{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# From the normal model to regression\n", "\n", "##### Keywords: bayesian, normal-normal model, conjugate prior, MCMC engineering, pymc3, regression" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib as mpl\n", "import matplotlib.cm as cm\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "pd.set_option('display.width', 500)\n", "pd.set_option('display.max_columns', 100)\n", "pd.set_option('display.notebook_repr_html', True)\n", "import seaborn as sns\n", "sns.set_style(\"whitegrid\")\n", "sns.set_context(\"poster\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The example we use here is described in McElreath's book, and our discussion mostly follows the one there, in sections 4.3 and 4.4. We have used code from https://github.com/aloctavodia/Statistical-Rethinking-with-Python-and-PyMC3/blob/master/Chp_04.ipynb ." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Howell's data\n", "\n", "These are census data for the Dobe area !Kung San (https://en.wikipedia.org/wiki/%C7%83Kung_people). Nancy Howell conducted detailed quantitative studies of this Kalahari foraging population in the 1960s." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " height weight age male\n", "0 151.765 47.825606 63.0 1\n", "1 139.700 36.485807 63.0 0\n", "2 136.525 31.864838 65.0 0\n", "3 156.845 53.041915 41.0 1\n", "4 145.415 41.276872 51.0 0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('data/Howell1.csv', sep=';', header=0)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " height weight age male\n", "539 145.415 31.127751 17.0 1\n", "540 162.560 52.163080 31.0 1\n", "541 156.210 54.062496 21.0 0\n", "542 71.120 8.051258 0.0 1\n", "543 158.750 52.531624 68.0 1" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.tail()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(df.height, bins=30);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We get rid of the kids and only look at the heights of the adults." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df2 = df[df.age >= 18]\n", "plt.hist(df2.height, bins=30);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model for heights\n", "\n", "We will now get relatively formal in specifying our models.\n", "\n", "We will use a Normal model, $h \\sim N(\\mu, \\sigma)$, and assume that the priors are independent. That is $p(\\mu, \\sigma) = p(\\mu \\vert \\sigma) p(\\sigma) = p(\\mu)p(\\sigma)$.\n", "\n", "Our model is:\n", "\n", "$$\n", "h \\sim N(\\mu, \\sigma)\\\\\n", "\\mu \\sim Normal(148, 20)\\\\\n", "\\sigma \\sim Unif(0, 50)\n", "$$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pymc3 as pm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A pymc3 model\n", "\n", "We now write the model as a pymc3 model. You will notice that the code pretty much follows our formal specification above.\n", "\n", "When we were talking about gibbs in a Hierarchical model, we suggested that software uses the Directed Acyclic Graph (DAG) structure of our models to make writing conditionals easy.\n", "\n", "This is exactly what `pymc` does. A \"Deterministic Random Variable\" is one whose values are determined by its parents, and a \"Stochastic Random Variable\" has these parental dependencies but is specified by them only upto some sampling. \n", "\n", "Deterministic nodes use `pm.Deterministic` or plain python code, while Stochastics come from distributions, and then belong to the `pm.FreeRV`\n", "\n", "So for example, the likelihood node in the graph below, depends on the mu and sigma nodes as its parents, but is not fully specified by them.\n", "\n", "Specifically, a likelihood stochastic is an instance of the `ObservedRV` class.\n", "\n", "A Stochastic always has a `logp`, the log probability of the variables current value, given that of its parents. Clearly this is needed to do any metropolis stuff! `pymc` provides this for many distributions, but we can easily add in our own." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with pm.Model() as hm1:\n", " mu = pm.Normal('mu', mu=148, sd=20)#parameter\n", " sigma = pm.Uniform('sigma', lower=0, upper=20)#testval=df2.height.mean()\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`testval` can be used to pass a starting point." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (2 chains in 2 jobs)\n", "CompoundStep\n", ">Metropolis: [sigma_interval__]\n", ">Metropolis: [mu]\n", "100%|██████████| 10500/10500 [00:03<00:00, 2634.13it/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "with hm1:\n", " stepper=pm.Metropolis()\n", " tracehm1=pm.sample(10000, step=stepper)# a start argument could be used here\n", " #as well" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(tracehm1);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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uwA8ZMmS1++PHj0+7i9wof9stch3j2q2+oDq3i+7ubnp62nPiLeXsYlOdi6/d6guNydm9NuDNbCnVe8irKbn7yDrWmxfdjmX1cfBjCePpK8XzJeBFd783VtZBGFbzaso4RURERERyp1YP/DWkb8DXax7wHLA3cDuAma0F7Ek4MbWSw4HRZjbB3ctDbPYgnMx6b5VtREREREQKo9cGvLtPatQTu3vJzM4DLjaz14H7gSOADYALAMxsHLBhbM73cwnj72eb2SzCTDZnAz939983KlYRERERkVbRpzHw0ZVSP024qNLlhAs8jXX3+9Psx91nmtlwYArh4k2PAru5+9PRKqcCBxGd8BrNgrMXcBpwA2Ec/RXReiIiIiIihZe6AW9m5wLHAoMJw2vuANYBfm5m1wMHuvuyevfn7l2E+eUrLZsETEqU3QTclDZuEREREZEiSNWAN7NvACcA5wM3Ar+NFt0LXESYH/4xwtzsudTV1cWiRYvo7Oxk6tSpzQ5HRER6oZwtIu0obQ/8EcB17n6cma1fLnT314ApZrYu8BVy3oCfP38+Y8aM0cFARKTFKWeLSDsalHL9scBdvSy/jzAuXkREREREGiBtA/5lYIteln8YeKXP0YiIiIiISK/SNuCvAb5pZjvHykoAZvZV4GDgFxnFJiIiIiIiCWnHwJ8OTCScvPo8ofE+w8zeBWxKmAby9EwjFBERERGRd6TqgXf3HmAX4DDCbDNPAkOBbuAo4KPu/mbWQYqIiIiISJB2GslvA7e6++WECziJiIiIiMgASjsG/mhgQiMCERERERGR2tI24J8FNmlEICIiIiIiUlvak1jPBS42s80Jc76/AqxMruTu12YQm4iIiIiIJKRtwF8V3e4b/VVSAtSAFxERERFpgLQN+F0aEoWIiIiIiNQlbQP+YODn7n5DI4IRERHpq66uLhYtWkRnZydTp05tdjgiIg2TtgG/D/BAIwJpRToYiIjkR1dXF/Pnz2fMmDHK2SJSaGkb8I/RRtNI6mAgIiIiIq0mbQP+p8C5ZvZB4H4qz0JTcvfpWQQnIiIiIiKrS9uAvzC63TH6q6QEqAEvIiIiItIAaRvwWzYkChERERERqUuqBry7Pxt/bGajgWXu/s9MoxIRERERkYrS9sBjZpsSrsj6WWCdqGwhcBNwirs/l2mEIiIiKWkWMREpslQNeDN7L/AgsBFwO9ANDAYMOADYzcy2d/fnsw602XQwEBHJD80iJiJFlrYH/jvASGCiu8+NLzCz7YC7gLOBydmE1zp0MBARERGRVjAo5fq7ARcmG+8A7v5H4CJg9ywCExERERGRNaVtwI8EFvSy/GWicfEiIiIiIpK9tA34J4B9zawjucDMBgH7AX/NIjAREREREVlT2jHw04BrgDvNrAuYF5UbcAywE3BgduGJiIj0jyYhEJGiSTsP/HVmtglhGskbY4s6gLeA49396gzja0k6GIiI5IcmIRCRokk9DzzwY8LUka8CGxMa7y9E9y/MLrTWpYOBiIiIiDRL2nng3wPcAbwP2NHdfxKVXwFMAr5sZp9y91ezDlRERKS/9AuqiBRB2h747wLrAbvGp5J09/80s8uBXxLmij8kuxBbmw4GIiL5oV9QRaQI0jbgPwGc7+53Jxe4+/1mNgM4PM0OzewQ4DhgM+BR4Bh3f6CX9T8EzAAmAv8ALgGmuXspzfNmRQcDERERERlIaRvwawPLe1m+BFi33p2Z2UHApcBZwMPAkcBtZratu/+9wvobAXcSprPcD9gO+DawAji/3ucVERHRL6i1xV8joOJ9vXYiAy9tA/4h4BAz+6G7L4kvMLO1gcnAGldprSSaS/5M4DJ3PzMquwNw4GjgWxU2+2YU817u3gPcYmbDgBPNbIa7v52yPpnSwUBEJD/iv6CCGqSVJF+javf12okMrLQN+DOBOcDjZvYT4KmofCxwALAF8Mk697UVsDnw63KBu79tZjcDu1fZZldgTtR4L7sBOAXYAfh9nc/dENUOBv25r2QofVW0L5TVegIXLFjAkiVLGDt2bF31LNrrItlQY36V5GetnvX12okMrLTzwN9nZrsD04HTEosfA/Zw93vr3N3W0e1TifKngXFmNtjdV1TY5p4K65eXNbUBH1dvr0Wano34fSXGxsh7427WrFnvNGZb5aBaz0/w9dyv9plavnw5r7zySt1fnFvldemPWbNm8cUvfrHZYRRWq79HGjGsJb7PZP3T7iftaxd/7vgX8mp16089JXtpc/wee+zREnHk/b3TUSr17dzPaDz6ewlzwj/n7i+m3H5/4H+AMe7+Uqz8YOBHwDru/mZim7eA0939vFjZEOBtYIq7p5qHfu7cuaWTfvwEACtXrmTQoEG5uT9ixAhKpZV0dITyWveHjxgO5f91R0eal6klLe1ZWrPOpVKJUqn0zmtX7XWJ76unp6fiazx8xPDmVLQO1eKHvr93+lLfav+TemJqhfvVXpdm/u97e03PPfhDTJgwIf8f5hSanbP7khPqyVXV7g8fvnbYSUdHQz7n8fuN/pyuv8H6DckRrfi5Lavnf1/vsTm+r1arW9r/3/Dhw1Mfm6utF7+fNo60n+e0/4P4+qVSiVMPGJdpzu7LhZwAcPeXgZf78dzlSlT7BrGyyjZp1q9p6Ii6z7ltKcth1StYx/1FPckfM/JuaO36d4S/lb2sE16XVfsaOmLoO6ssX2O9VlU5/mrqee/0rb6V/yf1xNQKqr0uzf3f5/s1bYRm5uy+5YQ6clWV+4uWxg9r2X/O4/cb/Z5K5tqsnrs1P7dltf/3fXkftVrd0v7/VkDqY3O19eL308aR/vOc9n8Qi78BXS19bsBn4I3othNYECvvBFa4++Iq2yQH5XXGlqW23uhhfdksl95eHiYQWmvIEBYvXkKpVKIj+sZf6f7ixYsrfmsdNWpUxfVHjRrZhFpVF69vluKvXbXXqD/3+/P6NqrOrayZda72Xqj2P6x2P+1np1zndtSuObtdNKLO9Rzv0t7P8njX6DqnPU7F81cjjuvt/L7OUjNfvXnR7VhWHwc/FvhbL9uMTZSVH3tfgrjq9GrnyxZPd3c3AOPHj69r/WrjyaZOPahhMWYpbX37Iqvx3fH7/Xl9B6LOraZV6rz6+RON/Yx0d3fT09NTe8UCUs4uNtU5e9WOU8nr2Axk/oL2+x9nnbOb3YB/DtgbuB3AzNYC9gRurrLNHOAwMxsZm8Zyb+A1wkWgJEN5P8FjIOg1kjK9F0SkFfWWm4pyQmc7aloD3t1LZnYecLGZvQ7cDxwBbABcAGBm44AN3f3BaLOZhIs93WJm04FtgROBE9x92UDXQURERCSP1GjPt0HNfHJ3nwkcC3wFuJ5wFdfd3L08NeSpwAOx9ecT5oIfEq1/KHCyu+sqrCIiIiLSFpp+BoG7dwFdVZZNAiYlyh4Bdm54YCIiIiIiLajP88AXwdy5c9u38i3glVdeYcqUKXzsYx/j0EMPbXY4fTZ//nxOOeUUzj77bDbZZJO6t/vyl7/MBz/4QU4++eTMYrn00ku59957ueiii1h//fUz2+/DDz/Mr371K1544QWGDRvG9ttvzxe/+MXVrtT4+OOPM3PmTKZPn86oUaMye26prh3ngW92DO1MOTs/OTtu+vTpLFu2bI24lbMHXpY5u60b8NJcZjYS+DzwVOw8h1wxsw7gXuCP7j4l5bYlYI6775phPB8FxgG/cPdMTnk3s68CVxHOU/kZsBlwFOFE9Inx5zGzm4HX3P2rWTy3iLQO5ex85OzE/r8LHEeVuJWz86vpQ2ikfUUzCc1udhz9NBnYHvhCswMBcPcHiJ030l/RAft7wB+AXdz97ah8LnAt4aTy78Y2OQX4o5ld7u6/zSoOEWk+5ezsZZ2zy8xsXeBS4Is1VlXOzqmmnsQqkmdRT85xwM+jKxMX0Z7A+sDMcuMdwN2vA54hnIBOrPxPwIPA8QMYo4hITW2Ss8u9+k8B+wJn9baucnZ+qQdeGiLquT0X+DTwXuBN4D7gLHd/NFpnC+DvwOXufnBs208DJwH/B/gn8HPgJuBGYLK7XxnbdirhIsWHE4Z2/C9wGvAr4GTga8B6wOPAMVFvR/l51gaOAfYBtgbWAl6Itj21ytWA4/YELNpHsv5jojj2BDYkXPNgNjDd3Zcm1t2PMB3qeOB14DrC7EqLYutsGq2ze1TPFYQE/SN3vzi23pXAQcB73P15M5sEzAL+jdDjtB9hqlYHvufuV9ao40ei2z9UWPYQsG/iugwQhtlcYGbj3b27xv5FpAUoZxcmZ0N4bf4CHOvuD5nZaTXWV87OITXgpVGuBT4OXERIPJsB3wJ+FyWJ5yttZGZfJiTNp4CzCe/RwwgJu5KjCInxEqAEnEBIRncCYwgzHHUSEumvzGwrd38z2vZ6wsHqR8APgJHR8xwFvBv4co067g0sB+5J1GETYC7hIHQZ8AQwETgT2C7aruwjhJ9zLyH83Lk3YVjKhsD+0f7WJTSghxOuhfAMsDFwCHCRmS1z98tqxPpTwoFmOuGXt6OAWWY2391v62W7zaLbSv+vFwgH4i0IB4uyO6PyvQAdDETyQTm7GDkb4GfuflWNdeKUs3NIDXjJnJltCOxBGHZxXKz8T8B5wIep0CCMelcuBP4fsH05aZvZZazeQIxbH3ifu78YrdtDSJgfAqx8UlC075OBHYA5ZrYtoadleiLGiwk9Qp+po6q7APMqnHj0HUKy3sXd74nKfmhmS4FvmNn20XSoEA5AE939oej5f0xIoP9hZkOjC5QdBGwK7Onut8RivY5woP0M4aDTm9eAj7j78mjb+wk/m34V6O1gsA5QSvSwl5XrPTJR/iShF24XVh8fLyItSDm7UDkbd3+rxr6TlLNzSGPgpRHeiP72M7NDzWwjAHf/tbt/wN1vrLLdJwjJ/cJYjwvu/irhIFHJfeUDQaTce3BzIknPi243jfb5Z0Lj9IzE/jYG/gH0OqeWmQ0GtiT0OsXLO4DPAY/EDgRlpwHbEH4aLnuyfCCI4loBPAwMJbwWuPsMQu/SbxLPM5TQg1XP/F/XlA8EkbnR7cY1tuttyqvyspXxwqgOzwBb1RGXiDSfcnZxcnZqytn5pB54yZy7LzOzyYRxfD8ELjWzPxOS2ZXu/rcqm1p0+2SFZX+tss1LicflhLcgUb4iuo1/aX0LOMDMdiUkrnGEn1DrsT6hAftGonw9wkFmjTq4+2uEXpW4ZPwA5fGWwxLlJ5jZRGBsFOuIqLyeL+KrvR7uvtzMVgCDa2y3GOgws+HJcaCx50++BgALgQ/UEZeINJlydqFydl8pZ+eMeuClIdz9l4QxlF8kHBTWJYxp/KuZVRsbOTS6rfTzX7X5cd+uUt7rBQ7MbD3gz4SxlBsT5jg/HvgX4O7eto2UDy7JZLpWPc9fYT9VmdlHCL1GJ0VFNxJO9NqMRO93L+pdL+nv0e1mFZZtSoj/xQrLBlNH3USkNShnFyZn95Vyds6oB14yZ2adhKT6jLtfSzg5CjP7N8LJMicQTkZKKvfyvB+Yk1j2/ozD/Aah9+hr7n5FfEE0G0Gv3P01M1tGmB0g7hVgCWEWgNWY2fuAc4Ar6jgJKe4cQs/NB+I9YWb2bhr/Jfzh6HZHVv2kTazsL1XGx28AzG9kYCKSDeXsQuXsvlLOzplWfSNJvo0n9I6ckiifS+ipWb7GFsHthJ/xDjOz8k+NmNko4OsZx1hO4vGxjZjZ54gOPGZW6wvus8Dm8YJoLOHNwI5RL0zcYYQpwWpNdVYp1kWEMYpx5Xl7G/lF/GbCdHJTzKzcU4WZ7Uuo+xozHUTrjWHNeEWkNSlnFydnp6acnU8t9SaSYojmnf0NcLiZrUO4bPXawIGEk3e6qmy32MyOAq4EHjGzWYQxiwezaghHvT9z1nITMAW42sxmEhL0vxKmIftnFO86rDn+Me424Agz2yA6aavseMLZ/HdF+54H7ES46NFP3P3+lLHeSDiw3mpm1xJ+tv488O+Eg+s6KfdXN3dfZGbHEaZL+62ZXUWYNvIo4E+jG7ZOAAAc9UlEQVSE8bJJEwivX5oeKxFpEuXs4uTsPlLOziH1wEuj7EeYE3g74HuEq8EtAj4TXcWzomju2n0IP2meBRwL3EGYDQAqj7VMzd3vJCT+xVGc5xJ+nv0G4SAB8Kkau/lVdLtLYt/PEOYJvpZwAPw+IUFOJRzY0jor+ts82tfxhNfhE4QLpnwgumhIQ7j7D4EDCD8JzyAc1K4EPlVl+Ez59fh1o2ISkcwpZxckZ/eBcnYOdZRKWX05FukfMxsGjHT3f1RYdjxhPuL4PL1NZWaDCDMtPOXu9cxB3BbMrBv4u7vv0exYRKRxlLOLQTk7n9QDL61kA+A1M/tRvDAan/clQg/Gn5oRWCXuvhL4NrC7mVWapaXtRCe9vZ/QQyYixaacnXPK2fmlHnhpKWZ2M+FS2VcBvydc9W5/wownx7r7+U0Mbw3RxUF+D/zZ3Q9tdjzNZmZzgFfd/YvNjkVEGk85O9+Us/NLDXhpKdFMBlMIY663BJYR5v690N1/0czYqjGz9xOmW9zR3btrrV9UZrYHYf7oDyZOEBORglLOzi/l7HxrmQa8me0F/Le7d9ZY70OEE+kmEi6ffAkwzd1boyIiIiIiIg3UEtNImtlOwGzC9FO9rbcR4aISTxDOmN+OMJ5tBdBSP9OJiIiIiDRCUxvw0RnsUwgnTyxh1WWZq/kmIea93L0HuCXax4lmNsPdq12iuaK5c+eq115EcmvChAm9dnoUjXK2iORZljm72T3wnwZOJMwbuz5hztXe7ArMiRrvZTcQLpiwA+HElFQmTJiQdpPc6u4OQ/3Gjx/f5EgGRrvVF1TndtHd3U1PT0/tFQtIObvYVOfia7f6QmNydrOnkXwY2NLdL6S+q7VtDTyVKHs6tkxEREREpNCa2gPv7i+k3GQ04cpwcYtiy1IrfxNsB0uXLgXap87tVl9QndtFuc7tqB3/z6pzsbVbndutvtCYnN3sHvi0OqjeU7+yLzucNWtW36MREZEBpZwtItL8MfBpvQEkp5nsjC1Lbfbs2UybNq1fQeVFu407a7f6gurcLtp5DLxydrGpzsXXbvWFYo6BT2seMDZRVn7sAxyLiIiIiMiAy1sDfg6wq5mNjJXtDbwGPNqckEREREREBk5LD6Exs3HAhu7+YFQ0EziSMP/7dGBbwjSUJ7j7siaFKSIiIiIyYFq9B/5U4IHyA3efT5gLfghwPXAocLK76yqsIiIiItIWUvfAm1kHsDPwbmBwpXXc/dq0+3X3M4AzEmWTgEmJskei5xcRERERaTupGvBmtg1wE7ApYUrHSkpA6ga8iIiIiIjUlrYH/gLgXYRx548Cb2UekYiIiIiIVJW2Af9R4Nvu3h6T8IqIiIiItJi0J7G+QR8vmCQiIiIiIv2XtgH/P8BkM2vp6SdFRERERIoqbUP8IWAf4C9mdhPwCrAysU7J3adnEZyIiIiIiKwubQP+6tj9o6usUwLUgBcRERERaYC0DfgtGxKFiIiIiIjUJVUD3t2fjT82s9HAMnf/Z6ZRiYiIiIhIRX25EuumwLnAZ4F1orKFhAs8neLuz2UaoYiIiIiIvCPtlVjfCzwIbATcDnQDgwEDDgB2M7Pt3f35rAMVEREREZH0PfDfAUYCE919bnyBmW0H3AWcDUzOJjwREREREYlLOw/8bsCFycY7gLv/EbgI2D2LwEREREREZE1pG/AjgQW9LH+ZaFy8iIiIiIhkL20D/glgXzPrSC4ws0HAfsBfswhMRERERETWlHYM/DTgGuBOM+sC5kXlBhwD7AQcmF14IiIiIiISl3Ye+OvMbBPCNJI3xhZ1AG8Bx7v71RU3FhERERGRfks9D7y7zzCznwKfBDYnNN6fAe5099eyDU9EREREROJSN+AB3P0fhKE0IiIiIiIygHptwJvZLcA0d78n9riWkrvvmUFsIiIia+jq6mLRokV0dnYyderUZocjIjLgavXAjwdGxx5/ACg1LhwREZHedXV1MX/+fMaMGaMGvIi0pV4b8O6+ZeLxFg2NRkREREREepVqHngzu8LMJvayfBczu7HachERERER6Z9aY+DXZvUhNJOAh8zs7xVWHwR8Dtg1s+gGiMZTioiIiEhe1BoDvy7wJNAZPS4Bl0R/lXQAd2cT2sDReEoRERERyYtaY+BfMrP9gR0JjfPTgF8Cj1VYfQXwCppeUkRERESkYWrOA+/uvwF+A2BmmwOXuvsfGh2YiIiIiIisKdWFnNx9cq11zMzc3fsekoiIiIiIVJOqAW9mQwjDaD4FjGL1WWyGEMbKbwQMzipAERERERFZJdU0ksA5wCnAGGAlYIRx7x3AVoQZa6ZkGaCIiIiIiKyStgG/H3AXsCWwJ6HhfoS7jwd2I/S8L880QhEREREReUeqITTApsD57r4SeM7MXgF2Bh539zvM7ArgEODSendoZocAxwGbAY8Cx7j7A72sfyPwmQqLOt19cf1VERERERHJn7Q98EsI00WW/Q3YJvZ4LjC23p2Z2UGExv5s4AvAQuA2M9uyl822BWYAH0389dT7vCIiIiIieZW2B/4R4D/M7DJ3LwFPEHrgy8ZS5xAaM+sAzgQuc/czo7I7AAeOBr5VYZt1gfcAt7r7gyljFxERERHJvbQ98F3ArsATUWP6KuBfzOwmM/secBRwb5372grYHPh1ucDd3wZuBnavsk25t7/ShaRERERERAovVQPe3W8jjD9/Fngz6gU/CdiF0Hh/PLqtx9bR7VOJ8qeBcWZWaSrKbYC3gHPM7DUz6zGz68xs4zT1EBERERHJq7RDaFa7Mmv0+DwzuwAY4e6vp9jV6Oh2UaJ8EeGLxUjgzcSybYBh0TqfJwzZOQe4y8w+7O5vpXh+AJYvX77a/e7u7rS7yI2lS5cCFLqOce1WX1Cd20W5zu1IObvYVOfia7f6QmNyduoGfCVRwzlt47kjui1VWb6yQtn3gKvd/e7o8b1m1g08SJji8qcpYxARkRybNWsWS5YsYeTIkUyeXPNi4SIihdBrA97MllK9gV1Nyd1H1rHeG9FtJ7AgVt4JrKg0JaS7Pwk8mSj7g5ktJMxOk7oBP2TIkNXujx8/Pu0ucqP8bbfIdYxrt/qC6twuuru76elpz4m3kjl79uzZzJ8/nzFjxjBt2rQmRpa9dn1vg+pcZO1WX2hMzq7VA38N6Rvw9ZoX3Y5l9XHwYwnTU67BzL4EvOju98bKOgjDal5tUJwiIiIiIi2j1wa8u09q4HPPA54D9gZuBzCztQhXeL25yjaHA6PNbEJ0MSmAPYDh1D/7jYiIiIhIbvVpDHx0oaVPE+Zkv5xwgaex7n5/vftw95KZnQdcbGavA/cDRwAbABdEzzMO2DA25/u5hBNoZ5vZLMJMNmcDP3f33/elLkldXV0sWrSIzs5Opk6dmsUuRUREREQyk7oBb2bnAscCgwnDa+4A1gF+bmbXAwe6+7J69uXuM81sODCFcPGmR4Hd3P3paJVTgYOITnh199vMbC/gNOAGwjj6K6L1MtHV1fXOeEo14EVERESk1aRqwJvZN4ATgPOBG4HfRovuBS4CjiRcZOmcevfp7l2EC0RVWjYJmJQouwm4KU3cIiIiIiJFkfZKrEcA17n7ccBfy4Xu/pq7TyHMAvOVDOMTEREREZGYtA34scBdvSy/jzAuXkREREREGiBtA/5lYIteln8YeKXP0YiIiIiISK/SNuCvAb5pZjvHykoAZvZV4GDgFxnFJiIiIiIiCWlnoTkdmEg4efV5QuN9hpm9C9iUMIvM6ZlGKCIiIiIi70jVA+/uPcAuwGGE2WaeBIYC3cBRwEfd/c2sgxQRERERkSDtNJLfBm5198sJF3ASERFpCboQn4i0i7RDaI4mnKT6uwbEIiIi0me6EJ+ItIu0J7E+C2zSiEBERERERKS2tD3w5wIXm9nmhDnfXwFWJldy92sziE1ERERERBLSNuCvim73jf4qKQGFaMBrPKWIiIiItJq0DfhdGhJFi9J4ShERERFpNWkb8AcDP3f3GxoRjIiIiIiI9C7tSaz7oJNYRURERESaJm0D/jFgQiMCERERERGR2tIOofkpcK6ZfRC4n8qz0JTcfXoWwYmIiPSFJiEQkSJL24C/MLrdMfqrpASoAS8iIk2jSQhEpMjSNuC3bEgUIiIiIiJSl1QNeHd/Nv7YzEYDy9z9n5lG1YL0c6yIiIiItIK0PfCY2aaEK7J+FlgnKlsI3ASc4u7PZRphi9DPsSIiIiLSClI14M3svcCDwEbA7UA3MBgw4ABgNzPb3t2fzzpQERERERFJ3wP/HWAkMNHd58YXmNl2wF3A2cDkbMITERHpHw2BFJGiSduA3w24MNl4B3D3P5rZRYSrtYqIiLQEDYEUkaJJ24AfCSzoZfnLROPii0y9OSIiIiLSLGkb8E8A+5rZJe5eii8ws0HAfsBfswquVak3R0RERESaJW0DfhpwDXCnmXUB86JyA44BdgIOzC48ERERERGJSzsP/HVmtglhGskbY4s6gLeA49396gzja3kaTiMikh/K2SJSBKnngQd+TJg68lVgY0Lj/YXo/oXZhZYPGk4jIpIfytkiUgRp54F/D3AH8D5gR3f/SVR+BTAJ+LKZfcrdX8060DxQz46IiIiINFraHvjvAusBu8anknT3/zSzy4FfEuaKPyS7EPNDPTsiIvmhThcRyau0DfhPAOe7+93JBe5+v5nNAA5Ps0MzOwQ4DtgMeBQ4xt0f6GX9DwEzgInAP4BLgGnJWXGaTQcGEZHWpk4XEcmrtA34tYHlvSxfAqxb787M7CDgUuAs4GHgSOA2M9vW3f9eYf2NgDsJ01nuB2wHfBtYAZxf7/MOhPiBAVBjXkREREQykbYB/xBwiJn90N2XxBeY2drAZGCNq7RWYmYdwJnAZe5+ZlR2B+DA0cC3Kmz2zSjmvdy9B7jFzIYBJ5rZDHd/O2V9BoQa8yIirS3+qykoT4tIa0vbgD8TmAM8bmY/AZ6KyscCBwBbAJ+sc19bAZsDvy4XuPvbZnYzsHuVbXYF5kSN97IbgFOAHYDf1/ncTaPGvIhI60nmZuVpAQ2HbRXVvmDH77fb/yftPPD3mdnuwHTgtMTix4A93P3eOne3dXT7VKL8aWCcmQ129xUVtrmnwvrlZS3fgI+r1pivdr/d3px506wevPjzLliwgCVLljB27NgBiUEHNyk6dbq0h2r5O+1xup77fXnv1NOAzer5WuXXqHgcvX3Bzvr/U+1+q33mO0qlvp37GY1Hfy9hTvjn3P3FlNvvD/wPMMbdX4qVHwz8CFjH3d9MbPMWcLq7nxcrGwK8DUxx91Tz0M+dO7d00o+fAGDlypUMGjSope+vv8H6aaq3pvL/uqOjf/upw9KepZRKK+noGMTwEcMb/nwVDUB94/Xs6emp+H8bMWLEO+uEsPr/utTzvPXEUO3+8BHDV3uOauvFnzv+HPG6VdtPZu+LAXxfQ/X61HM/yzpP/fwmTJgwYWAq3SJaKWdXe79nqsp7u573YNPybn/F6pzVZ63a8ShtHs3qfvK907Okh1Kp9M56tXJtf56vnteonmNZv95fdbyvh48Yzmuvvtb0z3na17G3Omeds/tyIScA3P1l4OV+PHe5EtW+Qayssk2a9WsaOqLuc26bblFP8geJVjb0nf9wvuJOa1U9h44YWnGN5bDq3R6737/Xpfbz1hNDtfshtqE114s/d/w5Vq9b5f3k931R+3Wpdj+/dW4drZKzq7/fB0Lt92Ax3mtZfdaqHY/S5dGsrPHe6RgGHbFGTI1c25/ni+8z7WvR+Pf86v+nVvmslzXmWN53fW7AZ+CN6LYTWBAr7wRWuPviKtt0Jso6Y8tSW2/0sL5s1lIWL15CqVSio6ODxYsXV/zmuPHG7+allxb0+ZvnqFGj3nmOUaNGZhIr0Of79cTw9vIwYdJaQ4ZUfd5Ro0autqw/dWsF8TrnST3vi2rv7XKvyODBQ6puW8/9Zv7ve3t/VvLmm4sGMryW0oo5u7f/X9q8G8+1w9YOde3v57k/n694PNW2red+vZ+vvOaw/mi3Ohe5vr21x8Js6dlp5qs3L7ody+rj4McCf+tlm7GJsvJj70sQV51e7XzZfKo+du0gjjvuuIrjo+u5P3XqQU2oTf90d3cDMH78+CZHMnCKXOdq7+099tgDKGadq+nu7qanp6f2igWUt5ydduxyPNcO5Oe5t2PHQCpyDqum3ercLvVNnp8GH8p0/81uwD8H7A3cDmBmawF7AjdX2WYOcJiZjYxNY7k38BrhIlBtr7eTLCZPngwU/0MjxVTtvV0+GIi0olY78a2avMQpkhfxz1QjOl2a1oB395KZnQdcbGavA/cDRwAbABcAmNk4YEN3fzDabCbhYk+3mNl0YFvgROAEd1820HUQERERERlog2qv0jjuPhM4FvgKcD3hKq67uXt5ashTgQdi688nzAU/JFr/UOBkd2+pq7CKiIiIiDRK088gcPcuoKvKsknApETZI8DODQ9MRERERKQFNbUHXkRERERE0unzhZyKYO7cue1beRHJvXa8kFOzYxAR6assc3ZbN+BFRERERPJGQ2hERERERHJEDXgRERERkRxRA15EREREJEfUgBcRERERyRE14EVEREREckQNeBERERGRHFEDXkREREQkR9SAFxERERHJETXgRURERERyZEizA2gGMzsEOA7YDHgUOMbdH2huVNkws8HAFOAQ4L3As8BM4BJ3L5lZB3AScBiwAXA/cKS7P9mkkDNlZsMI/9M/uPukqKyQdTazTwDnAtsALwNXAme5+4oi1jl6b08FDgU2Bv4CnOjud0XLC1NnM9sL+G9374yV1axf9P4/D9gfGAncBnzL3V8cwPAzp5xdjPd1JcrZytkUpM4DnbfbrgfezA4CLgVmA18AFgK3mdmWTQ0sO6cSEsRsYC/gWuD7wLHR8tOAU4DzgS8B6wBzzGydgQ+1IU4H3p8oK1ydzWxn4DdAN7AncDFwPKGeUMA6E97D5wJXAHsD/wvcamYfjpYXos5mthPh89uRWFRP/S4FvgqcAEwGtgVuiQ6kuaScXYz3dS+Us4PC1Zk2ydnQnLzdUSqVsok+B6JvQn8HfuPuh0dlawEO3OTu32pmfP0V/bNfB2a4+6mx8kuAfYFxwIvAOe7+3WjZuwg9Pme4+/cGPursREnhd8BS4GZ3n2RmnRSwzmb2O+ANd/9MrOw84CPAZylmnbuBh939q9HjwYTP86+BE8l5naNemCnA2cASYKi7j4qW1Xwfm9k44G/Al939mmid9xHy2z7u/ouBrlN/KWcrZ0fr5b7OytnFy9nQ3Lzdbj3wWwGbE948ALj728DNwO7NCipDo4GfAMl/uAMbAh8HRrF6/V8HfkvO629mQwjf8qcDL8QWfYSC1dnMNgR2Bi6Ll7v7Ce7+MQpY58gw4M3yA3dfAbwBrEcx6vxpwkHtWOCixLJ66vfx6Pam2DrzCD9b5+U1SFLOzv/7uiLlbOVsilHnpuXtdhsDv3V0+1Si/GlgnJkNjt5guRS9MY6osOizwPOE8aMQfsaKexr4XANDGwjHA0OB7wCfj5WX/+dFqvO/EH6mW2JmNwKfJCTJmcBZFLPOAJcAp5nZL4FHgEnAB4GTKUadHwa2dPeFZnZGYlk99dsaeMndl1RYZ2vySTk7yPP7uhrlbOVsyH+dm5a3260HfnR0uyhRvojwWowc2HAaz8wOBnYFphHq/5a7L0ustohVr03umNl4QkI4uELdiljnDaPbnwBPEnoAZhLG2R1LMesM8APgPuBOwjjo7wOnuvuvKUCd3f0Fd19YZXE99RvNmrktuU7eKGfn/H1diXK2cjYFqXMz83a79cCXTy6oNvB/5UAFMhDM7ADCyRHXE06YOZGC1d3MBgE/Bi6vMitFBwWrM7BWdHubu5dPdLvbzDYgHBDOo2B1jsZC3wZ8APgG4USwXYHTzWwhxfw/x9VTvyK+BsrZBau7crZydpvkbGhw3m63Hvg3otvORHknsMLdFw9wPA1jZscAPyWMqzrA3UuE+g+LTgKL62TVa5M3RxKmXjvVzIZE4yoBOqL7Raxz+X16a6L8DsJ4u4UUr847A/8KfN3df+Du97j7KcD3CD2VSyhenePqeR+/wZq5LblO3ihnF+99rZy9inJ2seqc1NC83W4N+HnR7dhE+VjCWcCFYGbnAl2Eg8E+sZ9v5hG+7SWnXxtLOGkqjz5PGCf6OvB29LctYUqm8uOi1bk8HnhoorycJIpY5/dEtw8myu8DRhB6MIpW57h6PrvzgI3NbHgv6+SNcnbx3tfK2asoZxerzkkNzdvt2IB/jjAfKfDOlGR7AnOaFVSWzGwK4WfXGcAkd18eW/x74J+sXv93Af9Ofut/GLBD4u9vhF6sHYCfUbw6/5Uwa8O+ifI9CVNWFbHO5cbazonyicBywiweRatzXD2f3TnAYMIJkOV13kc4aSyvr4FydvHe18rZqyhnF6vOSQ3N2201Bj66qt15wMVm9jrhilhHEK6OdUFTg8uAmY0Bvgs8TkgIE80svsojhGmOzjazlYQP2MmEs+F/PLDRZsPd1/iGamZLgdfc/ZHocdHqvNLMTgKuMrMfEMbL7gocBBzu7m8WsM5zzexmYKaZrUcYT/kxwkwWM9z9+aLVOc7dF9eqn7v/r5ldB/zIwkVCXifM8PEYcENzIu8f5WzlbIpRZ+XsNsvZ0Pi83VYNeAB3nxn9VDEFOJpwCefd3P3p5kaWid0I867+C1Dp5KANCZf0XQn8F2Hs3e+Bg9y9KGPOKilcnd39J2b2NqFukwm9lF939/I8w4WrM6H36hxCAlyP0Dv7LeCH0fIi1jmunvpNJjRsv0v4hfVOwiW58zzVonJ2sd/XlRSuzsrZbZmzoYF5u62uxCoiIiIiknftNgZeRERERCTX1IAXEREREckRNeBFRERERHJEDXgRERERkRxRA15EREREJEfUgBcRERERyRE14EV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(tracehm1);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
mu154.5944140.4199520.007060153.774296155.4122744066.01.000096
sigma7.7684810.2989190.0049157.1445878.3156483518.00.999963
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" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "mu 154.594414 0.419952 0.007060 153.774296 155.412274 4066.0 1.000096\n", "sigma 7.768481 0.298919 0.004915 7.144587 8.315648 3518.0 0.999963" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(tracehm1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An additional dataframe for the summary is available as well" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/py3l/lib/python3.6/site-packages/ipykernel_launcher.py:1: DeprecationWarning: df_summary has been deprecated. In future, use summary instead.\n", " \"\"\"Entry point for launching an IPython kernel.\n" ] }, { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
mu154.5944140.4199520.007060153.774296155.4122744066.01.000096
sigma7.7684810.2989190.0049157.1445878.3156483518.00.999963
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "mu 154.594414 0.419952 0.007060 153.774296 155.412274 4066.0 1.000096\n", "sigma 7.768481 0.298919 0.004915 7.144587 8.315648 3518.0 0.999963" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.df_summary(tracehm1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A very nice hack to find the acceptance values is below, which I found at the totally worth reading tutorial [here](http://rlhick.people.wm.edu/stories/bayesian_7.html)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 155.33767011, 154.54275493, 154.54275493, ..., 154.02926863,\n", " 154.90246325, 154.90246325])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tracehm1['mu'][1:]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 155.33767011, 155.33767011, 154.54275493, ..., 154.95978387,\n", " 154.02926863, 154.90246325])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tracehm1['mu'][:-1]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def acceptance(trace, paramname):\n", " accept = np.sum(trace[paramname][1:] != trace[paramname][:-1])\n", " return accept/trace[paramname].shape[0]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0.39419999999999999, 0.28739999999999999)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acceptance(tracehm1, 'mu'), acceptance(tracehm1, 'sigma')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How strong is the prior?\n", "\n", "Above we had used a very diffuse value on the prior. But suppose we tamp it down instead, as in the model below." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with pm.Model() as hm1dumb:\n", " mu = pm.Normal('mu', mu=178, sd=0.1)#parameter\n", " sigma = pm.Uniform('sigma', lower=0, upper=50)#testval=df2.height.mean()\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (2 chains in 2 jobs)\n", "CompoundStep\n", ">Metropolis: [sigma_interval__]\n", ">Metropolis: [mu]\n", "100%|██████████| 10500/10500 [00:03<00:00, 3344.15it/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "with hm1dumb:\n", " stepper=pm.Metropolis()\n", " tracehm1dumb=pm.sample(10000, step=stepper)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/py3l/lib/python3.6/site-packages/ipykernel_launcher.py:1: DeprecationWarning: df_summary has been deprecated. In future, use summary instead.\n", " \"\"\"Entry point for launching an IPython kernel.\n" ] }, { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
mu177.8655040.0991950.001663177.665099178.0545484135.00.999966
sigma24.6192650.9498710.01589422.80491726.4863963251.01.000205
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "mu 177.865504 0.099195 0.001663 177.665099 178.054548 4135.0 0.999966\n", "sigma 24.619265 0.949871 0.015894 22.804917 26.486396 3251.0 1.000205" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.df_summary(tracehm1dumb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, so our `mu` did not move much from our prior. But see how much larger our `sigma` became to compensate. One way to think about this is that . 0.1 standard deviation on the posterior corrsponds to a \"prior N\" of 100 points (1/0.1^2) in contrast to a 20 standard deviation. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression: adding a predictor" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(df2.height, df2.weight, '.');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So lets write our model out now:\n", "\n", "$$\n", "h \\sim N(\\mu, \\sigma)\\\\\n", "\\mu = intercept + slope \\times weight\\\\\n", "intercept \\sim N(150, 100)\\\\\n", "slope \\sim N(0, 10)\\\\\n", "\\sigma \\sim Unif(0, 50)\n", "$$\n", "\n", "Why should you not use a uniform prior on a slope?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (2 chains in 2 jobs)\n", "CompoundStep\n", ">Metropolis: [sigma_interval__]\n", ">Metropolis: [slope]\n", ">Metropolis: [intercept]\n", "100%|██████████| 10500/10500 [00:05<00:00, 1951.90it/s]\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] } ], "source": [ "with pm.Model() as hm2:\n", " intercept = pm.Normal('intercept', mu=150, sd=100)\n", " slope = pm.Normal('slope', mu=0, sd=10)\n", " sigma = pm.Uniform('sigma', lower=0, upper=50)\n", " # below is a deterministic\n", " mu = intercept + slope * df2.weight\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)\n", " stepper=pm.Metropolis()\n", " tracehm2 = pm.sample(10000, step=stepper)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $\\mu$ now becomes a deterministic node, as it is fully known once we know the slope and intercept." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(tracehm2);" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(tracehm2);" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0.31979999999999997, 0.2641, 0.28715000000000002)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "acceptance(tracehm2, 'intercept'), acceptance(tracehm2, 'slope'), acceptance(tracehm2, 'sigma')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oops, what happened here? Our correlations are horrendous and the traces look awful. Our acceptance rates dont seem to be at fault." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Centering to remove correlation : identifying information in our parameters.\n", "\n", "The slope and intercept are very highly correlated:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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interceptslopesigma
0130.8672210.5397376.025191
1130.8672210.5397376.025191
2130.8672210.5397375.233514
3130.0662470.5397375.233514
4129.5939330.5397375.233514
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" ], "text/plain": [ " intercept slope sigma\n", "0 130.867221 0.539737 6.025191\n", "1 130.867221 0.539737 6.025191\n", "2 130.867221 0.539737 5.233514\n", "3 130.066247 0.539737 5.233514\n", "4 129.593933 0.539737 5.233514" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hm2df=pm.trace_to_dataframe(tracehm2)\n", "hm2df.head()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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interceptslopesigma
intercept1.000000-0.9973950.353633
slope-0.9973951.000000-0.353698
sigma0.353633-0.3536981.000000
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" ], "text/plain": [ " intercept slope sigma\n", "intercept 1.000000 -0.997395 0.353633\n", "slope -0.997395 1.000000 -0.353698\n", "sigma 0.353633 -0.353698 1.000000" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hm2df.corr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed they are amost perfectly negatively correlated, the intercept compensating for the slope and vice-versa. This means that the two parameters carry the same information, and we have some kind of identifiability problem. We shall see more such problems as this course progresses.\n", "\n", "We'll fix this here by centering our data. Lets subtract the mean of our weight variable." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (2 chains in 2 jobs)\n", "CompoundStep\n", ">Metropolis: [sigma_interval__]\n", ">Metropolis: [slope]\n", ">Metropolis: [intercept]\n", "100%|██████████| 10500/10500 [00:06<00:00, 1723.02it/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "with pm.Model() as hm2c:\n", " intercept = pm.Normal('intercept', mu=150, sd=100)\n", " slope = pm.Normal('slope', mu=0, sd=10)\n", " sigma = pm.Uniform('sigma', lower=0, upper=50)\n", " # below is a deterministic\n", " #mu = intercept + slope * (df2.weight -df2.weight.mean())\n", " mu = pm.Deterministic('mu', intercept + slope * (df2.weight -df2.weight.mean()))\n", " height = pm.Normal('height', mu=mu, sd=sigma, observed=df2.height)\n", " stepper=pm.Metropolis()\n", " tracehm2c = pm.sample(10000, step=stepper)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice we are now explicitly modelling $\\mu$ as a deterministic. This means that it will be added into our traceplots." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(tracehm2c);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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XlacDG1MGbTaXtQjYEpjfqwAlSZKkYTVv6k3W8m7gKGAxsAYISj/xMWBHyswrB/cyQEmSJGlY1a2M7wtcBGwP7EWphL82M5cAe1BaxO/qaYSSJEnSkKpbGd8G+FxmrsnM6yit4rsCZOYFwCnAK3sboiRJkjSc6lbGb6NMYdjwS+DRTY+XAzusa1CSJEnSKKhbGb8UeH5EjFWPr6BqGa/sgN1UJEmSpK7Umk0FGAe+AlwREbsCpwOviojzKK3krwK+1tsQJUmSpOFUq2U8M78OPAu4FvhLZl4CvBnYHTgEuLy6lSRJkjSFui3ja12Rs3r8vog4HliYmX/uZXCSJEnSMKtdGW8nM+8A7uhFWZIkSdKomLQyHhG3AxM1y5zIzI2mH5IkSZI0GqZqGT+L+pVxSZIkSV2YtDKemQfMUhw9Nz4+zqpVq1i0aBHLli3rdziSpCmYtyWNomn1GY+I7YFnAg8GPkG5GNAOmXlxD2NbJ+Pj46xcuZLFixeb1CVpDjBvSxpFtSvjEXEMcDgwn9KF5QJgU+DciPgssH9m3tnTKCVJkqQhVGue8Yh4DfBG4HjgyUDjSpzfBU4E9gaO6GWAkiRJ0rCqVRkHXguck5lHAFc2FmbmTZl5MHAG8JIexidJkiQNrbqV8R2AiyZZ/31KP3JJkiRJU6hbGb8B2G6S9Y8Bbpx2NJIkSdIIqVsZPwv494jYtWnZBEBEvBR4BfC5HsUmSZIkDbW6s6m8HdgF+A7wW0pF/EMR8XfANsBl1TaSJEmSplCrZTwzVwO7A68Cfg5cBawPrAAOAZ6QmX/pdZCSJEnSMKrVMh4R7wG+lpmfoFzsR5IkSdI01e0zfiiwdCYCkSRJkkZN3T7j1wJbz0QgkiQ1jI+Ps2rVKhYtWsSyZcv6HY4kzZi6lfFjgA9HxLaUOcVvBNa0bpSZZ/cgtp4xqUvS3DI+Ps7KlStZvHixeVvSUKtbGT+9ut2n+mtnAhi4yrhJXZIkSYOmbmV89xmJQpIkSRpBdSvjrwDOzcwvzEQwkiRJ0iipO5vK3jiAU5IkSeqJupXxn+PUhpIkSVJP1O2mcgZwTEQ8CriY9rOpTGTmcb0ITpIkSRpmdSvjJ1S3O1d/7UwAVsYlST3h9LSShlndyvj2MxLFLDKpS9Lc4vS0koZZrcp4Zl7b/DgiNgHuzMy/9jSqGWRSlyRJ0qCo2zJORGxDuRLns4FNq2U3A+cBR2XmdT2NUJIkSRpStSrjEfEQ4BJgS+AbwApgPhDAi4E9ImKnzPxtrwOVJEmShk3dlvH3AhsBu2Tm8uYVEfFY4CLgXcCBvQlPkqR7Oe5H0rCpWxnfAzihtSIOkJk/iYgTKVfplCSp5xz3I2nY1L3oz0bA9ZOsv4GqH7kkSZKkydVtGb8C2CciTsrMieYVETEP2Be4slfBzTR/7pQkSVI/1a2MHwucBVwYEePA1dXyAA4Dngjs37vwZpY/d0rS3GWDiqRhUHee8XMiYmvK1IZfblo1BtwBHJmZn+5hfLPKxC5Jc4cNKpKGQe15xoH/okxn+EdgK0pF/HfV/RN6F9rsM7FLkiRpNtWdZ/zBwAXAw4CdM/OT1fJTgAOAF0XE0zPzjzXKfCVwBPAg4DLgsMz8QZ24ZoKt5JI0d5izJc1VdVvG3w/cH3hq8/SGmfnyiPgE8HnKXOSv7KawiHgZ8DHgncCPgdcBX4+If8jM39SMraeaW8kBk7wkDTBztqSZ0vxlf8899+x5+XUr408BPpCZ32pdkZkXR8SHgFd3U1BEjAHvAD6eme+oll0AJHAo8Pqasc0Yk7wkzR3mbEnrqrkC3pxTrr/+evbbb7+ePlfdyviGwF2TrL8N2KzLsnYEtgW+1FiQmX+LiPOBZ9SMa9YMU5Jv/qABbe8vW7as43Yzccydnmsmvon6s7ZmU6fP9kwkdt1rmHL2oOjm3DETOVvqlW4+w625o+G0007rec4em5iYmHqrStVy/SBgp8y8rWXdhsAPgZsz88ldlLUXcB7w8My8umn5ocAHgPUz8+5u4lq+fPnEm//rCgDWrFnDvHnzat/ffIvNuemPN017/4ULFzIxsYaxsXksWLigm7Cnr/GejY2ttfj21be3jaF5edm93F+9evU6vS6bb7F5Tw6nOb5OMS1YsICJiYlyv4vXt9Mxdzr+5veveZvJnqub51iX+xMTE/ccc7cxzRWdXrtOx9zN/V59Lnr5+nbz2QY45hV/z9KlS8cmK2vY9CJvr8v9XuWvrnTI2b1UN/+vy+e8m3Nlc85uft5O96cTT6djnmkdX9MFG5YNevg+9+sYuzYLn+266p7/oX4e6XXOrtsy/g7gm8DlEfFJ4FfV8h2AFwPbAU/rsqxNqttVLctXUa4MuhHwl24DW39htw3y7a1affc6lXEXlHllqrL6Y/0OMdy7HLjn/voL15+yxMlel94d5/pTxnQ3wBis6fp52x9z8/3m57qrwzaTP9fUz7FO98e455i7j2mu6PDadTjmbu736nPR29d36s/2KFvXvL0uhuP/qFm9/L8ux9/N+9acs5uft9P96cXT6ZhnWofX9PY1bbfu1XMN32d2ptQ7/w+CuvOMfz8ingEcB7ytZfXPgT0z87tdFtd4eTo1zdf6VN9/kw3qbD5rbr31NiYmJhirvjU27t966621voltvPHG9+y7Zs0aJibWMH/+emy88Ub9ObBJNB9zr+L7212ld9T91pvObJxzU91j7vRZa77fzeeu+bPWvG/ze9n6Hnd67rrv/yC/z706xlaNYx5Fg5K3//CH6/vSOt98f6utHthVHM3/n73Kr93kjmH6X27Vq3NWN8fcyzzSXNa61Cm6ee5e1WV6dX8m/g+6NRM5u/Z/STV4c6eI2BJ4CGXO8esy8/c1i7qlul0EXN+0fBFwd2beWqew098+sN3M2+qmv1Lz/WXLXnbPvitWrABgyZIlsxx1/3jMvdHdOIGXTVbEjBrV93n16tX9DqMvBiVvdxqoBUz7/rJly9YaF3Dbbbexww47AJ3/77beeuspy+rn/2cdo/q/DP055nWpU6yLI444YsrPdvP9uv9fzZ/9mYh/OmYiZ0/7K2tm3gDcsA7P3egnvgP3dndpPP7lOpQ7Jzh4SP3g5066r9b/i+aKQ91y2g0Q7baS1rni4f+tJtevz8iBBx4I1PsCUu9Lw2h89vv5+9HVwHXAc4FvAETE/YC9gPP7GJckaUR1qph3c39dKw6jUvHQ6PIz3l7fKuOZORER7wM+HBF/Bi4GXgtsARzfr7gkSQIrDpJmx7x+PnlmfgQ4HHgJ8FnKHOV7ZOav+xmXJEmSNBv6Psw5M8eBeh3zJEmSpCFQ66I/g2r58uVz/yCGxI033sjBBx/MbrvtxkEHHdTvcLry/e9/n3PPPZfjjjuO9bqchuvKK6/k3e9+N/vssw/Pe97zehbL61//eubPn8/xx/eup9bdd9/N+eefz3e+8x3++Mc/cv/735/dd9+dvfbai/nz59+z3VlnncWvf/1r3vSmN/XsudW9UbzoT79jUGHeXjczkbebrV69miOOOIKnPOUp94nbvN0/vczZQ1EZ1+CIiO2A3wCfyMxX9DmcKUXEA4ErgVdk5udr7Lcb8C3grZn57h7G81xgIjO/2MMyTwEOBP4b+B7wZOCFwKmZ+fKm7TamzGz05sw8pVfPL2mwmbfXOZ6e5+2mshcAXwF2o03c5u3h0Nc+49IAOA64pk5Cn0mZ+YUeV8QfT6mIH5+Z+2fmyZn5IuAjwIERsUvTc98KvB8Yj4hNexWDJPXYUOfthoh4BPADSkW803Obt4eAlXGNrIh4CKWF+KP9jmUGvbS6/Y+W5cdWty9pWX4qsCHwqpkMSpKmY0TyNhHx75Qrm2/H1DPMmbfnuL4P4NTcEREbAccAz6RcffUvwPeBd2bmZVPs+/fA2ynf8DcBrgU+A7w3M29v2m4COAm4FHgz8GDg18BJ1ew7zWXOB14PvBx4GLAa+A7w9sz8eReH9Prq9pw28e4MvAl4EiXJJfAfmXlmy6brRcTbgAOAbarjOgk4ITMnWso7HNgVeABwG/CT6vgvaNruGuCuzNyxenwaZS7+pZQK9P8DNgAuAd6SmT+Y4hgfD/whM/+/5oWZeW1E3ADs3LL85oj4GvD6iBjPzLunKF/SADNvz8m8DfB/gU9RXs+HA4d22tC8PffZMq46zgYOAr4A/DsleT0Z+F5EPKjTThHxZODHwFOB/6QklcuBtwLfqvrENdsL+Diln9yRwC3ASRHx/qYyxygnhfGqrEOBE4BdgEsi4kldHM9zgR9l5i0t8T6DcrJ6QnWMhwO3AmdERGtCfAOwP6Xbx+HA3ZRW6IOayntiVd6jKC0crwY+ATwO+EpEPHKKODek9PWeRznRHF/FdkFE3H+KfR8E/LbDut8B27dZfiHlBLXTFGVLGnzm7bmXtwFem5kHZObvu9gWzNtzmi3j6kpEPADYE/hIZh7RtPynwPuAx9Cm0hcR84BTgAlgp8z832rVRyLiaEqryxuAdzXtth2wd2aeW5XxUUrLybKI+HhVxn7A3sDBmXlC0/OdRPlp7+NAx2QZEQ8GHkp19dem5WOUnz//BPxDZl5fLf8E5cR0VPUcDbcAj2ucGCLiS5QWoRcAJ1fbHA78DXhyZt7Y9FxZbfMMymCkTjYAzs7MQ5r2/Qvldf8Xyomyk00pJ6R2VgMbtVneaC3bHfjhJGVLGmDm7Tmbt8nMOyZb34Z5ew6zZVzduqX62zciDoqILQEy80uZ+cjM/HKH/R4L7ACc3pTQG95HqSju27L88kZCr57jb8AHgPnAc6rFL6CcKL4QEVs0/qpl5wFLImLJJMezY3X7q5blj6GcVM5oJPSmGJ5PacG5q2n7LzW30GTmNcBKYOumbf4F2K4loW9QxQqw8SRxNvx3y+NLq9utpthvsqmXxoA1bZY3XpMd26yTNHeYt+dm3p4O8/YcZsu4upKZd0bEgZSBIicDH4uInwFfBU7LzF922HWH6vYXbcr8a0T8L/dNHvfZFriqun1odftwSmXy2knC3hZY0WHdA6rbW1qWN7ptXNWynOYrw0ZE4+4f2pR9O6VVpLHfmojYMiKOBP5P9Rzbc+//Xzdfiq9vedxoNZnfumGLW4GFHdYt5L7HD3BzdfuANuskzRHm7Tmbt6fDvD2H2TKurlXTSD2I8lPjqcBmlL5wV0bE3h12m2pS/Hncm6Aa2v0810hejdaNeZTk87RJ/pZP8ryNAS6tSfF+1W23E/BPOVCmGhV/OWUGgBuB0yj9Hp/V5XNA+xbsbvyG8p61sw1wXZvljdfEQUDSHGfenrScjvqct6fDvD2H2TKurkTEIkrrwDWZeTZlUBAR8Y+UgSNvBD7bZtdGq8Sj2pS5IaUF5uqWVQ9rU84jqtusbn9DaWW5NDNvbt6wmlt7E0qf6E5WVrdbtCy/prp9eJt4n0/5ufUdk5Tbus+GlDlgrwJ2ruaEbazbr9ty1sGPgVdFxDaZ+bum596O0oLy6Tb7NF6TlW3WSZojzNtzNm9Ph3l7DrNlXN1aAlwMHNWyfDmlReSu++xR/ISSgF8WEQ9tWXckZQDh51qWP7EayQ5ARKxPGSx0B2VGAIBzKa03ayXYqk/kFyiVzMlaJa6pbrdtWX4pZZaR/ZtHvFfTcR0BPA/odnQ7wALKMf6mJaEv4N4pumbyS/GnqtvDW5Y3Hp/eZp/Ga3LNTAQkadaYt+dm3p4O8/YcNmgfJg2ozPxRRHwVeHWUq3x9lzJ10/6UgSzjHfa7OyIOogzOuTQiPkJJmrsB+1BOCh9o2e2vwNcj4gRKn7v9KdNJLWua5uk0ys+ur4+IhwPnU5LnvwFbAi9tnge3TVy/j4grKPPHNi+/KyJeQzlp/DQiPk75WXU/yiCgl1d9Jid7uZrL+3NEfB/YMyL+i3I1ta2Al1Hm4oUy48mMyMzvRsRngIMjYnPK7Aa7Ay8CPp6ZP2mzW+M1+fpMxSVp5pm352benibz9hxmy7jq2JcyldVjgQ8C7wRWAc/KzPtcgKE+F36YAAAgAElEQVQhMy+kzK/6LUrS/SDlp9O3AU9qk3wvBg6mVBjfR+kHuHdmfrCpzLso89o2LjDxAUorzP8Ce7S5yEM7XwQe2ZhhoKnsL1FOOisorSrvpfTHe3ZmntpFua32AT5Zxfth4F8pU0/9PeUE9/RplFnHyyjv1T9Wz/84SuvWazpsvztwbZcX4JA02MzbczNv12XensPGJia6He8gzbwoV3L7ZmY+dRaea1tKv8c3Z2ZrK89IiojG1ejenJnH9jseSYPPvN1f5u25z5ZxjazMvBY4A/jX6qIRKpeovplyZTpJGijm7bbM23OclXGNurcDiynTV420iNgMOAR4a/OgJUkaMObtinl7OFgZ10jLzN9S+jm+pxr9P8reDPwU+Fi/A5GkTszbazFvDwH7jEuSJEl9MjAt4xHxzxGxqt9xSJIkSbNlIOYZry4UcCZTX4K3reXLl9u8L2lOW7p06UgNRjNvS5rLepmz+1oZj4gNKP2+3gXcBky779fSpUt7FdbAW7FiBQBLlizpcySzx2MeDaN6zKtXT3YF8OE1Knl7VD/X4DEPu1E95l7n7H53U3km8CbKpblP7HMskiRJ0qzq6wDOaqL62zLz5og4GnhDZm5ct5zly5dPLFy4sOfxDarbby8XPluwYEGfI5k9HvNoGNVjnpiYGMluKqOSt0f1cw0e87Ab1WPudc7ua8t4Zv4uM2/uRVmnnjqdq91KkvrFvC1JAzKAsxfOPPNMjj12NK4CO6p9tMBjHnajesyj2md8VPL2qH6uwWMedqN6zMPWZ1ySJEkaWVbGJUmSpD6xMi5JkiT1iZVxSZIkqU9qD+CMiDFgV+CBwPx222Tm2esYlyRJkjT0alXGI+LRwHnANnS+dP0EULsynplHA0fX3U+SJEmaq+q2jB8P/B3lqpmXAXf0PCJJkiRpRNStjD8BeE9mDv/EsJIkSdIMqzuA85bqT5IkSdI6qlsZ/xRwYEQMzZU7JUmSpH6pW6n+EbA38IuIOA+4EVjTss1EZh7Xi+AkSZKkYVa3Mv7ppvuHdthmArAyLkmSJE2hbmV8+xmJQpIkSRpBtSrjmXlt8+OI2AS4MzP/2tOoJEmSpBEwnStwbgMcAzwb2LRadjPlYkBHZeZ1PY1QkiRJGlJ1r8D5EOASYEvgG8AKYD4QwIuBPSJip8z8ba8DlSRJkoZN3Zbx9wIbAbtk5vLmFRHxWOAi4F3Agb0JT5IkSRpedecZ3wM4obUiDpCZPwFOBJ7Ri8AkSZKkYVe3Mr4RcP0k62+g6kcuSZIkaXJ1K+NXAPtExFjrioiYB+wLXNmLwCRJkqRhV7fP+LHAWcCFETEOXF0tD+Aw4InA/r0LT5IkSRpedecZPycitqZMbfjlplVjwB3AkZn56bY7S5IkSVpL7XnGM/NDEXEG8DRgW0pF/Brgwsy8qbfhSZIkScOrdmUcIDP/ROmuMlDGx8dZtWoVixYtYtmyZf0OR5IkSZrUpJXxiPgKcGxmfrvp8VQmMnOvHsRW2/j4OCtXrmTx4sVWxiVpDrARRdKom6plfAmwSdPjRwITMxeOJGmU2IgiadRNWhnPzO1bHm83o9FIkiRJI6TWPOMRcUpE7DLJ+t0j4sud1kuSJEm611R9xjdk7W4qBwA/iojftNl8HvAc4Kk9i06SJEkaYlP1Gd8MuApYVD2eAE6q/toZA77Vm9AkSZKk4TZVn/E/RMQLgZ0pFe23AZ8Hft5m87uBGxnAKQ8lSZKkQTTlPOOZ+VXgqwARsS3wscz84UwHJkmSJA27Whf9ycwDp9omIiIzc/ohSZIkSaOhVmU8ItajdFV5OrAxa8/Gsh6lb/mWwPxeBShJkiQNq1pTGwLvBo4CFgNrgKD0Ex8DdqTMvHJwLwOUJEmShlXdyvi+wEXA9sBelEr4azNzCbAHpUX8rp5GKEmSJA2pupXxbYDPZeaazLyO0iq+K0BmXgCcAryytyFKkiRJw6luZfw2yhSGDb8EHt30eDmww7oGJUmSJI2CupXxS4HnR8RY9fgKqpbxyg7YTUWSJEnqSq3ZVIBx4CvAFRGxK3A68KqIOI/SSv4q4Gu9DVGSJEkaTrVaxjPz68CzgGuBv2TmJcCbgd2BQ4DLq9u+Gx8f5+ijj2Z8fLzfoUiSJElt1W0ZX+uKnNXj90XE8cDCzPxzL4NbF+Pj46xcuZLFixezbNmyfocjSZrC+Pg4q1atYtGiReZtSSOjdmW8ncy8A7ijF2VJkkaTjSiSRtGklfGIuB2YqFnmRGZuNP2QJEmSpNEwVcv4WdSvjEuSJEnqwqSV8cw8YJbikCRJkkbOtPqMR8T2wDOBBwOfoFwMaIfMvLiHsUmSJElDrXZlPCKOAQ4H5lO6sFwAbAqcGxGfBfbPzDt7GqUkSZI0hGrNMx4RrwHeCBwPPBloXInzu8CJwN7AEb0MUJIkSRpWtSrjwGuBczLzCODKxsLMvCkzDwbOAF7Sw/gkSZKkoVW3Mr4DcNEk679P6UcuSZIkaQp1+4zfAGw3yfrHADdOO5oZ4lXdJEmSNIjqVsbPAv49Is4DrqqWTQBExEuBVwAn9S683vCqbpIkSRpEdSvjbwd2Ab4D/JZSEf9QRPwdsA1wWbWNJEmSpCnUqoxn5uqI2B04AHgOZX7x9YEVwHHAyZl5R6+DlCSNFrsXShoVtSrjEfEe4GuZ+QnKxX4kSeo5uxdKGhV1Z1M5FFg6E4FIkiRJo6ZuZfxaYOuZCESSJEkaNXUHcB4DfDgitqXMKX4jsKZ1o8w8uwexSZIkSUOtbmX89Op2n+qvnQlgYCvjDgqSJEnSoKhbGd99RqKYRQ4KkiRJ0qCoWxl/BXBuZn5hJoKRJEmSRkndAZx74wBOSZIkqSfqtoz/HKc2lCTNIsf6SBpmdSvjZwDHRMSjgItpP5vKRGYe14vgJElyrI+kYVa3Mn5Cdbtz9dfOBDAnKuO2tkiSJKmf6lbGt5+RKPrE1hZJkiT1U63KeGZe2/w4IjYB7szMv/Y0KkmSJGkE1G0ZJyK2oVyJ89nAptWym4HzgKMy87qeRihJkiQNqVqV8Yh4CHAJsCXwDWAFMB8I4MXAHhGxU2b+tteBzgb7kEuSJGk21W0Zfy+wEbBLZi5vXhERjwUuAt4FHNib8GaXfcglabDZaCJp2NStjO8BnNBaEQfIzJ9ExImUq3TOeSZ8SRo8NppIGjZ1K+MbAddPsv4Gqn7kc50JX5IkSTOtbmX8CmCfiDgpMyeaV0TEPGBf4MpeBTcobCWXJEnSTKhbGT8WOAu4MCLGgaur5QEcBjwR2L934Q2G5lZywIq5JA0AG0okDYO684yfExFbU6Y2/HLTqjHgDuDIzPx0D+MbOFbMJWkw2J1Q0jCoPc848F+U6Qz/CGxFqYj/rrp/Qt3CIuKVwBHAg4DLgMMy8wfTiGvWdaqYN9/3BCFJkqRO6s4z/mDgAuBhwM6Z+clq+SnAAcCLIuLpmfnHLst7GfAx4J3Aj4HXAV+PiH/IzN/Uia3fWivmVtIlafbYZUXSXFW3Zfz9wP2BpzZPb5iZL4+ITwCfp8xF/sqpCoqIMeAdwMcz8x3VsguABA4FXl8ztoFUt5Lezf0999xztg9DkgbaXOmy0vylAdZuoOm0rnW7dmUN8jFLg2yy/8nZUrcy/hTgA5n5rdYVmXlxRHwIeHWXZe0IbAt8qamMv0XE+cAzasY150xWSZ/q/vXXX89tt93GDjvsYAKWBlg3lavrr7+e/fbbr59hDp1Bq6Seeuqp9+TsTrm/URnv5lzQODa7SmqQDEKltlvNsXbTaDrTxzA2MTEx9VaViLgFeEdmfrDD+kOAd2fmxl2UtRdwHvDwzLy6afmhwAeA9TPz7m7iWr58+cSb/+sKANasWcO8efNq3998i8256Y83TXv/ft1fuHAhExNrGBubx4KFC7p5ueak1betZmJi4p7jbxxzp/tD8Vo0/jfHxvobx2ya48d8++rb1/oMdptTjnnF37N06dK5edDT1Iu83c392cyRze8/3JuPVq9e3bdzUN/OEQP+v9zpvVqn12gIjrnTNp3uT0xM3HNu7vQ5b/4Mdiqnl5/Nbo6hm//JTsewYMGGLHve1j3N2XVbxn8EvDIiTs7M25pXRMSGwIHAfa7O2cEm1e2qluWrgHmUCwz9pdvA1l+4WbebtrVq9d3rXEY/3AVlCC3lGIbW2AYwBmvuedy87r73h/q10ABbf63P4FzMKbNpNl6f2c2R67fNR+svXH/KPWfq8zIy54ja2r9Xw/0adXPM7bfpeH+Me87NnT7nzZ/BTuX09nWf+hi6+Z9sttb/0e1rJtt0WupWxt8BfBO4PCI+CfyqWr4D8GJgO+BpXZbVeHk6Nc3XOtr7b7JBnc3ntL/ddRcA91tv7bfv1ltvY2JigrHqW3nj/q233jrtVpWttnogf/jD9fc83njjjds+Rzf3N954o7axNi+ve8yDopvXvvm1W5f3pPl+3fej03vQaftu4mz9jKzL8XRzbJ0+L52Op5vPVz81PtujqJ95u1ef2a22euCUzzWI+aub/5duckSn+2vWrGFiYg3z56/X1faT/Z/WPV/0yrrkyE75vpuc3U2OG5S8Noif7Zk2Ezm77jzj34+IZwDHAW9rWf1zYM/M/G6Xxd1S3S4Crm9avgi4OzNvrRPb6W8f+m7m91ixYgUAS5Ys6Wr7bvpGLVu2rENfr5e19L982cwc1BTqHvOg6PTadfOe3HXXXdx4442Tvlcz/X50E+fXf/97tt5662mPgWg+nrXHQ/TnszbbVqxYwerVq/sdRl/0M2936t86nRw5lbmav9bFqBxz8+eoU/4ahHPoTBmV97nZTOTs2l9lqsGbO0XElsBDKHOOX5eZv69ZVKOf+A7c28LeePzLunGps9aBB3UHWAzi4Iu5otNr18170pzYm5fP5vvRTZyN7ZorM92U2+54RjGxqz8m+z+aK4PQ1H/d5C8/O5rKtH9XyMwbgBvW4bmvBq4Dngt8AyAi7gfsBZy/DuVqEiaFwdPpPRm0immdL2x1pmeTBomfTUmzrW+dfDJzIiLeB3w4Iv4MXAy8FtgCOL5fcUlaN1ZmJEnq3rx+PnlmfgQ4HHgJ8FlgM2CPzPx1P+OSJEmSZkPfh79m5jgwdSdTSZIkacjUuujPoFq+fPncP4g57sYbb+Tggw9mt91246CDDup3ONO2cuVKjjrqKN71rnex9dZbd73fi170Ih71qEfxlre8pWexfOxjH+O73/0uJ554IptvvnnPyv3xj3/MF7/4RX73u9+xwQYbsNNOO7Hffvvd068b4PLLL+cjH/kIxx13HBtvPOU1vNQDo3jRn37HMMrM2XMnZzc77rjjuPPOO+8Ttzl79vUyZw9FZVz9FxEbAc8DfpWZl/Q7numIiDHgu8BPMvPgmvtOAN/MzKf2MJ4nAA8FPpeZPZlHKSJeCpxOGaPxGeBBwCGUAdW7ND9PRJwP3JSZL+3Fc0saHObsuZGzW8p/P3AEHeI2Z89dfe+mouFQXZH1zH7HsY4OBHYC/qXfgQBk5g+AH/SqvOrk+0Hgh8Dumfm3avly4GzgdcD7m3Y5CvhJRHwiM7/Tqzgk9Z85u/d6nbMbImIz4GPAflNsas6eo/o6gFMaFFULyxHAudW0ncNoL2Bz4CONijhAZp4DXEMZSE3T8p8ClwBHzmKMkjSlEcnZjdb2XwH7AO+cbFtz9txly7imVLWoHgM8k3Khp78A3wfemZmXVdtsB/wG+ERmvqJp32cCbwb+L/BX4FzgPODLwIGZeVrTvsuAMeDVlO4T/0u50usXgbcA/wrcH7gcOKxqhWg8z4bAYcDewMOB+wG/q/Z9axdXdN0LiKqM1uNfXMWxF/AAyvz4ZwLHZebtLdvuC7wJWAL8GTgHeEtmrmraZptqm2dUx3k3Jdn+Z2Z+uGm704CXAQ/OzN9GxAHAqcA/UlqC9qVMBZrABzPztCmO8fHV7Q/brPsRsE9EbFS1mDV8Bjg+IpZk5oopypc0AMzZQ5Ozobw2vwAOz8wfRUTr1c9bmbPnICvj6sbZwP8DTqQkkQcBrwe+V/3D/7bdThHxIkoC/BXwLsrn7VWU5NvOIZQkdxIwAbyRklguBBZTZt1ZREmKX4yIHTPzL9W+n6WceP4T+CiwUfU8hwAPBF40xTE+F7gL+HbLMWwNLKecUD4OXAHsArwDeGy1X8PjKT+ZnkT5SfG5lK4fDwBeWJW3GaUyvAD4CKVFeivglcCJEXFnZn58iljPoJw0jqP8unUIcGpErMzMr0+y34Oq23bv1+8oJ9XtKIm/4cJq+T8DJnZpbjBnD0fOBvhMZp4+xTbNzNlzkJVxTSoiHgDsSenacETT8p8C7wMeQ5vKXdXqcQLw/wE7NRJwRHyctSt7zTYHHpaZv6+2XU1Jfn8PRGNATFX2W4DHAd+MiH+gtIAc1xLjhyktNc/q4lB3B65uM+jmvZTEu3tmfrtadnJE3A68JiJ2ysxLq+UbUQZB/qh6/v+iJMPnR8T6mXknpdVkG2CvzPxKU6znUE6az6KcQCZzE/D4zLyr2vdiyk+TLwUmS+ybAhMtLd8NjePeqGX5VZTWsd1Zuz+5pAFkzh6qnE1m3jFF2a3M2XOQfcY1lVuqv30j4qCI2BIgM7+UmY/MzC932O8plER9QlNLCJn5R0rCb+f7jaReaXyrP78l4V5d3W5TlfkzSkXz6JbytgL+BEw6z1NEzAe2p7QGNS8fA54DXNqU1BveBjya8vNrw1WNpF7FdTfwY2B9ymtBZn6I0urz1ZbnWZ/SstTNnFRnNZJ6ZXl1u9UU+002DVNj3ZrmhdUxXAPs2EVckvrPnD08Obs2c/bcZMu4JpWZd0bEgZR+bycDH4uIn1ES02mZ+csOu0Z1e1WbdVd22OcPLY8byev6luV3V7fNXybvAF4cEU+lJKGHUn6m7MbmlMroLS3L7085YdznGDLzJkprR7PW+AEa/RM3aFn+xojYBdihinVhtbybL8hrvR6ZeVdE3A3Mn2K/W4GxiFjQ2m+y6flbXwOAm4FHdhGXpD4zZw9Vzp4uc/YcY8u4ppSZn6f0OdyPkuA3o/QBvDIiOvUlXL+6bfcTW6f5V//WYfmkk+FHxP2Bn1H6Hm5FmUP7SOD/AN+abN9K40TRmhjv183ztymno4h4PKU1583Voi9TBjk9iJZW6Ul0u12r31S3D2qzbhtK/L9vs24+XRybpMFgzh6anD1d5uw5xpZxTSoiFlES5DWZeTZlYBAR8Y+UgSJvpAzEadVofXkE8M2WdY/ocZivobTq/GtmntK8ohpVP6nMvCki7qSMcm92I3AbZTT7WiLiYcC7gVO6GIDT7N2UFpVHNrdQRcQDmfkvxz+ubnfm3p+NaVr2iw79ybcAVs5kYJJ6w5w9VDl7uszZc8ygfpA0OJZQWi2Oalm+nNKCctd99ii+Qfmp7FUR0fg5j4jYGPi3HsfYSMjNfQGJiOdQnUQiYqovntcC2zYvqPrenQ/sXLWONHsVZZqqqabfahfrKkqfvmaNeWFn8gvy+ZQpzg6OiEYLEhGxD+XY7zNiv9puMfeNV9JgMmcPT86uzZw9Nw3Uh0iDp5rX9KvAqyNiU8qlhzcE9qcMXBnvsN+tEXEIcBpwaUScSunj9wru7SbR7U+JUzkPOBj4dER8hJJsn0SZGuuvVbybct/+gs2+Drw2IraoBiw1HEkZlX5RVfbVwBMpF8j5ZGZeXDPWL1NOkl+LiLMpPw0/D3gy5US5ac3yupaZqyLiCMoUXt+JiNMpUxkeAvyU0r+01VLK61enJUlSn5izhydnT5M5ew6yZVzd2Jcy5+xjKZdTfyelpeBZ1dUb26rmRt2b8rPhO4HDgQsoo9qhfd/E2jLzQkoSv7WK8xjKT6CvoSR8gKdPUcwXq9vdW8q+hjIP7dmUk9l/UJLdMspJqq53Vn/bVmUdSXkdnkK5uMYjqwtMzIjMPBl4MeVn1w9RTlCnAU/v0EWl8Xp8aaZiktRz5uwhydnTYM6eg8YmJnr1RVe6V0RsAGyUmX9qs+5Iyny3zfPA9lVEzKPMGPCrzOxmjtuREBErgN9k5p79jkXSzDFnDwdz9txky7hmyhbATRHxn80Lq/5sL6C0LPy0H4G1k5lrgPcAz4iIdrONjJxqwNcjKC1XkoabOXuOM2fPXbaMa8ZExPmUyx2fDvwP5WpnL6TM3HF4Zn6gj+HdR3Uhif8BfpaZB/U7nn6LiG8Cf8zM/fodi6SZZ86e28zZc5eVcc2YakT+wZQ+ytsDd1Lmlj0hMz/Xz9g6iYhHUKYA3DkzV0y1/bCKiD0p8xM/qmVwlKQhZc6eu8zZc5uVcUmSJKlPBqbPeET8c0Ss6ncckiRJ0mwZiHnGI+KJwJmUOU1rW758uc37kua0pUuXTiv/zVXmbUlzWS9zdl8r49VUSgdTRv7eRplMf1qWLl3aq7AG3ooVpVvckiVL+hzJ7PGYR8OoHvPq1av7HUZfjEreHtXPNXjMw25Uj7nXObvf3VSeCbyJcmGBE/sciyRJkjSr+jqAs7pq1W2ZeXNEHA28ITM3rlvO8uXLJxYuXNjz+AbV7bffDsCCBQv6HMns8ZhHw6ge88TExEh2UxmVvD2qn2vwmIfdqB5zr3N2X1vGM/N3mXlzL8o69dRTe1GMJGmWmLclaUAGcPbCmWeeybHHHtvvMGbFqPbRAo952I3qMY9qn/FRyduj+rkGj3nYjeoxD1ufcUmSJGlkWRmXJEmS+sTKuCRJktQnVsYlSZKkPqk9gDMixoBdgQcC89ttk5lnr2NckiRJ0tCrVRmPiEcD5wHb0PnS9RNA7cp4Zh4NHF13P0mSJGmuqtsyfjzwd5SrZl4G3NHziCRJkqQRUbcy/gTgPZk5/BPDSpIkSTOs7gDOW6o/SZIkSeuobmX8U8CBETE0V+6UJEmS+qVupfpHwN7ALyLiPOBGYE3LNhOZeVwvgpMkSZKGWd3K+Keb7h/aYZsJwMq4JEmSNIW6lfHtZyQKSZIkaQTVqoxn5rXNjyNiE+DOzPxrT6OSJEmSRsB0rsC5DXAM8Gxg02rZzZSLAR2Vmdf1NEJJkiRpSNW9AudDgEuALYFvACuA+UAALwb2iIidMvO3vQ5UkiRJGjZ1W8bfC2wE7JKZy5tXRMRjgYuAdwEH9iY8SZIkaXjVnWd8D+CE1oo4QGb+BDgReEYvApMkSZKGXd3K+EbA9ZOsv4GqH7kkSZKkydWtjF8B7BMRY60rImIesC9wZS8CkyRJkoZd3T7jxwJnARdGxDhwdbU8gMOAJwL79y48SZIkaXjVnWf8nIjYmjK14ZebVo0BdwBHZuan2+4sSZIkaS215xnPzA9FxBnA04BtKRXxa4ALM/Om3oYnSZIkDa/alXGAzPwTpbuKJEmSpGmatDIeEV8Bjs3Mbzc9nspEZu7Vg9gkSUNufHycVatWsWjRIpYtW9bvcCRp1k3VMr4E2KTp8SOBiZkLR5I0SsbHx1m5ciWLFy+2Mi5pJE1aGc/M7Vsebzej0awjW1gkSZI0l9TqMx4RpwAnZ+YPO6zfHTgsM5/di+DqsoVFkiRJc8lUfcY3ZO1uKgcAP4qI37TZfB7wHOCpPYtOkiRJGmJTtYxvBlwFLKoeTwAnVX/tjAHf6k1okiRJ0nCbqs/4HyLihcDOlIr224DPAz9vs/ndwI045aEkSZLUlSn7jGfmV4GvAkTEtsDHOvUZlyRJktS9WgM4M/PAqbaJiMjMnH5IkiRJ0mioO5vKepSuKk8HNqYM2mwuaxGwJTC/VwFKkiRJw2re1Jus5d3AUcBiYA0QlH7iY8COlJlXDu5lgJIkSdKwqlsZ3xe4CNge2ItSCX9tZi4B9qC0iN/V0wglSZKkIVW3Mr4N8LnMXJOZ11FaxXcFyMwLgFOAV/Y2REmSJGk41a2M30aZwrDhl8Cjmx4vB3ZY16AkSZKkUVC3Mn4p8PyIGKseX0HVMl7ZAbupSJIkSV2pNZsKMA58BbgiInYFTgdeFRHnUVrJXwV8rbchSpIkScOpVst4Zn4deBZwLfCXzLwEeDOwO3AIcHl1K0mSJGkKdVvG17oiZ/X4fRFxPLAwM//cy+AkSaNjfHycVatWsWjRIpYtW9bvcCRpVtSujLeTmXcAd/SiLEnSaBofH2flypUsXrzYyrikkTFpZTwibgcmapY5kZkbTT8kSZIkaTRM1TJ+FvUr4wPBnzslSZI06CatjGfmAbMUR8/5c6ckSZIG3bT6jEfE9sAzgQcDn6BcDGiHzLy4h7FJkiRJQ612ZTwijgEOB+ZTurBcAGwKnBsRnwX2z8w7exqlJEmSNIRqzTMeEa8B3ggcDzwZaFyJ87vAicDewBG9DFCSJEkaVrUq48BrgXMy8wjgysbCzLwpMw8GzgBe0sP4JEmSpKFVtzK+A3DRJOu/T+lHLkmSJGkKdSvjNwDbTbL+McCN045GkiRJGiF1K+NnAf8eEbs2LZsAiIiXAq8APtej2CRJkqShVnc2lbcDuwDfAX5LqYh/KCL+DtgGuKzaRpKkafPCbZJGRa3KeGaujojdgQOA51DmF18fWAEcB5ycmXf0OkhJ0mjxwm2SRkWtynhEvAf4WmZ+gnKxH0mSJEnTVLebyqGUAZrfm4FYZow/d0qSJGkQ1a2MXwtsPROBzCR/7pQkSdIgqlsZPwb4cERsS5lT/EZgTetGmXl2D2KTJEmShlrdyvjp1e0+1V87E4CVcUmSJOn/b+/eg+woyzyOfydXc5mg4RZvIAHymKVcVlGxZNdVjAaJsFKSLdfsmmSLLOACAWJEkAABChK5GSABEQGjW+rqrhQmSLjI7kLEXYhl4WV8CMZ1uVQSoJKQzARIMmf/ePsknZNzMqdn+pye7v59qqb6zNs9Pe/Tl+e8/Z63+/QhaWP8Yy2phYiIiIhICSVtjJ8B/Ju739uKyoiIiNTSTfgiUtTxAokAABBnSURBVGRJG+OnA0+0oiIiIiL16CZ8ESmypI3xp4HjWlGRdlEPi4iIiIgMFkkb498BrjGzY4DV1H+aSsXdr0ujcq2gHhYRERERGSySNsZvjqYfjH7qqQCDtjEuIiIiIjJYJG2MH9GSWoiIiIiIlFCixri7/yn+u5mNA95w99dSrZWIiEgduu9HRIomac84ZvZ2wjdxngIcEJVtBlYAl7r7c6nWsIWU1EVE8kX3/YhI0SRqjJvZYcAvgEOAB4EuYChgwAxgqpm9392fT7uiraCkLiIiIiJZStozfi0wBjje3dfEZ5jZ+4CfAVcBs9OpnoiIiIhIcSVtjE8Fbq5tiAO4+y/N7BbCt3TmkoatiIjkh3K2iBRB0sb4GGDDfuZvJBpHnkcatiIikh/K2SJSBEMSLv8bYLqZddTOMLMhwN8Cv0ujYiIiIiIiRZe0Z/xrwA+Ah83sBmBtVG7AhcCHgb9Pr3rZ0cefIiIiItJqSZ8z/kMzexvh0YY/ic3qAF4HLnL376VYv8zEP/4E1DAXERnE1IEiInmV+DnjwJ2Exxm+DEwgNMRfiF7fnHRlZjYH+DLwDuBXwIXu/kQ/6tUyGpcoIjK4KU+LSF4lfc74O4GHgKOBD7r78qj8LmAW8Hkz+6S7v9zk+mYCtwNXAk8C5wKrzOxYd/9jkrq1i3pfREQGt3ieBn2yKSKDW9Ke8cXAeGBK/PGG7v6PZvYt4MeEZ5HP6WtF0U2gC4E73H1hVPYQ4MAFwHkJ69YWeel90ZuRiJRV7TDDJEMOW9Hhcvfdd9Pd3c3EiRP3qkNtfRrl7WbqLSL5lbQx/nHgend/tHaGu682syXA2U2u6yjgcOC+2Dp2mNlK4KSE9crEYOslj9dnIG9GIiJF1OheoPjrtDpc4vn4nnvu4aWXXqqbj+P/a395u696K5+3T6OLpg0bNtS96ErrONI+Lq6OSqXS9MJmtgVY6O43Nph/PnC1u49tYl3TgBXAJHdfGyu/ALgeGOHuu5qp15o1ayqX3PkbAHp7exkyZEji1wcedCCvvPxKv/9+9OjRVCq9dHSE8v6+HjV6VJ/x9nT3UKlUdteh+rc9PT2JY86N6nHasc9TNQur0X5u9LqZY6cZ23u2Jz5mk/5No9eVSmV3zPF40lp/K7bXgFUqzDvtbRx33HHlObhJJ2+3+nWjvN7MsdmffNyK96BGx3m83i05F2I5u5nzN8vzMWl+SbpvB9I+iP+v+Hrasb0abZe9/ncB3pubijOuBTk7ac/4/wBzzOwb7t4dn2FmbwJmA/t8O2cD46Lp1pryrYTnn48BXm22YiNGv7nZReva2rNrQOvYCeFW1qp+vt7a08T1R8dI6IDemr8dMXpEU3Wtaup/SXYa7OdGr9PbnyP6ccwm+5uGrzvYHfPe8aS0/n3qLVkaaN5utUZ5vZljsz/5uBXvQY2P8xFtPBf6Pn+zPR+T5Zek+3Yg7YP4/4qvpz3bq/52KV7uzD7OpI3xhcAjwK/NbDnwbFQ+EZgBvAv4RJPrqobeqGu+t0F5XePHjUyyeK7t2LkTgOHD+vMwnOS2beumUqnQ0dHBtm3bMu+tasXrsWPH7o4RqPt67Ngxe22L/S1Xb9s1WqaRgeznpPtswoRDE/+PVmj3sV3VaD812naNjpdm9mutasxlVJa8ndVxPVDN5JH4uRA//lsVc9KcOpAcnNRg3M9J37OSahRzVu2GCRMOZf36DX0en0nF4+ntTdQ8bUrS54w/bmYnAdcBl9XMfho42d3/q8nVbYmmncCGWHknsMvdtyWp27cvz8Uw81R0dXUBMHny5Lb/70Zj5ZoZ6zhv3ryG4zL7ummp0Vi8ZsdY9lWfefNmtmPzJZLWfm50L8FgjD/LY7uexjdCp7e9urq66OnpSW19eVKWvD3Yjuv+SHouFCHmpBRzfc3ez5bWe/ne4+zTf29rRc5OfPkW3bz5fjM7BDiM8Mzx59z9xYSrqo4Tn8ieHvbq788krZe0x/5uIEn6FIAkN6Xs74RvdHEQr3OZb3gayHYvO20jkUDngvRXo/egRq+bef+Ov65dfx6P1X5/luLuG4GNA/jfa4HngM8ADwKY2XBgGrByAOuVDCQ9+NM6WZq5OMjjidkq2hYiIpKVZt+Dyvb+ndnAJnevmNki4FYz2wSsBs4BDgJuyqpeUgxlOYFFRESKpIzv30Oy/OfuvgyYD/wD8CPgzcBUd1+XZb1ERERERNoh81t+3f0G4IY+FxQRERERKZhMe8ZFRERERMos0TdwDlZr1qzJfxAiUmpl/AbOrOsgItJfaebsQjTGRURERETySMNUREREREQyosa4iIiIiEhG1BgXEREREcmIGuMiIiIiIhlRY1xEREREJCNqjIuIiIiIZESNcRERERGRjKgxLiIiIiKSETXGRUREREQyosa4iIiIiEhGhmVdgYEwsznAl4F3AL8CLnT3J7KtVXrMbCgwF5gDHAb8CVgGLHX3ipl1AJcAZwIHAauBc9399xlVOTVmNpKwT//b3WdFZUWO9+PANcCfAxuBe4Ar3X1XEeOOju15wD8BE4DfAhe7+8+i+YWJ2cxOBf7F3TtjZX3GF50Di4C/A8YAq4Dz3P3FNlY/dUXO22XO2VCuvK2crZxNijk7tz3jZjYTuB34LvBZYDOwysyOyLRi6VpAONm/C5wK/CvwdWB+NP8y4FLgeuBzwAHAI2Z2QPurmrrLgXfXlBUyXjM7Afgp0AVMA24FLiLECsWMez7h2L4L+AzwB+ABM3tvNL8QMZvZhwnnb0fNrGbiux34AvAVYDZwLHB/9KaYSyXI22XO2VCSvK2crZxNyjm7o1KpDLz2bRZdofwR+Km7nx2VDQccWOHu52VZvzREO28TsMTdF8TKlwLTgSOBF4Gr3X1xNO8thJ6YK9z9xvbXOh3Ryf0YsB1Y6e6zzKyT4sb7GLDF3T8dK1sEfAg4hQLGbWZdwJPu/oXo96GEc/o+4GJyHnPUQzIXuAroBka4+9hoXp/HspkdCTwDfN7dfxAtczQhx53u7v/e7pgGquh5u8w5G8qVt5WzlbPTztl57Rk/CjiccBAA4O47gJXASVlVKmXjgOVA7Q504GDgRGAse2+DTcB/kuNtYGbDCFfe1wEvxGZ9iGLGezBwAnBHvNzdv+LuH6WgcQMjgVerv7j7LmALMJ5ixPwpwhvUfOCWmnnNxHdiNF0RW2Yt4aPhvGyDWkXP26XM2VCuvK2cHShnp5uz8zpmfFI0fbamfB1wpJkNjQ6U3Ip29Dl1Zp0CPE8Ybwnho6K4dcDftLBqrXYRMAK4FjgtVl7d50WL9z2Ej8O6zewnwCcICW8ZcCXFjXspcJmZ/Rh4CpgFHAN8lWLE/CRwhLtvNrMrauY1E98kYL27d9dZZhL5VOi8XeKcDeXK28rZytlVqeXsvPaMj4umW2vKtxJiGtPe6rSHmZ0BTAG+RtgGr7v7GzWLbWXP9skVM5tMOLHPqBNX4eKNHBxNlwO/J1ydLyOMTZtPceO+DXgceJgwbvjrwAJ3v48CxOzuL7j75gazm4lvHPvmt9pl8qZ0ebvoORtKmbeVs5Wzq1LL2XntGa8OrG804L23XRVpFzObQbg54EeEm0UupkDxm9kQ4E7gWw2erNBBgeKNGR5NV7l79SavR83sIEJyX0TB4o7GDq8C/gz4IuEmqCnA5Wa2meLu66pm4iviNihV3i56zobS5m3lbOXsuFRydl57xrdE086a8k5gl7tva3N9WsrMLgS+QxiLNMPdK4RtMDK6ASqukz3bJ0/OJTwKbIGZDYvGIAJ0RK+LFm9V9Vh9oKb8IcIYtc0UL+4TgL8EznL329z9P9z9UuBGQg9iN8WLOa6ZY3kL++a32mXypjR5uyQ5G8qZt5WzlbOrUsvZeW2Mr42mE2vKJxLuZi0MM7sGuIGQ2E+PfUyylnAlVvtIsImEG4by5jTCmMpNwI7o51jCY4Kqvxcp3qrq+NkRNeXVk76Icb8zmv6ipvxxYDShd6FoMcc1c+6uBSaY2aj9LJM3pcjbJcrZUM68rZy9h3J2Sjk7z43x5wjPugR2PyJrGvBIVpVKm5nNJXy0uQSY5e47Y7N/DrzG3tvgLcBfk89tcCbwgZqfZwg9Sx8Avk+x4q36HeHpA9NryqcRHqVUxLirDa8TasqPB3YSnkZRtJjjmjl3HwGGEm7+qy5zNOGGqbxug8Ln7ZLlbChn3lbO3kM5O6Wcncsx49E3mS0CbjWzTYRvQjqH8K1IN2VauZSY2VuBxcCvCSf38WYWX+QpwuN3rjKzXsLJ8lXCXd13tre2A+fu+1w5mtl24BV3fyr6vTDxVrl7r5ldAnzbzG4jjC+dAswEznb3V4sWt7uvMbOVwDIzG08Yf/hRwhMZlrj780WLOc7dt/UVn7v/wcx+CHzTwpdKbCI8qeJp4N5saj4wRc/bZcvZUM68rZytnE0LcnYuG+MA7r4s+jhgLnAB4St4p7r7umxrlpqphOd6vgeod2PMwYSvZu0FvkQYq/ZzYKa7F2GMVj2FjNfdl5vZDkJ8swm9h2e5e/U5tkWMezpwNSGhjSf0mp4HfCOaX8SY45qJbzahkbqY8Cnmw4SvVs7z4/+KnLeVs+srXMzK2crZpJyzc/kNnCIiIiIiRZDXMeMiIiIiIrmnxriIiIiISEbUGBcRERERyYga4yIiIiIiGVFjXEREREQkI2qMi4iIiIhkRI1xKS0z+18zeyDreoiISN+Us6Wo1BgXEREREcmIGuMiIiIiIhlRY1xEREREJCPDsq6AyGBgZh3AOcAs4N2EC9W1wE3ufnfNsmcA84B3AV3Al4A7gMfdfVbbKi0iUlLK2VIk6hkXCa4BlgBPAXOBy4FRwF1mNqW6kJmdD3wT+D9CQv8tcD8wod0VFhEpMeVsKQz1jEvpmdlw4J+Bu9z9zFj5vYADnwQeNrNxwJXAA8DJ7l4BlprZekKSFxGRFlPOlqJRz7iUnrvvAA4Fzq+WRR+Bjop+HRtNTwQ6gSVRUq+6rh31FBER5WwpHvWMiwSvA6eb2anAZGASexJ69aL1qGj6bPwP3X2jmW1uSy1FRASUs6VA1DMupRf1qKwAvg+8HXgU+CJweM2i1YvXN+qs5rWWVVBERHZTzpaiUc+4CHwE+BRwibtfWy00s9obfNZF06MJNwNVlxsHHNLqSoqICKCcLQWjnnERODCadtWUnxtNqxetDwLbgbNqljsbnUsiIu2inC2Fop5xEVgNbAVuMbMjgW7gZODThI83OwHcfbOZLQQWmdn9hI9J3wvMiNZTqV2xiIikTjlbCkVXhlJ67r6BkMSfBxYSHoXVCUwlJO+/MrMh0bKLCXfwG3AT8D5gWrSqeuMSRUQkRcrZUjQdlYouDEWaYWYjgTe5+5aa8gOBl4Gr3X1BJpUTEZG9KGdLXqhnXKR5bwU2m9ncmvLp0XRNm+sjIiKNKWdLLqhnXCQBM3sM+AvgVsKza48h3Az0S+Aj7r4rw+qJiEiMcrbkgW7gFEnmVGAB8DlCr8t6YClwhZK6iMigo5wtg556xkVEREREMqIx4yIiIiIiGVFjXEREREQkI2qMi4iIiIhkRI1xEREREZGMqDEuIiIiIpKR/weaM6Fqqe62UQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.autocorrplot(tracehm2c, varnames=['intercept', 