{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using `scipy` statistics" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import scipy.stats as stats\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "np.set_printoptions(precision=3)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "plt.style.use('seaborn-notebook')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Random number generators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create a distribution object" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "d = stats.norm()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 1.0, 1.0)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.mean(), d.std(), d.var()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Get random variables\n", "\n", "Compare with `rnorm` in R" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1.07 , -0.339, -0.282, 0.743, 0.14 , 0.551, -1.779, -0.496,\n", " 1.339, -2.516])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.rvs(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Get PDF\n", "\n", "Compare with `dnorm` in R" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = np.linspace(-3,3,100)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "y = d.pdf(x)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfEAAAFRCAYAAABkLpSTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIhHq/wP884++cJGzjQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get CDF\n", "\n", "Compare with `pnrom` in R" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y = d.cdf(x)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFRCAYAAAC7YO6MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl4VPW9x/H3NzOZhCwQQgISCDso+yKKtVZrKy3YKmrd\nra2tttpq7dXeulSr1Grdql2sXru41Lpd6ooV6n611YrsO0R2EiCQkITsk5n53T+SIlCRCJOcMzOf\n1/PMM9th8uE8mfnknDm/8zPnHCIiIuJPaV4HEBERkf1TUYuIiPiYilpERMTHVNQiIiI+pqIWERHx\nMRW1iIiIj6moRUREfExFLSIi4mMqahERER8Leh3g3woKCtyAAQO8jiEiItIp5s+fX+GcKzzQcr4p\n6gEDBjBv3jyvY4iIiHQKM9vYnuW061tERMTHVNQiIiI+pqIWERHxMRW1iIiIj6moRUREfExFLSIi\n4mMqahERER9TUYuIiPjYAYvazB42s+1mtmw/z5uZ/dbM1pjZEjObEP+YIiIiqak9W9SPAlM+4fmp\nwNC2y3eB/zn0WCIiIgLtKGrn3DvAzk9YZBrwmGv1PpBnZr3jFVBERCSVxeNc332AzXvcL217bGsc\nXltEROQ/xGKO+nCEuuYIdU2t1w3haNul9XZjOEpjS5SmltbbzZEYTS0fXYejMcKRtkvb7UjM0RKN\n0RKJEY46IrEYkWjrYxcdO4DrTx7e6f9XTyflMLPpwM0AvXtrI1xEJBXVN0eoqGumoi7MzvowlXXN\n7GwIU93QQlV9mKqGFnY1tbCrsYXapkjrdXMkbj8/zSAUTCMUSCMUTCM9kEYwYHRNDxAMGMG0NNID\nRmFuRtx+5qcRj6IuA4r3uN+37bEDcs5NB6YDTJw40cUhi4iI+IRzjuqGFjZXNbCluomtNY1srWli\na00T5bua2FHbTPmuJhrC0Xa9Xm5mkG5d0inOzyInM0huRpCczCA5GUGyM4JkhQJkh4JkZQTokh4g\nKxQgM731dubuSxoZwQAZwTQy0lvLORjw9wCoeBT1TOAKM3samATUOOe021tEJAU459hR18z6HfWs\nr/josmlnA6VVjdTtZ8vXDHpkZzCgRzY9u2ZQkJNBj5wQBdkZ5GeHyM8OkZeVTves1uvczHQCadbJ\n/zt/OGBRm9lTwOeBAjMrpXVXdTqAc+5BYBZwMrAGaAC+1VFhRUTEO7VNLazcWsvKrbsoKa9tu9RR\n09jyH8tmhQIUd8+iOL8Lfbtn0SevC73zMinK60LvbpkU5mT4fkvWLw5Y1M658w7wvAMuj1siERHx\nXEM4wtLSGhZtrmZJWQ3Ly2rYUNmw1zJpBgN6ZDNpYD6DCnMYVJDNoMJsBhRk0yM7hFlqbgHHm6cH\nk4mIiD9sr23ig/U7mbNuJ/M3VrG6vJZo7KNDh7p1SefYwT0YWdSVEUVdGdYrl8GFOWSmBzxMnRpU\n1CIiKWhXUwvvrangnQ8reH9tJesq6nc/FwqmMa44j/HFeYzrl8fYvnn07d5FW8geUVGLiKQA5xwr\nt9by+spy3i7ZwaLN1bu3mLNDAU4YVsikQflMGpjP6D55hIL6/tgvVNQiIkkqGnPMWV/Jq8vLeW1F\nOWXVjUDrd8vjivP43NBCjh9WyNi+3XRgl4+pqEVEkkgs5liwqYqXFm/h5aXbqKhrBiA3I8gpY4uY\nPKIXJwwtpFtWusdJpb1U1CIiSWBDRT3PzC/l+YVlu7ec87NDnD+pHyeP6s3RA/O1OztBqahFRBJU\nYzjKy0u3MmPeZj5Y3zp3Uk5GkDOP7MspY4s4dnAP0rVLO+GpqEVEEsymygYen7OR/527effJRo4d\n3IOzJvZlysjedAlpyFQyUVGLiCQA5xz/WlfJQ/9Yz5urt+Mc9MgOcfmJgzn3qH4U52d5HVE6iIpa\nRMTHojHHq8u38eDba1lcWgPA+H55fPMzA5g6+jAygtp6TnYqahERH4pEYzy/sIwH/m8t6yvqMYMp\nIw/j0hMGMb5fd6/jSSdSUYuI+Eg05nhp8RZ+88aHrK+oJxRI49yjivnO8YMYXJjjdTzxgIpaRMQH\nnHO8snwbv3y1hDXb60gPGBdM6scVXxhC725dvI4nHlJRi4h4bPHmam59eQVzN1QRSDPOmVjMFV8Y\nogPEBFBRi4h4pqy6kbv+vooXF20BYPKIXlw/9QgGaRe37EFFLSLSycKRGH/65zp++8aHNLXEGN2n\nGzd8ZTjHDOrhdTTxIRW1iEgnem9NBT99cRlrd9RTkBPi1tOGc8b4PqSlaQpJ+XgqahGRTlBVH+aW\nv63g+YVlmME3PtOfH33pcLp10eQY8slU1CIiHWz20q389MVlVNSFGdO3G7edNprRfbt5HUsShIpa\nRKSDVNQ1c/OLy3l56VZCwTSun3oEFx83UHM/y6eiohYR6QBvrirnx39dQmV9mCP7d+euM8fohCVy\nUFTUIiJx1NQS5RezVvLYvzYSCqRx41eG863PDiSgg8XkIKmoRUTiZNW2XVz51EJKyusY2jOH3543\nnuG9u3odSxKcilpEJA7+d+4mfvricsKRGN/4TH9+cvJwMtM1s5UcOhW1iMghaGqJctOLy5gxr5Ru\nXdJ54PwJnDSil9exJImoqEVEDtLGynq+9/gCVmzdxeg+3Xjgggk6P7fEnYpaROQgvF2ygyueXEBt\nU4TzJ/Xjpq+O0K5u6RAqahGRT8E5x8PvbuC2l1cQDKTxy7PGcuaRfb2OJUlMRS0i0k7hSIybXlzG\n03M3U5ibwR8uPJLx/bp7HUuSnIpaRKQdqurDXPqX+XywYScji7ryx29MpCivi9exJAWoqEVEDmDz\nzga++fAHrKuo5+TRh/HLs8aSFdLHp3QO/aaJiHyCZWU1XPTIXCrqmrn0+EFcO+UITUkpnUpFLSKy\nH2+X7OD7j8+noSXK9FNGcNFnB3odSVKQilpE5GO8sLCM//7rYtLSjAfOn8DU0b29jiQpSkUtIrKP\nJ+Zs5MYXlpGbEeShi47iqAH5XkeSFKaiFhHZw+/fXsvts1fRIzvEYxcfzciibl5HkhSnohYRofVE\nJve+VsJ9b66hd7dMHr9kkuaPFl9QUYtIynPOcfvsVfzhnXX075HF4xdP0jm7xTdU1CKS0vYs6cGF\n2Tz1nWPo2TXT61giu6moRSRlOee4Y8+S/u4x9MxVSYu/pHkdQETEC8457vj7Kn7/zjoG/XtLWiUt\nPqSiFpGUdM+rJfz+7XUMKsjmae3uFh9TUYtIynnw7bX87q01DOiR1bq7WyUtPqaiFpGU8sScjdwx\ne9XuIVi9VNLicypqEUkZLy4q48YXltEjO8Tjl0yib3cNwRL/a1dRm9kUM1ttZmvM7LqPeb6fmb1l\nZgvNbImZnRz/qCIiB++NleVcPWMxORlB/vzto3UyE0kYByxqMwsA9wNTgRHAeWY2Yp/FbgRmOOfG\nA+cCD8Q7qIjIwVqwqYrLn1xAesB45KKjGNVHpwWVxNGeLeqjgTXOuXXOuTDwNDBtn2Uc0LXtdjdg\nS/wiiogcvLU76rj40bm0RB0PXDCBiZpgQxJMe0540gfYvMf9UmDSPstMB141sx8A2cBJcUknInII\nttc28c2HP6CqoYU7vzaaLxzRy+tIIp9avA4mOw941DnXFzgZ+IuZtWe3+nQzc2bmtmzRRriIxE9d\nc4RvPTKX0qpGrjppGOcc1c/rSCIHpT1FXQYU73G/b9tje7oYmAHgnPsXkAkUHOiFnXPTnXPmnLOi\noqL2JRYROYBINMb3n1jA8i27OO/oYq784hCvI4kctPYU9VxgqJkNNLMQrQeLzdxnmU3AFwHMbDit\nRb0jnkFFRNrDOcf0l5bzTskOTjy8kJ9PG4WZeR1L5KAdsKidcxHgCuAVYCWtR3cvN7NbzOzUtsV+\nBHzHzBYDTwEXOedcR4UWEdmfR97dwOPvb+KIw3K57/wJBAM6XYQktnbNnuWcmwXM2uexm/a4vQL4\nbHyjiYh8Om+uKufWl1dQmJvBwxcdRU6GJgiUxKc/NUUkKazcuosfPLmQUDCNP31jIkV5XbyOJBIX\n+nNTRBJeRV0zl/x5HvXhKA9cMIGxxXleRxKJG21Ri0hCC0difP/xBZRVN/KjycM4eXRvryOJxJWK\nWkQS2i1/W84HG3Zy8ujDuOILGoYlyUdFLSIJ68k5m3Yf4X33mWM1DEuSkopaRBLSvA07uXnmMrpn\npfPHb0wkW0d4S5JSUYtIwinf1cRljy8g5uD+8ydQnK95pSV5qahFJKG0RGNc/sQCKuqauX7qERw7\n5IBnKxZJaCpqEUkov5i1knkbq/jqmN5cfNxAr+OIdDgVtYgkjJcWb+GRdzcwpGcOd35tjA4ek5Sg\nohaRhPBheS3XPruE7FCAB79+pA4ek5Sh33QR8b365giXPT6fhrYzjw3pmeN1JJFOoy1qEfE15xw3\nvrCMtTvqufi4gTrzmKQcFbWI+NqMeZt5fmEZ44rzuG7qEV7HEel0KmoR8a1V23Zx04vL6ZoZ5L7z\nxpOuuaUlBek7ahHxpfrmCJc/sYDmSIz7zhuvk5pIytKfpyLiSz99sfV76W9/diBfGnmY13FEPKOi\nFhHfeW5BKc8tKGNs3276XlpSnopaRHxlQ0U9P31hGTkZQe47bwKhoD6mJLXpO2oR8Y2WaIwfPr2Q\n+nCU35w7jn499L20iP5UFRHfuPe1EhaX1nDG+D5MG9fH6zgivqCiFhFfeG9NBQ++vZb+PbK45bRR\nXscR8Q0VtYh4rqo+zFUzFhEw47fnjidH5/EW2U1FLSKecs5x/XNLKd/VzNVfGsbY4jyvI4n4iopa\nRDz1zPxS/r58G0cPzOfS4wd7HUfEd1TUIuKZTZUNTJ+5nNyMIPeePZZAmuaXFtmXvggSEU9EY46r\nZyyiPhzl3rPH0re7hmKJfBxtUYuIJx58ey3zNlbxldG9OX28hmKJ7I+KWkQ63bKyGn71Wgm9umZw\n2+mjMNMub5H9UVGLSKdqaoly9YxFRGKOX541lryskNeRRHxNRS0inepXr5dQUl7Hhcf053NDC72O\nI+J7KmoR6TTzN+7kD++so3+PLK4/WbNiibSHilpEOkVDOMKPZiwG4J6zxpIV0qATkfZQUYtIp7hj\n9io2VDbw3c8NYuKAfK/jiCQMFbWIdLh311Tw2L82MqxXDldNHuZ1HJGEoqIWkQ5V1xzhmmeWEEgz\n7jlrHJnpAa8jiSQUFbWIdKjbZ62krLqR739+MKP7dvM6jkjCUVGLSId5d00FT8zZxOG9crniC0O8\njiOSkFTUItIh9tzlffdZY8gIape3yMFQUYtIh7hz9irKqhu57IRBjOmrOaZFDpaKWkTi7r21Ffzl\n/dajvK/84lCv44gkNBW1iMRVQzjCtc8uIc3g7jPHape3yCFSUYtIXN3zagmbdzbyneMHMbZYu7xF\nDpWKWkTiZsGmKh5+dz0DC7K56iSd2EQkHlTUIhIXzZEo1zyzBOfgjjNG68QmInGiohaRuPjdm2tY\ns711+spJg3p4HUckabSrqM1sipmtNrM1ZnbdfpY528xWmNlyM3syvjFFxM9WbNnF//zfWoq6ZXLt\nVE1fKRJPB5xnzswCwP3AZKAUmGtmM51zK/ZYZihwPfBZ51yVmfXsqMAi4i+RaIxrn11CJOa47YzR\n5GRo+kqReGrPFvXRwBrn3DrnXBh4Gpi2zzLfAe53zlUBOOe2xzemiPjVI+9uYGlZDWeM78OJh+tv\ndJF4a09R9wE273G/tO2xPQ0DhpnZu2b2vplNiVdAEfGvTZUN3PPaavKzQ9z41RFexxFJSvE6mCwI\nDAU+D5wH/NHMDjiA0symm5kzM7dly5Y4RRGRzuCc4yfPL6WpJcbNp4wgPzvkdSSRpNSeoi4Dive4\n37ftsT2VAjOdcy3OufVACa3F/Ymcc9Odc+acs6KiovZmFhEfeHZBGf9cU8GJhxdy6li9f0U6SnuK\nei4w1MwGmlkIOBeYuc8yL9C6NY2ZFdC6K3xdHHOKiI/sqG3m539bQVYowK2nj8bMvI4kkrQOWNTO\nuQhwBfAKsBKY4Zxbbma3mNmpbYu9AlSa2QrgLeDHzrnKjgotIt665W8rqGls4ZovH06fvC5exxFJ\nau0aR+GcmwXM2uexm/a47YCr2y4iksTeWrWdlxZvYVxxHhd+ZoDXcUSSns5MJiLtVt8c4cYXlhFM\nM+742mgCadrlLdLRVNQi0m6/eq2EsupGLj1hEEcc1tXrOCIpQUUtIu2yrKyGh99dz4AeWfzgCwcc\n1CEicaKiFpEDikRjXPfcEmIObjtdM2OJdCYVtYgc0KPvbWBZ2S6+NqEvnx1S4HUckZSiohaRT1Ra\n1cA9r5aQnx3ihq8M9zqOSMpRUYvIfjnnuOnF5TS2RLnxK8N1mlARD6ioRWS/Zi/bxpurtvPZIT04\nffy+c/GISGdQUYvIx9rV1ML0mcsJBdO49TSdJlTEKypqEflYd/99Ndtrm/nBiUMYWJDtdRyRlKWi\nFpH/sGBTFY/P2ciQnjlcesJgr+OIpDQVtYjspSUa4yfPLcU5uP2M0YSC+pgQ8ZLegSKyl4f/uZ5V\n22o596hijhqQ73UckZSnohaR3TbvbOBXr5fQIzvEdVOP8DqOiKCiFpE2rWOml9HUEuOnXx1BXpbG\nTIv4gYpaRIDWMdNvrd7BcUMKmDauyOs4ItJGRS0i+4yZHqUx0yI+oqIWEe555aMx0wM0ZlrEV1TU\nIilu0eZqHnt/I4MLs/nuCYO8jiMi+1BRi6SwyB5jpm87fTQZQc0zLeI3KmqRFPboextYsXUXZx3Z\nl2MG9fA6joh8DBW1SIoqq27k3tdK6J6VzvUna55pEb9SUYukqOkzl9MQjvKTkzXPtIifqahFUtCr\ny7fx2opyJg3M58wj+3odR0Q+gYpaJMXUN0eYPnM56QHjttM1z7SI36moRVLMva+VsKWmictOGMyQ\nnjlexxGRA1BRi6SQZWU1PPLuegb0yOLyE4d4HUdE2kFFLZIiojHHT55fSszBraeNJjNdY6ZFEoGK\nWiRF/OVfG1hSWsPp4/tw3NACr+OISDupqEVSwLaaJn75agnduqRzw1c0ZlokkaioRVLAz15aTl1z\nhOunHkFBTobXcUTkU1BRiyS5N1aWM3vZNib2787ZE4u9jiMin5KKWiSJ1TdHuOnF1jHTvzhjNGlp\nGjMtkmhU1CJJ7FevlVBW3cilxw9mWK9cr+OIyEFQUYskqWVlNTzcNmb6ii9ozLRIolJRiyQhjZkW\nSR4qapEk9Ni/NGZaJFmoqEWSzNaaRn75ymrystK5UWOmRRKeilokiTjn+OkLy6kPR/nJ1OH00Jhp\nkYSnohZJIq8s38brK8s5ZlA+Z03UPNMiyUBFLZIkdjW1cNOLywkF0/iF5pkWSRoqapEkcdffV7G9\ntpkfnDiEQYWaZ1okWaioRZLA/I07efz9TQztmcOlJwz2Oo6IxJGKWiTBhSMxrn9uKQB3fG00oaDe\n1iLJRO9okQT3+7fXUlJex9eP6ceR/fO9jiMicdauojazKWa22szWmNl1n7Dc18zMmdnE+EUUkf1Z\ns72O+95cQ8/cDK6ZcoTXcUSkAxywqM0sANwPTAVGAOeZ2YiPWS4X+CEwJ94hReQ/xWKO659bQjga\n4+enjaJrZrrXkUSkA7Rni/poYI1zbp1zLgw8DUz7mOV+DtwJNMUxn4jsx5MfbGLuhiqmjjqML488\nzOs4ItJB2lPUfYDNe9wvbXtsNzObABQ7516OYzYR2Y9tNU3cMXsVuZlBfnbqSK/jiEgHOuSDycws\nDbgX+NFB/Nvpbd9puy1bthxqFJGU4JzjxheWUdcc4YaTh9Oza6bXkUSkA7WnqMuA4j3u92177N9y\ngVHA/5nZBuAYYGZ7Dihzzk13zplzzoqKitqfWiSFzV720WlCzzmq+MD/QEQSWnuKei4w1MwGmlkI\nOBeY+e8nnXM1zrkC59wA59wA4H3gVOfcvA5JLJLCqurD3PTiMjKCadx+xhidJlQkBRywqJ1zEeAK\n4BVgJTDDObfczG4xs1M7OqCIfOTnf1tBRV2YqyYPY2BBttdxRKQTBNuzkHNuFjBrn8du2s+ynz/0\nWCKyr7dWb+e5hWWM7tONS44b6HUcEekkOjOZSAKobWrhhueWEkwz7jpzDMGA3roiqULvdpEEcOff\nV7GlponvnziE4b27eh1HRDqRilrE5+asq9w9M9blJ2pmLJFUo6IW8bHGcJRrnl1CmsFdZ44hIxjw\nOpKIdDIVtYiP3f3KajZWNnDJ5wYxvl93r+OIiAdU1CI+NXfDTh55bz2DCrO5evIwr+OIiEdU1CI+\n1BiOcs0zSwC4+8yxZKZrl7dIqlJRi/jQPa+uZn1FPZccN5Aj+2uXt0gqU1GL+My8DTt56N31DCrI\n5kdfOtzrOCLiMRW1iI80hCP8uG2X911njtEubxFRUYv4yV1//2iX98QB+V7HEREfUFGL+MR7ayp4\n9L0NDOmZo13eIrKbilrEB3Y1tfDjZ5YQSDPuPVtHeYvIR1TUIj5w699WUFbdyOUnDmFM3zyv44iI\nj6ioRTz2xspyZswrZWRRV644cYjXcUTEZ1TUIh6qrGvm2meXEgqkce/Z4wgF9ZYUkb3pU0HEI845\nrn9uKRV1zfz3l4dx+GG5XkcSER9SUYt45K/zSnl1RTnHDMrnkuMGeR1HRHxKRS3igU2VDfzspeXk\nZga55+xxpKWZ15FExKeCXgcQSTWRaIyrZiyiPhzl1+eMo09eF68jiYiPaYtapJM9+PZa5m+s4qtj\nejNtXJHXcUTE51TUIp1o4aYqfvX6hxzWNZPbThuNmXZ5i8gnU1GLdJLaphZ++PQiYs5x7zlj6ZaV\n7nUkEUkAKmqRTnLTi8vZtLOB750wmGMHF3gdR0QShIpapBM8v7CU5xeWMa44j6smD/M6jogkEBW1\nSAfbWFnPjc8vIycjyG/PHU96QG87EWk/Dc8S6UDhSIwrn/5oKFa/HlleRxKRBKM/7UU60N2vrGLx\n5mrOGN+H08b38TqOiCQgFbVIB3l9RTl//Md6BhVm8/PTRnkdR0QSlIpapAOUVTfyo78uJiOYxv3n\nTyA7Q98yicjB0aeHSJy1RGP84MkF1DS2cPsZoxneu6vXkUQkgWmLWiTOfvnKahZsqubUsUWce1Sx\n13FEJMGpqEXi6LUV5fz+nXUMLMjmF2foFKEicuhU1CJxsqGinqtnLCIzPY0HLphAjr6XFpE40CeJ\nSBw0hqNc9vh8apsi3Hv2WH0vLSJxoy1qkUPknOOGF5ayalstF0zqxxkT+nodSUSSiIpa5BA9MWcT\nzy0oY2xxHjedMsLrOCKSZFTUIodgwaYqbnlpBd2z0nnggglkBANeRxKRJKOiFjlI5buauOwv84nE\nYvz2vPH0yevidSQRSUIqapGD0NQS5dK/zGd7bTM/OXk4nxta6HUkEUlSKmqRT8k5x40vLGNR22Qb\nFx830OtIIpLEVNQin9Kj723gmfmljO3bTSc1EZEOp6IW+RT++WEFt768koKcDB688Egy03XwmIh0\nLBW1SDut2V7L956YT8CM3184gd7ddPCYiHQ8nZlMpB0q65r59qPzqG2K8OtzxnFk/3yvI4lIitAW\ntcgBNEdaj/DetLOBK784lNPG9/E6koikkHYVtZlNMbPVZrbGzK77mOevNrMVZrbEzN4ws/7xjyrS\n+ZxzXPfsUuZtrOKUsUVcddJQryOJSIo5YFGbWQC4H5gKjADOM7N9z5O4EJjonBsDPAPcFe+gIl74\n9esf8vzCMsb3y+PuM8foCG8R6XTt2aI+GljjnFvnnAsDTwPT9lzAOfeWc66h7e77gGYlkIT35JxN\n/OaNDynO78IfLpyoI7xFxBPtKeo+wOY97pe2PbY/FwOzDyWUiNdeX1HOjS8sJT87xGPfnkRhbobX\nkUQkRcX1YDIz+zowEbi7nctPNzNnZm7Lli3xjCJy0BZsquKKpxaQEQzw8EVHMbAg2+tIIpLC2lPU\nZUDxHvf7tj22FzM7CbgBONU519yeH+6cm+6cM+ecFRUVteefiHSotTvquPjRubREHfdfMJ5xxXle\nRxKRFNeeop4LDDWzgWYWAs4FZu65gJmNB35Pa0lvj39MkY5XVt3IhX+aQ1VDC784fRRfOKKX15FE\nRA5c1M65CHAF8AqwEpjhnFtuZreY2alti90N5AB/NbNFZjZzPy8n4ks7apv5+p/msKWmiWunHME5\nR/XzOpKICNDOM5M552YBs/Z57KY9bp8U51winaamoYULH5rD+op6vvf5wXzv84O9jiQispvOTCYp\nrb45wrce/YBV22q58Jj+XPPlw72OJCKyFxW1pKzGcJRL/jyPBZuqOX18H3526kid0EREfEdFLSmp\nMRzl24/O5V/rKpky8jDuOnMMaWkqaRHxHxW1pJzGcJSL/9xa0l8e2Yv7zh9PekBvBRHxJ306SUpp\nDEe55LG5vLe2kskjenHfeRNU0iLia5qPWlJGfXOE7zw2b3dJ33/+BEJBlbSI+JuKWlJCTUMLFz36\nAQs3VfOlEb34nUpaRBKEilqSXkVdMxc+9AErt+7itHFF3H3WWO3uFpGEoaKWpLa1ppEL/jSHdTvq\nuWBSP34+bZSO7haRhKKilqT1YXktFz0yl7LqRi49YRDXTTlC46RFJOGoqCUpfbB+J5f8eS67miJc\nM+VwvnfCYJW0iCQkFbUknVlLt/Jf/7uIWMxx79ljOWNCX68jiYgcNBW1JA3nHA+/u4FbX15BdijI\n/3xzAp8bWuh1LBGRQ6KilqQQjsS4eeZynvpgE4W5GTz6raMYWdTN61giIodMRS0Jb2d9mO89Pp85\n63cyondX/vjNifTJ6+J1LBGRuFBRS0IrKa/l4j/PZfPORqaOOox7zh5LVki/1iKSPPSJJgnr5SVb\nueaZxdSHo1z5xaH81xeHaoy0iCQdFbUknJZojNtnreLhd9eTFQrwu/PH89UxRV7HEhHpECpqSSjb\napq4/MkFzN9YxZCeOTz49QkM6ZnrdSwRkQ6jopaE8daq7fz3XxdTWR/mq2N6c+fXxpCdoV9hEUlu\n+pQT32u3aIGXAAAKYUlEQVRqiXLH7FU8+t4GQoE0pp8ygm8eO0BnGhORlKCiFl9bva2WK59ayOry\nWob0zOE3547T+GgRSSkqavGlSDTGQ/9czz2vlRCOxPj6Mf244eQRdAkFvI4mItKpVNTiOyXltfz4\nr4tZXFpDQU6I288Yw+QRvbyOJSLiCRW1+EZLNMYf3lnHb17/kHA0xmnjirj5lJF0zw55HU1ExDMq\navGFOesq+emLyygpr6Nnbga3nT5aW9EiIqioxWM7apu5ffZKnltQhhmcP6kf1375CLplpXsdTUTE\nF1TU4olwJMZf3t/Ib14vYVdThJFFXbn1tFGM79fd62giIr6iopZO5ZzjleXbuGP2KjZUNpCbGeRn\np47k68f0J6DzdIuI/AcVtXSa+RuruHP2Kj7YsJNgmnHRsQO48otDydfBYiIi+6Wilg63aHM1v3qt\nhLdLdgAweUQvrp96BIMKczxOJiLifypq6TBLSqv57Rsf8vrK7QAcO7gHV00exlED8j1OJiKSOFTU\nElfOOf7xYQUPvr2W99ZWAnDUgO5cPflwPjO4h8fpREQSj4pa4qI5EmX20m388R/rWL5lFwDHDSng\nshMG89khPTSBhojIQVJRyyHZWtPIk3M28dQHm6ioC5Nm8JUxvbns+MGM7qvJM0REDpWKWj61SDTG\n2yU7mDFvM6+v3E405ujWJZ3vHj+Ir0/qT78eWV5HFBFJGipqabc122t5Zn4Zzy4oZUdtMwDDe3fl\nm5/pz7RxfTSzlYhIB1BRyyfaVNnAS0u28NLiLazaVgtA18wg3/hMf846sphRfbrq+2cRkQ6kopa9\nOOcoKa/jtRXbeHVFOUtKawBIDxgnDe/FtHFFTB7Ri8x0bT2LiHQGFbXQGI4yZ30lb5fs4I2V29m0\nswGAQJrxuaEFnDK2iC+POEwTZYiIeEBFnYIi0RjLtuzi/XWV/PPDCj7YsJNwJAZATkaQr4zpzZdG\n9OLzw3qqnEVEPKaiTgH1zRGWlNawYFMVc9bvZP6GndSHo7ufH9G7K58bVsDxQwuZOKA7GUHt1hYR\n8QsVdZJpaomyelsty7bUsKyshoWbqikpryXmPlpmcGE2kwb1YNLAfI4dXEBhboZ3gUVE5BOpqBNU\nNOYorWpg9bZaPtxex+pttazeVsuaHXVE92jlzPQ0JvbPZ3y/PMYV5zFxQL6KWUQkgaiofawlGmNL\ndSObdzayuaqBjZUNrNtRx/qKejZWNhCOxvZaPisUYFxxHiOLujKqqBsjirpy+GG5pAfSPPofiIjI\noWpXUZvZFOA3QAD4k3Pujn2ezwAeA44EKoFznHMb4hs1udQ3R9hR28z22mbKdzXtvt5S3cjWmia2\nVjeybVfTXrus/y03I8jw3rkMLMhmaK9cDu+Vy7BeufTt3oW0NI1pFhFJJgcsajMLAPcDk4FSYK6Z\nzXTOrdhjsYuBKufcEDM7F7gTOKcjAvtJLOaoD0eoa45Q1xRhV1MLuxr/fd1CVUML1Q0tVDeEqW5s\nobI+TGVdM5V1YRpbovt93UCacVjXTI7s353i/CyKu2dRnJ9Fv/wsBhVm0yM7pJOMiIikiPZsUR8N\nrHHOrQMws6eBacCeRT0NmN52+xngd2ZmzrmP2R7sWLGYY+2OOlqijkgs1nodjRGJOcLRGC2RttuR\nGOFIjOZo23UkSnNLjKa26+ZIlMZwlMaWKI0tMRrDERrCURrCUeqbW2/XNUc+VbZQMI2C7BCDe2aT\nn51BYU4Gvbpm0DM3g55dM+nVNZOivEx65mYS0JaxiIjQvqLuA2ze434pMGl/yzjnImZWA/QAKuIR\n8tOIOsfkX70T99c1g+xQkKxQgKxQgIKcDHIyg+RmBMluu3Trkk7XLkG6ZqbTtUs63bPS6Z4VoluX\ndLpnh8gOBbQlLCIin4qnB5OZ2XTgZoDevXvH5TWDacb5k/oRCqQRTDOCgTTSA0YwLY30oBEKpJHe\ndgkF08gItl6HgmlkBgNkpH90nRUK0CU9QGZ6gIxgmkpWREQ6XXuKugwo3uN+37bHPm6ZUjMLAt1o\nPajsEznnptO2y3zixIlx2U1uZvzi9NHxeCkRERHPtWfczlxgqJkNNLMQcC4wc59lZgLfbLt9JvCm\nF99Pi4iIJJsDblG3fed8BfAKrcOzHnbOLTezW4B5zrmZwEPAX8xsDbCT1jIXERGRQ9Su76idc7OA\nWfs8dtMet5uAs+IbTURERHTKKhERER9TUYuIiPiYilpERMTHVNQiIiI+pqIWERHxMRW1iIiIj6mo\nRUREfExFLSIi4mPmlzN9mtkOYGMcX7II2BLH10t0Wh8f0brYm9bHR7Qu9qb1sbd4r4/+zrnCAy3k\nm6KOt7bpsDXdVRutj49oXexN6+MjWhd70/rYm1frQ7u+RUREfExFLSIi4mPJXNQ/8zqAz2h9fETr\nYm9aHx/Rutib1sfePFkfSfsdtYiISDJI5i1qERGRhKeiFhER8TEVtYiIiI+pqEVERHxMRS0iIuJj\nSV3UZvZzM1tiZovM7FUzK/I6k1fM7G4zW9W2Pp43szyvM3nJzM4ys+VmFjOziV7n8YKZTTGz1Wa2\nxsyu8zqPl8zsYTPbbmbLvM7iB2ZWbGZvmdmKtvfJD73O5BUzyzSzD8xscdu66PQhWkk9PMvMujrn\ndrXdvhIY4Zy7zONYnjCzLwFvOuciZnYngHPuWo9jecbMhgMx4PfAfzvn5nkcqVOZWQAoASYDpcBc\n4Dzn3ApPg3nEzI4H6oDHnHOjvM7jNTPrDfR2zi0ws1xgPnBaKv5+mJkB2c65OjNLB/4J/NA5935n\nZUjqLep/l3SbbCB5/yo5AOfcq865SNvd94G+XubxmnNupXNutdc5PHQ0sMY5t845FwaeBqZ5nMkz\nzrl3gJ1e5/AL59xW59yCttu1wEqgj7epvOFa1bXdTW+7dGqXJHVRA5jZbWa2GbgAuMnrPD7xbWC2\n1yHEU32AzXvcLyVFP4jlk5nZAGA8MMfbJN4xs4CZLQK2A6855zp1XSR8UZvZ62a27GMu0wCcczc4\n54qBJ4ArvE3bsQ60LtqWuQGI0Lo+klp71oeI7J+Z5QDPAv+1zx7KlOKcizrnxtG6J/JoM+vUr0eC\nnfnDOoJz7qR2LvoEMAu4uQPjeOpA68LMLgK+CnzRJfPBCW0+xe9GKioDive437ftMREA2r6PfRZ4\nwjn3nNd5/MA5V21mbwFTgE478DDht6g/iZkN3ePuNGCVV1m8ZmZTgGuAU51zDV7nEc/NBYaa2UAz\nCwHnAjM9ziQ+0XYA1UPASufcvV7n8ZKZFf57lIyZdaH1AMxO7ZJkP+r7WeBwWo/u3Qhc5pxLya0G\nM1sDZACVbQ+9n6pHwAOY2enAfUAhUA0scs592dtUncvMTgZ+DQSAh51zt3kcyTNm9hTweaAAKAdu\nds495GkoD5nZccA/gKW0fn4C/MQ5N8u7VN4wszHAn2l9n6QBM5xzt3RqhmQuahERkUSX1Lu+RURE\nEp2KWkRExMdU1CIiIj6mohYREfExFbWIiIiPqahFRER8TEUtIiLiYypqERERH/t/dJFM6nDnF4gA\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get percentiles \n", "\n", "Compare with `qnorm` in R. This is the inverse CDF function." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "xp = d.ppf(y)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFRCAYAAAC7YO6MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(xp, y)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**1**. Assume IQ has a normal distribution. Suppose the average IQ of a Duke student is 130, with a standard deviation of 13. \n", "\n", "- Make a plot of the distribution of IQs between 70 and 190." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "d = stats.norm(loc=130, scale=13)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "iqs = np.linspace(70, 190, 100)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAFRCAYAAABpMOTUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(iqs, d.pdf(iqs))\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What IQ do you need to be in the top 10 percentile?