{ "cells": [ { "cell_type": "markdown", "id": "1a7c05e7", "metadata": {}, "source": [ "# 2D Data: Correlation and Pairwise Effects\n", "\n", "In some datasets, the key point of interest is the relationship between two variables. Important experimental examples would be:\n", "\n", "* paried designs (where pairs of participants are compared, to balance out external variables - for example: \n", " * patients and control participants may be matched on age and sex\n", "* Repeated measures designs, where the ame participant completes all conditions in the experiment\n", " * A patient's blood pressure before and after taking a drug\n", " * Reaction time on the same task with and without distraction\n", " \n", "\n", "If we want to see the relationship between paired measurements, we need a type of plot that shows that relationship. Good examples are:\n", "\n", "* scatterplot `sns.scatterplot()`\n", "* scatterplot with regression line `sns.regplot()`\n", "* 2D histogram `sns.histplot()`\n", "* 2D KDE plot `sns.kde()`" ] }, { "cell_type": "markdown", "id": "1c691267", "metadata": {}, "source": [ "## Example: brother/sister heights\n", "\n", "\n", "\"A\n", "\n", "A researcher hypothesises that men are taller than women.\n", "\n", "He also notices that there is a considerable genetic influence on height, with some families being taller than others\n", "\n", "He decides to control for this by comparing the heights of brothers and sisters (shared genetic influence, shared upbringing). This is a paired design.\n", "\n", "I have provided some made-up data\n", "\n", "### Set up Python libraries\n", "\n", "As usual, run the code cell below to import the relevant Python libraries" ] }, { "cell_type": "code", "execution_count": 1, "id": "2d8ecdb6", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Set-up Python libraries - you need to run this but you don't need to change it\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats\n", "import pandas as pd\n", "import seaborn as sns\n", "sns.set_theme(style='white')\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf" ] }, { "cell_type": "markdown", "id": "cfea7d05", "metadata": {}, "source": [ "### Load and inspect the data\n", "\n", "Load the file BrotherSisterData.csv which contains heights in cm for 25 fictional brother-sister pairs" ] }, { "cell_type": "code", "execution_count": 2, "id": "abe0d2bc", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " brother sister\n", "0 174 172\n", "1 183 180\n", "2 154 148\n", "3 172 180\n", "4 172 165\n", "5 161 159\n", "6 167 159\n", "7 172 164\n", "8 195 188\n", "9 189 175\n", "10 161 160\n", "11 181 177\n", "12 175 168\n", "13 170 169\n", "14 175 165\n", "15 169 164\n", "16 169 163\n", "17 180 176\n", "18 180 176\n", "19 180 172\n", "20 175 170\n", "21 162 157\n", "22 175 172\n", "23 181 179\n", "24 173 171" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heightData = pd.read_csv('https://raw.githubusercontent.com/jillxoreilly/StatsCourseBook_2024/main/data/BrotherSisterData.csv')\n", "display(heightData)" ] }, { "cell_type": "markdown", "id": "4a1b3fef", "metadata": {}, "source": [ "### Independent KDE plots\n", "\n", "Let's use a KDE plot to compare the heights of the men (brothers) and women (sisters) in the sample.\n", "\n", "We can call KDE plot twice to plot the data from brothers and sisters overlayed" ] }, { "cell_type": "code", "execution_count": 3, "id": "883e38c3", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'height (cm)')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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SEh544AHee+89srKy/HW7R8zv7wbPPPMMb731Fvfddx8JCQk89NBDXHnllXz88ce9pvWgqyHM4XDwyiuv0NLSwm233cZdd93FAw88AMBzzz3Hyy+/zF133cWECRNYu3Ytd911FwaDgbPPPrtfMYQQw9f+qhaKK1u4+KSx/k6lm6IoTBsTz1cb9tNmcw74JprCO66WukEx5siRI3nyySd56qmneOONN9DpdMyePZvnn3+eysrK7uuio6N54YUXeOSRR/jFL36B2+1mypQpvPzyy4SGhgJwySWX8MADD7Bnzx4+/PBDXnrpJR566CFuuOEG7HY7WVlZPPnkk8yZM0eze/Y1RVVV1V+DO51OZs+ezc0338yFF14IQEtLC/Pnz+fee+/ltNNO63F9Xl4eF1xwAZ9++ml3Vbpq1SquuOIKVqxYQUJCAgsWLODCCy/kd7/7XffX3XbbbRQXF/Of//ynXzGO1IFGtsE0tSiE6Nvrn+/kg5WF3PqrmQN2dlx/tLQ7efDfG/ndOZM45ZhMf6cjDtLR0UFRURGZmZk9+nCG0tEog9VPfW8OOJJ/v/06w1RQUEB7ezuzZ8/ufi08PJzx48ezYcOGXgXTxo0biYuL6zGFN3PmTBRFITc3l5NPPpn777+fzMzebyYHHok8XIxTTz1V69sUQgwiq7dUMC49OqCKJYDwEBOj0iL5asN+KZgGCUNEHKm/e0IO3x0i/FowVVVVAZCYmNjj9fj4+B7TfwdUV1f3utZkMhEZGUllZSU6na7X9F5ZWRmffPIJF1xwQb9iCCGGr9LqVspq2jg+QM9umzYmnje/3EVpdSupCYH7+LX4H0NEnBQtQ4Rff4Sy2+0AvXqVzGZzj70ZDr6+r76mn7q+traW3/72t8TExHD11VcfVQwhxPCxZlslJqOOkamR/k6lT2PTowk2G/gmt9TfqQgx7Pi1YDqwnuh09lzfdTgcBAUF9Xn9j689cH1wcHCP1/bt28eFF15Ie3s7L7/8MhEREUccQwgxvKzZVsHotCiMBr2/U+mT0aBj/IgYVmwqw4/tp0IMS34tmA4sjdXU1PR4vaamBqvV2ut6q9Xa61qn00lTU1OPZu3c3FwuuOACzGYzb731FmlpaUccQwgxvNQ02thb1syEzBh/p3JI2aNiqWm0s6uk0d+pCDGs+LVgGjt2LKGhoaxbt677tZaWFvLz85kxY0av63NycqiqquqxT9OBr502bRrQdYLyFVdcwahRo3jjjTd69Sv1J4YQYvhZu70SvU5hTFrU4S/2o8zECMJDTKzIK/N3KuJHZNYv8Gj5PfFrwWQymVi8eDEPP/wwy5cvp6CggBtuuAGr1cqiRYtwu93U1tbS0dEBQHZ2NtOmTeOGG25g69atrF27ljvvvJOzzjqLhIQEXC4Xf/jDH4iJieH+++/H6XRSW1tLbW0tDQ0N/YohhBie1myrJCslAovZ79vTHZJOpzApK4bvNlfgdnv8nY4AjEYjgGyAHIAOfE8OfI+84fd3huuuuw6Xy8Vf/vIXOjo6yMnJ4cUXX8RkMlFWVsbChQu57777OOecc1AUhaeeeoq77rqLSy+9FLPZzMknn8ytt94KdM0uHZg5OvHEE3uMk5yczNdff33YGEKI4afN3kl+UQNnzBscj+tnj4pj9dZKthXWMWV0vL/TGfb0ej2RkZHd7R7BwcEoipz550+qqmKz2aipqSEyMhK93vu+RL9uXDlUyMaVQgxu3+WV8+DrG/njJTOIDDX7O53DUlWVf7y5iWlj4rnul1P9nY6g63tSVVVFU1OTv1MRB4mMjMRqtf5kATtoNq4UQohAsH5nFYmxIYOiWIKuo1ImjohhzbZKrjkvG4M+sDbZHI4URSExMZH4+Hg6Ozv9nY6gaxlOi5mlA6RgEkIMa26PSu7OaqaPHVw9jBOzYlmRV852WZYLKHq9XtN/pEXgkB9LhBDD2u6SRlptnYxND+yn434sKTaE6HALq7fKCQVCDASZYRJCDGsbdlYRYjEQr2+hfe8ePPY2PA4b6HToDCYMYTHoI+MxRsajKIHzM6aiKEwYEcP3Wyv43TmT0eukyVgIX5KCSQgxLLk72mnPX8333zeQ4m6i4YtPAAWdyYxitKCqHnB34nF0HeGkM4dgSR1L8MhpmGJT/Zv8DyaOiOG7zeXk76tn0shYf6cjxJAmBZMQYlhx1pXRvO4j2ravpKnTQLn9PM7IcBM+4jQMYdEo+p5vi55OB+62Rpy1pXSU78a2NxdTfDrhUxdhikv7iVEGRkp8KJGhZlZvrZCCSQgfk4JJCDEsdDZW0bDiTdp3rEYXHEbIhHnke8ahrGhl7ISRGM19L7fpjGZ0UVaMUVaCR06ns7YUe9FW6r54gaCsaYRPOwm9uffZlwNBURTGZ0azZlslV509Sfb+EcKHpGASQgxpnk4HTd8voWnNUnTmYMJnnkpw1jQUvYEtn1WRFGUk+CeKpR9TdDpMCekY41Jx/DDb5KzaR9SCCzBFJ/n4Tvo2PjOG77dVsresiVGpg6txXYjBRAomIcSQ1VFaQM1HT+JqriV0/FxCJs5HZzAB4PGobN1vZ3pm8BHHVXQ6LKljMcYm07b1W+o/f4HIY84mKGOS1rdwWOmJ4QRbDKzbXiUFkxA+FDiPfAghhEZUt4uGb16n4rW/oBiMxJ12DWFTFnYXSwCFNQ7aHR6yEo5+s0p9UBjhOadgSkincdW7tO/J1SL9I8vhhwOD12yX7QWE8CWZYRJCDCmuljqql/wDR8UewqYsJGT8XBRd758Nt5TYsBgVUqJMfUTpP0VnIGTCPBS9ieZ1H6B63ISOmelVzCM1LjOGN74ooLKuncTYkAEdW4jhQmaYhBBDRkfpTspevBlXUxUxP7uc0Inz+yyWADaX2MiMM6PTYP8iRdERPHYWlrTxtGz4BPv+fK9jHonRqZEYDTrW7ZBZJiF8RQomIcSQ0LrlaypevxNDWDQxp1yFKe6n90qyOdzsqXZ4tRz3Y4qiEDw6B1NCBk2r3sVZs1+z2IdjMurJSo5gzTYpmITwFSmYhBCDmqqqNKx8m9qPnyZ4xBSiF/4KveXQy1I7yjpQVRgRr+1hu4qiI3TifAzhMTSseBO3vVXT+IcyLiOagpJGWm3OARtTiOFECiYhxKCletzUffosTd/9l7ApCwmfdQaK7vAHn24rtREdoicqRPs2TkWnJ3TycYBK43fvoKpuzcfoy+i0KDwelU0FNQMynhDDjRRMQohBSXW7qPngCVq3LCdiztmETjy23xs3bt1vJyNO29mlg+nMwYROWoCztoTWLd/6bJyDRYSaSY4LZUN+1YCMJ8RwIwWTEGLQUd0uqpc8QnvBGiLn/4LgrCn9/tr6VhcVTZ2aL8f9mDHKSlDmFNp2rMRZX+7TsQ4YkxbFxoIa3G7PgIwnxHAiBZMQYlBR3S6q338U295coo79JUFp44/o67eV2VCAzDjvthPoj6DMSRhCY2j6fgked6fPxxubEUW7vZOdxQ0+H0uI4UYKJiHEoKF63NR8+CS23euJmv8LLCljjjjGtv12EiONBJsP3+vkLUWnJ2TCXFwt9bRtXeHz8ZLiQgkLNrIhv9rnYwkx3EjBJIQYFFRVpf7Ll2jfuZrI+edjSR17VDG2ltrJ8PFy3MEMYdEEZWbTlr+KzuZan46lUxRGp0WxXvqYhNCcFExCiEGh6bt3aMn9nIiZZxzxMtwB5Q2dNNvcjBiA5biDBWVORBcUSsvGT1FV1adjjUmLoqymjZoGm0/HEWK4kYJJCBHwWrd8TeN3bxM2ZSHBo6YfdZztZXb0OkiLGdiCSdEZCBmVg6OykI6ynT4dKyslEp2ikFsgy3JCaEkKJiFEQLMVbaH202cJHjmdkAnzvYq1vcxGSrQJo2Hg3/qMcakYY1Joyf0C1ePy2ThBZgNp1jA2yn5MQmhKCiYhRMBy1ldQ/d7DmK2ZhM88rd/7LPXFo6rsKOsgPXZgZ5cO6Do6ZTrutiba92zy6Vij06LYsqeWTtfAbJopxHAgBZMQIiB5Otqpfuc+9JYQIued368dvA9lf52TdoeHTB9uWHk4htBozIlZtG39Bo/Ld0eYjE6LxOF0k79PthcQQitSMAkhAo6qeqj+4HFcrQ1ELbgAncnidcztpXYMekiJ9s8M0wFBWVPwOO20F6z12RiJMSGEh5jYKH1MQmhGCiYhRMBp+v597Hs3ETn3PAzhsZrE3F5mJy3ahEF/9Mt6WtAHhWFJGUP7jlV4Ojt8MoaiKIxKjSR3pxRMQmhFCiYhRECxF22lccWbhE46FkvyKE1iuj0q+eV20v24HHewoIxJeFxObLvX+2yMUalRlNa0Udto99kYQgwnUjAJIQKGq62J6qWPYkoYQeik4zSLW1TjoKNT9Wv/0sF0lhAsyaNoy1/js16mkSkRKMDm3fK0nBBakIJJCBEQVNVD7UdPgOohcu45KDrt3p7yy+0Y9QpJUUbNYnrLkjEJj9OObW+uT+IHW4ykJISyaZcUTEJoQQomIURAaF7/CfZ9W4iYcxb6oFBNY+8os5MaY0Kv82//0sH0QWGYrSNoy1+N6vHN4/8jUyLZvLsWt8e3u4sLMRxIwSSE8DtnzX4avnmdkLGzsSRp07d0gNujsrOigww/7b90KJb0CXhsLXTs3+GT+KNSo2izd1JY1uST+EIMJ1IwCSH8SnW7qPnwcQyh0YRNPVHz+EW1Xf1LGQHSv3QwQ1g0xugk2nZ+75Mz5lLjQzGb9OTJspwQXpOCSQjhV02rl+Cs2U/kMWej6LXvMcov7wi4/qWDWdLH01lfQWdtqeax9XodI5IjpI9JCA1IwSSE8BtHdTGNq98ldOJ8jDFJPhmjq3/JGFD9SwczxiSjD46gbef3Pok/KiWSgpJGbB2dPokvxHAhBZMQwi9Uj5vaT57BEB5D6MRjfTKGx6NSUGEnPTbwluMOUBQdlrRxdJTtxG1r1jz+qNRIPB6V7fvqNY8txHAiBZMQwi9aNn6Gs3IfEbPORNEbfDJGcZ0Tu1MNyIbvg5kSs1D0Btr3an8ob3S4hagwM1t212oeW4jhRAomIcSAc7XU0fDtGwSPzsEUl+qzcfLLus6PS/bz+XGHozOYMFtHYNuzEVXVdosBRVHISo6Qxm8hvCQFkxBiwNUtexnFYCJsykKfjpNfbic1OrD2X/op5pSxeOytdJTt0jx2VkokpTVt1DfLMSlCHC0pmIQQA8pWtAVbwVrCp/0Mncnis3E8atf+S2kB3L90MENYNIaIeGy7N2geOys5AoAte+o0jy3EcCEFkxBiwKjuTuo/fwFTfAaWjEk+Hau03km7w0N6gPcvHcycMhpHZSGu9kZN44YGm0iKDWHLHuljEuJoScEkhBgwLblf0NlYSXjOKSiKb5fJ8ss70OsgJcD7lw5mik9H0RuxF27WPHZWcgR5u2t8skGmEMOBFExCiAHhtrfS+N1/CR45HWOU1efj5ZfZSY4yYdQHfv/SATqDCVNCBrbCzaiqR9PYWSmRNLY4KKtp0zSuEMOFFExCiAHR+N07qG4XoZOP9/lYqqqSX24nbRAtxx1gThqJu70RZ02JpnEzEsPR6xS2yrKcEEdFCiYhhM91NlTQkvs5oRPmow8K9fl45Y2dtHZ4An7/pb4YIhPQBYdjK8zTNK7JqCc1IYwte6XxW4ijIQWTEMLnGr59E50llJBxswdkvJ3ldnTK4OpfOkBRFMyJI+ko2YHH5dA09ojkCLburcPtkT4mIY6UFExCCJ9yVO6jfef3hE1e4JPDdfuys6KDxEgjZuPgfIszJ45AdXfSUVqgadys5Aja7Z0UVWh/BIsQQ93gfDcRQgwaDd/+B0N4LEEjpgzIeKqqsqNscPYvHaAPCsMYmYC9aKumcVMTwjAadNLHJMRRkIJJCOEz9v07sO/bTGj2CSg6/YCMWdviorHdTXrM4Niw8qeYrJk4Kgtxd2j3VJtBryMjMVw2sBTiKEjBJITwmcaVb2OISsSSNn7Axsyv6Dr+YzDPMAGYEjIAsJfs0DTuiOQIdhTV0+nSdtsCIYY6KZiEED5h37+DjpIdXb1LPt6k8mA7yztIiDAQZBrcb286UxDGmGTNl+WykiNwON3s3q/tbuJCDHWD+x1FCBGwGlf+F0OUFXPK2AEdN7/cTlrM4J5dOsBszaSzrhRXm3bFTWJsKBaTnu2FsiwnxJGQgkkIobmO0gI6SrYTNum4AZ1damx3Ud3sIn2QHLh7OMa4VNDp6difr1lMvU7p6mOS/ZiEOCJSMAkhNNf4/XsYIuMxp44Z0HF3lncADJkZJp3BhDE2BXvJdk3jjkiOoKC4gU6XW9O4QgxlUjAJITTlqC7GvncTIePnoSgD+xazs8JOTKiesKCBeSJvIJjj0+msL8fVrt2y3IikCDpdHnaVSB+TEP0lBZMQQlNNa5aiD4kkKGPigI+dX9ZB2iDfTuDHupflSrRblrPGhBBkNrBNluWE6DcpmIQQmulsqqY9fzUh448ZsH2XDmjrcFPa4CR9kG8n8GM6g6nraTkNl+V0OoWMJOljEuJISMEkhNBM8/qP0ZksBGdNHfCxCyp+6F8aYgUTgDkhg876ctztTZrFHJEUwe79jTg7pY9JiP6QgkkIoQl3Rzutm78meNQMFMPAFy355XYigvREBg+d/qUDjLGpoOiwl+7ULOaI5K4+poKSBs1iCjGUScEkhNBE6+avUN2dBI+Z6Zfx88s7SIs1Deg2BgNFZzRhjE6kY792BVNCdDDBFgPb9tZrFlOIoUwKJiGE11SPm+b1nxCUMQl9UNiAj9/h9FBc6xgy2wn0xRSXhrO2BLfDpkk8ndK1H9M22cBSiH6RgkkI4bX2grW4W+sJGTfHL+PvrurAozLkGr4PZopPAxUcZQWaxcxMlD4mIfpLCiYhhNeaN3yKKSEDY5TVL+Pnl3cQYtYRG2bwy/gDQWcOxhAZR0ephgVTcnjXfkxyrpwQhyUFkxDCK47qYhxlBQSP9k/vEsDOH86PG4r9SwczxaXhqNiLx+XUJJ41ums/pu2yvYAQhyUFkxDCKy25n6MLDseSOrCH7B7gdHnYU90xJLcT+DFTXBqqx4Wjcq8m8XS6A31M0vgtxOFIwSSEOGrujnbatq0geOT0Ad+o8oC91Q5cbobMgbuHog+JQB8ciaNst2YxM5PCKSiRc+WEOBwpmIQQR61t6zeobhfBI6f7LYed5R1YjAoJEUO3f+lgxrgUOsp2oaoeTeJlyrlyQvSLFExCiKOiqiotecuwpI5DHzzwWwkckF9uJzXGhG6I9y8dYIpLxeNop7O+QpN4iTEhWEx6duyTZTkhDsXvBZPH4+GJJ55g/vz5ZGdnc/nll1NSUvKT1zc2NnLTTTeRk5NDTk4Ot99+OzZb3/uSbNiwgXHjxvV6/f3332fMmDG9Pg41rhCiJ0fZLjrrygge5b/ZJZdbZXdlx5DeTuDHDBFxKAYzHWW7NImn0ymkW8PZLn1MQhyS3wumZ555hrfeeot77rmHt99+G0VRuPLKK3E6+34K5LrrrqO0tJRXXnmFJ554gtWrV3PXXXf1um7dunVcc801eDy9p6137drFzJkzWbVqVY+PlJQUze9PiKGqZfMy9KFRmKyZfsuhuNaBw6UOi/6lAxSdHmNsirb7MSWFs7OkAZdbm2U+IYYivxZMTqeTl156iWuvvZYFCxYwduxYHn30Uaqrq1m2bFmv6/Py8li/fj333XcfEyZMYM6cOdx999188MEHVFdXA+Byubjnnnu4/PLLSU1N7XPc3bt3M3bsWOLi4np86PVD7wwqIXzB3dFOe/73BI+chqL4720kv9yOUa+QGGn0Ww7+YIpLpbOpWrPDeDMSI3A43RSWaRNPiKHIrwVTQUEB7e3tzJ49u/u18PBwxo8fz4YNG3pdv3HjRuLi4sjKyup+bebMmSiKQm5uLgA2m43t27fz0ksvsXjx4j7H3bVrFyNHjtT4boQYPtq2r0R1uwgaMdWveewo7yA1xoheNzz6lw4wxiSBoqOjYo8m8ZLjQjAZdLIsJ8Qh+LVgqqqqAiAxMbHH6/Hx8VRWVva6vrq6ute1JpOJyMjI7uvDw8N56623mDVrVp9jNjQ0UFdXx4YNGzj99NOZN28ev//97ykqKtLiloQYFlo3L8ecPNqvzd4ej0pBhX1YLccdoDOaMUbE4yjXZnsBvV5HmjWM7dL4LcRP8mvBZLfbga6i52BmsxmHw9Hn9T++9lDX92X37q43GL1ezwMPPMCjjz6KzWbjoosuoq5OdrsV4nAc1cU4q4sIzvLv7FJJnRO7Ux1WDd8HM8Ym46jah+p2aRIvIzGC/KJ63B5Vk3hCDDV+LZgsFgtArwZvh8NBUFBQn9f31QzucDgIDg7u15izZ89m/fr1PPDAA0yYMIGcnByefvppPB4PS5YsOYq7EGJ4adv2LTpLCObkUX7NI7/cjkEPyVHDtWBKQXV14qgp1iReZlI4tg4XxRXNmsQTYqjxa8F0YHmtpqamx+s1NTVYrb0P8bRarb2udTqdNDU1kZCQ0O9xIyIievw+ODiYlJSU7sZxIUTfVLeL1m0rCMqY7LedvQ/IL7eTEm3CoB9e/UsH6EOj0JlDcJRr08eUEh+GQa/IspwQP8GvBdPYsWMJDQ1l3bp13a+1tLSQn5/PjBkzel2fk5NDVVVVj/2SDnzttGnT+jXmG2+8waxZs+jo6Oh+ra2tjeLiYmkEF+IwbIV5eGwtBGVN8WseHlUlv7yDtJjhObsEoChK17KcRgWT0aAjJT5MNrAU4if4tWAymUwsXryYhx9+mOXLl1NQUMANN9yA1Wpl0aJFuN1uamtru4ub7Oxspk2bxg033MDWrVtZu3Ytd955J2eddVa/Z5iOP/54VFXlj3/8I3v27GHbtm1ce+21REdHc/bZZ/vydoUY9Fq3foMxOhFjVO8Z4IFUVu+k3eEhYxg2fB/MFJOCq7UOV2uDJvEyEsPZsa8eVZU+JiF+zO8bV1533XWcd955/OUvf+HCCy9Er9fz4osvYjKZqKysZN68eXz66adA109UTz31FCkpKVx66aVcf/31HHvssfz1r3/t93iJiYm8+uqrtLe3c+GFF3LZZZcRFhbGa6+91t1TJYTozW1vw7Y3l6DMbH+nQn55B3odpEQPr/2XfswQnQiKDkflXk3iZSSG09LupKymTZN4Qgwliio/Snht4cKFACxfvtzPmQjhOy15y6j77Dniz7kJfZD/thMAeOTTKiobO/n1gli/5hEIWjZ8ij40iujjLvI6lsPp4u6X1vH787I5aXaG98kJEeCO5N9vv88wCSEGh7ZtKzAnZvm9WFJVlfwy+7DdTuDHDDE/bC/gcXsdy2wykBQbKo3fQvRBCiYhxGF1NtfQUboTS8Zkf6dCWUMnrR0eMuKGd//SAcbYJFSXE2fdfk3iZSSGs0N2/BaiFymYhBCH1bb9OxSDCUvqWH+nwo4yO3odpA7z/qUDDGEx6EwWHBWFmsTLTAqntslOTYNNk3hCDBVSMAkhDqttx3eYU8agM/p/VmdHuZ3kKBNGg7x9ASiKDkN0Eo4KbRq/063hAOwoklkmIQ4m7zhCiENy1uyns7aUoIxJ/k6la/8l6V/qxRiTRGdDJW5Hu9exQoKMxEcFyX5MQvyIFExCiENqy1+NYgrCnJjl71Qoa3DS2uEhU/qXejBFJwEqzkptluUO7MckhPgfKZiEED9JVVXa8ldhSR2Lojf4Ox3yy2T/pb7oLCHoQ6NwVO7TJF5GYjhlNW00t/XvUHMhhgMpmIQQP8lZtQ9XY1VALMdBV8N3SrT0L/XFGJ1IR+VeTXbpzkjsOm8zX/qYhOgm7zpCiJ/Ulr8KnSUEU0KGv1PBo6psl/6ln2SMScJja8HV6n2RExlmJirMzI592hy5IsRQIAWTEKJPXctx32NJHYei0/s7HfbXdZ0fJ/1LfTNEWX84JkWbPqZ0azg79tVpEkuIoUAKJiFEnxyVhbhb6rCkT/B3KgBsL7Nj0ENKtMww9UWnN2KMjNes8Ts9MZx9FS3YHS5N4gkx2EnBJIToU/vO77uW4+LT/Z0KANtL7aRFmzDoFX+nErAM0Uk4qopQVe+PSclMCsfjUSkolmU5IUAKJiFEH1RVpX3n91hSxgbEcpzbo7Kzwi7HoRyGMSYJ1eWgs67c61hxkUGEBBllA0shfiAFkxCiF2dVEa7m2oBZjiuqcWB3qlIwHYYhLAbFYNJkewFFUUi3hsl+TEL8QAomIUQv7QXfozMHB8TTcdDVv2QyKCRFyf5Lh6LodBiirDiqtNmPKd0azq6SRjpdHk3iCTGYScEkhOhBVVXadq7BHCDLcQDbSu2kxZjQ66R/6XBM0Yk460rxuJxex8pIDKfT5aGwvMn7xIQY5KRgEkL00FlXiquxCkvaOH+nAkCnS2VXRYdsJ9BPhuhE8Lhx1u73OlZSbAgmg458WZYTQgomIURP7QXrUIxmzNYR/k4FgN1VHTjdKiPipWDqD31IJDpzsCbLcnq9jtQE6WMSAqRgEkL8SPuutZiTRgXE2XEA20pthJh1JEQERj6BTlEUDFFWnBqdK5eeGE5+UQMej/dHrggxmEnBJITo1tlUjbO6OGCW4wC27reTEWdCUaR/qb+M0Yl0NlTidti9jpWRGE6bvZPSmlYNMhNi8JKCSQjRrX3XetAbMCeN8ncqALQ73BTWOBgh/UtHxBidBKg4q4u8jpWaEIZOUaSPSQx7UjAJIbq171qH2ToCnTEwCpT8sg5UFTKlf+mI6INC0QWHa1IwmY16kuJC5CBeMexJwSSEAMBta8FRVoAlZay/U+m2rdRGdIieqBDpXzpSRg33Y8pIDJcdv8WwJwWTEAIA256NoII5ZYy/U+nW1b8ks0tHwxiViKu5Fre9zetY6dZw6prs1DTaNMhMiMHpqAqmiooKrfMQQvhZ++4NGGNT0AeF+jsVAOpaXVQ0dcp2AkfJGGUFwFnj/bJcemI4APlFsiwnhq+jKpgWLlzIr3/9az766CMcDofWOQkhBpin04F932YsATW7ZENRkILpKOkswehDInFUeV8whQYZiY8KksZvMawdVcH08MMPYzAYuOWWW5g7dy533HEHmzdv1jg1IcRAsRdvQ3U5MacGTv/Slv02kqOMBJmkc+BoGaOsOCoLNYmVZpU+JjG8HdU70Wmnncbzzz/Pt99+y1VXXcWmTZu44IILOPnkk/nXv/5FdXW11nkKIXzItnsD+vAYDOGx/k4FAI9HZet+u8wueckQnYi7rRG3rdnrWBmJ4eyvaqXV5v0ZdUIMRl796BYXF8eVV17Jxx9/zPvvv098fDyPPvooJ5xwAldffTW5ubla5SmE8BFV9WDbsxFL8piA2RxyX62DdoeHLCmYvGKMSgDQZFku44c+pp3F0sckhiev57o3btzI7bffzmWXXcbGjRuZO3cuf/7zn3G5XCxevJiXX35ZizyFED7irNyHu70p4J6OMxsUkqNN/k5lUNOZgtCHReOoKvY6VlSYmfAQk/QxiWHrqDY3KSkp4YMPPuDDDz+kvLyc5ORkfvWrX3HuueditXY9mXHxxRfzhz/8gX/+85/8+te/1jRpIYR22vdsRDEFYYpL9Xcq3baU2MiIM6PXBcaM12BmjLLirPZ+PyZFUUhPDGe7FEximDqqgumkk07CbDZz4okn8re//Y05c+b0ed2IESMoLi72Jj8hhI/Z9mzEnDQSRaf3dyoA2Bwedld28LPJEf5OZUgwRlnp2J+Pq60RQ2iUV7EyrOF8uqYIR6cbszEw/n8RYqAcVcF0++23c+aZZxIWFnbI66655hquueaao0pMCOF7rpZ6nNVFRM4919+pdNteZsOtwiir9C9pwRCVACg4a4q9L5gSw3G7VXbvb2RSVmA8ICDEQDmqHqYvvviCmpqaPj9XUFDAGWec4VVSQoiBYdubC4oOc9JIf6fSLa/YRmyoQY5D0YjOaPmhj8n7xu+E6GAsZr30MYlhqd/vSBs3bkRVVQDWr1/Phg0baGjo/bTEN998Q2lpqXYZCiF8xrZ3I6a4NHTmYH+nAoCqqmwusZGVYPF3KkOKMSpBk4JJp1NIS+jqY/qlBnkJMZj0u2B69913Wbp0KYqioCgKd911V69rDhRUp59+unYZCiF8wtPpwF60jdBJC/ydSreyhk7q29ycPFmW47RkjErUro8pMZyVeWW43R70etlUVAwf/S6YbrvtNs455xxUVeXSSy/ljjvuYOTIntP4Op2O8PBwRo0apXmiQghtdezP79rdO3m0v1Pplldiw6CHdDlwV1PdfUzVRZoUTF+uc1NU2cLIlEhN8hNiMOh3wRQWFsbMmTMBeO2115gwYQIhISE+S0wI4Vu2vZvQh0RiiIjzdyrd8orbyYg1Y9TLdgJa0hnNGMJicFQXE5w1zatYKfGhGPQK+fvqpWASw0q/C6alS5eyYMECoqKiqKiooKKi4pDXn3XWWd7mJoTwEVVVse3diDl5VMDs7m13eiio6GDRpHB/pzIkGTTqYzLodaTEh7FjXz1nHpulQWZCDA79LphuueUW/vvf/xIVFcUtt9xyyGsVRZGCSYgA1tlQgauphrApi/ydSrdtpTbcHhglDd8+0bUf0w5N+pjSreFs3lOLqqoBU3AL4Wv9LpiWL19OXFxc96+FEIOXbW8u6A2YrRn+TqVbbpGNuDAD0aGynYAvaN3HtCKvjMq6dpLiQrVJUIgA1+93puTk5D5/fYDL5aKtrY3IyEhNEhNC+I5t7ybMCZkohsA4q82jqmwqsjE+RWaXfEVnNHftx6RBH1O6NQwF2L6vXgomMWwc1TOhLpeLp556ig8//BCANWvWcMwxxzBnzhwuvfRSmpubNU1SCKEdj8NOx/58zMmB8zRrUY2DZrub0VYpmHzJGJWAs7rY6zgWs4HEuBB2yAaWYhg5qoLpySef5J///Cetra0A3HvvvURFRXHrrbeyf/9+HnnkEU2TFEJox168DTxuzEmBUzDlFtmwGBVSYwJjxmuoMkYl4m5vwtXW6HWsdGu4FExiWDmqgunjjz/mxhtv5OKLL2bfvn3s2bOHq6++ml/96lfccMMNfP3111rnKYTQiK0wD314DIawaH+n0i23qJ2RCRb0Omkg9iVDVDwHzpXzVkZiONUNNuqb7V7HEmIwOKqCqaamhuzsbABWrlyJTqfj2GOPBcBqtXbPPAkhAouqqtgKN2FODJyz4xraXBTVOuWw3QHQda5cFI6qYq9jZSR2bf+Qv6/3EVlCDEVHVTDFx8dTVlYGwLJlyxg3bhzR0V0/rebl5WG1WrXLUAihmc66MtwtdQHVv5Rb1I5OgZGyncCAMEYm4Kz2fj+msGATcZFBbN9Xp0FWQgS+oyqYzjzzTO677z5+85vfkJuby7nnngvA3//+d5588knOOOMMTZMUQmjDVpjXtZ1AfIa/U+m2YV876bEmgs1yLtlAONDH5G5v8jpWujVM+pjEsHFU71DXXXcdl19+OYqicNNNN3HRRRcBsG3bNi6//HKuvvpqTZMUQmjDVnhgOwGjv1MBunb33l5qZ3SizC4NlK4+JnBo8LRcRlIE+6taabU5vY4lRKA7qh3iFEXhqquu4qqrrurx+ltvvaVJUkII7XmcdjpKdxI+NXB2995cYsPlgbFSMA0YnSkIfWgUzupigkdM8SpWZmI4KrCzqIGZE6QVQwxtR72lbmtrK2vXrsVms6Gqaq/Py9EoQgQWe8kOcLsCajuB9YXtWCOMRIbI7t4DyRhlxaFBH1NkmJmIUBPb99VLwSSGvKN6l1qxYgXXX389dnvfj5PKWXJCBB57YR76sGj0AbKdgMutsqnYRs6IYH+nMuwYoqx0lO7EbWtGHxxx1HEURSEjMZzthdL4LYa+oyqY/vGPfzBixAhuvfVWEhIS0OmkWVOIQGcrzMOcmBUwh6Xml9uxOz2yHOcHxqgEAJzVJQRlTvYqVkZiBB+t2ofd4SLILDOFYug6qv+79+3bxzPPPMOMGTO0zkcI4QOdDZW4mqoJyz7B36l0W1fYTlSIHmtkYDSgDyc6UxD6kCgc1UVeF0yZSeF4PCoFxQ1MHROvUYZCBJ6jmhpKSkqira1N61yEED5i27cZdHpM1kx/pwKAx6Oyfm87Y5MsATPjNdwYoxI0eVIuLjKIkCCjbC8ghryjKpiuuuoqnn766e7NK4UQgc1WmIcpLg2dMTB20y6o7KDZ7mZcUpC/Uxm2DNFW3K31uG3enczQ3cckBZMY4o5qSe6jjz6iurqaRYsWER0djcXSswdBURS++uorTRIUQnhHdXXSUbyN0EnH+juVbuv2thMepCMlWpbj/MUY+UMfU00xQRmTvIqVkRjOl+tKcHa6MRn1WqQnRMA5qoLJarXK8SdCDBIdZQWoLmfAbCfgUVXW7W1jTGKQLMf5kc4cjD4kEke19wVTZmI4nS4Pu/c3MjErVqMMhQgsR1Uw3XfffVrnIYTwEdu+zeiCwjD8MKPgb4XVDhra3ZyRLE/H+ZsxKgFnlff7MVljQrCY9WzfVy8FkxiyvNoPoLCwkNdee42HH36Y6upqNm7cKM3gQgQYe2Ee5sQRATObs2ZPG6FmHWmxJn+nMuwZoqy4Wutw271739bpFNKt4WzbK/sxiaHrqGaY3G43d955J++99x6qqqIoCqeccgpPP/00paWlvP7667JkJ0QAcLU14qwpIXJUYGwB4lFVvt/dxrhkC7oAKeCGM2Nk1/u0s6aIoHTvl+W+zi2l0+XBaJC9+cTQc1T/V//zn//ko48+4p577mH16tXdR6P86U9/wuPx8Oijj2qapBDi6Nj3bQHAlDjCz5l02V3ZQUO7mwkp8nRcINBZgtEFh+OsKvY6VmZSBM5OD3tLm7yOJUQgOqqC6b333uO6667j3HPPJTIysvv1sWPHct1117F69Wqt8hNCeMG+bzPG6CT0llB/pwLA93u6no5Li5HluEDRda5csddxkuJCMRv1bN8ny3JiaDqqgqmuro5x48b1+bmEhARaWlq8SkoI4T1V9WDbtwVTYpa/UwG6Nqtcs6eNccnydFwgMUZZcbXU4u7wro9Jr1NIs4axvVD2YxJD01EVTOnp6axYsaLPz61fv5709HSvkhJCeM9ZVYTH3oI5aaS/UwEgv7yDZpubibIcF1CMUT/0MVWXeB0rMymC/KJ63G6P17GECDRH1fR96aWXcscdd9DZ2cnxxx+PoiiUlJSwbt06XnrpJW655Rat8xRCHCHbvi0oRjOm2BR/pwLA6t2tRIXoSY6SzSoDic4S0tXHVF1EUPoEr2KNSArny3VuCsubGZ0WpVGGQgSGoyqYzj//fBoaGnj22Wd54403ALjxxhsxGo1cccUVXHjhhZomKYQ4cvZ9eZjiM1D0/j9BvtOlsmZPO9Mzg2U5LgB19TF5vx9TclwoJoOO7YV1UjCJIeeo30mvvPJKzjjjDNavX4/BYCAsLIzs7OweTeBCCP/wOOx0lO0ifPpJ/k4FgLySdmxOD5NSZTkuEBmjrDjKd+PuaPPqAQG9Xkd6Yjhb99ZxzvGBsbO8EFo54h6mjz/+mMWLF5Odnc3ChQu59dZbuf3223nttdfYuHHjESfg8Xh44oknmD9/PtnZ2Vx++eWUlPz0WnpjYyM33XQTOTk55OTkcPvtt2Oz2fq8dsOGDX02px9JDCEGI3vJdvC4MScGRv/SyoJWEiONxIXLclwgMkYdOFdOmz6mHfukj0kMPf0umDweDzfeeCN/+MMf2L9/P6eeeiqXX345l19+OQsXLmTPnj1ce+21R9y/9Mwzz/DWW29xzz338Pbbb6MoCldeeSVOp7PP66+77jpKS0t55ZVXeOKJJ1i9ejV33XVXr+vWrVvHNddcg8fT+y9tf2MIMVjZ921GHxqFPiza36nQ7nCzqcgms0sBTGcJ/aGPqdjrWCOSwulwdvUxCTGU9HtJ7o033uDzzz/nlltu4Ve/+hU6Xc9ay+Px8Oabb3Lvvfcyf/58TjvttMPGdDqdvPTSS9x8880sWLAAgEcffZT58+ezbNmyXjHy8vJYv349n376KVlZXY9K33333VxxxRXceOONJCQk4HK5uP/++3nzzTcZM2YMO3bsOOIYQgx2tn2bMSdmBUS/0No97bg9yNNxAc4YacWhwblyB/qYtu2VPiYxtPR7hmnJkiX88pe/5LLLLutVLAHodDouvvhifvGLX/Df//63XzELCgpob29n9uzZ3a+Fh4czfvx4NmzY0Ov6jRs3EhcX113oAMycORNFUcjNzQXAZrOxfft2XnrpJRYvXnxUMYQYzDqbqnE1VgXMctyKglYy402EBen9nYo4BEOUFVdzjff7MR3UxyTEUNLvgqm4uLh7FuhQ5s+fz759+/oVs6qqCoDExMQer8fHx1NZWdnr+urq6l7XmkwmIiMju68PDw/nrbfeYtasWX2O2Z8YQgxm9n1bQNFhsmb6OxWqmjopqOhgSnqwv1MRh2GK1q6PacQP+zG5pI9JDCH9LpjsdjsRERGHvS4qKoqGhoZ+x4SuguVgZrMZh8PR5/U/vvZQ1//UmN7GECKQ2QrzMMWmoDNZ/J0KKwpaMRsVxib6PxdxaN19TBosy2UmRdDhdLO3rMn7xIQIEP0umFRVRa8//JS6Tqfrs9G6LxZL15vojxu8HQ4HQUG9+x0sFkufzeAOh4Pg4P79BKtFDCEClepxYy/eFhDHoXhUlW/zW5iQHCSn1w8S2u3HFILZqGebLMuJIcSv72IHlsZqamp6vF5TU4PVau11vdVq7XWt0+mkqamp383aWsQQIlA5KvagOu0BcRxKfpmd+jY32enS7D1YGKOsuJo1OFdOryMjMZwte2o1ykwI/zuijSv/+te/Ehp66E3N2tr6/xdt7NixhIaGsm7dOtLS0gBoaWkhPz+/z4btnJwcHn74YUpKSrrPq1u3bh0A06ZN69eYWsQQIlDZCjejmIIwRif5OxW+yW8lJlRPanTvJXARmP53rlwxQekTvYo1IjmC5Rv30+lyYzRIw78Y/Po9w5STk0NISAiqqh7yIyQkhBkzZvQrpslkYvHixTz88MMsX76cgoICbrjhBqxWK4sWLcLtdlNbW0tHRwcA2dnZTJs2jRtuuIGtW7eydu1a7rzzTs4666x+zw5pEUOIQGXftxmzdQRKH0+yDqR2h5u1e9uZki5HoQwm/ztXrtjrWFnJETg7PewqafQ+MSECQL9nmP7973/7JIHrrrsOl8vFX/7yFzo6OsjJyeHFF1/EZDJRVlbGwoULue+++zjnnHNQFIWnnnqKu+66i0svvRSz2czJJ5/Mrbfe2u/xtIghRCBy29twVO4lYuYZ/k6F7wracHtUstOkL3CwMUVZcVT170nnQ7HGhhBsNrB1bx0Ts2I1yEwI/1JUVVX9ncRgt3DhQgCWL1/u50zEcNa283tqljxC/Nk3oA+J9FseqqryxzfKCDLp+OUc/+80Lo6Mo2ofbdtWkHDuzeiDwryK9Z8vClBVlQf+33yNshNCW0fy77c8uiLEEGHftwVDRJxfiyWAfTUOSuqdTM2Q2aXB6H99TN4/LTciOYJd+xvpcLi8jiWEv0nBJMQQoKpq1/5LAbCdwPIdrUQE6RlpNfs7FXEUdOZg9CFRmhyTkpUcgdutkl/Uv735hAhkUjAJMQR01pfjbq33+3EodqeHVbtayU4PQifN3oOWUaM+prjIIMJDTGzdK9sLiMFPCiYhhgD7vs2g02NKSPdrHt8VtOJ0qUzPCPFrHsI7hmgr7rZG3LZmr+IoisKI5AjydkvBJAY/KZiEGAJs+zZjik9HZ/DfnkeqqvLFthZGWy2EB8u+O4OZMdoKKJosy41MjqSovJnmNjl6SgxuUjAJMch5XE46SnZg9nP/0q7KDkrrncwYIc3eg53OaEEfFq3JslxWSgQqsK1QjkkRg5sUTEIMch2lO1FdTr8fh/LlthaiQ/SMiJdm76HgQB+TtzvPRISaiY8KYrMsy4lBTgomIQY5+77N6ILCMET6b6f6JpuLtXvamJ4ZIjt7DxHG6EQ8thbcbd4/4TYiOVLOlRODnhRMQgxytsLNmBOz/FqofLW9BUVRZO+lIcQQmQCKTpNluZEpEVTV26iqb9cgMyH8QwomIQYxV2sDnbX7/bqdgMutsmxbC5NSgwgyyVvKUKEzmjBExOKo9L5gykyKQFGQWSYxqMm7mxCDmH3fZkDBnDjCbzmsL2ynsd3NzCzZSmCoMUYl4qzeh6p6vIoTZDaQGh9G3i4pmMTgJQWTEIOYrTAPY0wSOov/ipXPtjSREWsiIcLotxyEbxijE/E47HQ2Vnsda2RqJJv31OL2yPGlYnCSgkmIQUr1uLEXbfXrdgKF1R3sqnTI7NIQZYiMA50epwZ9TKNSI2m3d7K3tFGDzIQYeFIwCTFIOSr34elo8+t2Ah/nNRMVomdMksVvOQjfUXQGjJEJmjR+p8SHYTHr2STLcmKQkoJJiEHKvi8PxWTBGJvil/HrW7u2EpiZFSLnxg1hxuhEnDXFqB6XV3H0OoWs5Ejydnm/vCeEP0jBJMQgZSvMw2zNQtH55xiSz7c2YzAoTE2XrQSGMkNMIqqrE2ddmdexRqVGsmt/E+32Tg0yE2JgScEkxCDktrfiqNiDOck//UsdTg9fbW9hanowZqO8jQxlhtAYFKMFR2Wh17FGpUTi8ahs3SvLcmLwkXc6IQYhe9FWUFW/7b/0dX4LdqeHWSOl2XuoU3S6rmNSNNiPKSrcQlxkELkFNRpkJsTAkoJJiEHIVrgJQ5QVfUjEgI/t9qh8ktfMhJQgIoMNAz6+GHjGmCQ668vxOO1exxqVGsnGndVen1EnxECTgkmIQUZVPdj25vltO4G1e9uobXVxzKhQv4wvBp4xOhFUD47qYq9jjU6Lor65g/3Vrd4nJsQAkoJJiEHGWV2Cx9bsl+0EVFXlg9wmRsSbsEbKRpXDhT44HF1wuCb7MWUmRWA06MjdKU/LicFFCiYhBhlbYR6K0YwpLm3Ax95Waqe41imzS8OQKcpKR4X3jd9Gg44RyRFs3Cl9TGJwkYJJiEHGtjcXk3UEin7g+4eWbmwiMdLIiHjzgI8t/MsQk4y7tQ53e5PXsUanRZFfXI+tQ7YXEIOHFExCDCJuexuO8l1Y/LAct7e6g+1lduaODkWRjSqHHWN0IiiKJrNMY9KicLtVtuyR7QXE4CEFkxCDiL1oS9d2AkmjBnzspRsbiQnVMy5ZjkEZjnRGM4aIOByVe7yOFR1uIS4qSJblxKAiBZMQg0jXdgIJA76dQHmDkw2FNo4ZFSrHoAxjxugknJX7UFW317HGpEWxIb8Kj0e2FxCDgxRMQgwSXdsJbPLL7NL7GxsJC9IxOU2OQRnOjDHJeDo76Kyv8DrW2PRoGlsdFJY3eZ+YEANACiYhBglnVREeW8uAF0zVzZ2s2tXGnFGhGPQyuzScGcJjUAwmHBV7vY6Vbg0jyGxgQ75sLyAGBymYhBgkbHtzUYwWTHGpAzruB7lNBJl0TM+Q2aXhTtHpMUYn0aFBwaTX6xiVFsm6HVUaZCaE70nBJMQg0b5nI+akkSg6/YCN2dDm4tv8FmaPDMFokLcLceCYlDLcDu+PSRmXHs2+8mbqm72PJYSvyTugEIOAq60RZ2Uh5uTRAzruB7lNGPQKOSPkkF3RxRSbDKqKs8r7WabRaVHoFIX1siwnBgEpmIQYBOyFeYAyoMehNLa7+Gp7C7NHhmI2yluF6KKzhKIPjaKj3PuCKchsID0xjPWyLCcGAXkXFGIQaN+zEWNcCnrLwM30fLSpCb0OZmXJ7JLoyRiTjKN8N6rq8TrWuIxotuyplV2/RcCTgkmIAKe6OrHv2zKgT8c12Vx8ubWFmVkhWEzyNiF6MsWm4HG009ng/czQhMwYOl0eNu2STSxFYJN3QiECnH1/PmpnB5aUMQM25kebmlAUmD1SDtkVvRki41EMRhwV3u/6HRVuISk2hDXbKjXITAjfkYJJiABn27MRXXAEhsiEARmvyebiiy0tzBoZQpDMLok+KDo9hugkOip2axJvXGY0G/Kr6XR5v8QnhK/Iu6EQAUxVVdp3r8eSMnrADrz9MLcJRSezS+LQTDHJdNaV4XbYvI41ITMGu8PF1r1yGK8IXFIwCRHAOmv3426pw5IydkDGa2rv6l2alSWzS+LQTLEpXdsLaLCJZUJ0MNHhFlmWEwFN3hGFCGDtuzegGM2YEjIGZLylP8wuzZHZJXEYOksIhrBY7GW7vI6lKAoTMqNZu60StxzGKwKUFExCBDDb7g2YE0ei6A0+H6uhzcWX25qZMzJUnowT/WKMS8ZZsQfV4/Y61sSsWJrbnezYV6dBZkJoT94VhQhQrtZGHJV7MQ/Q03Hvb2zEqFeYNVL2XRL9Y4xNxdPZgbN2v9exUuJDiQozs2pLhQaZCaE9KZiECFC2PRtAUbAk+37/pbrWTpZvb2HOqFAssqu36CdDeAw6czAd5d4/LacoChNHxPD9lgpZlhMBSd4ZhQhQ7bvXY4pPR2cO9vlY761vxGzUya7e4ogoig5jTAqOUu/7mECW5URgk4JJiADkcdiwF2/Dkur7p+Oqmjr5Jr+VuaNDMRnkLUEcGVNcCq7WOlyt3hc53ctym2VZTgQeeXcUIgDZ9m4Ctwtzyjifj/XOugZCLTpmjJDZJXHkDDFJoNPTocEs04FludVbK3C7ZRNLEVikYBIiALXvWocxOglDaKRPxymtd7JqVxvzxoRh1A/MxphiaNHpjRhjkrGX5msSb/KoOFranWzeI5tYisAiBZMQAcbjcmLbuwnzACzH/XdtAxHBeqZl+L5PSgxdpvg0OmvLcHe0eR0rKTaE+Kggvs0t0yAzIbQjBZMQAaajeFvXYbupvl2OK6zuYF1hOwvGhaHXyeySOHqm2BRQoEOjTSwnj4pjzfZKOhwuDbITQhtSMAkRYNoL1qEPj8EQEefTcd5c00BcmIHJaUE+HUcMfTpTEMaIeDpKd2oSb8qoOBxON+t2VGkSTwgtSMEkRABR3S7ad63Dkjrep4ft7iizs3W/nePGh6EboEN9xdBmjEvDUVmIx+XwOlZ0uIW0hDC+3STLciJwSMEkRACxl+zA09FGUPoEn42hqipvfl9PUpSRcUkWn40jhhdTfBp43DjK92gSL3t0HHm7amhq9b4AE0ILUjAJEUDad36PPiwaQ5TVZ2PkFtnYXeXghPFhPp3FEsOLPjgcQ1gM9v3aPC2XPTIWRYFvN5VqEk8Ib0nBJESAUD3uH5bjxvmskPF4umaXMuNMjIg3+2QMMXyZEtJxlO/C43J6HSvYYmRsRjTL1u9HVeWoFOF/UjAJESA69ufjsbdi8eFy3KpdbZQ2dLJwQrjMLgnNmeIzUF2dOCr3ahJv+ph49le1sresSZN4QnhDCiYhAkRb/vfoQyIxRif5JH6nS+XttQ2MTbKQHG3yyRhieNOHRKAPjcJeos2y3MjUKMJDTHy1fr8m8YTwhhRMQgQA1e2iveB7LOkTfDbzs2x7M3VtLk4YH+aT+EIAmOLTcZTtQnV7v4eSXqcwdXQcKzaV4ex0a5CdEEdPCiYhAoC9aCseextBGZN8Et/m8PDe+kampAUTF270yRhCAJgSMlBdDjq0WpYbm0B7h4vVW+VAXuFfUjAJEQDa8ldjiIjz2dNxH+c1Ye/0cNw4mV0SvmUIjepalivapkm82MggRqZE8Nn3RZrEE+JoScEkhJ95Oh2071rrs+W4pnYXH21qYuaIEMKD9ZrHF+LHzNZMHGUFmjwtB5Az3srO4kaKK1s0iSfE0ZCCSQg/sxVuQnV2EJTum+W4d9Y3otPBvDEyuyQGhikhE9XdiaPc+7PlAMZnRBMWbOLzNcWaxBPiaEjBJISftW3/DmN0IoaIWM1jVzQ6Wb69hXmjwwgyyV93MTD0weEYwmOxF23XJp5ex4xx8Xy9sRS7HMgr/ETeQYXwI7e9DdveXCyZk30S/43v6wkP0jMzK8Qn8YX4KaaETDoqduNx2jWJlzPOisPp5uuNsvO38A8pmITwo/ad34PH7ZOn43ZVdrC+0MZx48Mw6GWTSjGwzNZM8Hg0OyolMszM+BHRfLCyEI9Hdv4WA08KJiH8qHXrt5gTR6IP0ra/SFVVXvuuDmukgcmpQZrGFqI/dJYQjNGJ2Pdt0Szm3MlJVNa1k1tQrVlMIfpLCiYh/KSzsQpH+S6CMrM1j72usJ09VQ4WTYyQI1CE35gSs3DWFONqb9QkXlpCGKnxoXywslCTeEIcCSmYhPCT1m0rUIxmLKljNI3rcqv8Z3U9IxPMcsCu8CtTfBqK3qjZnkyKonDM5CS27KmjqKJZk5hC9JcUTEL4gap6aNv6DZa08SgGbc91+3JbMzUtLk6cGK5pXCGOlM5gwhiXhr1wM6qqTd/RxBExRIaZee+bPZrEE6K/pGASwg/sxdtwNdcSPHKapnHbOty8s66RqenBJETIESjC/yyJWbha6+isL9cknl6vY352Mivzyqmqb9ckphD94feCyePx8MQTTzB//nyys7O5/PLLKSkp+cnrGxsbuemmm8jJySEnJ4fbb78dm83W45rPPvuMU089lUmTJnHGGWewcuXKHp9///33GTNmTK+PQ40rhJZa877CEBGHMTZV07hLNjTS6VY5Xg7YFQHCEJ2IzhyCrTBPs5jTx8YTYjHy3jfanFcnRH/4vWB65plneOutt7jnnnt4++23URSFK6+8Eqez7y31r7vuOkpLS3nllVd44oknWL16NXfddVf359euXcvNN9/MRRddxNKlS5k3bx6///3vKSz8X5Pgrl27mDlzJqtWrerxkZKS4vP7FcJta6V993qCsqZq2pBd3dzJ51uaOWZUKKEWOQJFBAZFp8OcNLLrgGmNjkoxGfUcMzmJr9aXUN+szT5PQhyOXwsmp9PJSy+9xLXXXsuCBQsYO3Ysjz76KNXV1SxbtqzX9Xl5eaxfv5777ruPCRMmMGfOHO6++24++OADqqu7HjN9/vnnWbRoEYsXLyYrK4s//elPTJgwgVdffbU7zu7duxk7dixxcXE9PvR6+UdG+F7bjpXg8RA0Qtun415fVU+IWc8xo2STShFYzEkjUV0OOjTakwlg9gQrBoOOJTLLJAaIXwumgoIC2tvbmT17dvdr4eHhjB8/ng0bNvS6fuPGjcTFxZGVldX92syZM1EUhdzcXDweD5s2beoRD2DWrFls3Lix+/e7du1i5MiRPrgjIQ5NVVVa8pZhSRmL3hKqWdz8cjvrCts5YUIYRoPfJ46F6EEfHI4xOgnb3lzNYlrMBuZNTubT74uobZRZJuF7fn1nraqqAiAxMbHH6/Hx8VRWVva6vrq6ute1JpOJyMhIKisraWlpwWazYbVafzJeQ0MDdXV1bNiwgdNPP717ya6oqEjLWxOiTx2lO+msLSV49AzNYnpUlVdW1pEcZWSSbFIpApQ5aSTOmhJcrXWaxTxmciJmo57/Lt+tWUwhfopfCya7veunApOp52PVZrMZh8PR5/U/vvbg6zs6Og4bb/furr9Yer2eBx54gEcffRSbzcZFF11EXZ12f5GF6EtL7ufow2MxWTM1i7liZyvFtU5+NjlcNqkUAcuUkI5itNC+R8NZJpOB+VOSWbauRJ6YEz7n14LJYrEA9GrwdjgcBAX1/knZYrH02QzucDgIDg7GbDYfNt7s2bNZv349DzzwABMmTCAnJ4enn34aj8fDkiVLNLkvIfriamukvWAtIaNmoCja/NWzOTy8sbqBiSlBpMXIJpUicCk6A+akLOx7N2nW/A0we2IiwRYj//5sp2YxheiLXwumA8trNTU1PV6vqanptawGYLVae13rdDppamoiISGByMhIgoODDxsvIiKix+eDg4NJSUnpbhwXwhdaNy9HUXQEjZiiWcz3NzZic3o4caJsIyACnyV5DB6nXdPmb5NRz4k5qazMK2f3fm2OYBGiL34tmMaOHUtoaCjr1q3rfq2lpYX8/HxmzOjd45GTk0NVVVWP/ZIOfO20adNQFIVp06axfv36Hl+3bt06pk+fDsAbb7zBrFmzupfvANra2iguLpZGcOEzqttFS+4XWDImoTNr02dU1dTJJ3lNHDMqhIhggyYxhfAlfUgExpgk2netP/zFR2D62ASsMcG88ME2zXYUF+LH/FowmUwmFi9ezMMPP8zy5cspKCjghhtuwGq1smjRItxuN7W1td3FTXZ2NtOmTeOGG25g69atrF27ljvvvJOzzjqLhIQEAH7961/zySef8PLLL1NYWMiDDz7Izp07ufTSSwE4/vjjUVWVP/7xj+zZs4dt27Zx7bXXEh0dzdlnn+23PwsxtLXvXIO7rYGQcbMPf3E/vfpdHSFmPXNHa/e0nRC+ZkkeS2d9Gc76Cs1i6nQKp8zJZGdxI6u3ahdXiIP5/fnj6667jvPOO4+//OUvXHjhhej1el588UVMJhOVlZXMmzePTz/9FOg6ePGpp54iJSWFSy+9lOuvv55jjz2Wv/71r93x5s2bx7333subb77J2Wefzdq1a3n22We7tyJITEzk1Vdfpb29nQsvvJDLLruMsLAwXnvtte6eKiG0pKoqTes+xJSYhTEyQZOYm4tt5BbZWDQpXLYREIOKMS4FnSWE9l3rDn/xERiVGsnY9Che+GA7dodL09hCACiqzF96beHChQAsX77cz5mIQGTfn0/lv28n6oTFWJJGeR3P5Va56T+lmI0Kv5oXI0/GiUHHXrwNW2EeCWffhD5IuxnShpYOHn87j9PnjeDyMyZoFlcMXUfy77f8aCqEjzWv+whDRBzmRG165D7d0kxVcycnT46QYkkMSubk0SiKQvue3hsUeyM63MJx01L4YEUhxZUtmsYWQgomIXzIWVuKbfd6QsbN0aS4aWhz8e66BnJGhJAQYdQgQyEGns5oxpw4Ctuu9XjcnZrGnj8lmdhIC0/+Nw+3RxZQhHakYBLChxq/X4IuOIKgTG3OjXvtuzr0OoXjx8k2AmJws6SNw+Nox160VdO4Br2OsxeMZM/+Jj5YIefMCe1IwSSEj3Q2VtG+YxWh449B0Xv/2P/2Ujvf72nnxInhWEzyV1cMbvqQCIzx6bTvWI2qejSNnZ4YztzsJF7/vIDS6lZNY4vhS951hfCRpjUfoDMHETxymtexXG6VF7+tJS3GRHaanBcnhoag9Im4WuvoKC3QPPaimWlEhpr5xxu5dLq0LcjE8CQFkxA+0NlUQ+uW5V29S4be5x8eqY82NVHZ1MmpU6TRWwwdxsh4jFGJtO34TvMNJ40GPecvHMW+ihZel2NThAakYBLCBxq/+y86UxDBY2Z5HaumuZP31jcya6Q0eouhJyhjEp315TirizSPnRIfxkmz0lny7V42FdQc/guEOAQpmITQmLO+grZt3xI6cR46L2eXVFXlpRV1BJl0HCeN3mIIMsQkYQiLpXXrtz6JPzc7idFpkTz8n1xqGm0+GUMMD1IwCaGxxpVvoQsKJ3hU7/MQj9S6ve1sKrZxcnY4JtnRWwxBiqIQNCIbZ00xDh/MMukUhfNPGI1Br3DfK+txdro1H0MMD/IOLISGOir20p6/mrBJx6LovVs+szncvLSijrFJFsYmSaO3GLqMcakYwmJo3fK1Tw7PDQkycvFJYympauXpd7fIAb3iqEjBJIRGVFWlftnLGCITCMqa6nW8N75vwOb0cPLkCA2yEyJwdc0yTcFZU+KTXiaApLhQzl6QxdcbS3n36z0+GUMMbVIwCaGR9oK1OMoKCJ9+EopO71Wsggo7X25r4YTxYUQEexdLiMHAGJeKITyWlryvfDYDNGV0PAtnpPLapztZsanMJ2OIoUsKJiE04Ol00LD8NczJozEnZnkVy+ny8OzyWlKijeRkhWiUoRCBTVEUgkdOp7O+jI4y320DcMKMVKaOieOxtzaRt0uenBP9JwWTEBpo+n4JrtZ6wqed5HWs9zc2Ud3cyRnTItHJnktiGDHGJGGMTqI17ytU1TfN2YqicPaCkYxIjuTvL69nZ1GDT8YRQ48UTEJ4yVlXRtP37xM6YR6GiFivYhXXOli6oZG5o0OJD5c9l8TwEzxqOq6WOmx7N/tsDINex0U/G0NSXAh/fWENe0obfTaWGDqkYBLCC6qqUvf5v9CHRBA6cb5XsVxulWeW1RAbbuDYsbLnkhieDOGxmKwjaN2yHE+nw2fjmIx6LjllHLERQfzl2e/ZvV+KJnFoUjAJ4YXWvGV0lOwgYubpXm8j8OGmJvbXOzlzWiR6nSzFieErZNR0VGcHbdtX+nQci8nAZaePJzayq2jKL6r36XhicJOCSYij1NlYRf1XrxA8crrXjd776xy8s66BOaNCSYry/uw5IQYznSUUS8YE2nZ+j6vVtz1GFpOBX582HmtMMLc/9z25BdU+HU8MXlIwCXEUVI+b2o+fRmcOJmy6d43eLrfKU1/WEBNqkONPhPiBJWMSOqOFltzPfT6W2WTgstPGk5Ucyd9eXMfXG0t9PqYYfKRgEuIoNH3/Ph37dxIx++fojGavYi3Z0Mj+eidnTY/EoJelOCEAdHojwWNy6CgrwF62y+fjGQ16LjppLFNGx/Hom5t4+6tdsiO46MHg7wSEGGzs+/NpXPkWoRPnY7ZmehVrb3UHSzY0Mn9MKImyFCdED6b4DIwxSbRs+ASzNdPrw6wPR69TOOe4kUSGmXn9swIqa9v5/fnZGA2yeayQGSYhjoi7vZmapY9iiksjdPJxXsVydHp48osarJFG5stTcUL0oigKIWNm47a30rZtxYCNuXBGGucvHMWKvDJue/Z7mlp997SeGDykYBKin1R3J1XvPYTa6SRy7rleH3/y+up66lpdnD0jSp6KE+In6EMiCMqYTFv+apwNlQM27tTR8Vxx5kRKq1q54bEV7C1rGrCxRWCSgkmIfqr/8mUc5buJOvYX6EO8OxB3U3E7X2xt4cSJ4cSGycq4EIcSlDkJfWgEzWveR/X4ZgfwvqRZw7nmvGwsJj1/fPI7vsmVZvDhTAomIfqhef3HtGz6goicUzHFp3sVq6ndxdNf1jDKaiZnRLBGGQoxdCk6PSHj59LZVE1b/uoBHTsy1MyVP5/IpKxY/vHGJp57fyudLs+A5iACgxRMQhxGW/5q6pe9TMj4uQSPmuFVLI+q8vSyGlTg59MiUeSsOCH6xRgehyV9Iq1bvsbZWDWwYxv0nHv8SM6cP4LPvi/m1mdWUddkH9AchP9JwSTEIdj2baHmwyewZEwmbOqJXsf7JK+ZLfvt/HxaJCEWefJGiCMRnDUVfWgkTavfxePuHNCxFUVh9sRErvz5JKrq2/m/f3zLlt21A5qD8C8pmIT4CfaSHVS/cz/mhEwi5/wcRfHur8ueqg7eWF3PnFEhjLRaNMpSiOFD0ekJnTAfV3MdrZu/9ksOadYwfn/eFOKjgrn9X9/z9rJdeDyyX9NwIAWTEH2w799B1dt/xxibStSCX6LovWvMbne4eeyzaqyRRhZOCNcoSyGGH0NYNMEjp9O+czUdFXv8kkNokJHLThvP8dNT+c/nBdz1wlpa2p1+yUUMHCmYhPgR295NVL3xN4wxyUQfd4HXh+qqqsozy2po7XBz7kzZQkAIb1nSx2OMSaZp9RLctla/5KDTKZyYk8Zlp49nV0kD//fIN+wq8e25d8K/pGAS4iBtO76j6p37MSVmEX38RSga7Cz8SV4zG/bZ+Pn0SKJCZAsBIbylKDpCJ84HVBpXv4uqDtxWAz82KjWK358/heAgI396ehUffbdPjlQZoqRgEoKuWaCm79+nZuljBKVPJOrYX3g9swRQUGHnPz/0LY1NCtIgUyEEgM4UROjEY3HWFNO6+Ru/5hIZauaKMycye4KVfy3dxkOvb8TWMbBN6cL3pGASw57q7qT203/S8M3rhE5aQMQxZ3u9izdAY7uLRz6tJiXGJH1LQviAMTqR4JHTaNuxEntZgV9zMeh1nDZ3BBf+bAzrd1Rz0+MrKa32z3Kh8A0pmMSw5mprouL1O2nb+i0Rc84iLPsETfZGcrlV/vFpFR6PynnStySEz1jSJ2GMT6dp1Xt0tvj/Mf9JWbFcc+5kOl0ebnhsBau2lPs7JaERKZjEsNVRVkD5i3+gs76cmEW/JjhrqmaxX/2ujr3VDs6fFU2o7LckhM8oikLo+HnozEE0fvMGbqf/N5SMiwrmd+dMZnRaFA+8tpGXPtqB2y27gw92UjCJYUdVVZrXf0zFv+9AFxxO7ClXYYpL1Sz+V9tb+GJrCydPjiA1xvumcSHEoemMJsKyT8Btb6Ppu3f82gR+gNmo54ITR3PaMZl8sKKQ2/+1huY2h7/TEl6QgkkMK25bK9Xv3N911MmYmcSceCn6YO36iwoq7Lz4bS0zMoOZMSJEs7hCiEPTh0QQNvk4HFX7aNnwWUA8qaYoCnOzk7j8zAkUlTdz/aMr2FvW5O+0xFGSgkkMG/bibZQ9fyP2/flEHXcR4dNP1qS5+4Ca5k4e+riKlGgTJ2dHaBZXCNE/xpgkQsbOpn33etoL1vg7nW4jkiL4/XnZWEx6/vjkd3ybW+rvlMRRkE1hxJCnujppWPkWzWs+wJSQQczcX2s6qwRgc7i578NKDHqFX8ySJm8h/MWSMga3rYWW3C/QB0cQlD7B3ykBEBFq5sqfT+KDlYU88sYmCsubuey08ej1Mm8xWEjBJIY0Z+1+apY+hrOujLCpJxIy7hgUnbZvUC63yqOfVVPf5uLyBbEEm6XJWwh/Ch41HY/DTuPqd9FZgjEnZPo7JQCMBh3nHj+SxNgQPly5j+LKFv50yQxCg6XXcTCQ0lYMSarHTdPaDyh78WY8TjuxJ19J6IR5mhdLqqrywje1bCu1c/6saOLCvd/sUgjhHUXRETphLsbIBBq+eQNnfYW/U+qmKApzJydx2enj2V3SyE2Pr6SsRvZrGgykYBJDTmdjFRWv30nD8n8TMjqH2FN+izE60SdjLdnQxNf5rZw5LZIR8WafjCGEOHKKTk9o9vHog8No+Po1Opv9v0fTwUamRHL1uZNxe1RufGwlG3dW+zslcRhSMIkhQ1VVWjZ9SdnzN+JqrCL6xEu7Grs1OOKkL8u3t/D22gaOGxdGdnqwT8YQQhw9ncFE2LRFKEYz9ctfxdUWWIfjxkQEcdXZk0i3hnH3i2tZumJvQDzdJ/omBZMYElwt9VS9dQ91nz2HJX0Csaddjdnqu76FDYXt/OubWmaMCObYsaE+G0cI4R2d0UL41J8BUPfly7jaG/2cUU8Wk4HFJ49j/pRkXvxwB4+/lUeny//7SInepGASg5qqqrRt/46yf12Po7KQqOMvJnL2z9EZfbc8tr3UxqOfVzEuycIp2RGaHKUihPAdnSWYiOknASr1X76Cu73J3yn1oNMpnDw7g/MXjmJFXjm3/fN7mlplk8tAIwWTGLTcthZqljxCzQePYUrMIu70a7Akj/bpmLsrO3jgoyrSY82cPSMKnRRLQgwKOkso4dNOQvW4qPvyJVxtgTXTBDB1dDxXnDmRsppWbnhsBUUVzf5OSRxECiYxKLXv3kDpc9djL9pC5PxfEDXvPHRm3/YR7atxcO8HlSREGPnlrCgMeimWhBhM9EGhRMw4GVX1UPfli7ha6/ydUi9p1jCuPjcbk1HHzU9+x5ptgfOE33AnBZMYVDwOGzUfP0P1O/djjEog9rRrBmRjuqIaB397v4LoUD0XHhON0SB/dYQYjHSWUCKmn4yi6Kj7/EU6m6r8nVIvkaFmfvvzSYxKjeTeVzbw1rJd0gweAORdXwwa9v07KHv+RtrzVxEx60yijrsIfXCYz8fdV+Pg7vcriAjWc/ExMViM8tdGiMFMZwkhfMbJ6EwW6r98CWftfn+n1IvJqOfCRWM4MSeN/3xewP2vbaDD4fJ3WsOavPOLgOdxOalf/iqV/74TxRxM7Km/I3jU9AFptt5T1cHdSyqIDNazeG4MFpP8lRFiKNCZggibfjL64Ajqv3oVe9kuf6fUi6IonDAjlYtPGsvGndXc/OR3VDfY/J3WsCXv/iKgOaqKKH/pjzSv/4SwqScSc+JlGMKiB2TsHWV2/vZ+BbFhBi6ZF0OQFEtCDCk6o4mwaT/DEJNE44o3ad+T6++U+jRhRAy/O3syLe1Obnj0W7bsDqxNOIcL+RdABCTV46Zx9RLKX/4TqquT2FOu8snRJj9lQ2E7f/+ggqQoIxfPjcYsy3BCDEmK3kDYpOOwJI+med0HtOQtQ1U9/k6rF2tMCNecO5mE6BBu/9f3vP+tbHI50OTwXRFwOhsqqPnwSRwVewgZP4+wyceh6Afuf9Xl21t4/ptaxiZZOHuGPA0nxFCn6HQEj52NLiiMth2rcLXUEzn3HHSGwDoUN9hi5LLTxvPluhJe+mgHu/c3cu0vphBskTMsB4L82CwChqp6aN7wKWXP34SrpZ6Yn11O+NQTB6xYUlWVt9Y08NzXtUzLCObcmVIsCTFcKIpCUMZEwrJPwFGxh/ovXsBtC7x9kHQ6hZPnZHDhz8awIb+amx5fyf6qFn+nNSxIwSQCQmdTDZX/+Sv1X75I0IgpxJ72O0xxaQM2vtPl4fHPq1myoZGFE8I4dUqEbEopxDBkik8jPOdU3PY2aj95Fkd1kb9T6tOkrFiuOXcynS4PNz62kq83Bt6TfkONFEzCr1TVQ/PGzyn71w101pUTvfBSImaeNqBT4Q1tLu58t4IN+2ycNzOKeWPC5LgTIYYxQ1g0EbNORx/S9QRd245VAdkvFBcVzNXnTGZCVgyPvpnHo29uwi5bD/iM9DAJv+lsqKT2k3/SsX8HwaNmEDZ1ETqTZUBzyC+38+in1aioXHZsDElRgdWzIITwD50piLCpJ2Lbu4mWvC9x1hYTMecc9D4+UeBImYx6zjt+FCOSIvjwu0J2Fjfwx8UzGJka6e/UhhyZYRIDTvW4aVqztGtWqaGC6BMvJWLWGQNaLHlUlY82NXH3kgqiQvVceXycFEtCiB4UnZ6Q0TmETTkRR1UJtZ88E7BLdNPGxPP/zpuCToE/PLGS/361G7cn8GbFBjOZYRIDqqN8D3WfPouztoSQsbMJzT5hwJ9EabG5eXpZNXkldo4ZFcLCCeHodLIEJ4Tomykulcg5Z9K2/Tvql71C6IR5hE0+fkCf3u2P2Mggrjp7Mss3lPL6ZztZn1/F9RdMJSXe9yciDAeB9d0WQ5bb3krDt2/QumkZxuhEYk6+ElNM8oDnkVvUzrNf1eLyqFx0TDSjrAO7BCiEGJx0llDCpp1ER8l22vJX01G+i8g5Z/vlfexQDHodJ81OZ2x6FO99u5frHvmWi08ay1kLstDrZVHJG1IwCZ9SPW5a876iYcUbqC4X4TNOInj0TBSdfkDzaOtw89p3dXy7s41RVjNnTosk1DKwOQghBjdFpyMoczLG2BTadqyi7vPnCRk3h7DJxwfcnk3pieH8v/Oy+WrDfl79NJ8VeWX8v/OnMDotyt+pDVpSMAmfsRVtoWHZKzhr9xM0YgphU09EHzSwU8OqqrJmTzsvr6ijw+Xh9KkRTMsIlqfghBBHzRAWTcTM0+go2UF7wVrsxduJyDkFS8q4gHpvMRn1nHpMJpNHxrJ0RSF/eHwlP5udzq9OHU94SGAVeIOBFExCc46qIhq++Tf2fVswxqV1Lb/Fpgx4HmX1Tl5aUcf2Mjtjkyycmh1BWJDMKgkhvKfo9ARlTsaUkE57wXoaV7yFOTGL8OknY4xM8Hd6PaTEh3H1udms21HJVxv2s2pzORf8bAynzc3EaJD3xP5S1EDcXGKQWbhwIQDLly/3cyb+5azdT8PKt7EVrEUfHkv4lBMxp44d8J+4mmwu3lnXyPLtLUQG6zk5O0J6lYQQPqOqKp21pbTv2YDH3krwiKmETT4OfUikv1Prpc3m5KsNpWzYWUVcVDAXnzSWBdNS0A/TB1+O5N9vmWESXuuo2EvT6vew7V6PPiSSiDlnEZQ5ecD7lFrsbj7a1MTnW5pRFFg4MZyZI0LkeBMhhE8pioIpPg1jbDKO0gLsRVuxFW0hZNQMQifMQx8c4e8Uu4UGmzhrQRZzJiWybH0Jj765iXeW7+aXJ45m/pRkaQw/BJlh0sBwnGFSPW5sezbSvO4jOkp3og+LIXTifIIyJg34o7Z1rS4+yWviq+0tqMDMESEcMzqUIJP8xRdCDDyPy0nH/p10lOxAdXcSlDmF0PFzAm6pDqC0upWvc0vZVdJIQnQwPz82ixNnphFkHh7zKUfy77cUTBoYTgWTq6WO1i3f0JK3DHdrPca4NELHHYM5ZQyKbuAKFFVVyS/v4POtzWwobMdsVJiRGcLskSEEm2VNXgjhfx6XE0fZLjr278TjaMeUkEnI6BwsqWNRdIFVkFTUtrFiczk7CuuxmPWcMCOVk+dkkG4N93dqPiUF0wAb6gWTp6Od9t3rad2+ko6ibSgGI5b0CYSMnokxJmlAc6lp7mTV7ja+yW+hutlFXJiBGSNCmJIehMkgM0pCiMCjetw4q4vpKNuFq6kanTmEoMxJBGVmY4xOCqgn65paHazbUUluQQ1t9k5GpUayMCeNedlJRISa/Z2e5gZVweTxeHjqqad45513aGlpYfr06dx5552kp6f3eX1jYyP33HMPK1euBODkk0/m1ltvJTj4f+f7fPbZZzz55JOUlpaSkZHBzTffzLHHHntEMY7EUCyYXC312Ao30b5rHfbibeB2Y0pIJyhjMpaMieiMA/MXR1VVKho72bCvnXV72ymscWDUK4xPtjAlPZj0WFNAvdkIIcShuNoacJTvxVm1D4/Tjj40Ckv6BIKSx2KMS0ZRAmOG3OX2sLO4gbxdNeze34SKyqSsWOZMSiRnvJWE6MA6U+9oDaqC6amnnuKNN97gvvvuIyEhgYceeojS0lI+/vhjTKbe+0RccsklOBwO7rzzTlpaWrjtttvIycnhgQceAGDt2rVcccUV3HLLLcyZM4d3332X119/naVLl5KVldWvGEdqKBRM7vZmOsp2YS/Zjr1oK511paAomOLSsaSNw5I6Dn3IwDQuNrS52FlhZ0dZB5tLbNS1ujDqFbLizUxICWJ0ollmk4QQg5rqceNqqMJRU0xn7X48zg50piBM1kzM1hGY4jMwRMQFxA+E7fZO8ovq2VZYT1FFM26PSlJcCFNHxzNpZCwTMmOIDBucs0+DpmByOp3Mnj2bm2++mQsvvBCAlpYW5s+fz7333stpp53W4/q8vDwuuOACPv300+7iZ9WqVVxxxRWsWLGChIQEfvOb3xAeHs6jjz7a/XUXXHABo0eP5u677+5XjCM1mAomVVXx2Fpw1pTgqCnGWbmPjoo9uBqrANCHRHb9hU3MwpyYhc6HJ3Orqkpju5v99U5K6hwUVjvYW+2grtUFQFyYgcx4M1nxZjLjzRjlaTchxBCkqh5cLfV01pXS2VCFq7kWVA86UxDGmCSMMSkYo60Yo6zoQyP9OgvV4XSxp7SJvWVN7Ctrpr6lA4CE6GDGpEcxMiWSjMRwMpLCiQw1B0TBdyiDZluBgoIC2tvbmT17dvdr4eHhjB8/ng0bNvQqmDZu3EhcXFx3oQMwc+ZMFEUhNzeXk08+mU2bNnHLLbf0+LpZs2axbNmyfsU49dRTfXGrA0ZVVVSHDVdbI+7WBlwtdXQ21+JqrKKzoZLOhgo8He0AKHojhmgrpvg0QsfPxRiXhiE0UtNc2h0emtrdNLS7qGt1Udvqorq5k8rGTiqanNidXfW6yaBgjTAyymrm+PFhpMWY5OgSIcSwoCg6jBFxGCPiIKurWdzdXEdnU3VXe8Tu9Xic9q5rdQYM4THow6LRh8dgCIlEHxyBLiQCfVAoOnMwiuK7GXiLycCkrFgmZcUC0NzmoLiyhdLqVoorW1i7rRKnywNASJCRlPhQEmNDsEaHEB8VRGxkEDERFqIjggixGAK+oDqYXwumqqquWY3ExMQer8fHx1NZWdnr+urq6l7XmkwmIiMjqayspKWlBZvNhtVq/cl4h4txNGpqanC73d2VqqZUD2qnExUV1B8+fvi1qqqgerp+7fH88GtP7xiKDhRd11NsOv1B/9UD5f1Oxe1R6XSpqPyQyoH/qioe/peeR1XxHEj1x6kAOh3oFAW9DvQ6BZ3S9d9qYMvR/BkJIcRQp3q63+dV1UPXm6yHvhaJFEWBgz9Q/vcaB/77w3U6g+ZPOLs9ateHW2W3x4Pbo+JR1T7/TdApCooCOp3S/WtFOfjXdBdVJqNe8w02Kysr0ev798O5Xwsmu72rYv5xr5LZbKa5ubnP6/vqazKbzTgcDjo6On4ynsPh6FeMo2E2m3E6nUf1tYfjcdi6Z4SO2g+F1IFa6mjXYFs9QTi9/F9GBdwecKPS6fYmGyGEGG4UQP/DxyH0+21VBTq9yshbnh9++nZ7Dp+02ajXvFfKYDD0WRP0ea2mIx8hi6XruAqn09n9awCHw0FQUFCf1/dVmDgcDoKDgzGbzd3xfvz5A/EOF+NobNy48ai+TgghhBCDg18fNTqwNFZTU9Pj9Zqaml7LagBWq7XXtU6nk6amJhISEoiMjCQ4OPiQ8Q4XQwghhBDix/xaMI0dO5bQ0FDWrVvX/VpLSwv5+fnMmDGj1/U5OTlUVVVRUlLS/dqBr502bRqKojBt2jTWr1/f4+vWrVvH9OnT+xVDCCGEEOLH/FowmUwmFi9ezMMPP8zy5cspKCjghhtuwGq1smjRItxuN7W1td29SdnZ2UybNo0bbriBrVu3snbtWu68807OOuus7tmhX//613zyySe8/PLLFBYW8uCDD7Jz504uvfTSfscQQgghhDiY3zeudLvd/OMf/2DJkiV0dHSQk5PDHXfcQUpKCmVlZSxcuJD77ruPc845B4D6+nruuusuvvvuO8xmc/cu3Qf6lwCWLl3KM888Q1VVFSNHjuTmm29mzpw53Z/vTwwhhBBCiAP8XjAJIYQQQgQ6OV9CCCGEEOIwpGASQgghhDgMKZiEEEIIIQ5DCiYhhBBCiMOQgkkIIYQQ4jCkYBJCCCGEOAwpmIQQQgghDkMKJtHLM888wyWXXPKTn//LX/7CCSec0OM1j8fDE088wfz588nOzubyyy/vcfxMIOvrfm+99VbGjBnT4+PYY4/t/vxQu9+amhpuvPFGZsyYwaxZs7jppptoaGjo/vxQut9LLrmk1/f2wMfSpUuBwXu/fX1vt23bxuLFi5k6dSoLFizgwQcf7HEA+WC9V+j7ftesWcP555/P1KlTOemkk3j99dd7fH6w3W9TUxN33HEHxx57LNOmTePCCy/sceD7zp07Wbx4MVOmTOG4447jxRdf7PH1Q+1+D2hoaGDevHk9jlYDH9+vKsRBXn75ZXXMmDHq4sWL+/z8smXL1NGjR6vHH398j9effPJJdc6cOeq3336r7ty5U7388svVRYsWqQ6HYyDSPmo/db9nn322+o9//EOtqanp/qivr+/+/FC6X4fDoZ522mnqeeedp27dulXNy8tTTz75ZPWKK67ovmYo3W9jY2OP72tNTY3629/+Vj355JPV1tZWVVUH5/32da/19fXqzJkz1dtvv10tLi5WV6xYoc6ePVu9//77u68ZjPeqqn3fb15enjp27Fj1jjvuUPfu3asuX75cnTt3rvrMM890XzPY7vfXv/61euaZZ6obNmxQCwsL1b/97W/q5MmT1b1796oNDQ3qrFmz1Ntuu03du3ev+u6776qTJk1S33333e6vH0r3e0B5ebl6xhlnqKNHj1bXrl3b4+t9eb9SMAlVVVW1qqpK/c1vfqNOmTJFPfnkk/ssmKqrq9XZs2erixcv7lEwORwOderUqeobb7zR/Vpzc7M6efJk9eOPPx6Q/I/Uoe7X5XKpkyZNUpctW9bn1w61+33vvffUKVOmqLW1td2vrVy5Ul24cKHa2to65O73xz766CN1/PjxakFBgaqqg+/7e6h7PfADzoFCUFVV9d5771VPP/10VVUH372q6qHv9/e//7163nnn9bj+gw8+ULOzs1WHwzHo7re4uFgdPXq0mpub2/2ax+NRFy1apD722GPqs88+q86fP1/t7Ozs/vwjjzyinnTSSaqqDr7v7+HuV1VV9b///a+ak5Ojnn322b0KJl/fryzJCQB27NhBREQEH374IdnZ2b0+r6oqt9xyCz//+c+ZOXNmj88VFBTQ3t7O7Nmzu18LDw9n/PjxbNiwwee5H41D3W9xcTEOh4OsrKw+v3ao3e93333H7NmziY2N7X5t/vz5fPXVV4SGhg65+z2YzWbjwQcf5NJLL2XMmDHA4Pv+HupeIyMjAXjzzTdxu92UlZWxYsWK7usG273Coe+3qKiIGTNm9Hht/Pjx2O12tm7dOujuNyoqin/9619MnDix+zVFUVBVlebmZjZu3EhOTg4Gg6H787Nnz6aoqIj6+vohd78A33zzDTfffDOPP/54r6/39f0aDn+JGA5OOOGEXn1JB3vllVeora3l2Wef5bnnnuvxuaqqKgASExN7vB4fH09lZaX2yWrgUPe7e/duFEXh1VdfZeXKleh0OhYsWMD1119PWFjYkLvf4uJiZsyYwdNPP83SpUtxuVzMmzePm2++mfDw8CF3vwd76623aG9v5+qrr+5+bbDd76HudcaMGfz2t7/l8ccf59FHH8XtdjNz5kxuv/12YPDdKxz6fuPi4nrlXV5eDnQduq4oCjB47jc8PJwFCxb0eO2zzz5j//79zJs3j0cffZTRo0f3+Hx8fDwAFRUVg+77e7j7ha6+NYCysrJeX+/r+5UZJnFYBQUFPPXUUzz00EOYTKZen7fb7QC9Pmc2m3E4HAOSo5b27NmDTqcjOTmZZ599lj/96U+sWLGCa665Bo/HM+Tut62tjaVLl7Jr1y4eeeQR7r77bnJzc7nmmmtQVXXI3e8Bbrebf//731x00UWEhYV1vz6U7relpYXi4mIuvvhi3nnnHR5//HH279/PX//6V2Bo3SvAOeecwxdffMHSpUvp7OykpKSExx57DEVRcDqdg/5+c3Nz+fOf/8zChQs54YQT6Ojo6PNeABwOx5C738Px9f3KDJM4JIfDwR/+8Aeuvvpqxo4d2+c1FosFAKfT2f3rA18bFBQ0IHlq6dprr+Wyyy4jPDwcgNGjRxMXF8cvf/lLtm3bNuTu12g0EhwczCOPPILRaAQgIiKC888/f0je7wHr16+noqKCX/ziFz1eH0r3+/DDD9PS0sKTTz4JwIQJE4iIiOCyyy7j0ksvHVL3CnDmmWdSVVXFXXfdxZ///GeioqK4+eabueWWWwgLC+v+R3Mw3u9XX33FH/7wB7Kzs/nHP/4BdP2/evATj0D3PQYHBw/q729f93s4vr5fmWESh7Rlyxb27NnDU089xdSpU5k6dSrPPfccFRUVTJ06lQ8//LB7+rOmpqbH19bU1GC1Wv2RtlcURekulg44MO1dVVU15O7XarWSmZnZXSwBjBo1Cuia9h5q93vAV199xeTJk0lNTe3x+lC639zcXCZNmtTjtQN9P0VFRUPqXg/47W9/S25uLt988w0rV65k4sSJqKpKenr6oL3f119/nWuvvZZjjz2W559/vrsYsFqtfd4LQEJCwpC738Px9f1KwSQOafLkyXz55Zd88MEHLF26lKVLl3LBBRcQHx/P0qVLOeGEExg7diyhoaE99sNoaWkhPz+/VwPmYHDTTTfxm9/8psdr27ZtA2DkyJFD7n5nzJhBQUEBHR0d3a/t3r0bgPT09CF3vwfk5ub2aA49YCjdr9VqZdeuXT1eO/C9zcjIGFL3CvCf//yHO++8E51OR0JCAnq9ns8//5yUlBQyMzMH5f2+8cYb/O1vf+Piiy/mscce67HclJOTQ25uLm63u/u1NWvWkJmZSUxMzJC738Px9f3Kkpw4JIvFQnp6eo/XIiIiMBgMPV5fvHgxDz/8MNHR0SQnJ/PQQw9htVpZtGjRQKfstdNPP52rr76af/7zn5x22mkUFRVx9913c/rpp3c/OTeU7veCCy7gP//5DzfddBP/93//R2trK3/961+ZNWsWEyZMAIbW/UJX/9LevXt7FcbQ1f8wVO7317/+NVdccQWPPfYY55xzDuXl5dx1110sWLCAcePGAUPrezty5Ej+/ve/M3HiRI455hhWrVrFs88+y4MPPggMvu9tUVER9957L4sWLeKqq66ivr6++3MWi4Vzzz2XF154gdtuu40rrriCrVu38uqrr3LXXXcBQ+9+D+417Iuv71cKJqGJ6667DpfLxV/+8hc6OjrIycnhxRdfPKKfDgLF8ccfz+OPP86zzz7Ls88+S1hYGGeccQbXX3999zVD6X6jo6P5z3/+w3333ccvfvELTCYTJ554Irfeemv3NUPpfqFrN+HOzs7ux+5/bKjc77x583juued4+umnefXVV4mKimLRokX83//9X/c1Q+VeAWbNmsXf//53nn32We655x7S09N56KGHOOWUU7qvGUz3+8UXX9DZ2cmyZctYtmxZj8+dffbZ3H///bzwwgv8/e9/5+yzzyYuLo4//vGPnH322d3XDbX7PRxf3q+iqqrqdRQhhBBCiCFMepiEEEIIIQ5DCiYhhBBCiMOQgkkIIYQQ4jCkYBJCCCGEOAwpmIQQQgghDkMKJiGEEEKIw5CCSQgh+kF2YBFieJOCSQjhVyeccAK33HKL13GWLFnCmDFjKCsr0/xr/vnPf/Liiy/2K+ZLL73EH/7wh37ncDScTicnnXQSmzdv9uk4Qoj/kYJJCDEkHHfccbz99tvEx8drHvuxxx7Dbrcf9rrCwkKeffZZbr75Zs1zOJjJZOKmm27illtu6T6dXgjhW1IwCSGGhOjoaKZMmeLXIx8eeughTj31VBISEnw+1s9+9jP0ej1vvvmmz8cSQkjBJIQIAJ2dnTz44IPMnTuXKVOmcPnll1NSUtLjmo0bN7J48WKys7OZOXMmf/rTn2hoaOj+fF/La++//z6nnnoqkyZN4swzz2TNmjWMHz+eJUuW9Ii9ZcsWLrjgAiZNmsRxxx3XY/ltzJgxADz11FPdv+7L7t27+fbbbznjjDN6vL5//36uu+46Zs6cSU5ODldeeSV79uwBoKysjDFjxvDFF19wzTXXMGXKFI455hieeeYZ2tra+POf/8z06dM55phjeOihh3r1UZ1xxhm89NJLOJ3O/vwxCyG8IAWTEMLvPv30U/bs2cP999/PHXfcwbZt27jhhhu6P79hwwYuu+wyLBYLjz32GH/+859Zv349v/rVr+jo6Ogz5tKlS7nllluYNm0azzzzDCeddBLXXHMNbre717V//etfOf3003nuueeYPHkyDz74IN988w0Ab7/9NgDnnXde96/78tFHHxEXF8e0adO6X6upqeH8889n37593HnnnTz88MM0Nzdz2WWX9Sj2brvtNkaPHs0///lPZs+ezeOPP855552HxWLh8ccf54QTTuCFF17g888/7zHmKaecQnV1NevXr+/Hn7IQwhsGfycghBAJCQk888wzGI1GAEpKSnj22Wdpa2sjNDSURx55hMzMTJ577jn0ej0A2dnZnHbaabz33ntcfPHFvWI+/vjjHH/88dxzzz0AzJ8/H6PRyCOPPNLr2htvvJELL7wQgClTpvD111+zdu1ajj/+eKZMmQKA1Wrt/nVf1q5dy6RJk1AUpfu1l19+mY6ODl5++WXi4uIAGDduHL/85S/ZvHkzo0eP7s7t+uuvB2DkyJF88sknxMTEcMcddwAwd+5cPvvsMzZt2sQpp5zSHT89PZ2IiAjWrFnDvHnzDvvnLIQ4ejLDJITwu8mTJ3cXSwCpqakAtLS0YLfb2bJlCwsWLEBVVVwuFy6Xi9TUVLKysli9enWveCUlJVRUVHDyySf3eP20007rc/wZM2Z0/zo4OJjY2FhaWlqO6B5KS0tJSUnp8Vpubi5TpkzpLpYA4uPj+eabbzjhhBO6X5s6dWr3rw9cm52d3f2aoihERETQ2traa9ykpKQjejJQCHF0ZIZJCOF3wcHBPX6v03X9LOfxeGhpacHj8fD888/z/PPP9/pas9nc67UDy10xMTE9Xj+4cDlYUFBQr/GPdN+ltra2XnGampp6FVF9CQ0NPWxOPyUoKIi2trb+JSmEOGpSMAkhAlpISAiKonDZZZf1OUPUV2FhtVoBqK+v7/H6j3+vpcjIyF4zQGFhYT16lQ5Ys2YNKSkpPZbvjlZLSwtJSUlexxFCHJosyQkhAlpoaCjjx49n3759TJo0qftj1KhRPPXUU6xbt67X11itVtLS0li2bFmP17/44oujyuHAjNehJCcnU1lZ2eO1GTNmsHnz5h6FWkNDA1deeSXLly8/qlwOpqoq1dXVJCcnex1LCHFoUjAJIQLejTfeyKpVq7jppptYsWIFX3/9NVdccQXff/89EyZM6HW9oihcd911fPXVV9x5552sWrWKF154gccffxzoXwF0sPDwcPLy8tiwYcNPLtXNnTuXvLy8Hp+/7LLLMJvN/OY3v+Hzzz/nm2/+f3t3y6pYFIVx/BmMFhEVrSbxA5i0ahDBKFgs4sEgWEQRDAZN+gEEEYvJ4htiGjnFYrPoFxCTBptBJ81lZrwzh8vcA4Pz/8Ud1trxYZ2z9/6qYrEon8+ndDr9oT2853A46Hq9KhaL/XUtAH9GYALwz4tGo+r3+zqdTiqVSqpUKnI4HBoMBr89uZZKpdRsNrXZbGQYhhaLher1uqTnf6asGIah3W6nfD7/NEX6Lh6P63K5aLfbva0FAgGNRiP5/X7VajVVq1V5vV4Nh0O5XK4P7eE9pmk+XWUAwB5fHrwoCeAFzedzhcNhBYPBt7X1eq1CoaDJZKJQKPTpPQ3DkNvtVqvV+vTav3o8HorH48pms8rlcrb3A/53TJgAvKTpdKp8Pq/ZbKbtdqvxeKxGo6FIJGJLWJKkcrms1Wql4/FoS/0fLZdL3e93ZTIZ23sBYMIE4EVdLhd1Oh2Zpqnz+SyPx6NEIqFSqSSn02lb316vp/1+r263a1uP2+2mZDKpdrv90x1SAOxDYAIAALDAJzkAAAALBCYAAAALBCYAAAALBCYAAAALBCYAAAALBCYAAAALBCYAAAALBCYAAAALBCYAAAAL3wDTeGIStl84PAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data=heightData, fill=True)\n", "plt.xlabel('height (cm)')" ] }, { "cell_type": "markdown", "id": "3a1c14e9", "metadata": {}, "source": [ "There's a lot of overlap for sure, and just a hint that the men are taller than the women. \n", "\n", "But comparing all the men to all the women is wasting the power of our paired design! We deliberated measured brother-sister pairs in the hope of \"cancelling out\" shared genetic or environmental influences within families. We therefore need to ask if each brother is taller than his own sister." ] }, { "cell_type": "markdown", "id": "6ea23334", "metadata": {}, "source": [ "## Scatterplot\n", "\n", "On a scatterplot, each dot represents **two** people - a brother and sister:" ] }, { "cell_type": "code", "execution_count": 4, "id": "5ee3a8ab", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=heightData, x='brother', y='sister')\n", "plt.xlabel(\"brother's height (cm)\")\n", "plt.ylabel(\"sister's height (cm)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c277301d", "metadata": {}, "source": [ "#### Between-pairs effect (correlation)\n", "\n", "Notice that in the scatterplot, the data points are spread out along a diagonal line, or to put it another way, height of brothers and sisters is correlated across families.\n", "\n", "This means that in general tall brothers have tall sisters and this variation between families rather dwarfs the effect of interest (that within each family the brother is taller than his own sister)\n", "\n", "This feature of the plot is evidence that a paired design was a particularly good choice for this question - in the paired design, the (large) variation between families is cancelled out allowing us to detect the (small) difference between male and females.\n", "\n", "#### Within-pairs effect (pairwise difference)\n", "\n", "The family effect is actually \"noise\" in this study - what we really want to know is not whether some families are taller than others, but whether the male sibling in each family is taller than the female sibling once the family effect is accounted for (by compaaring only within families). \n", "\n", "To help us visualise this we add a **reference line**.\n", "\n", "### Reference line\n", "\n", "If all the brothers were exactly the same height as their sisters, we would expect all data points to fall exactly on the line $x=y$\n", "\n", "If brothers were roughly the same height as their sisters (with some random variation) we would expect the data points to fall equally often above and below the line $x=y$\n", "\n", "If brothers are generally taller than their sisters, most of the datapoints will fall on one side of the line (think about which!)\n", "\n", "\n", "To add the line $x=y$ we use the `matplotlib` function `plt.plot()`. The arguments of this function are the $x$ and $y$ values for the ends of the line ($x$ and $y$ both range from 150-190), and the argument 'r--' which sets the color and line type.\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "dc0b4f4e", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=heightData, x='brother', y='sister')\n", "plt.xlabel(\"brother's height (cm)\")\n", "plt.ylabel(\"sister's height (cm)\")\n", "plt.plot([150, 190],[150, 190], 'r--')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3b5b3112", "metadata": {}, "source": [ "Look at the graph - most of the datapoints fall on one side of the line (below it)\n", "\n", "* This means either than most of the brothers are taller than their sisters, or vice versa - which is it (look at the graph)?\n", "\n", "#### Exercise\n", "\n", "See if you can add another line of code to draw a red horizontal line at y=170\n", "\n", "### Reference line is not a regression line\n", " \n", "More commonly, when you see a line on a scatter plot, the line is a regression line (more detail below). It can be helpful to add other reference lines, such as the line $x=y$, but I suggest you use obvious colouring (eg a red dashed line) to distinguish them from a regression line, and **clearly state in the figure description** (ie the text under the figure) that the red dashed line is the line $x=y$ for reference" ] }, { "cell_type": "markdown", "id": "1ace5644", "metadata": {}, "source": [ "## Scatterplot with regression line\n", "\n", "Sometimes we are interested in the between-pairs effect. For example we might be interested in the shared effect of genetics/environment, and would like to make a prediction along the lines 'for each additional cm in height of the brother, we expect the height of his sister to increase by 0.8cm'\n", "\n", "We will cover regression analysis later in the course\n", "\n", "Here I just want to introduce a version of the scatterplot which includes the best fitting regression line, `sns.regplot()`" ] }, { "cell_type": "code", "execution_count": 7, "id": "07f914a8", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(data=heightData, x='brother', y='sister')\n", "plt.plot([150, 190],[150, 190], 'r--')\n", "plt.xlabel(\"brother's height (cm)\")\n", "plt.ylabel(\"sister's height (cm)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3d25b1cf", "metadata": {}, "source": [ "The blue line is the regression line (and the shading represents a confidence interval for the regression line - we will cover confidence intervals in detail later but basically, it reflects the fact that we are not totally sure this sample reflects all men and women in the popluation; we expect the 'true' regression line to fall somewhere in the shaded region)\n", "\n", "I've also included (red dashed line) the line $x=y$ for reference - we can see that the regression line *is not the same* as the line $x=y$ - it falls to one side of $x=y$ and has a slightly different slope.\n", "\n", "If these ideas (regression line and confidence interval) are unfamiliar please think no more about it - they will be covered later in the course, but I mention this plot here so you have all commonly used plots in one chapter for revisiobn." ] }, { "cell_type": "markdown", "id": "f7dbb5f6", "metadata": {}, "source": [ "## Jointplot\n", "\n", "A disadvantage of the scatterplot is that we lose the ability to see the shape of each distribution (brothers' and sisters' heights), which we would get from a histogram or KDE plot \n", "\n", "* is the distribution of heights symmetrical or skewed?\n", "* is the distribution unimodal or bimodal\n", "\n", "We can get 'the best of both worlds' by using seaborn function jointplot, which shows the marginal distributions (the height distributions for brothers and sisters separately) at the side of the main scatter plot" ] }, { "cell_type": "code", "execution_count": 8, "id": "02e614e5", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(data=heightData, x='brother', y='sister')\n", "plt.xlabel(\"brother's height (cm)\")\n", "plt.ylabel(\"sister's height (cm)\")\n", "plt.plot()" ] }, { "cell_type": "markdown", "id": "f294d3b6", "metadata": {}, "source": [ "Since this plot is now made up of three axes (the main scatter plot and the two marginal histograms), if we want to adjust one of those axes, we use a set of arguments in a `dictionary`:\n", "* `marginal_kws` are keyword argumments for the marginal histograms\n", "* `joint_kws` are keyword arguments for the scatterplot itself\n", "\n", "You can probably just copy this syntax without worrying too much about understanding it as we don't make heavy use of dictionaries in this course." ] }, { "cell_type": "code", "execution_count": 21, "id": "5702d98f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(data=heightData, x='brother', y='sister', kind='scatter', \n", " marginal_kws=dict(bins=range(150,200,5), kde=\"true\"), \n", " joint_kws=dict(color='k'))\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "aa4f5d8d", "metadata": {}, "source": [ "Finally, we can add the line $x=y$. \n", "\n", "This is a little fiddly and you will not be required to do this in an assessment - however I include it for your future reference\n", "\n", "As the plot consists of several axes, we have to tell the computer which part of the the joint plot to add the line to, by getting a *handle* to the plot (see comments in the code)" ] }, { "cell_type": "code", "execution_count": 25, "id": "37bea239", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create the joint plot as before but give it a label - \"myfig\"\n", "myfig = sns.jointplot(data = heightData, x='brother', y='sister', kind='scatter',\n", " marginal_kws=dict(bins=range(150,200,5), kde=\"true\"),\n", " joint_kws=dict(color='k'))\n", "\n", "# plot the line x=y onto the joint axis (ax_joint) of myfig\n", "myfig.ax_joint.plot([150,190],[150,190],'r--')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "447b458e", "metadata": {}, "source": [ "## 2D Histogram\n", "\n", "The functions `sns.histplot()` and `sns.kde()` can actuaally be used for two dimensional data. \n", "\n", "Here is a histplot for our brother-sister height data, with the scatterplot overlaid:" ] }, { "cell_type": "code", "execution_count": 31, "id": "18a7c953", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.histplot(data=heightData, x='brother', y='sister', bins=range(150,200,5))\n", "sns.scatterplot(data=heightData, x='brother', y='sister', color='k')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b71f05e3", "metadata": {}, "source": [ "... Note that areas (squares) with more data points in them are darker blue.\n", "\n", "### Large datasets\n", "\n", "A 2D histogram or KDE plot is particularly useful when a dataset is too large to be successfully visualized using a scatterplot.\n", "\n", "For example, consider the following dataset containing heights, weight and gender for 10,000 (fictional) people." ] }, { "cell_type": "code", "execution_count": 81, "id": "c0e1fb33", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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GenderHeightWeight
0Male73.847017241.893563
1Male68.781904162.310473
2Male74.110105212.740856
3Male71.730978220.042470
4Male69.881796206.349801
............
9995Female66.172652136.777454
9996Female67.067155170.867906
9997Female63.867992128.475319
9998Female69.034243163.852461
9999Female61.944246113.649103
\n", "

10000 rows × 3 columns

\n", "
" ], "text/plain": [ " Gender Height Weight\n", "0 Male 73.847017 241.893563\n", "1 Male 68.781904 162.310473\n", "2 Male 74.110105 212.740856\n", "3 Male 71.730978 220.042470\n", "4 Male 69.881796 206.349801\n", "... ... ... ...\n", "9995 Female 66.172652 136.777454\n", "9996 Female 67.067155 170.867906\n", "9997 Female 63.867992 128.475319\n", "9998 Female 69.034243 163.852461\n", "9999 Female 61.944246 113.649103\n", "\n", "[10000 rows x 3 columns]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hws = pd.read_csv('https://raw.githubusercontent.com/jillxoreilly/StatsCourseBook_2024/main/data/weight-height.csv')\n", "display(hws)" ] }, { "cell_type": "markdown", "id": "623f8b5e", "metadata": {}, "source": [ "Let's try making a scatterplot of the data:" ] }, { "cell_type": "code", "execution_count": 88, "id": "d3f831df", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.scatterplot(data=hws, x='Height', y='Weight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "09bfe728", "metadata": {}, "source": [ "We can clearly see a positive correlation between weight and height, but it is hard to see any detail about the relationship as the dots are packed so closely together.\n", "\n", "We can try instead to plot a 2D histogram:" ] }, { "cell_type": "code", "execution_count": 89, "id": "7ee25b5d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.histplot(data=hws, x='Height', y='Weight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "03523e02", "metadata": {}, "source": [ "We can now see that the density of datapoints is higher in the middle of the cloud, and interestingly can see a hint that there are two separate peaks within the data distribution (look closely - the dark region of the histogram dips in the middle).\n", "\n", "The reason for this becomes clearer if we plot the data separately for men and women:" ] }, { "cell_type": "code", "execution_count": 91, "id": "2064d68c", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.histplot(data=hws, x='Height', y='Weight', hue='Gender')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c7b8e5ca", "metadata": {}, "source": [ "However, the data cloud for women is now occluding the data cloud for men.\n", "\n", "Another option is to use the 2D KDE plot, which produces a kind of contour map (equivalent to the kind fo map you would take hill walking):" ] }, { "cell_type": "code", "execution_count": 94, "id": "5e625aee", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data=hws, x='Height', y='Weight', hue='Gender')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7fc74c39", "metadata": {}, "source": [ "### Customization\n", "\n", "All the plots above can be customized to highlight features of interest in the data.\n", "\n", "Particularly relevant tweaks for these plot types are:\n", "\n", "- `alpha` - a number between 0 and 1 - makes plots semi-transparent when close to 0\n", "- `colormap`\n", "\n", "You can learn more on the `seaborn` reference pages for sns.histplot(), sns.kdeplot() and sns.scatter()." ] }, { "cell_type": "code", "execution_count": null, "id": "62f17e50", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.18" } }, "nbformat": 4, "nbformat_minor": 5 }