'slope', 'sigma']);" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VSUUGKCIiIiLSqfJWxvcCbgNGA7sRKuGHuvtYYCdCi/iSQiMUEREREelQeSvjo4Cr3X2Zuz9DaBXfDsDdbwEuAg4sNkQRERERkc6UtzI+nzCEYdk/gPfGnvcCY/oblIiIiIhIN8hbGb8f+IyZ9UTPHyFqGY+MQd1UREREREQyyTWaCjAduAF4xMy2Ay4BDjaz6wit5AcDvys2RBERERGRzpSrZdzdbwJ2B54G3nD3e4BjgAnA4cDD0aOIiIiIiNSQt2W8zx05o+dnmNmZwDB3/3eRwYmIiIiIdLLclfFK3H0RsKiIskREREREukXVyriZLQRKOcssufvw+kMSEREREekOtVrGLyd/ZVxERERERDKoWhl39/0HKA4RERERka5TV59xMxsN7AJsCFxIuBnQGHe/u8DYREREREQ6Wu7KuJmdBhwFDCZ0YbkFWA24ysx+Bezr7osLjVJEREREpAPlGmfczA4BvgmcCXwEKN+J807gbGAPYEqRAYqIiIiIdKpclXHgUOBKd58CPFqe6O6vuPsk4FLgiwXGJyIiIiLSsfJWxscAt1WZfxehH7mIiIiIiNSQtzL+ErBJlfnvB+bUHY2IiIiISBfJWxm/HPiamW0Xm1YCMLP9gAOAqwuKTURERESko+UdTeUEYDxwB/AsoSL+QzN7BzAKeDBaRkREREREasjVMu7uC4AJwMHAQ8BjwBBgFnA4sI27v1F0kCIiIiIinShXy7iZfQf4nbtfSLjZj4iIiIiI1Clvn/EjgHGNCEREREREpNvkrYw/DYxsRCAiIiIiIt0m7wWcpwE/MrONCWOKzwGWJRdy9ysKiE1EREREpKPlrYxfEj3uGf1VUgJUGRcRERERqSFvZXxCQ6IQEREREelCeSvjBwBXuftvGhGMiIiIiEg3yXsB5x7oAk4RERERkULkrYw/hIY2FBEREREpRN5uKpcCp5nZu4G7qTyaSsndpxURnIiIiIhIJ8tbGT8retw6+qukBKgyLiIiIiJSQ97K+OiGRCEiIiIi0oVyVcbd/en4czNbFVjs7m8WGpWIiHSF6dOnM3fuXFZZZRUmT57c7HBERAZc3pZxzGwU4U6cHwdWi6a9BlwHHOfuzxQaoYiIdKzp06fzwgsvsP7666syLiJdKVdl3Mw2Au4B1gFuBmYBgwED9gF2MrOt3P3ZogPNQi0sIiIiItJO8raMnw4MB8a7e298hpltCdwGnAJMLCa8fNTCIiIiIiLtJO844zsBZyUr4gDu/gBwNrBzEYGJiIiIiHS6vJXx4cDsKvNfIupHLiIiIiIi1eWtjD8C7GlmPckZZjYI2At4tIjAREREREQ6Xd4+41OBy4FbzWw68Hg03YAjgW2BfYsLT0RERESkc+UdZ/xKMxtJGNrw2tisHmARcLS7X5anTDM7EJgCbAA8CBzp7n/OU4aINJdGMhIREalP7nHGgZ8ShjN8GViPUBF/Lvr/rDwFmdmXgPOAk4H7gK8DN5nZ+9z9yTpiE5EmGMiRjFTxF6mPPjsirSnvOOMbArcAmwFbu/vPoukXAfsDXzCzHd395Qxl9QAnARe4+0nRtFsAB44ADssTW1I9SafdE1W7x1+PbtznorTrsdMQplJLu76308T3B6h73/TZKUY7vb/aKdaydoy5v/K2jH8XWAPYIT68obt/2cwuBH5NGIv8wAxlbQpsDFwTK+c/ZnY9BQyPmCXpJF/wdk9U9ezzQMdXxLbj5bT7a5ZVlpNx3hN2qxy7eNy77rpr0+KQztGf93YjcuSMGTOYP38+Y8aMqavM+P4AhX9ui6rsF6XI1yCtrP7sc/L1KK87e/bsfr3OjZAWayt8Lqptq9XOTY2Oo6dUKmVe2MxmA9PdfWrK/GOBr7r7BhnK2g24Dtjc3R+PTT8C+B4wxN2XZomrt7e3dMxPHwFg2bJlDBo0qM//a661ZsX1Xnn5lT7LJJ+3rPJr1tN3UJu0+BcuWEiptIyenkEsWLDgrWWGDRv21vShw4Zm2nS8rLR10pbJEl9qHLF9jpcDlV/neJlh9Xz7WZRM+5a2/NCVw8Qq+xx/DeOvbXyZrO///uxXvKx4TEDN16FPHGuu8dY+p72G8f3M/T5qEfFYS6US397nnYwbN265Uao6WaW8XU9OqqQ/7+1GnAf6W2aWnBeXNwfnLT+TWM7O+9lMxtmfz3ZabsqbL9POo/F1s5TTKFnyZX/iS30Pp9RH+iNvXaFRub/aPk/+9MhCc3belvGVgSVV5s8HVs9Y1qrR49zE9LmEIReHA29kDWzIsPTNzl1QuU4fX2fugqXLPW836fEPCT37gSHDhrw1dQm8NT37/g7JsE7lZbLElyWOtNc6rUygjv0sSr5967P8wmVvT03Z5/hrGH9t47K+//Ppu1/xsuIxkfJ/6vsits9pr2F8P/vzPmqu2L51VRW8r+T7ur6cVL3cvOU04jzQ3zKz5bw+a+TKwfnLz6v+HB+Wr/+znZab8ubLtPNommaea4B+7GdK6QNYP8pfV2hM7h/Ifc5bGb8XONDMznf3+fEZZrYyMBFY7u6cKcpvm7Sm+WUp0ytaY9WVUue9+OLst77djBgxglKpRE9PDyNGDM+ziarlrrfeuoUsP2/e/LfimzdvXtXW0MGDV0jdh/7ElvUYpcWaZXtZ4oiX88Ybc2vuc15ZjnXyWMTjiy9XbZ1a20tbPu9r2B9ZXv8i44kfi/5sI62cLK9t/P/4PgMV/89STjLmLPvznyXV2jc6W9a8DbWPd9qxzltOf+JJK7P8Gq+4wgpV82Z8HlAzD2fJwWmfkf5IOxbxz9GyZcsq5uws69Zz3omXFf8/b67qT56Lv8790d9j1J/tpeXCtNcwrT6SZR/Syk+LLcvnHcj0Ocr7WUvuTxgAsDh53zEnAb8HHjaznwH/jKaPAfYBNgE+lrGs16PHVeh7V89VgKXuPi9PYJeckN7NfOTIkW/1P3r++efzFFtVvNybMpTbn+UnT568XL/asWPHpq7bt6/Tl3Jtq55jlHff0qTFPWvWLKD6PvdH2rFOHru05YDCj/eUKVNi/Q9rl9kfWd4vRb3G1TRin9OuMQByvefj+x9fN/5/8rhkOa6zZs1iwYIF/dnFtpU1b2f5rKUd67S+wWnlpMnyPkrLHWn5q8jP1EB8PittCyp/jrLsc7Vc2584+lNuf45jUeep9P7sjTkP5K0vVLrOJ7nPRe1Dls91o8+Pye3Nnj0beE+h5ecdZ/wuM9sZmAYcn5j9ELCru9+ZsbhyP/ExvF2pLz//R564akkm8lYvN21bZeUPfNbls5bfn30p6lg062KNvsk7Wwz9iTXL8Zo4cSLQuC8gyXiyLNPo93sj9jl50VZ8er37k1Y5rLZtqV/W92e969YTQ7xiXvS22knez1E9uXYgyx3I83q1GFp5e1nqI4363BVdfj1xNKIBJfdvKe5+O7CVma0DbEQYc/wZd8/7Vfxx4BngU8DNAGa2IrAbcH3euKpp1IvW6Apvsyr7zVi/2Vo9+bWCdow5qT8n7EZVIqT9pFXMm2mgzxf9+Rw1KqZWKkckj7o7Nrn7S8BL/Vi/ZGZnAD8ys38DdwOHAmsBZ9ZbbitrlaQl9WuFVhOpX39bzGTgtMtnrVVaYQfy/dkqn4V2eY+I1NK/qwz6yd3PNbOhwCTCjX4eBHZy9yeaGZdImlY5CYl0um74rHXDPjaSjp90iqZWxgHcfTowveaCIiIiIiIdZlDtRUREREREpBFUGRcRERERaZKeUintnjvto7e3t/13okPMmTOHSZMmsf3223PQQQc1O5xM7rrrLq666iqmTZvGChlv1vDoo49y6qmnsueee/LpT3+6sFgOO+wwBg8ezJlnFncN89KlS7n++uu54447ePnll1ljjTWYMGECu+22G4MHD35rucsvv5wnnniCb33rW4VtW7Ir8tbK7UB5u3Uob/dPI/J23IIFC5gyZQof/ehHl4tbebt5iszZHVEZl9ZhZpsATwIXuvsBTQ6nJjNbF3gUOMDdf51jve2B24Fvu/upBcbzKaDk7r8tsMyLCHfH/TnwR+AjwOeBGe7+5dhyIwhj/h/j7hcVtX0RaW3K2/2Op/C8HSt7KHADsD0V4lbe7gzqpiLdbhrwVJ6E3kju/puCK+IfJFTEz3T3fd39fHf/AnAuMNHMxse2PQ/4LjDdzFYrKgYRkYJ1dN4uM7N3AX8mVMTTtq283QFUGZeuZWYbEVqIf9zsWBpov+jxB4npU6PHLyamzwBWBg5uZFAiIvXokryNmX2NcGfzTah97xXl7TbX9KENpX2Y2XDgNGAXwt1X3wDuAk529wdrrPse4ATCN/xVgaeBXwKnu/vC2HIl4BzgfuAYYEPgCeAcdz83UeZg4DDgy8BmwALgDuAEd38owy4dFj1eWSHerYFvAR8iJDkHfuDuMxOLrmBmxwP7A6Oi/ToHOMvdS4nyjgK2A9YG5gMPRPt/S2y5p4Al7r5p9Pxiwl1qxxEq0P8LrATcAxzr7n+usY8fBF509/8Xn+juT5vZS8DWiemvmdnvgMPMbLq7L61Rvoi0MOXttszbAP8N/IJwPDcn3IulIuXt9qeWccnjCuAg4DfA1wjJ6yPAH81sg7SVzOwjwH3ADsBPCEnlYeDbwO1Rn7i43YALCP3kjgZeB84xs+/GyuwhnBSmR2UdAZwFjAfuMbMPZdifTwH3uvvriXh3Jpyston28ShgHnCpmSUT4jeAfQndPo4ClhJaoQ+KlbdtVN67CS0cXwUuBD4A3GBmW9SIc2VCX+9BhBPNmVFst5jZGjXW3QB4NmXec8DoCtNvJZygtqpRtoi0PuXt9svbAIe6+/7u/nyGZUF5u62pZVwyMbO1gV2Bc919Smz6X4EzgPdTodJnZoOAi4ASsJW7/yuada6ZnUhodfkGcEpstU2APdz9qqiMHxNaTiab2QVRGXsDewCT3P2s2PbOIfy0dwGQmizNbEPgncDNiek9hJ8/XwXe5+6zo+kXEk5Mx0XbKHsd+ED5xGBm1xBahD4HnB8tcxTwH+Aj7j4nti2PltmZcDFSmpWAK9z98Ni6bxCO+2cJJ8o0qxFOSJUsAIZXmF5uLZsA/KVK2SLSwpS32zZv4+6Lqs2vQHm7jallXLJ6Pfrby8wOMrN1ANz9Gnffwt2vTVlvS2AMcEksoZedQago7pWY/nA5oUfb+A/wPWAw8Mlo8ucIJ4rfmNla5b9o2nXAWDMbW2V/No0e/5mY/n7CSeXSckKPxfAZQgvOktjy18RbaNz9KeAFYGRsmc8CmyQS+kpRrAAjqsRZ9vPE8/ujx/VqrFdt6KUeYFmF6eVjsmmFeSLSPpS32zNv10N5u42pZVwycffFZjaRcKHI+cB5ZvY34EbgYnf/R8qqY6LHv1co800z+xfLJ4/llgUeix7fGT1uTqhMPl0l7I2BWSnz1o4eX09ML3fbeCwxHXd/ovy/mZX/fbFC2QsJrSLl9ZaZ2TpmdjTwX9E2RvP25y/Ll+LZieflVpPByQUT5gHDUuYNY/n9B3gtely7wjwRaRPK222bt+uhvN3G1DIumUXDSG1A+KlxBrA6oS/co2a2R8pqtQbFH8TbCaqs0s9z5eRVbt0YREg+H6vy11tlu+ULXJJJccXoMesA/DUvlImuin+YMALAHOBiQr/H3TNuAyq3YGfxJOE1q2QU8EyF6eVjoouARNqc8nbVclI1OW/XQ3m7jallXDIxs1UIrQNPufsVhIuCMLMPEy4c+Sbwqwqrllsl3l2hzJUJLTCPJ2ZtVqGcd0WPHj0+SWhlud/dX4svGI2tvSqhT3SaF6LHtRLTn4oeN68Q72cIP7eeVKXc5DorE8aAfQzYOhoTtjxv76zl9MN9wMFmNsrdn4ttexNCC8plFdYpH5MXKswTkTahvN22ebseytttTC3jktVY4G7guMT0XkKLyJLl1ggeICTgL5nZOxPzjiZcQHh1Yvq20ZXsAJjZEMLFQosIIwIAXEVovemTYKM+kb8hVDKrtUo8FT1unJh+P2GUkX3jV7xHw3FNAT4NZL3o1bVGAAAgAElEQVS6HWAoYR+fTCT0obw9RFcjvxT/Ino8KjG9/PySCuuUj8lTjQhIRAaM8nZ75u16KG+3sVZ7M0mLcvd7zexG4KsW7vJ1J2Hopn0JF7JMT1lvqZkdRLg4534zO5eQNLcH9iScFL6XWO1N4CYzO4vQ525fwnBSk2PDPF1M+Nn1MDPbHLiekDz/D1gH2C8+Dm6FuJ43s0cI48fGpy8xs0MIJ42/mtkFhJ9V9yZcBPTlqM9ktcMVL+/fZnYXsKuZ/ZRwN7X1gC8RxuKFMOJJQ7j7nWb2S2CSma1JGN1gAvAF4AJ3f6DCauVjclOj4hKRxlPebs+8XSfl7TamlnHJYy/CUFZbAt8HTgbmAru7+3I3YChz91sJ46veTki63yf8dHo88KEKyfduYBKhwngGoR/gHu7+/ViZSwjj2pZvMPE9QivMv4CdKtzkoZLfAluURxiIlX0N4aQzi9CqcjqhP97H3X1GhnKT9gR+FsX7I+ArhKGn3kM4we1YR5l5fInwWn042v4HCK1bh6QsPwF4OuMNOESktSlvt2fezkt5u431lEpZr3cQaTwLd3L7vbvvMADb2pjQ7/EYd0+28nQlMyvfje4Yd5/a7HhEpPUpbzeX8nb7U8u4dC13fxq4FPhKdNMICbeofo1wZzoRkZaivF2R8nabU2Vcut0JwPqE4au6mpmtDhwOfDt+0ZKISItR3o4ob3cGVcalq7n7s4R+jt+Jrv7vZscAfwXOa3YgIiJplLf7UN7uAOozLiIiIiLSJC3TMm5mnzCzuc2OQ0RERERkoLTEOOPRjQJmUvsWvBX19vaqeV9E2tq4ceO66mI05W0RaWdF5uymVsbNbCVCv69TgPlA3X2/xo0bV1RYLW/WrFkAjB07tsmRDBztc3fo1n1esKDaHcA7V7fk7W59X4P2udN16z4XnbOb3U1lF+BbhFtzn93kWEREREREBlRTL+CMBqqf7+6vmdmJwDfcfUTecnp7e0vDhg0rPL5WtXBhuPHZ0KFDmxzJwNE+d4du3edSqdSV3VS6JW936/satM+drlv3ueic3dSWcXd/zt1fK6KsGTPqudutiIg0i/K2iEiLXMBZhJkzZzJ1anfcBbZb+2iB9rnTdes+d2uf8W7J2936vgbtc6fr1n3utD7jIiIiIiJdS5VxEREREZEmUWVcRERERKRJVBkXEREREWmS3BdwmlkPsB2wLjC40jLufkU/4xIRERER6Xi5KuNm9l7gOmAU6beuLwG5K+PufiJwYt71RERERETaVd6W8TOBdxDumvkgsKjwiEREREREukTeyvg2wHfcvfMHhhURERERabC8F3C+Hv2JiIiIiEg/5a2M/wKYaGYdc+dOEREREZFmyVupvhfYA/i7mV0HzAGWJZYpufu0IoITEREREelkeSvjl8X+PyJlmRKgyriIiIiISA15K+OjGxKFiIiIiEgXylUZd/en48/NbFVgsbu/WWhUIiIiIiJdoJ47cI4CTgM+DqwWTXuNcDOg49z9mUIjFBERERHpUHnvwLkRcA+wDnAzMAsYDBiwD7CTmW3l7s8WHaiIiIiISKfJ2zJ+OjAcGO/uvfEZZrYlcBtwCjCxmPBERERERDpX3nHGdwLOSlbEAdz9AeBsYOciAhMRERER6XR5K+PDgdlV5r9E1I9cRERERESqy1sZfwTY08x6kjPMbBCwF/BoEYGJiIiIiHS6vH3GpwKXA7ea2XTg8Wi6AUcC2wL7FheeiIiIiEjnyjvO+JVmNpIwtOG1sVk9wCLgaHe/rOLKIiIiIiLSR+5xxt39h2Z2KfAxYGNCRfwp4FZ3f6XY8EREREREOlfuyjiAu79K6K4iIiIiIiJ1qloZN7MbgKnu/ofY81pK7r5bAbGJiIiIiHS0Wi3jY4FVY8+3AEqNC0dEREREpHtUrYy7++jE800aGo2IiIiISBfJNc64mV1kZuOrzJ9gZtemzRcRERERkbfV6jO+Mn27qewP3GtmT1ZYfBDwSWCHwqITEREREelgtfqMrw48BqwSPS8B50R/lfQAtxcTmoiIiIhIZ6vVZ/xFM/s8sDWhon088GvgoQqLLwXmoCEPRUREREQyqTnOuLvfCNwIYGYbA+e5+18aHZiIiIiISKfLddMfd59YaxkzM3f3+kMSEREREekOuSrjZrYCoavKjsAI+o7GsgKhb/k6wOCiAhQRERER6VS5hjYETgWOA9YHlgFG6CfeA2xKGHllUpEBioiIiIh0qryV8b2A24DRwG6ESvih7j4W2InQIr6k0AhFRERERDpU3sr4KOBqd1/m7s8QWsW3A3D3W4CLgAOLDVFEREREpDPlrYzPJwxhWPYP4L2x573AmP4GJSIiIiLSDfJWxu8HPmNmPdHzR4haxiNjUDcVEREREZFMco2mAkwHbgAeMbPtgEuAg83sOkIr+cHA74oNUURERESkM+VqGXf3m4DdgaeBN9z9HuAYYAJwOPBw9CgiIiIiIjXkbRnvc0fO6PkZZnYmMMzd/11kcCIiIiIinSx3ZbwSd18ELCqiLBERERGRblG1Mm5mC4FSzjJL7j68/pBERERERLpDrZbxy8lfGRcRERERkQyqVsbdff8BikNEREREpOvU1WfczEYDuwAbAhcSbgY0xt3vLjA2EREREZGOlrsybmanAUcBgwldWG4BVgOuMrNfAfu6++JCoxQRERER6UC5xhk3s0OAbwJnAh8BynfivBM4G9gDmFJkgCIiIiIinSpXZRw4FLjS3acAj5Ynuvsr7j4JuBT4YoHxiYiIiIh0rLyV8THAbVXm30XoRy4iIiIiIjXkrYy/BGxSZf77gTl1RyMiIiIi0kXyVsYvB75mZtvFppUAzGw/4ADg6oJiExERERHpaHlHUzkBGA/cATxLqIj/0MzeAYwCHoyWERERERGRGnK1jLv7AmACcDDwEPAYMASYBRwObOPubxQdpIiIiIhIJ8rVMm5m3wF+5+4XEm72IyIiIiIidcrbZ/wIYFwjAhERERER6TZ5K+NPAyMbEYiIiIiISLfJewHnacCPzGxjwpjic4BlyYXc/YoCYhMRERER6Wh5K+OXRI97Rn+VlABVxkVEREREashbGZ/QkChERERERLpQ3sr4AcBV7v6bRgQjIiIiItJN8l7AuQe6gFNEREREpBB5K+MPoaENRUREREQKkbebyqXAaWb2buBuKo+mUnL3aUUEJyIiIiLSyfJWxs+KHreO/iopAaqMi4iIiIjUkLcyProhUYiIiIiIdKFclXF3fzr+3MxWBRa7+5uFRlWn6dOnM3fuXFZZZRUmT57c7HBERERERKrK2zKOmY0i3Inz48Bq0bTXgOuA49z9mUIjzGH69Om88MILrL/++qqMi4iIiEjLy1UZN7ONgHuAdYCbgVnAYMCAfYCdzGwrd3+26EBFRERERDpN3pbx04HhwHh3743PMLMtgduAU4CJxYQnIiKdTN0LRaTb5a2M7wSclayIA7j7A2Z2NuEunSIiIjWpe6GIdLu8N/0ZDsyuMv8lon7kIiIiIiJSXd6W8UeAPc3sHHcvxWeY2SBgL+DRooLrD/30KSIiIiKtLm9lfCpwOXCrmU0HHo+mG3AksC2wb54CzexAYAqwAfAgcKS7/zlnXMvRT59SBH2pExERkUbKO874lWY2kjC04bWxWT3AIuBod78sa3lm9iXgPOBk4D7g68BNZvY+d38yT2zSmtq9MqsvdSIiItJIuccZB35KGM7wZWA9QkX8uej/s7IWYmY9wEnABe5+UjTtFsCBI4DD6oitoniFEGjrymG7UWW2PbT7lybpHt3+Xu3U81m3v66doBVfw1aMqZK844xvCNwCbAZs7e4/i6ZfBOwPfMHMdnT3lzMUtymwMXBNeYK7/8fMrgd2zhNXLfEKIaDKYYMlTxa1linqdRiID127fLDjssTcjV+a0o7LQFR24tvYddddCyu33bXCezVrDM2qELfa+ayonNiNOSiuHc8tSWmvYX/2rb/HJe/7qlmvQ96W8e8CawA7xIc3dPcvm9mFwK8JY5EfmKGszaPHfyamPwG808wGu/vSnPF1lLSEP3v2bObPn8+YMWMG/M2V5SSUPFmklVNv4q1WiapVZj0n2rxxN/rDnPYaxP/Pe1yaKUvFtMgTfrmcaieOSpUd6F+lK23bs2fPZu+99657nzpJlpN5cvlaX6jqyS+1YsjyHon/3wlfuPqTd5sZX5blofm/MBR5HFutYp/8vOR9nYrKwdW2Ueu80Gg9pVKp9lIRM5sNTHf3qSnzjwW+6u4bZCjr88AvgPXd/cXY9AOAnwCrufsbWeLq7e0tHfPTRwBYtmwZgwYNyvT/mmutmaX4flm4YCGl0jJ6egYxdNjQXOu+8vIrde9DfLsLFiwobJ/TYho2bFjF7aXFGi8nU0zl92lPT59107YbLzPvsUjbxzXXWjN12/HXNsu+pb0v+kwfuvJb+5wlvvj/acclS8xpy2SV9z0f3/bQoUMplUrh/4KOadq2oPZ7M75M2vJZVSv3tAPew7hx43qqrd9pauXt/rwmae9noOb/aTkiSwypsa25Riikp6df54RqcTT6fJY378Zzdlx8/8Ni+c5TaccvLUdkWR4q587U3Jzyui2Yv6Bi/sobf39iKLKsTNvLeW6G2sc6bV/i62Z9j/TnnJ8aX6nE5E+PLDRn520ZXxlYUmX+fGD1jGWVdyLt28CyrEEBDBmWdbNvm7tgIBreh7y1p3m3l2Wf0st8e7tDhg3JsHz/YloCFbcXF992vJz+HJe07fYtM9+xSNvHuQuWpm47/76lvS9i0xdW/ghkeV+kHZcsMactk12+93x820ujbS+rEl/+Y1p5W3Fp20pTz3GpJ0d1umrHpD+vSdr7mQz/p+WI/rx+fT/L9Z8TqsXR6PNZ/rybWlKu415t/Ww5ovbycen5L8Pr1rNSxfyVN/5+xVBoWfXn8ix1giznmvre78Wc8/t/Lswub2X8XuBAMzvf3efHZ5jZysBEYLm7c6Z4PXpchb43EloFWOru8/IEtsaqK+VZHIAXX5z91jeg9dZbt89zePvb0YgRIyiVSvRE3/Ar/T9ixPDUcitNTys/Xk6a/ywJ34dWXGEF5s2bn2vdehS1jbTjEi9/3rx5FZeJ73MjYk6LLatGvA5vvDGXUmkZgweHfS66/Cz7HN+vemLI+56Pv85Z3i9ZYsry2uR9/dP2q573Tnmfu1G1vD0QuW2gpOWvrOegvO+rLJ+dLOes/rwGeXN2XNbt5v3cNvo9lfV1zhNPtWWynDuzllVLWt5daeWVKu5zXgPxee/PeT55rMNo3MXJe/ROAn4PPGxmP+Pt/t5jgH2ATYCPZSyrPEb5GPr2Gx8D/CNnXFxyQv5rPkeOHPlW36Cbnn++z/PJkyfH+iZ9qV/llqX1S3o+tkwWs2bNAmDs2LG51mu2vv3YKh/TtGUavc9pr1kzNXqfs7weRW4DqLm9+D4PRHyV4syyraJyBYR9XrBgQT1ht7168nY7SvssD/Q5KE0jPmsDcZ4ayByRRdo+D3SuHchj0U71kaKO0ZQpU4D3FBcY+ccZv8vMdgamAccnZj8E7Orud2Ys7nHgGeBTwM0AZrYisBtwfZ646hVPdsnn/em4nyw3Pr1s+vTpdZffrrIc01a42KRbDMSx7u/naKDk3VZRuUIkTSPOQY3YVjO1S9ytnmu7RVHHaOLEiYU3oOT+XcHdbwe2MrN1gI0IY44/4+65mhPdvWRmZwA/MrN/A3cDhwJrAWfmjaseyRemqBcqa6UzT7KUxtLrIXnoxCdFqNYg1N9yRaR91N3Jx91fAl7qz8bd/VwzGwpMItzo50FgJ3d/oj/ltgMly9ai10NEBlqjGoREpL30r8d9Adx9OtB9fTZEREREpOsNanYAIiIiIiLdSpVxEREREZEmyXUHzlbV29vb/jvR5ubMmcOkSZPYfvvtOeigg5odTt1eeOEFjjvuOE455RRGjhyZeb0vfOELvPvd7+bYY48tLJbzzjuPO++8k7PPPps11yzu7nr33Xcfv/3tb3nuuedYaaWV2Gqrrdh77737XDT28MMPc+655zJt2jRGjBhR2LYlXTfegbPZMXQz5ez2ydlx06ZNY/HixcvFrZw98IrM2R1RGZfmM7PhwKeBf7r7Pc2Opx5m1gPcCTzg7pNyrlsCfu/uOxQYzzbAO4Gr3b2QcZTMbD/gEsLoRb8k3LngcMJQo+Pj2zGz64FX3H2/IrYtIq1DObs9cnai/O8CU0iJWzm7fTX9Ak7pDNEdWWc2O45+mghsBXy22YEAuPufgT8XVV508v0+8Bdggrv/J5reC1wBfB34bmyV44AHzOxCd7+jqDhEpPmUs4tXdM4uM7PVgfOAvWssqpzdptRnXIS3WlimAFdFw3Z2ot2ANYFzyxVxAHe/EngK+GJ8YXf/K3APcPQAxigiUlOX5Oxya/s/gT2Bk6stq5zdvtQyLjVFLaqnAbsQbvT0BnAXcLK7PxgtswnwJHChux8QW3cX4Bjgv4E3gauA64BrgYnufnFs3clAD/BVQveJfxHu9Ppb4FjgK8AawMPAkVErRHk7KwNHAnsAmwMrAs9F637b3efV2M3dAIvKSO7/+lEcuwFrE+4cOxOY5u4LE8vuBXwLGAv8G7gSONbd58aWGRUts3O0n0sJyfYn7v6j2HIXA18CNnT3Z81sf2AG8GFCS9BehJtkOfB9d7+4xj5+MHr8S4V59wJ7mtnwqMWs7JfAmWY21t1n1ShfRFqAcnbH5GwIx+bvwFHufq+ZJe9+nqSc3YZUGZcsrgD+FzibkEQ2AA4D/hh94J+ttJKZfYGQAP8JnEJ4vx1MSL6VHE5IcucAJeCbhMRyK7A+YTz6VQhJ8bdmtqm7vxGt+yvCiecnwI+B4dF2DgfWBb5QYx8/BSwB/pDYh5FAL+GEcgHwCDAeOAnYMlqv7IOEn0zPIfyk+ClC14+1gc9H5a1OqAwPBc4ltEivBxwInG1mi939ghqxXko4aUwj/Lp1ODDDzF5w95uqrLdB9Fjp9XqOcFLdhJD4y26Npn8CUGIXaQ/K2Z2RswF+6e6X1FgmTjm7DakyLlWZ2drAroSuDVNi0/8KnAG8nwqVu6jV4yzg/wFblROwmV1A38pe3JrAZu7+fLTsAkLyew9g5QtiorKPBT4A/N7M3kdoAZmWiPFHhJaa3TPs6gTg8QoX3ZxOSLwT3P0P0bTzzWwhcIiZbeXu90fThxMugrw32v5PCcnwM2Y2xN0XE1pNRgG7ufsNsVivJJw0dyecQKp5Bfiguy+J1r2b8NPkfkC1xL4aUEq0fJeV93t4YvpjhNaxCfTtTy4iLUg5u6NyNu6+qEbZScrZbUh9xqWW16O/vczsIDNbB8Ddr3H3Ldz92pT1PkpI1GfFWkJw95cJCb+Su8pJPVL+Vn99IuE+Hj2Oisr8G6GieWKivPWAV4Gq4zyZ2WBgNKE1KD69B/gkcH8sqZcdD7yX8PNr2WPlpB7FtRS4DxhCOBa4+w8JrT43JrYzhNCylGVMqsvLST3SGz2uV2O9asMwlecti0+M9uEpYNMMcYlI8ylnd07Ozk05uz2pZVyqcvfFZjaR0O/tfOA8M/sbITFd7O7/SFnVosfHKsx7NGWdFxPPy8lrdmL60ugx/mVyEbCPme1ASELvJPxMmcWahMro64npaxBOGMvtg7u/QmjtiEvGD1Dun7hSYvo3zWw8MCaKdVg0PcsX5D7Hw92XmNlSYHCN9eYBPWY2NNlvMrb95DEAeA3YIkNcItJkytkdlbPrpZzdZtQyLjW5+68JfQ73JiT41Ql9AB81s7S+hEOix0o/saWNv/qflOlVB8M3szWAvxH6Hq5HGEP7aOC/gNurrRspnyiSiXHFLNuvUE4qM/sgoTXnmGjStYSLnDYg0SpdRdblkp6MHjeoMG8UIf7nK8wbTIZ9E5HWoJzdMTm7XsrZbUYt41KVma1CSJBPufsVhAuDMLMPEy4U+SbhQpykcuvLu4DfJ+a9q+AwDyG06nzF3S+Kz4iuqq/K3V8xs8WEq9zj5gDzCVez92FmmwGnAhdluAAn7lRCi8oW8RYqM1uXxn85vi963Jq3fzYmNu3vKf3J1wJeaGRgIlIM5eyOytn1Us5uM636RpLWMZbQanFcYnovoQVlyXJrBDcTfio72MzKP+dhZiOA/ys4xnJCjvcFxMw+SXQSMbNaXzyfBjaOT4j63l0PbB21jsQdTBimqtbwW5VinUvo0xdXHhe2kV+QrycMcTbJzMotSJjZnoR9X+6K/Wi59Vk+XhFpTcrZnZOzc1PObk8t9SaS1hONa3oj8FUzW41w6+GVgX0JF65MT1lvnpkdDlwM3G9mMwh9/A7g7W4SWX9KrOU6YBJwmZmdS0i2HyIMjfVmFO9qLN9fMO4m4FAzWyu6YKnsaMJV6bdFZT8ObEu4Qc7P3P3unLFeSzhJ/s7MriD8NPxp4COEE+VqOcvLzN3nmtkUwhBed5jZJYShDA8H/kroX5o0jnD88rQkiUiTKGd3Ts6uk3J2G1LLuGSxF2HM2S0Jt1M/mdBSsHt098aKorFR9yD8bHgycBRwC+GqdqjcNzE3d7+VkMTnRXGeRvgJ9BBCwgfYsUYxv40eJyTKfoowDu0VhJPZDwjJbjLhJJXXydHfxlFZRxOOw0cJN9fYIrrBREO4+/nAPoSfXX9IOEFdDOyY0kWlfDyuaVRMIlI45ewOydl1UM5uQz2lUlFfdEXeZmYrAcPd/dUK844mjHcbHwe2qcxsEGHEgH+6e5YxbruCmc0CnnT3XZsdi4g0jnJ2Z1DObk9qGZdGWQt4xcx+Ep8Y9Wf7HKFl4a/NCKwSd18GfAfY2cwqjTbSdaILvt5FaLkSkc6mnN3mlLPbl1rGpWHM7HrC7Y4vAf5EuNvZ5wkjdxzl7t9rYnjLiW4k8Sfgb+5+ULPjaTYz+z3wsrvv3exYRKTxlLPbm3J2+1JlXBomuiJ/EqGP8mhgMWFs2bPc/epmxpbGzN5FGAJwa3efVWv5TmVmuxLGJ3534uIoEelQytntSzm7vakyLiIiIiLSJC3TZ9zMPmFmc5sdh4iIiIjIQGmJccbNbFtgJmFM09x6e3vVvC8ibW3cuHF15b92pbwtIu2syJzd1Mp4NJTSJMKVv/MJg+nXZdy4cUWF1fJmzQrd4saOHdvkSAaO9rk7dOs+L1iwoNlhNEW35O1ufV+D9rnTdes+F52zm91NZRfgW4QbC5zd5FhERERERAZUUy/gjO5aNd/dXzOzE4FvuPuIvOX09vaWhg0bVnh8rWrhwoUADB06tMmRDBztc3fo1n0ulUpd2U2lW/J2t76vQfvc6bp1n4vO2U1tGXf359z9tSLKmjFjRhHFiIjIAFHeFhFpkQs4izBz5kymTp3a7DAGRLf20QLtc6fr1n3u1j7j3ZK3u/V9DdrnTtet+9xpfcZFRERERLqWKuMiIiIiIk2iyriIiIiISJOoMi4iIiIi0iS5L+A0sx5gO2BdYHClZdz9in7GJSIiIiLS8XJVxs3svcB1wCjSb11fAnJXxt39RODEvOuJiIiIiLSrvC3jZwLvINw180FgUeERiYiIiIh0ibyV8W2A77h75w8MKyIiIiLSYHkv4Hw9+hMRERERkX7KWxn/BTDRzDrmzp0iIiIiIs2St1J9L7AH8Hczuw6YAyxLLFNy92lFBCciIiIi0snyVsYvi/1/RMoyJUCVcRERERGRGvJWxkc3JAoRERERkS6UqzLu7k/Hn5vZqsBid3+z0KhERERERLpAPXfgHAWcBnwcWC2a9hrhZkDHufszhUYoIiIiItKh8t6BcyPgHmAd4GZgFjAYMGAfYCcz28rdny06UBERERGRTpO3Zfx0YDgw3t174zPMbEvgNuAUYGIx4YmIiIiIdK6844zvBJyVrIgDuPsDwNnAzkUEJiIiIiLS6fJWxocDs6vMf4moH7mIiIiIiFSXtzL+CLCnmfUkZ5jZIGAv4NEiAhMRERER6XR5+4xPBS4HbjWz6cDj0XQDjgS2BfYtLjwRERERkc6Vd5zxK81sJGFow2tjs3qARcDR7n5ZxZVFRERERKSP3OOMu/sPzexS4GPAxoSK+FPAre7+SrHhiYiIiIh0rtyVcQB3f5XQXUVEREREROpUtTJuZjcAU939D7HntZTcfbcCYhMRERER6Wi1WsbHAqvGnm8BlBoXjoiIiIhI96haGXf30YnnmzQ0GhERERGRLpJrnHEzu8jMxleZP8HMrk2bLyIiIiIib6vVZ3xl+nZT2R+418yerLD4IOCTwA6FRSciIiIi0sFq9RlfHXgMWCV6XgLOif4q6QFuLyY0EREREZHOVqvP+Itm9nlga0JF+3jg18BDFRZfCsxBQx6KiIiIiGRSc5xxd78RuBHAzDYGznP3vzQ6MBERERGRTpfrpj/uPrHWMmZm7u71hyQiIiIi0h1yVcbNbAVCV5UdgRH0HY1lBULf8nWAwUUFKCIiIiLSqXINbQicChwHrA8sA4zQT7wH2JQw8sqkIgMUEREREelUeSvjewG3AaOB3QiV8EPdfSywE6FFfEmhEYqIiIiIdKi8lfFRwNXuvszdnyG0im8H4O63ABcBBxYbooiIiIhIZ8pbGZ9PGMKw7B/Ae2PPe4Ex/Q1KRERERKQb5K2M3w98xsx6ouePELWMR8agbioiIiIiIpnkGk0FmA7cADxiZtsBlwAHm9l1hFbyg4HfFRuiiIiIiEhnytUy7u43AbsDTwNvuPs9wDHABOBw4OHoUUREREREasjbMt7njpzR8zPM7ExgmLv/u8jgREREREQ6We7KeCXuvghYVERZIiIiIiLdompl3MwWAqWcZZbcfXj9IYmIiIiIdIdaLeOXk78yLiIiIiIiGVStjLv7/gMUh4iIiIhI16mrz7iZjQZ2ATYELiTcDGiMu99dYGwiIiIiIoA0zf8AABRTSURBVB0td2XczE4DjgIGE7qw3AKsBlxlZr8C9nX3xYVGKSIiIiLSgXKNM25mhwDfBM4EPgKU78R5J3A2sAcwpcgARUREREQ6Va7KOHAocKW7TwEeLU9091fcfRJwKfDFAuMTEREREelYeSvjY4Dbqsy/i9CPXEREREREashbGX8J2KTK/PcDc+qORkRERESki+StjF8OfM3MtotNKwGY2X7AAcDVBcUmIiIiItLR8o6mcgIwHrgDeJZQEf+hmb0DGAU8GC0jIiIiIiI15GoZd/cFwATgYOAh4DFgCDAL+P/t3Xu4HHV9x/H3yT0hJ1RuQkSRcPlKqaWKgpVWLUWDiaHyFIpKH0meJxSwQIBIkEu4NwQwIpcEBISC1nppK0VAbpG2gNrC8eHBS/wSxFJuCZcn93BNtn/8ZpM5w5mzM2dnd87Ofl7Pc57dMzM7+/3O/OY7v52dmT0F+FN3X1t0kCIiIiIiVZTryLiZ/QNwt7t/k/BjPyIiIiIiMkR5zxk/Fdi/FYGIiIiIiHSbvJ3xp4HJrQhERERERKTb5L2AcwFwjZntRrin+EvA5uRE7v79AmITEREREam0vJ3xW6LHI6O/gdQAdcZFRERERBrI2xn/i5ZEISIiIiLShfJ2xmcD/+rut7UiGBERERGRbpL3As4j0AWcIiIiIiKFyNsZfxzd2lBEREREpBB5T1P5FrDAzPYFHmbgu6nU3P3yIoITEREREamyvJ3xq6LHA6K/gdQAdcZFRERERBrI2xnfvSVRiIiIiIh0oVydcXd/Ov6/mU0C3nD31wqNSkREusKiRYtYt24dvb29zJ07t+xwRETaLu+RcczsXYRf4pwBbBsNWw3cAZzj7s8UGqGIiFTWokWLeOGFF9hll13UGReRrpSrM25m7wF+DuwE3AssA0YCBhwNTDWzD7n7s0UHKiIiIiJSNXmPjF8CbAMc6O598RFm9kHgJ8BFwKxiwstHX3eKiIiISCfJ2xmfClyV7IgDuPsvzOxqwq90lkJfd4qIiIhIJ8n7oz/bACsHGf8i0XnkIiIiIiIyuLxHxn8FHGlmi929Fh9hZiOAvwF+U1RwIiIiIp1Mp9BKI3k745cB3wPuN7NFwPJouAGnAR8F/jbPDM3sWGAesCvwGHCau/8sZ1wiIiIiw45OoZVG8t5n/AdmNplwa8MfxUb1AK8DZ7j7P2edn5kdA1wHXAg8ApwE3GNm+7n77/PEJun0qVxaTW1MRKRaVNfbJ/d9xoEbCbczfBnYmdARfy56flXWmZhZD3ABcL27XxANuw9w4FTg5CHEJgPQp3JptXgbA7qqgGuHVS3x9Qnd1ZY7mbbD4qnv0D557zP+buA+YC/gAHe/NRp+EzAT+IKZfcrdX84wuz2B3YDb6wPc/U0zuxM4NE9cebRjgy2rKGR5304tWDfffDMbNmxgypQpw26ZtlszMbWr/TfqmA+H5VpUDNphFSdtnbS6gxyff7L9at0OX2nrrdXrajjUryrQctyqp1arNZ4qYmbfAQ4BjnL3BxLjDgJ+CPy7ux+bYV7TCb/aube7L48NPxX4KjDG3Tdliauvr682Y8YMYGvhfP755wecdvLkyf022FY0hPh7pMXRjHnz5g3YMU173/hwaLyMilTUxrbTTjvx0ksvvS3uVm/Mg63LZjoOWV67cuXKhus53obT3itrPo0MlldaG4s/T2uT8eHLli0DYJ999skV21BySO68h9qOmq0p8+bN46ijjmL//ffvGUpOnWqguh1/3s4alrf95j3wMW3aNKB17Xo4yrItN1u/i2oXeddnvHZkqV+t7hNkzSHL9FnyjEvrj2TRjuXSCsuWLWPjxo2F1uy8nfGVwCJ3vyxl/NnACe6+a4Z5fR74DrCLu6+IDZ8N3ABs6+5rs8TV19dXO+vGXwGwefNmRowYwYQJE6jVNtPTM4LxE8ZvmfaVl1/ZMk18+u132D7LW/Xz6sZXG75HfL5p0+eVNv/48Hj+GzduzJVzUXEOFmuavMs0LWcgVw7x942/Nr7skvE3s7yz5JPltfFp0qaP5zZYPo0MFluWmNKWUb846vWop7kal6UdpcWZt53m3b6SXnn5FRbM/qOu7Iwn63b8ed7tIi5LDcuyDrPEkxZDv2m23y4MTLTrZJxF1t7SZdiW8+4fBns9DH1/nnd9xt+rX19j/LgwcSLntH1FlrYJ6fuyZmp73v1X2v41Pn3efXCz6z+LvLUgPk3qehg/jrmHTy60Zuc9Z3wc8NYg4zcAf5BxXvUk0j4NbM4aFMCYCf3f9q3YO6zbuCl1urr4NDneteF79J/vwNPnfteU+ceHx/MfM2HMgPNJj6GYOJMxZZtXvmWaljOx53nfN/7a+LJLzqeZ5Z0lnyyvTZPW7gbLp5HBYssSU9oyaraNDaxxO0qTt73k374Sc8oQU1UNlntzdTtLDWu8DrPEkzb/ftO8mrY7S8ZZXO3tBPn3D+mvj2umtmVZn3H9+hop6zltX5GlbTLo9EOv7Xn3X2n71/j0effBza7/bPLVgrR9J9BwPTcjb2f8f4Bjzewb7r4hPsLMxgGzgLf9OmeKNdFjL/1/SKgX2OTu6/MEtt2ksXkmb2jFipUNj5TsvPM7G85n/foN1Go1enp6mDhxm1wxxF8LbHk+dlzIdfSooVx/21ycaTGtX7++4TLKu0zj09c/NY8eNaqpZdqseExZ1n8z83zzrfC5dyg5Z5k+bV3Gn8fXa1H5JqWt57T2khZH2nLMu86Kmk/yNWk51NdzNyq6bg+kFdts2vxh4HW8du06arXNjBwZanYztTbL67PU2rTnWWp23u1o4sSJTdWvZupfln1TUXHH13OW6YuqcYNJa0dF7Tvj+6ks0nLIss7yro+kLMsiS1tbu3Zd7vduJG9v7gJgKfBLM7sVeDIaPgU4Gngv8MmM86qfJz4lNp/6/0/kjItbziv2ms+080Dj51DdU9I5Tq0+r3Yo0s+bPWbLNGnnHKct0/g8ly5dCpSfczymotZ/2jyHw3ruf17hMY1f0OR7TJt2ABByTj9HfeA40mLNm0NR84H0c1qT63njxo2Z5lc1RdftgbS6DWdpp+3elrOcA59lv5al/aZJu86n3YqqI1nkXc/tjK1Vmsk5S57QeLm0Wytqdt77jD9kZocClwPnJkY/Dkxz9//KOLvlwDPAZ4F7AcxsNDAduDNPXK2WvCgh3kgkyHLh2mAXd3TKMk1eMDlc51mUdlzhHn+PemEfynsPpd21cj7118Q7PNJ+rW7Dw/EuEGntLq1OZ2mbeevUzJkzt1zYV6aitv9WGM6xtUqWHKqQZ165z3OI7qLyITPbCXgP4Z7jz7h7ro++7l4zs4XANWa2CngYOBHYAbgib1xFSys83dhIsmhmuQzW+RlundRWrH+1qerSB3kpQ1q7a0WdTjNr1iyg/G8zRTrBkE86dvcXgRebeXN3X2Jm44E5hB/6eQyY6u5PNTPfIqiDVL60I6YinUg1RcqQ9Uhk2sEnfYAUab3irgAcIndfBOj7WxERkRIUeWqWiOQ3ouwARERERES6lTrjIiIiIiIlUWdcRERERKQkPbVa2g9gdo6+vr7OT0JEulqRP63cCVS3RaSTFVmzK9EZFxERERHpRDpNRURERESkJOqMi4iIiIiURJ1xEREREZGSqDMuIiIiIlISdcZFREREREqizriIiIiISEnUGRcRERERKYk64yIiIiIiJVFnXERERESkJOqMi4iIiIiUZFTZATTDzI4F5gG7Ao8Bp7n7z8qNqjhmNhKYAxwLvAd4GlgCLHb3mpn1AGcBxwE7AA8DJ7n7b0sKuTBmNpawTv/b3WdGw6qc718CC4A/Bl4E/hG40N03VTHvqG3PBf4O2Bn4NXCmu/8kGl+ZnM3sMOCf3L03NqxhftE2sBD4PLANcA9wsrs/38bwC1flut3NNRu6q26rZqtmU2DN7tgj42Z2DHAd8G3gr4HVwD1mtnupgRVrPmFj/zZwGPB94OvA6dH4c4FzgK8CnwO2BZaa2bbtD7Vw5wHvSwyrZL5mdhDwY2AZMB24BjiDkCtUM+/TCW37JuCzwO+Au83sA9H4SuRsZh8lbL89iVFZ8rsO+CLwFWAWsB9wV7RT7EhdULe7uWZDl9Rt1WzVbAqu2T21Wq356Nss+oTye+DH7n5CNGw04MAd7n5ymfEVIVp5q4Ar3X1+bPhi4EhgD+B54GJ3vzQa9w7CkZjz3f1r7Y+6GNHG/SDwKnCnu880s16qm++DwBp3/0xs2ELgI8AMKpi3mS0DHnH3L0b/jyRs07cDZ9LhOUdHSOYAFwEbgDHuPjEa17Atm9kewBPAF9z9e9E0exFq3BHu/m/tzqlZVa/b3Vyzobvqtmq2anbRNbtTj4zvCexGaAQAuPubwJ3AoWUFVbBJwK1AcgU6sCNwMDCR/stgFfCfdPAyMLNRhE/elwPPxUZ9hGrmuyNwEHB9fLi7f8XdP0FF8wbGAmvr/7j7JmANsB3VyPnThB3U6cDViXFZ8js4erwjNs1ywlfDnbIMkqpet7uyZkN31W3V7EA1u9ia3annjO8dPT6ZGP4UsIeZjYwaSseKVvSJA4yaATxLON8SwldFcU8Bf9XC0FrtDGAMcAlweGx4fZ1XLd/3E74O22BmPwI+SSh4S4ALqW7ei4FzzeyHwKPATGBf4GyqkfMjwO7uvtrMzk+My5Lf3sAKd98wwDR705kqXbe7uGZDd9Vt1WzV7LrCananHhmfFD2uSwxfR8hpm/aG0x5mNhs4BLiMsAxed/c3EpOtY+vy6Shmtg9hw549QF6VyzeyY/R4K/BbwqfzJYRz006nunlfCzwE3E84b/jrwHx3v50K5Ozuz7n76pTRWfKbxNvrW3KaTtN1dbvqNRu6sm6rZqtm1xVWszv1yHj9xPq0E943tyuQdjGzowkXB/wL4WKRM6lQ/mY2ArgR+GbKnRV6qFC+MaOjx3vcvX6R1wNmtgOhuC+kYnlH5w7fA/wh8CXCRVCHAOeZ2Wqqu67rsuRXxWXQVXW76jUburZuq2arZscVUrM79cj4muixNzG8F9jk7uvbHE9LmdlpwLcI5yId7e41wjIYG10AFdfL1uXTSU4i3ApsvpmNis5BBOiJnlct37p6W707Mfw+wjlqq6le3gcBfwYc7+7Xuvt/uPs5wNcIRxA3UL2c47K05TW8vb4lp+k0XVO3u6RmQ3fWbdVs1ey6wmp2p3bGl0ePUxLDpxCuZq0MM1sALCIU9iNiX5MsJ3wSS94SbArhgqFOczjhnMpVwJvR336E2wTV/69SvnX182fHJIbXN/oq5v3u6PHnieEPARMIRxeqlnNclm13ObCzmY0fZJpO0xV1u4tqNnRn3VbN3ko1u6Ca3cmd8WcI97oEttwiazqwtKygimZmcwhfbV4JzHT3t2Kjfwq8Rv9l8A7g43TmMjgO+HDi7wnCkaUPA9+lWvnW/YZw94EjE8OnE26lVMW86x2vgxLDDwTeItyNomo5x2XZdpcCIwkX/9Wn2YtwwVSnLoPK1+0uq9nQnXVbNXsr1eyCanZHnjMe/ZLZQuAaM1tF+CWkEwm/inRFqcEVxMx2AS4FfknYuA80s/gkjxJuv3ORmW0mbCxnE67qvrG90TbP3d/2ydHMXgVecfdHo/8rk2+du282s7OAW8zsWsL5pYcAxwAnuPvaquXt7n1mdiewxMy2I5x/+AnCHRmudPdnq5ZznLuvb5Sfu//OzH4A3GDhRyVWEe5U8ThwWzmRN6fqdbvbajZ0Z91WzVbNpgU1uyM74wDuviT6OmAOcCrhJ3inuvtT5UZWmKmE+3q+HxjowpgdCT/Nuhn4MuFctZ8Cx7h7Fc7RGkgl83X3W83sTUJ+swhHD4939/p9bKuY95HAxYSCth3hqOnJwDei8VXMOS5LfrMIndRLCd9i3k/4aeVOvv1fleu2avbAKpezarZqNgXX7I78BU4RERERkSro1HPGRUREREQ6njrjIiIiIiIlUWdcRERERKQk6oyLiIiIiJREnXERERERkZKoMy4iIiIiUhJ1xqVrmdn/mtndZcchIiKNqWZLVakzLiIiIiJSEnXGRURERERKos64iIiIiEhJRpUdgMhwYGY9wInATOB9hA+qy4Er3P3mxLSzgbnAe4FlwJeB64GH3H1m24IWEelSqtlSJToyLhIsAK4EHgXmAOcB44GbzOyQ+kRmdgpwA/B/hIL+a+AuYOd2Bywi0sVUs6UydGRcup6ZjQb+HrjJ3Y+LDb8NcOBTwP1mNgm4ELgbmObuNWCxma0gFHkREWkx1WypGh0Zl67n7m8C7wROqQ+LvgIdH/07MXo8GOgFroyKet3l7YhTRERUs6V6dGRcJHgdOMLMDgP2AfZma0Gvf2jdM3p8Mv5Cd3/RzFa3JUoREQHVbKkQHRmXrhcdUbkD+C7wLuAB4EvAbolJ6x9e3xhgNq+1LEAREdlCNVuqRkfGReBjwKeBs9z9kvpAM0te4PNU9LgX4WKg+nSTgJ1aHaSIiACq2VIxOjIuAttHj8sSw0+KHusfWu8FXgWOT0x3AtqWRETaRTVbKkVHxkXgYWAdcLWZ7QFsAKYBnyF8vdkL4O6rzewCYKGZ3UX4mvQDwNHRfGrJGYuISOFUs6VS9MlQup67ryQU8WeBCwi3wuoFphKK95+b2Yho2ksJV/AbcAXwQWB6NKuBzksUEZECqWZL1fTUavpgKJKFmY0Fxrn7msTw7YGXgYvdfX4pwYmISD+q2dIpdGRcJLtdgNVmNicx/Mjosa/N8YiISDrVbOkIOjIukoOZPQj8CXAN4d61+xIuBvoF8DF331RieCIiEqOaLZ1AF3CK5HMYMB/4HOGoywpgMXC+irqIyLCjmi3Dno6Mi4iIiIiUROeMi4iIiIiURJ1xEREREZGSqDMuIiIiIlISdcZFREREREqizriIiIiISEn+H+1XX7z0rsL1AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tr2c = tracehm2c[1000::5]\n", "pm.autocorrplot(tr2c, varnames=['intercept', 'slope', 'sigma']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Everything is kosher now! What just happened?\n", "\n", "The intercept is now the expected value of the outcome when the predictor is at its mean. This means we have removed any dependence from the baseline value of the predictor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Posteriors and Predictives\n", "\n", "We can now plot the posterior means directly. We take the traces on the $mu$s and find each ones mean, and plot them" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(df2.weight, df2.height, 'o', label=\"data\")\n", "#plt.plot(df2.weight, tr2c['intercept'].mean() + tr2c['slope'].mean() * (df2.weight - df2.weight.mean()), label=\"posterior mean\")\n", "plt.plot(df2.weight, tr2c['mu'].mean(axis=0), label=\"posterior mean\")\n", "plt.xlabel(\"Weight\")\n", "plt.ylabel(\"Height\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, by including the $\\mu$ as a deterministic in our traces we only get to see the traces at existing data points. If we want the traces on a grid of weights, we'll have to explivitly plug in the intercept and slope traces in the regression formula" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "meanweight = df2.weight.mean()\n", "weightgrid = np.arange(25, 71)\n", "mu_pred = np.zeros((len(weightgrid), 2*len(tr2c)))\n", "for i, w in enumerate(weightgrid):\n", " mu_pred[i] = tr2c['intercept'] + tr2c['slope'] * (w - meanweight)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see what the posterior density (on $\\mu$) looks like at a given x (weight)." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(mu_pred[30]);\n", "plt.title(\"posterior density at weight {}\".format(weightgrid[30]));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can create a plot of the posteriors using the HPD(Highest Posterior density interval) at each point on the grid." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "mu_mean = mu_pred.mean(axis=1)\n", "mu_hpd = pm.hpd(mu_pred.T)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(df2.weight, df2.height, c='b', alpha=0.3)\n", "plt.plot(weightgrid, mu_mean, 'r')\n", "plt.fill_between(weightgrid, mu_hpd[:,0], mu_hpd[:,1], color='r', alpha=0.5)\n", "plt.xlabel('weight')\n", "plt.ylabel('height')\n", "plt.xlim([weightgrid[0], weightgrid[-1]]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like our posterior $\\mu$s are very tight. Why then is there such spread in the data?" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[height]" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hm2c.observed_RVs # these are the likelihoods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The posterior predictive\n", "\n", "Remember that the traces for each $\\mu \\vert x$ are traces of the \"deterministic\" parameter $\\mu$ at a given x. These are not traces of $y \\vert x$s, or heights, but rather, traces of the expected-height at a given x.\n", "\n", "Remember that we need to smear the posterior out with the sampling distribution to get the posterior predictive.\n", "\n", "`pymc3` makes this particularly simple for us, atleast at the points where we have data. We simply use the `pm.sample_ppc` function" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:03<00:00, 325.92it/s]\n" ] } ], "source": [ "postpred = pm.sample_ppc(tr2c, 1000, hm2c)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that these are at the 352 points where we have weights." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1000, 352)" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "postpred['height'].shape" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true }, "outputs": [], "source": [ "postpred_means = postpred['height'].mean(axis=0)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true }, "outputs": [], "source": [ "postpred_hpd = pm.hpd(postpred['height'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now when we plot the posterior predictives, we see that the error bars are much larger." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(df2.weight, df2.height, '.', c='b', alpha=0.2)\n", "plt.plot(weightgrid, mu_mean, 'r')\n", "plt.fill_between(weightgrid, mu_hpd[:,0], mu_hpd[:,1], color='r', alpha=0.5)\n", "yerr=[postpred_means - postpred_hpd[:,0], postpred_hpd[:,1] - postpred_means] \n", "plt.errorbar(df2.weight, postpred_means, yerr=yerr, fmt='--.', c='g', alpha=0.1, capthick=3)\n", "plt.xlabel('weight')\n", "plt.ylabel('height')\n", "plt.xlim([weightgrid[0], weightgrid[-1]]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But we would like the posterior predictive at more than those 352 points...so here is the strategy we employ...\n", "\n", "If we want 1000 samples (at each x) we, for each such sample, choose one of the posterior samples randomly, with replacement. We then get `gridsize` mus and one sigma from this posterior, which we then use to sample `gridsize` $y$'s from the likelihood. This gives us 1000 $\\times$ `gridsize` posterior predictives.\n", "\n", "We will see later how to do this using theano shared variables." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3600" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2*len(tr2c)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n_ppredsamps=1000\n", "weightgrid = np.arange(25, 71)\n", "meanweight = df2.weight.mean()\n", "ppc_samples=np.zeros((len(weightgrid), n_ppredsamps))\n", "\n", "for j in range(n_ppredsamps):\n", " k=np.random.randint(2*len(tr2c))#samples with replacement\n", " musamps = tr2c['intercept'][k] + tr2c['slope'][k] * (weightgrid - meanweight)\n", " sigmasamp = tr2c['sigma'][k]\n", " ppc_samples[:,j] = np.random.normal(musamps, sigmasamp)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true }, "outputs": [], "source": [ "ppc_samples_hpd = pm.hpd(ppc_samples.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we can plot using `fill_between`." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(df2.weight, df2.height, c='b', alpha=0.9)\n", "plt.plot(weightgrid, mu_mean, 'r')\n", "plt.fill_between(weightgrid, mu_hpd[:,0], mu_hpd[:,1], color='r', alpha=0.5)\n", "plt.fill_between(weightgrid, ppc_samples_hpd[:,0], ppc_samples_hpd[:,1], color='green', alpha=0.2)\n", "\n", "\n", "plt.xlabel('weight')\n", "plt.ylabel('height')\n", "plt.xlim([weightgrid[0], weightgrid[-1]]);" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 167.40808856, 187.10805513]), array([ 147.03346762, 166.48249272]))" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ppc_samples_hpd[-1], ppc_samples_hpd[22]" ] } ], "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 }