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "146.6601703520798" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.ppf(0.9)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAFRCAYAAABpMOTUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\negAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp = np.linspace(d.ppf(0.9), 190, 100)\n", "y1 = np.zeros_like(xp)\n", "y2 = d.pdf(xp)\n", "plt.plot(iqs, d.pdf(iqs))\n", "plt.fill_between(xp, y1, y2, color='red', alpha=0.5)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What fraction of Duke students have IQs between 100 and 130?" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.48949187188624066" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.cdf(130) - d.cdf(100)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAFRCAYAAABpMOTUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\no3AXERHJMgp3ERGRLKNwFxERyTL/H2dQIRvgjdPuAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp = np.linspace(100, 130, 100)\n", "y1 = np.zeros_like(xp)\n", "y2 = d.pdf(xp)\n", "plt.plot(iqs, d.pdf(iqs))\n", "plt.fill_between(xp, y1, y2, color='red', alpha=0.5)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What percentile would you be if your IQ was 150?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.93803209716362879" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d.cdf(150)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFRCAYAAAC7YO6MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl8VPW9//HXZ2ayEQgBApEsEFYFVEAQUFtXVLSt2Fbr\nVq3LbW8X21ptb+vt/Vna2/bW7r232sVWrWi1WFvFStXa4s4usi8GAmQRAglLyDaZme/vjxkwRCAB\nJjmzvJ+PRx6Zs2TyznnMzDvnzJnvMeccIiIikph8XgcQERGRI1NRi4iIJDAVtYiISAJTUYuIiCQw\nFbWIiEgCU1GLiIgkMBW1iIhIAlNRi4iIJDAVtYiISAILeB3ggIKCAldWVuZ1DBERkR6xbNmyXc65\ngZ2tlzBFXVZWxtKlS72OISIi0iPMbGtX1tOhbxERkQSmohYREUlgKmoREZEEpqIWERFJYCpqERGR\nBKaiFhERSWAqahERkQSmohYREUlgnRa1mT1oZrVmtvoIy83M/tfMys1spZmdEf+YIiIi6akre9QP\nAzOOsvwyYFTs6zPAr048loiIiEAXito59ypQf5RVZgKPuKiFQL6ZDY5XQBERkXQWj7G+i4HKdtNV\nsXnvxuG+RUTkOARDEfa1tLGvuY39rSEaW8M0toZoDIZoDoZpbgvT0hahuS1MayhMa1uEYDhCMBT9\nCkUiBEOOUCRCKNz+uyMc+4q42G3ncI6D0wduH/gecQDt5gPORXO62HR0gtgyd8jfcmCqw+wO6xxl\nYSc/21U3n13G3ZePOfE7OkaeXpTDzGYB3wIYPFg74SIiR9PSFqZ6TzM79rXEvlrZsa+Fuv1B6huD\n1DUG2d0YZG9zG81t4bj/fp9BwOfD7zP8PotO+334DHxmsS8wMwJ+OzjPAGLrGGAGhmH23n1bbOLg\ncjv0d8fu5X3zD12nE0f74S4Y2CfrhH7+eMWjqKuB0nbTJbF5nXLOzQJmAUyePDkO/++IiCS3UDjC\n1vom3tmxn/LaBjbvbGRbfRPb6puobWg96s/2zgrQLzeDkYN6k5cToG9OBnnZGfTOCtArK0DvLD85\nmQFyM/3kZPjJzvCTleGLfg/4yAr4yPT7yQgYmX4fAb+PTH+0mAM+w+c7saKT4xOPop4L3G5mTwBT\ngb3OOR32FhHpRDAUYcP2BlZW72FV1V5WVe9l444G2sKH7rf4DIryczh7xABK+uVwUt8cCvOyOCkv\nm0F9shnQO5P+uZlkZ/g9+kukO3Va1Gb2OHA+UGBmVUQPVWcAOOd+DcwDLgfKgSbglu4KKyKSzFpD\nYVZU7mXR5joWVdSzbOvuQw5RZwV8jB2cx6jCPowa1JtRhb0ZMbA3Rfk5ZPg17EW66rSonXPXdbLc\nAV+IWyIRkRRSt7+V+Rt28tLaHbz2zk4ag+8V88mFfZhc1o/TS/pyWnE+owp7q5DlfTw9mUxEJBXt\nbWrjuVXv8vTb1SzZUn/wjOOyAb24+uRBTBvenynDBtA/N9PboJIUVNQiInEQjjjmr6/lqbeq+Oe6\nWoLhCGYweWg/po8p5KIxhYwYmHvw7GaRrlJRi4icgH0tbcxZUskfFmyhsr4ZgFGDevPRM4q5ckIx\nRfk53gaUpKeiFhE5Dtv3tvDrVzYxZ2klTcEwWQEf100p5YapQxlXlKc9Z4kbFbWIyDHY2dDK/S+X\n89iibQRDEQb3zeaLF47i2jNL6af3nKUbqKhFRLpgX0sb98/fxB/e3EJzW5ji/By+PH0UH51YrDO1\npVupqEVEjsI5xzNv1/C9eevY2dBKYV4W//mhMVwzuZTMgApaup+KWkTkCDbuaOD/Pb2aRRX1ZAV8\n3HXxaD597nCNACY9SkUtItJBKBzhvvmb+L9/vUMo4pg+ppBvfWQspf17eR1N0pCKWkSkna11jdzx\np7dZvm0Pg/tm890rT+WiMYVex5I0pqIWESH6XvSTS6v49rNraAyGuWJ8Ef8981T69srwOpqkudQs\n6gcfhH37vE4hIkmiLRzhbyvf5dmWPHxjpvCLaycwc0Kx17FEgFQtahGRLtrbHB1ZrGFnPecXBvnB\nHedSrNHEJIGkZlHfeqvXCUQkCSzZUs/nHl3GrtFj+UXey3zotMEEVNKSYFKzqEVEOvHUsiq+8ZeV\nRBzM+shYrli8UcN+SkJSUYtI2vnda5v57nPr6JuTwa9uOIOzRxbAEpW0JCYVtYikDeccP3lxI7+c\nX05hXhazb5vK6MI+XscSOSoVtYikhUjE8a25a5i9cCtDB/Ti0dumagATSQoqahFJeZGI42t/XslT\nb1Vxykl9eOS2KQzqk+11LJEuUVGLSEpzznHP3NU89VYV40vzeeSWKRrERJKKLv0iIinLOccP/r6e\nRxduY8zgPJW0JCUVtYikrP/7Vzm/eXUzwwfmMvs2lbQkJxW1iKSkh96o4Kf/2EhJvxwe+7epFPTO\n8jqSyHFRUYtIyvnH2h18529rGdQni8f+bSqD+2q0MUleKmoRSSlravby5SeWkx3w8+DNZzJ0QK7X\nkUROiM76FpGUsWNfC7c9vJSmYJhff3ISpxb39TqSyAnTHrWIpITmYJhPP7KU7fta+PqMU5hx6kle\nRxKJCxW1iCQ95xxf/fMKVlbt5epJJXz2vOFeRxKJGxW1iCS9h9/cwnMr3+XMsn5876On6SpYklJU\n1CKS1JZv2833562joHcmv7z+DDIDelmT1KJHtIgkrT1NQW7/43JCEccvrp1IYZ7G75bUo6IWkaQU\niTjunLOC6j3N3HHRaM4ZWeB1JJFuoaIWkaT0m1c386/1tXxwVAG3XzjS6zgi3UZFLSJJZ2XVHn7y\n4gYK87L42TUT8Pt08pikLhW1iCSVlrYwd85ZQSji+OknJmgMb0l5KmoRSSo/emED5bX7ufnsMr0v\nLWlBRS0iSWPBpjoefKOC4QW5fH3GKV7HEekRKmoRSQoNLW189ckV+Mz46TUTyMn0ex1JpEeoqEUk\nKXz3b+uo3tPM588fwYTSfK/jiPQYFbWIJLzX3tnJn5ZWMq4ojy9eOMrrOCI9SkUtIgmtpS3Mfz29\nGr/P+OFVp2uIUEk7esSLSEL75b/K2VrXxK3nlDGuSNeXlvSjohaRhLVxRwO/fmUTxfk53DF9tNdx\nRDyhohaRhBSJOP7zL6sIRRzfmTmO3KyA15FEPKGiFpGE9KellSzdupvLTj2Ji8YUeh1HxDMqahFJ\nOLv2t/I/89bROyvArCvGeR1HxFNdKmozm2FmG8ys3My+cZjlQ8xsvpktN7OVZnZ5/KOKSLr4yYsb\n2dcS4q5LRusa05L2Oi1qM/MD9wGXAWOB68xsbIfV/guY45ybCFwL3B/voCKSHtbU7OWJJdsYNag3\nN04b6nUcEc91ZY96ClDunNvsnAsCTwAzO6zjgLzY7b5ATfwiiki6cM7x7WfX4hzc85GxBPx6d06k\nK8+CYqCy3XRVbF57s4BPmlkVMA/4Yld+uZnNMjNnZq6mRt0uku7mrdrO4op6po8p5IOjBnodRyQh\nxOvf1euAh51zJcDlwGwz6/S+nXOznHPmnLOioqI4RRGRZNTSFub789aR4Te++aExXscRSRhdKepq\noLTddElsXnu3AXMAnHMLgGxAF4oVkS574NXNVO9p5tZzhjGsINfrOCIJoytFvQQYZWbDzCyT6Mli\nczussw24CMDMxhAt6p3xDCoiqWv73hbuf3kTBb0zuf3CkV7HEUkoXTk8HQJuB14A1hE9u3uNmX3H\nzK6IrXYX8GkzWwE8DtzsnHPdFVpEUsvPX9pIc1uYuy45mT7ZGV7HEUkoXRqTzzk3j+hJYu3n3dPu\n9lrgnPhGE5F0UF67nzlLKxkxMJerJ5V4HUck4eizDyLiqR+/sIGIg69deoo+jiVyGHpWiIhnlm/b\nzfNrtjNxSD6XjtN43iKHo6IWEU8457j3+fUAfH3GKZiZx4lEEpOKWkQ88crGnSzcXM8FJw9k2vAB\nXscRSVgqahHpcZGI497nN2AG/zHjFK/jiCQ0FbWI9Li/rXqXde/u48oJxYwZnNf5D4ikMRW1iPSo\ncMTxi5c24vcZd0wf5XUckYSnohaRHvW3lTVs2tnIx88oZugADRUq0hkVtYj0mHDE8b//fIeAz7j9\nAu1Ni3SFilpEesx7e9MlDBnQy+s4IklBRS0iPSIccfziwN60Lrwh0mUqahHpEc+uqGHzzkaumlRC\naX/tTYt0lYpaRLpdKBw5+N70Fy7Q3rTIsVBRi0i3e3ZlDZt3NXL1ZO1NixwrFbWIdKtIxHH//E34\nfcbnz9fetMixUlGLSLd6ad0O3qndz8zxRdqbFjkOKmoR6TbOOe57eRMAnzt/hMdpRJKTilpEus2C\nTXWsqNzDJWMLGVXYx+s4IklJRS0i3eb+2N7053Wmt8hxU1GLSLdYUbmH18t3cc7IAUwozfc6jkjS\nUlGLSLe4/+VyAL6gM71FToiKWkTi7p0dDbywZgfjS/M5a8QAr+OIJDUVtYjE3W9e3QzA588fgZl5\nnEYkuamoRSSuave18Mzb1QwfmMvFYwq9jiOS9FTUIhJXD7+5hbaw49MfHI7Pp71pkROlohaRuGls\nDfHowq0U9M7koxOLvY4jkhJU1CISN3OWVrKvJcSN08rIzvB7HUckJaioRSQuQuEIv3+9gqyAjxvP\nGup1HJGUoaIWkbh4Yc0OqnY3c/XkEvrnZnodRyRlqKhF5IQ55/jtq5swg9s+MNzrOCIpRUUtIids\nyZbdrKjay8VjChlWkOt1HJGUoqIWkRP2wGvRAU4+fa72pkXiTUUtIidkW10TL63bwfiSvkwe2s/r\nOCIpR0UtIifkDwu24Bzc+oFhGi5UpBuoqEXkuO1vDTFnSSWD+mRx2amDvY4jkpJU1CJy3P68tJKG\n1hA3ThtKZkAvJyLdQc8sETkukYjj4Te3kBnwcf3UIV7HEUlZKmoROS7zN9Sypa6JKycUMaB3ltdx\nRFKWilpEjstDb2wB4JZzhnkbRCTFqahF5Jht3NHA6+W7mDa8P2MG53kdRySlqahF5Jg99EYFoL1p\nkZ6gohaRY7K3qY2/Lq+mpF8O08cUeh1HJOWpqEXkmDy5rJKWtgg3nTUUv08DnIh0NxW1iHRZJOJ4\nZMFWsgI+PjG51Os4ImlBRS0iXfbKxp1sq29i5oQi8nvpmtMiPaFLRW1mM8xsg5mVm9k3jrDOJ8xs\nrZmtMbM/xjemiCSCPyzYAsBNZ5V5GUMkrQQ6W8HM/MB9wMVAFbDEzOY659a2W2cUcDdwjnNut5kN\n6q7AIuKNLbsaeXnDTiYN7cepxX29jiOSNrqyRz0FKHfObXbOBYEngJkd1vk0cJ9zbjeAc642vjFF\nxGuzF24F4KazhnqcRCS9dKWoi4HKdtNVsXntjQZGm9kbZrbQzGbEK6CIeK8pGGLO0koKeusqWSI9\nLV4nkwWAUcD5wHXAA2aW39kPmdksM3Nm5mpqauIURUTi7enlNTS0hLh+6hBdJUukh3XlGVcNtP8c\nRklsXntVwFznXJtzrgLYSLS4j8o5N8s5Z845Kyoq6mpmEelBzjkeWbCFgM+4QVfJEulxXSnqJcAo\nMxtmZpnAtcDcDus8TXRvGjMrIHoofHMcc4qIR5Zt3c367Q1cMq6Qwrxsr+OIpJ1Oi9o5FwJuB14A\n1gFznHNrzOw7ZnZFbLUXgDozWwvMB77mnKvrrtAi0nMOnET2yWk6iUzEC51+PAvAOTcPmNdh3j3t\nbjvgztiXiKSIXftb+fuq7YwYmMtZwwd4HUckLemsEBE5ojlLKwmGI9w4bShmGtdbxAsqahE5rHDE\n8djCbeRk+PnYpBKv44ikLRW1iBzWKxtrqd7TzJUTi8jLzvA6jkjaUlGLyGHNXqCTyEQSgYpaRN6n\nsr6JlzfuZOKQfMYVaVxvES+pqEXkfR5btA3n4EbtTYt4TkUtIodoDYWZs7SSfr0yuPw0jest4jUV\ntYgc4vnV26lvDHL15FKyM/xexxFJeypqETnEYwu3AXD9FI3rLZIIVNQictCG7Q0s3lLPB0cVUFaQ\n63UcEUFFLSLt/HFR9CNZN0zVSWQiiUJFLSIANAVD/OWtagrzsrhozCCv44hIjIpaRAB4dkUNDa0h\nrjlzCBl+vTSIJAo9G0UEgEcXbsNncO2ZpV5HEZF2VNQiwsqqPayq3stFYwopys/xOo6ItKOiFpGD\nH8m6Yao+kiWSaFTUImlub3Mbc1fUUNo/h3NHDfQ6joh0oKIWSXNPL6+muS3MdVOG4POZ13FEpAMV\ntUgac87x2KKtZPiNqyfpJDKRRKSiFkljS7fuZuOO/Vw67iQG9snyOo6IHIaKWiSNPbZQI5GJJDoV\ntUiaqm8MMm/VdoYPzGXa8P5exxGRI1BRi6Spp5ZVEQxHuGHqUMx0EplIolJRi6ShSMTxx8XbyAr4\n+PgZxV7HEZGjUFGLpKEFm+uo2NXIh08vIr9XptdxROQoVNQiaeixA5eznKaRyEQSnYpaJM3UNrTw\n4podjBmcx8TSfK/jiEgnVNQiaWbOkkpCEcf1U4foJDKRJKCiFkkj4Yjj8cWV5Gb6+ehEnUQmkgxU\n1CJp5OUNtVTvaWbmxGJ6ZwW8jiMiXaCiFkkjjy2KXs7y+ik6iUwkWaioRdJE1e4m5m+oZUJpPqcW\n9/U6joh0kYpaJE08vngbzsEnp2lcb5FkoqIWSQPBUIQ/LakiLzvAh08f7HUcETkGKmqRNPCPtTvY\ntb+VqyaVkp3h9zqOiBwDFbVIGng0djnL66fqJDKRZKOiFklxm3buZ8HmOqYN78/IQb29jiMix0hF\nLZLiHlsY/UjWDVN1EplIMlJRi6SwpmCIJ5dVMrBPFpeOO8nrOCJyHFTUIins2RU1NLSEuPbMUjID\nerqLJCM9c0VSlHOO2Qu34jO4TiORiSQtFbVIilpRtZfV1fuYPqaQovwcr+OIyHFSUYukqNkLoh/J\n0khkIslNRS2SgnY3Bnl2ZQ1lA3rxgZEFXscRkROgohZJQX9eVkUwFOGT04bi85nXcUTkBHSpqM1s\nhpltMLNyM/vGUdb7uJk5M5scv4giciwiEceji7aSFfBx1aQSr+OIyAnqtKjNzA/cB1wGjAWuM7Ox\nh1mvD/BlYFG8Q4pI171WvoutdU18ZHwR+b0yvY4jIieoK3vUU4By59xm51wQeAKYeZj1/hu4F2iJ\nYz4ROUazF2wB4EadRCaSErpS1MVAZbvpqti8g8zsDKDUOfdcHLOJyDGqrG/in+trGV+az/jSfK/j\niEgcnPDJZGbmA34K3HUcPzsr9p62q6mpOdEoImnv0YVbcQ5uPlt70yKpoitFXQ2Utpsuic07oA9w\nKvCymW0BpgFzu3JCmXNulnPOnHNWVFTU9dQi8j7NwTBPLKlkQG4ml5822Os4IhInXSnqJcAoMxtm\nZpnAtcDcAwudc3udcwXOuTLnXBmwELjCObe0WxKLyGE9u6KGvc1tXDdlCFkBv9dxRCROOi1q51wI\nuB14AVgHzHHOrTGz75jZFd0dUEQ655zj4Te34PcZ10/VuN4iqSTQlZWcc/OAeR3m3XOEdc8/8Vgi\ncize2rabte/u47JTT9K43iIpRiOTiaSAR2Ljet90Vpm3QUQk7lTUIkmutqGFeaveZXRhb6YN7+91\nHBGJMxW1SJJ7fFElbWHHjWeVYaZxvUVSjYpaJIm1hsLMXriVPtkBPjaxuPMfEJGko6IWSWLPrXyX\nXftbuW7KEHKzunRuqIgkGRW1SJJyzvHgGxX4DG46SyORiaQqFbVIklq6dTerq/dxydiTKOnXy+s4\nItJNVNQiSeqhNyoAuOWcMm+DiEi3UlGLJKGq3U08v3o744rymDJMH8kSSWUqapEkNHvBViIObjln\nmD6SJZLiVNQiSaYpGOLxxdso6J3JR8brKlkiqU5FLZJknnqrmn0tIW6YOlRXyRJJAypqkSQSjjge\nfL2CTL+PG6bpKlki6UBFLZJEXlq3g4pdjVw5sYhBfbK9jiMiPUBFLZJEfvfaZgD+7YPDPU4iIj1F\nRS2SJN7atpslW3ZzwckDGV3Yx+s4ItJDVNQiSeLA3vSnz9XetEg6UVGLJIGtdY0HBzg5a/gAr+OI\nSA9SUYskgQdfryDi4DPnDtcAJyJpRkUtkuD2NAWZs7SKor7ZXH6aBjgRSTcqapEE9+jCrTS3hbnl\nnGFk+PWUFUk3etaLJLDmYJiH3thCn6wA10wp9TqOiHhARS2SwOYsraSuMchNZw8lLzvD6zgi4gEV\ntUiCagtH+O2rm8kK+LjlnGFexxERj6ioRRLUM2/XUL2nmeumDKGgd5bXcUTEIypqkQQUiTh+/com\nAj7TACciaU5FLZKAXly7g/La/cycUExxfo7XcUTEQypqkQTjnOP+l8sxg8+dr71pkXSnohZJMG+U\n17Gyai+Xjj2JkYN08Q2RdKeiFkkwv5z/DgCfv2CEx0lEJBGoqEUSyMLNdSzcXM+5owdyekm+13FE\nJAGoqEUSyM9f2gjAV6aP8jiJiCQKFbVIgliwKbo3ff7JA5k4pJ/XcUQkQaioRRLEgb3pO6aP9jiJ\niCQSFbVIAnhz0y4WVdRzwckDmVCq96ZF5D0qahGPOef4+UvRM72/rL1pEelARS3isQWb6lhcUc+F\npwzS3rSIvI+KWsRDzjl+Fntv+ssX6UxvEXk/FbWIh/61vpYlW3YzfcwgxmtvWkQOQ0Ut4pFwxPHD\n5zdgBl+79BSv44hIglJRi3jk6eXVbNjRwMcmlnDySRrTW0QOT0Ut4oHWUJif/mMjmQEfd16iM71F\n5MhU1CIeeHThNqr3NHPTtKG63rSIHJWKWqSHNbS0cd/8cvpkBfjCBSO9jiMiCU5FLdLDHnh1M/WN\nQf79vOH0y830Oo6IJDgVtUgP2r63hQdeq2Bgnyxu/cAwr+OISBLoUlGb2Qwz22Bm5Wb2jcMsv9PM\n1prZSjP7p5kNjX9UkeT3w+fX09wW5quXjKZXZsDrOCKSBDotajPzA/cBlwFjgevMbGyH1ZYDk51z\npwN/Bn4Y76Aiye6tbbv5y/JqTi3O46pJpV7HEZEk0ZU96ilAuXNus3MuCDwBzGy/gnNuvnOuKTa5\nECiJb0yR5BaJOL797FoAvvWRcfh95nEiEUkWXSnqYqCy3XRVbN6R3Ab8vSu/3MxmmZkzM1dTU9OV\nHxFJSn9dXs2Kyj18+PTBnFnW3+s4IpJE4noymZl9EpgM/Kgr6zvnZjnnzDlnRUVF8YwikjAaW0Pc\n+/x6sgI+7r58jNdxRCTJdOVslmqg/RtqJbF5hzCz6cA3gfOcc63xiSeS/O5/uZzahla+dNEoDW4i\nIsesK3vUS4BRZjbMzDKBa4G57Vcws4nAb4ArnHO18Y8pkpwqdjXywGsVDO6bzWfPG+51HBFJQp0W\ntXMuBNwOvACsA+Y459aY2XfM7IrYaj8CegNPmtnbZjb3CHcnkjacc3zzr6sIhiL814fG6uNYInJc\nuvTK4ZybB8zrMO+edrenxzmXSNL76/Jq3txUx4WnDOLy007yOo6IJCmNTCbSDXY3Bvnuc+vIyfDz\n7SvGYaaPY4nI8VFRi3SD789bR31jkDsvHk1p/15exxGRJKaiFomzBZvqeHJZFWMG53HLOWVexxGR\nJKeiFomjlrYw33x6FWbwPx87jYBfTzEROTF6FRGJo5/+YyObdzbyqbPKmFCa73UcEUkBKmqROFlc\nUc8Dr22mbEAv/mPGyV7HEZEUoaIWiYP9rSHuevJtDPjJJyboM9MiEjcqapE4+N5z66isb+az541g\n0tB+XscRkRSiohY5QfPX1/L44m2MGZzHHdNHex1HRFKMilrkBNQ3Bvn6UyvJ8Bs//cR4MgN6SolI\nfOlVReQ4RSKOO+e8TW1DK3defDJjBud5HUlEUpCKWuQ4/eqVTby8YSfnjR7Iv5+rK2OJSPdQUYsc\nhwWb6vjJixsY3Debn10zAZ9PY3mLSPdQUYsco9qGFr70xHJ8Zvzy+on0z830OpKIpDAVtcgxCEcc\nX378bXY2tPKNy05h0tD+XkcSkRSnohY5Bv8zbx0LNtdx8dhCbvvAMK/jiEgaUFGLdNEfF23jd69X\nMGJgLj++eryuMS0iPUJFLdIFb5Tv4p5nVtOvVwYP3nwmfXMyvI4kImlCRS3SifLa/Xz20WX4zPjt\nTZMZOiDX60gikkZ05QCRo6hvDHLbH5bQ0BLiJ1eP58wynTwmIj1Le9QiR9DQ0sbNDy1ma10TX7hg\nBB+fVOJ1JBFJQypqkcNoDoa57eGlrKzay1WTSrjrYl1fWkS8oaIW6aA1FOYzs5eyeEs9HzptMPd+\n/HSNPCYinlFRi7QTCkf40uPLee2dXVx4yiB+ds0E/CppEfGQilokpjUU5ktPLOeFNTs4a/gA7r/h\nDF22UkQ8p7O+RYDG1hCffXQZr72ziynD+vO7T00mO8PvdSwRERW1yJ6mIDc/tIS3K/cwfcwgfnn9\nGSppEUkYKmpJazv2tXDj7xexccd+PjaxmHuvOp0Mvw53i0jiUFFL2nq7cg//PnspO/a1cvPZZdzz\n4bE6u1tEEo6KWtLSU8uquPuvqwiFI9x92Sl85tzhusiGiCQkFbWklVA4wvfnrefBNyrokx3gtzdO\n4vyTB3kdS0TkiFTUkjaq9zTzlT+9zeKKekYO6s0DN01mWIEusCEiiU1FLWnhmber+a+nV9PQEuLS\ncYX8+Orx9MnWpSpFJPGpqCWl7W1u4/89vZq5K2rolennhx8/nasnl+j9aBFJGipqSUnOOeauqOF7\nz62jtqGViUPy+fk1E3QtaRFJOipqSTnv7GjgnmfWsGBzHVkBH1+9ZDSfPW8EAX0+WkSSkIpaUkZ9\nY5D755fz8JtbCEUc08cM4p4Pj2PIgF5eRxMROW4qakl6e5vb+N1rm3nw9Qoag2FK+uUw6yPjmD62\n0OtoIiInTEUtSatufyuzF27l969X0NASoqB3Fl+99GSumzJEY3WLSMpQUUvSWVuzj4feqOCZFTUE\nQxH69crg7stO4aazysjJVEGLSGpRUUtSaGhp4++rt/PUsioWVdQDUDagF586u4yrJ5fSO0sPZRFJ\nTXp1k4Q6TI3MAAAIe0lEQVTVGgrzZnkdf11ezYtrt9PSFgHgAyMLuOWcMi44eZAuoiEiKU9FLQll\n1/5W5q+v5Z/ranntnZ00BsMADCvI5aMTi/noxGJK++ssbhFJHypq8VR9Y5DFFXUs3FzPws11rN/e\ncHDZsIJcLjplEB86fTATSvM1mpiIpCUVtfSY+sYg67fvY3X1XlZW7WVV9V621jUdXJ4V8HH2iAGc\nf/JALhpTyIiBvT1MKyKSGLpU1GY2A/gF4Ad+55z7QYflWcAjwCSgDrjGObclvlElGTS0tFFZ38y2\n+iaqdjdRsauR8tr9lNfup64xeMi6+b0y+OCoAqaU9WfaiAGcXtKXrIDO2hYRaa/TojYzP3AfcDFQ\nBSwxs7nOubXtVrsN2O2cG2lm1wL3Atd0R2DpWcFQhH0tbexrbmNfS4jdjUHqGoMHv+9saGXHvha2\n72thx74WGlpC77sPMxjSvxcTh+QzclAfTivuy+klfSnpl6PD2SIinejKHvUUoNw5txnAzJ4AZgLt\ni3omMCt2+8/AL83MnHMujlm7xDlHee3+Q+fF5X47THe41/ctd4eud7jlDhf7Hs3tDq733vxIJDo/\n4qLzIs4RcdH54Ygj7Fz0dmx+OBKhLRxdFoo42kIRQrF5wVCEYDhCMBShNRQmGIrQ0hahuS1MS1uY\n5mCYxmCYxtYQTcEQ+1tDB8+07kzfnAyK+uYweGg2pf16Udo/hyH9ezGkfy7DB+ZqABIRkePUlaIu\nBirbTVcBU4+0jnMuZGZ7gQHArniEPBbOwcU/e7Wnf21K8BnkZgbIzQqQl5NBUX4OfbID5GVn0Dcn\ng7yc6PcBuZn0z81kQO9MCnpnUZiXrSIWEekmnp5MZmazgG8BDB48OG73+8lpQ97/uzjxQ6wdj9J2\nvMcjHcY9MPtAhvemo7fNYkssuo7Ze8t8ZgeX+8zw+6LrH7gd/R79MjMyYrcDfsPv85HpNzL8PgJ+\nHxk+IyvDR1bAT2bAR6bfR06mn+wMPzkZfjL8pkPRkr7y8rxOIHJYXSnqaqC03XRJbN7h1qkyswDQ\nl+hJZUflnJtF7JD55MmT43KY3OczvnvlafG4KxFJJ7fe6nUCkcPqygV6lwCjzGyYmWUC1wJzO6wz\nF/hU7PZVwL+8eH9aREQk1XS6Rx17z/l24AWiH8960Dm3xsy+Ayx1zs0Ffg/MNrNyoJ5omYuIiMgJ\n6tJ71M65ecC8DvPuaXe7Bbg6vtFERESkK4e+RURExCMqahERkQSmohYREUlgKmoREZEEpqIWERFJ\nYCpqERGRBKaiFhERSWAqahERkQRmiTLSp5ntBLZ6naMbFAE1XodIENoWh9L2OJS2x3u0LQ6Vqttj\nqHNuYGcrJUxRp6rYZbl1SSq0LTrS9jiUtsd7tC0Ole7bQ4e+RUREEpiKWkREJIGpqLvft70OkEC0\nLQ6l7XEobY/3aFscKq23h96jFhERSWDaoxYREUlgKmoREZEEpqIWERFJYCpqERGRBKaiFhERSWAq\n6jgys6+Y2RozW21mj5tZtpkNM7NFZlZuZn8ys0yvc3YXM3vQzGrNbHW7ef3N7B9m9k7se7/YfDOz\n/41tl5VmdoZ3ybvHEbbHj8xsfexv/quZ5bdbdndse2wws0u9Sd09Drct2i27y8ycmRXEptPysRGb\n/8XY42ONmf2w3fyUfWzAEZ8rE8xsoZm9bWZLzWxKbH7KPz46UlHHiZkVA18CJjvnTgX8wLXAvcDP\nnHMjgd3Abd6l7HYPAzM6zPsG8E/n3Cjgn7FpgMuAUbGvzwC/6qGMPelh3r89/gGc6pw7HdgI3A1g\nZmOJPl7GxX7mfjPz91zUbvcw798WmFkpcAmwrd3stHxsmNkFwExgvHNuHPDj2PxUf2zA4R8fPwS+\n7ZybANwTm4b0eHwcQkUdXwEgx8wCQC/gXeBC4M+x5X8ArvQoW7dzzr0K1HeYPZPo3w2H/v0zgUdc\n1EIg38wG90zSnnG47eGce9E5F4pNLgRKYrdnAk8451qdcxVAOTClx8J2syM8NgB+BvwH0H5Ah7R8\nbACfA37gnGuNrVMbm5/Sjw044vZwQF7sdl/euyhHyj8+OlJRx4lzrprof8DbiBb0XmAZsKfdC3MV\nUOxNQs8UOufejd3eDhTGbhcDle3WS8dtcyvw99jttNseZjYTqHbOreiwKO22Rcxo4IOxt8peMbMz\nY/PTdXvcAfzIzCqJvrbeHZufdttDRR0nsfdeZwLDiF6SLZfDHOpLZy46DJ6GwgPM7JtACHjM6yxe\nMLNewH8SPaQpUQGgPzAN+Bowx8zS9opRRI8wfMU5Vwp8Bfi9x3k8o6KOn+lAhXNup3OuDfgLcA7R\nwzKB2DolQLVXAT2y48Bhqdj3A4fzqoHSduulzbYxs5uBDwM3uPfG8E237TGC6D+1K8xsC9G/9y0z\nO4n02xYHVAF/iR3SXQxEgALSd3t8iujrKMCTvHe4P+22h4o6frYB08ysV+y/4IuAtcB84KrYOp8C\nnvEon1fmEv274dC/fy5wU+wMzmnA3naHyFOWmc0g+p7sFc65pnaL5gLXmlmWmQ0jeqLMYi8y9gTn\n3Crn3CDnXJlzroxoSZ3hnNtOmj42gKeBCwDMbDSQCewizR4b7dQA58VuXwi8E7udfo8P55y+4vRF\n9Aov64HVwGwgCxhO9ElVTvS/wiyvc3bj3/840ffn24i+8N4GDCB6tvc7wEtA/9i6BtwHbAJWET1b\n3vO/oQe2RznR99fejn39ut3634xtjw3AZV7n7+5t0WH5FqAgzR8bmcCjsdePt4AL0+GxcZTt8QGi\n5/msABYBk9Ll8dHxS1fPEhERSWA69C0iIpLAVNQiIiIJTEUtIiKSwFTUIiIiCUxFLSIiksBU1CIi\nIglMRS0iIpLAVNQiIiIJ7P8DVuwnzrj/KbQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = 70, 150, 150\n", "ys = d.cdf(150), d.cdf(150), 0\n", "plt.plot(iqs, d.cdf(iqs))\n", "plt.plot(xs, ys, color='red', alpha=0.5)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulate IQs of 1 million students." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "n = int(1e6)\n", "data = d.rvs(n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What IQ do you need to be in the top 10 percentile?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "146.65479002172754" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.sort()\n", "data[int(0.9 * n)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What fraction of Duke students have IQs between 100 and 130?" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.490008" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "((data < 130).sum() - (data < 100).sum())/n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- What percentile would you be if your IQ was 150?" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.93808499999999995" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(data < 150).sum()/n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating parameters" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "n = 50\n", "mu_ = 100\n", "sd_ = 15\n", "d_ = stats.norm(mu_, sd_)\n", "xs = d_.rvs(n)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "mu, sd = stats.norm.fit(xs)\n", "d = stats.norm(mu, sd)" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "d1 = stats.norm(mu, sd/np.sqrt(n))\n", "ci = d1.interval(0.95)" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAFfCAYAAABTOoWkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(xs, normed=True, histtype='step', linewidth=1)\n", "xp = np.linspace(xs.min() - sd_, xs.max() + sd_, 100)\n", "yp = d.pdf(xp)\n", "plt.plot(xp, yp, color='red')\n", "plt.axvline(mu, color='black')\n", "ymin, ymax = plt.ylim()\n", "plt.fill_between(ci, ymin, ymax, color='grey', alpha=0.5)\n", "plt.title('Fitted normal distribution with 95% CI',\n", " fontsize=16)\n", "pass" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }