKSkHbuhOuvd8466yM6dDg2dBxJICoaJH48/zxVaWlk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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(13,4.5))\n", "\n", "# LEFT PLOT\n", "plt.subplot(121)\n", "x = np.linspace(stats.norm.ppf(0.0001), stats.norm.ppf(0.9999), 100)\n", "plt.plot(x, stats.norm.pdf(x), 'r-', linewidth=1.2)\n", "plt.fill_between(x, stats.norm.pdf(x), facecolor='red', alpha=0.25)\n", "plt.xlabel('x')\n", "plt.ylabel('Density')\n", "plt.title(\"pdf\")\n", "plt.ylim(0,0.42)\n", "plt.xlim(-3.5, 3.5)\n", "\n", "# RIGHT PLOT\n", "plt.subplot(122)\n", "plt.plot(x, stats.norm.cdf(x), 'b-', linewidth=1.2)\n", "plt.fill_between(x, stats.norm.cdf(x), facecolor='blue', alpha=0.25)\n", "plt.xlabel('x')\n", "plt.ylabel('Density')\n", "plt.title(\"cdf\")\n", "plt.ylim(-0.005,1.05)\n", "plt.xlim(-3.5, 3.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.4 - Normal distribution" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note: stats.norm.pdf(x, mean, stdev)\n", "\n", "x = np.linspace(stats.norm.ppf(0.00000000001), stats.norm.ppf(0.99999999999), 100000)\n", "mean = 0\n", "sigma = 1\n", "pdf = stats.norm.pdf(x, mean, sigma)\n", "plt.plot(x, pdf, 'b-')\n", "\n", "plt.fill_between(x, pdf, alpha=0.15)\n", "plt.fill_between(x, pdf, where=( x <-3*sigma), alpha=0.15)\n", "plt.fill_between(x, pdf, where=( x <-2*sigma), alpha=0.15)\n", "plt.fill_between(x, pdf, where=( x <-1*sigma), alpha=0.15)\n", "plt.fill_between(x, pdf, where=( x > 3*sigma), alpha=0.15)\n", "plt.fill_between(x, pdf, where=( x > 2*sigma), alpha=0.15)\n", "plt.fill_between(x, pdf, where=( x > 1*sigma), alpha=0.15)\n", "\n", "plt.ylim(0, 0.42)\n", "plt.xlim(-3.5, 3.5)\n", "\n", "#Hide y axis\n", "plt.gca().axes.get_yaxis().set_ticks([])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.5\n", "#### Plot the Poisson distribution for mu=1000" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(850, 1150)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Or15QUQGr/G44t5VqGiBzlaSVwEXAY8Ca6DEC8GZVl1fGjIFWreCII5KOpPCV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\njScZ55xzsfEk45xzLjb/H9okTNP8sPf4AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu = 1000\n", "x = np.arange(stats.poisson.ppf(0.0000001, mu), stats.poisson.ppf(0.9999999, mu))\n", "plt.plot(x, stats.poisson.pmf(x, mu), linewidth=\"1.5\")\n", "plt.xlabel(\"X\")\n", "plt.ylabel(\"Probability\")\n", "plt.title(\"The Poisson Distribution for mu = 1000\")\n", "plt.xlim(850, 1150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.8" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(stats.norm.ppf(0.00000001), stats.norm.ppf(0.99999999), 1000)\n", "\n", "plt.figure(figsize=(6,4.5))\n", "plt.plot(x, stats.norm.cdf(x), linewidth=1.5)\n", "\n", "ax = plt.axes()\n", "input_y = 0.729\n", "input_x = stats.norm.ppf(input_y)\n", "\n", "#line input_y\n", "ax.annotate(\"0.729\",\n", " xy=(input_x, input_y), xycoords='data',\n", " xytext=(-3.3, input_y), textcoords='data',\n", " ha=\"center\", va=\"center\",\n", " arrowprops=dict(arrowstyle=\"->\",\n", " connectionstyle=\"arc3\")\n", " )\n", "#line input_x\n", "ax.annotate(\"0.62\",\n", " xy=(input_x, input_y), xycoords='data',\n", " xytext=(input_x, -0.04), textcoords='data',\n", " ha=\"center\", va=\"center\",\n", " arrowprops=dict(arrowstyle=\"<-\",\n", " connectionstyle=\"arc3\")\n", " )\n", "\n", "plt.ylim(0,1.01)\n", "plt.xlim(-3,3)\n", "plt.title('cdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.9 Left - Random sampling from circle" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(-1.01, 1.01, -1.01, 1.01)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4cJUjpXoGzJzLIK0Qqmc4jeALiFxVizNtOnVOvIbBzcdqmOlGAqN6GzD8XmyN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KM5XZ9mPnBf7nvW+HU/d+lj5ZpWu60x+BFs9xE4dw7WBfho8TUuDPXOQKEMghMCXB/g2wGeHWj7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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#10,000 points\n", "\n", "x = []\n", "y = []\n", "n = 10000\n", "\n", "while len(x) < n:\n", " radius = random.random()\n", " angle = random.randint(0,360)\n", " r = math.radians(angle)\n", " x.append(radius*math.cos(r))\n", " y.append(radius*math.sin(r))\n", " \n", "plt.figure(figsize=(5,5))\n", "plt.xlim(-1.01, 1.01)\n", "plt.ylim(-1.01, 1.01)\n", "circle = plt.Circle((0,0), 1, color='r', fill=False)\n", "\n", "ax = plt.gca()\n", "ax.add_artist(circle)\n", "ax.plot(x,y, 'ro', markersize = 1)\n", "ax.axis('off')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.9 Right - Uniform sampling" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(-1.01, 1.01, -1.01, 1.01)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ved6VgA1iKAly66SVuET1QacCu00hDKadal+s8TFZIMj/V8weMTF9x4GSiY1K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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = []\n", "y = []\n", "n = 10000\n", "while len(x) < n:\n", " px = random.uniform(-1, 1)\n", " py = random.uniform(-1, 1)\n", " if math.sqrt(px*px + py*py) <= 1:\n", " x.append(px)\n", " y.append(py)\n", "\n", "plt.figure(figsize=(5,5))\n", "plt.xlim(-1.01, 1.01)\n", "plt.ylim(-1.01, 1.01)\n", "circle = plt.Circle((0,0), 1, color='r', fill=False)\n", "\n", "ax = plt.gca()\n", "ax.add_artist(circle)\n", "ax.plot(x,y, 'ro', markersize = 1)\n", "ax.axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.11 Left - Decreasing Difference in means" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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Orr3WefWGP5hHX850dprI+8XOnWx529s8skZ+7MkoGkzoQyB0nzDkuym1Hn2G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\nrLNgxgy49NL0vkrz8jJ2JtC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Note: stats.norm.pdf(x, mean, stdev)\n", "\n", "mean = 0\n", "diff = 1.5\n", "std = 1\n", "\n", "x = np.linspace(stats.norm.ppf(0.00000000001), stats.norm.ppf(0.99999999999), 100000)\n", "y1 = stats.norm.pdf(x, mean-diff, std)\n", "y2 = stats.norm.pdf(x, mean+diff, std)\n", "plt.fill_between(x, y1, facecolor='red', interpolate= True, linewidth=0, alpha=0.5)\n", "plt.fill_between(x, y2,facecolor='blue', interpolate= True, linewidth=0, alpha=0.5)\n", "\n", "plt.ylim(0, 0.42)\n", "plt.xlim(-6, 6)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.11 Middle" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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j/oYNrnZ/wglw1IFG8I6OeqqqauKLb4y0tMAjj8B73gMXXADnnedm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\nw3P+P08UxhoGW/aQAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean = 0\n", "diff = 1\n", "std = 1\n", "\n", "x = np.linspace(stats.norm.ppf(0.00000000001), stats.norm.ppf(0.99999999999), 100000)\n", "y1 = stats.norm.pdf(x, mean-diff, std)\n", "y2 = stats.norm.pdf(x, mean+diff, std)\n", "plt.fill_between(x, y1, facecolor='red', interpolate= True, linewidth=0, alpha=0.5)\n", "plt.fill_between(x, y2,facecolor='blue', interpolate= True, linewidth=0, alpha=0.5)\n", "\n", "plt.ylim(0, 0.42)\n", "plt.xlim(-6, 6)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.11 Right" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean = 0\n", "diff = 0.5\n", "std = 1\n", "\n", "x = np.linspace(stats.norm.ppf(0.00000000001), stats.norm.ppf(0.99999999999), 100000)\n", "y1 = stats.norm.pdf(x, mean-diff, std)\n", "y2 = stats.norm.pdf(x, mean+diff, std)\n", "plt.fill_between(x, y1, facecolor='red', interpolate= True, linewidth=0, alpha=0.5)\n", "plt.fill_between(x, y2,facecolor='blue', interpolate= True, linewidth=0, alpha=0.5)\n", "\n", "plt.ylim(0, 0.42)\n", "plt.xlim(-6, 6)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.12 Left - Increasing variance" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean = 0\n", "std = 1\n", "\n", "x = np.linspace(stats.norm.ppf(0.00000000001), stats.norm.ppf(0.99999999999), 100000)\n", "y1 = stats.norm.pdf(x, mean-1, std)\n", "y2 = stats.norm.pdf(x, mean+1, std)\n", "plt.fill_between(x, y1, facecolor='red', interpolate= True, linewidth=0, alpha=0.5)\n", "plt.fill_between(x, y2,facecolor='blue', interpolate= True, linewidth=0, alpha=0.5)\n", "\n", "plt.ylim(0, 0.42)\n", "plt.xlim(-6, 6)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.12 Middle" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean = 0\n", "std = 1.5\n", "\n", "y1 = stats.norm.pdf(x, mean-1, std)\n", "y2 = stats.norm.pdf(x, mean+1, std)\n", "plt.fill_between(x, y1, facecolor='red', interpolate= True, linewidth=0, alpha=0.5)\n", "plt.fill_between(x, y2,facecolor='blue', interpolate= True, linewidth=0, alpha=0.5)\n", "\n", "plt.ylim(0, 0.42)\n", "plt.xlim(-6, 6)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.12 Right" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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jjOf+P2e8irBcUKiRAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean = 0\n", "std = 2\n", "\n", "y1 = stats.norm.pdf(x, mean-1, std)\n", "y2 = stats.norm.pdf(x, mean+1, std)\n", "plt.fill_between(x, y1, facecolor='red', interpolate= True, linewidth=0, alpha=0.5)\n", "plt.fill_between(x, y2,facecolor='blue', interpolate= True, linewidth=0, alpha=0.5)\n", "\n", "plt.ylim(0, 0.42)\n", "plt.xlim(-6, 6)\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For Figure 5.13, I made these functions." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# A function to find the min and max X of two lists\n", "def findMinMaxX(L1, L2): \n", " minX = min(min(L1), min(L2))\n", " maxX = max(max(L1), max(L2))\n", " return minX, maxX\n", "\n", "# A function to find the maximum difference of elements of same index in two lists.\n", "def maxDifference(L1, L2, numBins):\n", " maxDiff = 0\n", " index = 0\n", " for i in range(0, numBins):\n", " diff = abs(L1[i]-L2[i])\n", " if diff > maxDiff:\n", " maxDiff = diff\n", " index = i\n", " return maxDiff, index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.13 Left - Kolmogorov-Smirnov test" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu = 10\n", "sigma = 0.3 \n", "N = 100\n", "\n", "np.random.seed(3)\n", "s = np.random.normal(mu, sigma, N)\n", "np.random.seed(31)\n", "s2 = np.random.normal(mu, sigma, N)\n", "\n", "nX, mX = findMinMaxX(s, s2)\n", "newS = np.append(s, [mX]) #add the max\n", "newS2 = np.append(s2, [nX]) #add the min\n", "\n", "nbins = 10000\n", "\n", "#Graph the two cumulative histograms\n", "n1, bins1, patches1 = plt.hist(newS, nbins, normed=True, cumulative=True, histtype='step', color='red', linewidth='1.1')\n", "n2, bins2, patches2 = plt.hist(newS2, nbins, normed=True, cumulative=True, histtype='step', color='blue', linewidth='1.1')\n", "center = (bins1[:-1] + bins1[1:]) / 2\n", "\n", "#Finding the max difference and its index.\n", "maxn, index = maxDifference(n1, n2, nbins)\n", " \n", "#The x and y axis and the title\n", "plt.ylim(0,0.999)\n", "plt.xlim(9.1,10.76)\n", "plt.title(\"Normal vs. Normal\")\n", "\n", "#The arrow of max difference\n", "plt.arrow(center[index], n1[index], 0, maxn, length_includes_head=True, color='black')\n", "plt.arrow(center[index], n2[index], 0, -maxn, length_includes_head=True, color='black')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.13 Right\n", "#### Normal vs. Uniform distribution and their maximum difference." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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T8OST/htu0wb23z/siERCp4SeZoqKYMuWfffv2OF7tWTETIll2bp1b4l8/Xp4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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(3)\n", "s = np.random.normal(10, 0.2,100)\n", "s2 = np.random.uniform(9.41, 10.43, 100)\n", "\n", "nX, mX = findMinMaxX(s, s2)\n", "newS = np.append(s, [nX])\n", "newS2 = np.append(s2, [mX])\n", "\n", "nbins = 10000\n", "n1, bins1, patches1 = plt.hist(newS, nbins, normed=True, cumulative=True, histtype='step', color='red', linewidth='1.1')\n", "n2, bins2, patches2 = plt.hist(newS2, nbins, normed=True, cumulative=True, histtype='step', color='blue', linewidth='1.1')\n", "center = (bins1[:-1] + bins1[1:]) / 2\n", "\n", "maxn, index = maxDifference(n1, n2, nbins)\n", "\n", "# The x and y axis range and the title\n", "plt.ylim(0,1)\n", "plt.xlim(nX,mX-0.01)\n", "plt.title(\"Normal vs. Uniform\")\n", "\n", "# The arrow of max difference\n", "plt.arrow(center[index],n1[index], 0, maxn, length_includes_head=True, color='black')\n", "plt.arrow(center[index],n2[index], 0, -maxn, length_includes_head=True, color='black')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.14" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "(-10, 220)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,4))\n", "\n", "# Generating points for the blue line.\n", "random.seed(13)\n", "x = np.linspace(0,30,100)\n", "prev = -10\n", "y = []\n", "for i in x:\n", " j = i*i/4.4 + 10*random.uniform(0,1) -15\n", " while j < prev: #for monotonically increasing.\n", " j = i*i/4.4 + 10*random.uniform(0,1) -15\n", " y.append(j)\n", " prev = j\n", "\n", "alpha = 150\n", "m = 30\n", "\n", "#Finding the index of the intersecting point of black and blue lines.\n", "z = 0\n", "for i in range(0,len(x)):\n", " if abs(y[i] - alpha/float(m) * x[i]) < 1:\n", " z = i\n", " \n", "# The blue line\n", "plt.plot(x,y, 'b-')\n", "# y = a\n", "plt.plot(x,len(x)*[alpha], 'r-')\n", "# y = a/m\n", "plt.plot(x,len(x)*[alpha/float(m)], 'r-')\n", "# The black line. y = (a/m)*x\n", "plt.plot(x, (alpha/float(m)) * x, 'k-')\n", "#The intersection.\n", "plt.plot([x[z], x[z]], [y[z], -20], 'k--')\n", "\n", "plt.text(-1, alpha, 'a', fontsize=12, verticalalignment='center', horizontalalignment='center')\n", "plt.text(-2, alpha/float(m), \"a/m\", fontsize=12, verticalalignment='center', horizontalalignment='center')\n", "plt.text(m,-25, \"m\", fontsize=12, verticalalignment='center', horizontalalignment='center')\n", "plt.text(x[z],-25, \"i\", fontsize=12, verticalalignment='center', horizontalalignment='center')\n", "\n", "plt.gca().axes.get_xaxis().set_ticks([])\n", "plt.gca().axes.get_yaxis().set_ticks([])\n", "\n", "plt.ylim(-10,220)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For Figure 5.15\n", "#### Data Source: https://www.statcrunch.com/app/index.php?dataid=1406047" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Preparing Data\n", "path = \"/home/yeseul/practice-notebook/weight.xls\"\n", "data = pd.ExcelFile(path).parse('Sheet1')\n", "men = data[(data['Gender'] == 1) & (data['Age'] <=260)]\n", "men = pd.DataFrame(men)\n", "\n", "women = data[(data['Gender'] == 0) & (data['Age'] <=260)]\n", "women = pd.DataFrame(women)\n", "\n", "menh = men['Height'].sort_values(ascending=False)\n", "womenh = women['Height'].sort_values(ascending=False)\n", "\n", "x = []\n", "minh = min(min(menh), min(womenh))\n", "# men is 1, women is 0\n", "for i in menh:\n", " x.append((1, i-minh))\n", "for i in womenh:\n", " x.append((0, i-minh))\n", "x = np.array(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.15 Left - Data shown using colormap" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Color map\n", "cmap=plt.get_cmap('gist_rainbow')\n", "\n", "# Use 0-1 values to generate the colors with the linspace method\n", "line_colors = cmap(np.linspace(0,1,max(x[:,1])+1))\n", "\n", "fig = plt.figure(figsize=(6,12))\n", "gs = gridspec.GridSpec(1, 2, width_ratios=[1, 4]) \n", "\n", "# This is for the left bar.\n", "clst = []\n", "for i in x:\n", " if i[0] == 0:\n", " clst.append('red')\n", " else:\n", " clst.append('blue')\n", " \n", "ax = plt.subplot(gs[0])\n", "plt.barh(range(len(x)), [1]*len(x), color = clst)\n", "ax.set_xticklabels([])\n", "ax.set_yticklabels([])\n", "plt.ylim(0,len(x))\n", "plt.axis('off')\n", "\n", "# This is for the right bar.\n", "ax = plt.subplot(gs[1])\n", "plt.barh(range(len(x)), [i[1] for i in x], color = [line_colors[i] for i in x[:,1]])\n", "ax.set_xlim(0,max([i[1] for i in x]))\n", "plt.ylim(0,len(x))\n", "ax.set_yticklabels([])\n", "plt.axis('off')\n", "\n", "plt.subplots_adjust(wspace = 0, hspace = 0)\n", "plt.subplots_adjust(top=0.91)\n", "plt.suptitle(\"Data\", fontsize=16, fontweight='bold')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For Figure 5.15 Middle, Randomizing function" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def randomize(a):\n", " n = len(a)\n", " for i in range(0, n):\n", " #swap a[i] and a[random[i,n]]\n", " midval = a[i]\n", " k = np.random.randint(i, n, size = 1) # returns a list\n", " a[i] = a[k[0]]\n", " a[k] = midval" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.15 Middle - Shuffled Data" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RgCDNKS2PNr4jrdHXnyjPFzwJAPQdQZqTSar3t/j6b2G6CxgCeroAEIiiCwCBCNKc0kS5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\nIM3NVB9pew3NsCs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,12))\n", "gs = gridspec.GridSpec(1, 2, width_ratios=[1, 4]) \n", "\n", "#randomize second colulmn.\n", "randomize(x[:,1])\n", "\n", "clst = []\n", "for i in x[:,0]:\n", " if i == 0:\n", " clst.append('red')\n", " else:\n", " clst.append('blue')\n", " \n", "ax = plt.subplot(gs[0])\n", "plt.barh(range(len(x)), [1]*len(x), color = clst)\n", "ax.set_xticklabels([])\n", "ax.set_yticklabels([])\n", "plt.ylim(0,len(x))\n", "plt.axis('off')\n", "\n", "ax = plt.subplot(gs[1])\n", "plt.barh(range(len(x)), x[:,1], color = [line_colors[i] for i in x[:,1]])\n", "ax.set_xlim(0,max(x[:,1]))\n", "ax.set_yticklabels([])\n", "plt.ylim(0,len(x))\n", "plt.axis('off')\n", "\n", "plt.subplots_adjust(wspace = 0, hspace = 0, top=0.91)\n", "plt.suptitle(\"Shuffled Data\", fontsize=16, fontweight=\"bold\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.15 Right - Ordered Shuffles" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KKboAhQRprbqDPiZn5oIn6g764fqpgI1mB2MPYHtcjYizsQfBppmcPTDNPlbQ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\nAIUUXYBC/x9bDmPf74qnpgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#sort by 1st column\n", "a = x[x[:,1].argsort()]\n", "\n", "#sort by 0th column\n", "a = a[a[:,0].argsort(kind='mergesort')]\n", "\n", "#reverse\n", "k = a[::-1]\n", "\n", "#sort the second column within each gender.\n", "plt.figure(figsize=(6,12))\n", "gs = gridspec.GridSpec(1, 2, width_ratios=[1, 4]) \n", "\n", "ax = plt.subplot(gs[0])\n", "plt.barh(range(len(k)), [1]*len(k), color = clst)\n", "ax.set_xticklabels([])\n", "ax.set_yticklabels([])\n", "plt.ylim(0,len(k))\n", "plt.axis('off')\n", "\n", "ax = plt.subplot(gs[1])\n", "plt.barh(range(len(k)), k[:,1], color = [line_colors[i] for i in k[:,1]])\n", "ax.set_xlim(0,max(k[:,1]))\n", "ax.set_yticklabels([])\n", "plt.ylim(0,len(k))\n", "plt.axis('off')\n", "\n", "plt.subplots_adjust(wspace = 0, hspace = 0, top=0.91)\n", "plt.suptitle('Ordered Shuffles', fontsize=16, fontweight='bold')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.16 Left" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vNR/NseIFa/8ebF/Xd2a8YRC2O1TClDme/AY3vONssTr5Fm/fHqeNfY86r4/UwXq0zt5N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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(5)\n", "x = np.random.normal(10, 0.2, 1000)\n", "nbins = 100\n", "n, bins, patches = plt.hist(x, nbins)\n", "plt.vlines(10.76, 0, 40, color='red') #about 105th" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.16 Right" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(5)\n", "x = np.random.normal(10, 0.2, 1000)\n", "nbins = 100\n", "n, bins, patches = plt.hist(x, nbins)\n", "plt.vlines(9.81,0,40, color='red') #about 43rd percentitle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For Figurge 5.17, I made two random generators." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Random Permutation Generator v. 1\n", "def random1():\n", " a = [1,2,3,4]\n", " n = 4\n", " for i in range(0, n):\n", " #swap a[i] and a[random[i,n]]\n", " midval = a[i]\n", " k = np.random.randint(i, n)\n", " a[i] = a[k]\n", " a[k] = midval\n", " return a\n", "\n", "# Random Permutation Generator v. 2\n", "def random2():\n", " a = [1,2,3,4]\n", " n = 4\n", " for i in range(0, n-1):\n", " #swap a[i] and a[random[0,n]]\n", " midval = a[i]\n", " k = np.random.randint(0, n)\n", " a[i] = a[k]\n", " a[k] = midval\n", " return a " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For Figure 5.17, generating points" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from collections import Counter\n", "\n", "np.random.seed(5)\n", "\n", "# Get 1,000,000 random points from both algorithms.\n", "x1 = []\n", "n = 1000000\n", "for i in range(0,n):\n", " t = int(''.join(map(str, random1())))\n", " x1.append(t)\n", " \n", "x2 = []\n", "for i in range(0,n):\n", " t = int(''.join(map(str, random2())))\n", " x2.append(t) \n", "\n", "freq1 = Counter(x1)\n", "freq2 = Counter(x2)\n", "\n", "# Sort the permutations by the frequency of algo2.\n", "freq2_sorted_by_val = sorted(((v,k) for k,v in freq2.iteritems()), reverse=True)\n", "perm_sorted = [k for v,k in freq2_sorted_by_val]\n", "\n", "# Freq for each algorithm by the sorted permutations.\n", "count = [freq1.get(i) for i in perm_sorted]\n", "count2 = [freq2.get(i) for i in perm_sorted]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure 5.17" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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t4Mor6zWgSMhYzWdMdeYz8XSRaoPR0HhSvwSeF5FS4EPXdgYwAbisCT4UeFNE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\nFsAtt0B5udMJbQvH6qSwJGUYRhLh9VK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3PtnMTq3gziQZFmwDvgYsI5msrgeWW3Y9MiiZ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\nGKQCgUAgMLL4H8JMohkJDbkhAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6,4))\n", "\n", "x = range(24)\n", "plt.plot(x, count, 'b-', label='Algorithm 1')\n", "plt.plot(x, count, 'bo')\n", "plt.plot(x, count2, 'r-', label='Algorithm 2')\n", "plt.plot(x, count2, 'ro')\n", "\n", "plt.xticks(range(24), map(str,list(perm_sorted)), rotation=90)\n", "plt.xlim(-1,24)\n", "plt.ylim(0,90000)\n", "plt.legend(loc='upper right')\n", "plt.ylabel('Frequency Count')\n", "plt.xlabel('Permutation')\n", "\n", "plt.grid()\n", "plt.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }