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@aflaxman
Last active August 29, 2015 14:06
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{
"metadata": {
"name": "",
"signature": "sha256:a3a2e98c64eb97d9b3fa68626e0c4568aa38020ae66c6dddc12d2effca316598"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np, matplotlib.pyplot as plt, pymc as pm, seaborn as sns\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def model():\n",
" sample_0 = [8.254828927, 8.485694524, 10.58058423, 5.221356325]\n",
" sample_1 = [7.921107724, 9.744301571, 5.750874082, 8.421883012, 11.09813068]\n",
" pooled_data = np.hstack((sample_0, sample_1))\n",
"\n",
" # hyper-parameters\n",
" S = 1000 * np.std(pooled_data)\n",
" M = np.mean(pooled_data)\n",
"\n",
" L = .001 * np.std(pooled_data)\n",
" H = 1000 * np.std(pooled_data)\n",
"\n",
" # prior\n",
" mu = pm.Normal('mu_1', M, S**-2, value=[M,M])\n",
" sigma = pm.Uniform('sigma_1', L, H, value=[np.std(pooled_data), np.std(pooled_data)])\n",
"\n",
" # likelihood\n",
" obs_1 = pm.Normal('obs_1', mu=mu[0], tau=sigma[0]**-2, value=sample_0, observed=True)\n",
" obs_2 = pm.Normal('obs_2', mu=mu[1], tau=sigma[1]**-2, value=sample_1, observed=True)\n",
"\n",
" # derived quantities of interest\n",
" d_mu = mu[0] - mu[1]\n",
" d_sigma = sigma[0] - sigma[1]\n",
" @pm.deterministic\n",
" def effect_size(d_mu=d_mu, sigma=sigma):\n",
" return d_mu / np.sqrt(.5*(sigma[0]**2 + sigma[1]**2))\n",
" @pm.deterministic\n",
" def outside_rope(effect_size=effect_size):\n",
" return -.1 < effect_size < .1\n",
" \n",
" return locals()\n",
"\n",
"vars = model()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m = pm.MCMC(vars)\n",
"m.use_step_method(pm.AdaptiveMetropolis, [m.mu, m.sigma])\n",
"m.sample(100000, 50000, 10)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [- 4% ] 4754 of 100000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---- 10% ] 10900 of 100000 complete in 1.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------ 17% ] 17099 of 100000 complete in 1.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-------- 23% ] 23545 of 100000 complete in 2.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [----------- 29% ] 29909 of 100000 complete in 2.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------------- 36% ] 36180 of 100000 complete in 3.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--------------- 41% ] 41859 of 100000 complete in 3.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------46% ] 46625 of 100000 complete in 4.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------51% ] 51724 of 100000 complete in 4.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------57%- ] 57566 of 100000 complete in 5.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------62%--- ] 62191 of 100000 complete in 5.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------67%----- ] 67410 of 100000 complete in 6.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------72%------- ] 72434 of 100000 complete in 6.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------77%--------- ] 77929 of 100000 complete in 7.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------81%---------- ] 81155 of 100000 complete in 7.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------83%----------- ] 83262 of 100000 complete in 8.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------89%------------- ] 89145 of 100000 complete in 8.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------95%---------------- ] 95280 of 100000 complete in 9.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------97%----------------- ] 97547 of 100000 complete in 9.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 100000 of 100000 complete in 9.8 sec"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pm.Matplot.plot(m)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting effect_size\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" sigma_1_0\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" sigma_1_1\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" mu_1_0\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" mu_1_1\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" outside_rope\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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UfUMj837YGHJ9r3De+nQ5AP96YS6PXHtQxP0X/hj6D8xZC34KGUh5aT0h5LdL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\nf/8P/bGdkaQpdjAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x19291588>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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v2c0FIw7i/OEHeRxz9d8fttPa428s55bfHUO/nmltnmvt3ucWAs2z0mo93Obx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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1af14978>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3IRKJFedMsmJMZtPmCZR3AjLXvfbb6IFdWLq+iAE9O5DbPnDfinapdmoO1fuc\nx/t83rnNCSN78L8tpZw3pS/5uRkBl34BuPWXI3ntk02cNKYnWRnNrz9qQB7Tpw5kaN9OPtsDfX+d\nObHQk0A1rXkZf1Q+U8cZNSxdvMo0akBewOSsqYG9OpCVkcrsJs2hw5qULxxd/Dwvvzi+H7v3VzF5\nWMBJ5fFOobp1zmy2uG5TNpuNJ26agj3JFjLOlOQkz8LRkSZQ3m65eAQlpdWUVx3yzBavenbAnhRd\nxas9yUZ2RgrlVXXUuxP3Yf06M8xdI+ktWIzeOcrQvp1Y+OuJZLvfd3kd0tnlXi8yFFuYGdQNFwyj\nX/ccnE4XV9631GffnAuH0Ts/i6oaB/kdMzhYFbw/WUa7wB8ZvzxJ8Y//6ID7hYgXKyYZVozJbNq+\nBsrPZ/6RvXNZPGcy7VKT/a74DnDbpaPI65DODY8uA/wnLzabjV+fN5RtxQfpmN2OO6aNCatM/Xt0\n4JYgTT5JNptn4d1g+nXPYWNRmU8HW7vd98v62OHd6dGlec1HOMlTWqqdxTdODnhsakp0I/AeuuFY\nqiprPGvinRRm8yEY/YIuOrE/24oP+ixY60+yvXnicsYxhZRX1fHx+tAT2PfpGny0Xb/uvh3CB/TK\nZUAvo3n4y417+amonI5hThXw56vG89byLSz7ZpdnW1KSjSF9O7H8m9308vMaegv2cjZ9/bL9JO3h\nCPWWGTUgj2vObuyo7u+PZnAfI+n298MhEkk2G8eP7EH3zplBaxeFEMIqYpJAKaW6Aw8A+4ENWuvF\ngY4N9OXf0LwW6Euhb5MvR3+SbDaG9+vs6aPUWjzNhk3KOveSkdQcctAuNZn0NDvVtfVkZxhNcg9e\ncwx6+4GQzWz+XH3WYDbuKONnY3r4ff5mnDaIlz/6kTEDm/eHCke/nh2CNns1yM9Np9i9EG7T9Zr9\njdQKx1mTjL5gp08oZOn6IkYPyAt4bPfOwZOWpv2QvM29ZCSVNY5mfXcCyeuQjurZwSeBstng0pMG\nMG5QPoN6B+/A7a9PUzj7Wuqas4ew6PVv/O4L56rhPj+BTh5uLaoQQphdrDqRzwQe1lpfA5yqlAqY\nmCXbkzjjmEKfIdzeWvL5G03LTFoEnZsbNOQOTZtQkpJsZLj7MP1h+lgu+/kAT8KUm5XGuEH5kRcQ\nSLEncdGJ/emck+53//jBBSz89aRWH1re2d2Juk/X7MbnIEbfl7lZaZwz+YhmiVimd5NRiGs5m2Z1\nXuxJSRGUVR6SAAAgAElEQVTX9DR9PyXZbKSm2Bncp1PAvkINGp6XE0f7G8wQUTECX8PPtlED8uje\n2egM37TGL5zkxmazRTRBZm/365Xnfm96d0KPZOCAEK3JinMmWTEms4lVE14B0LASaymQAwTsrdpQ\n6+BPuP06/OmYFflMzsmtNB9SXod0jh3ePfSBZuL+Ak6yEbgXeYw9dN1Ern9kGdW1Dr/Nvw3FcrmC\nJ1DRaJpwRFJz1PDYi07oz4TBBdz17OdRnSeca3TvnEmRVx+0048p5Mm3/seU4aGbnVvqxguG8e3m\nfYx01xx6D6Y499i+2GzwtnzGizizYn8hK8ZkNrFKoLYBPYEioCNGEuVXXl7wph5XgC/Bpo/r2DGT\nPPcoqoU3HsvGHQeYOKpnWL+yX7z7FJ5+81s+XLsNm80WskxNpbqbG5NTkiJ+bCDBzpOTkx6z6wS7\n/n3XTiI5OfDzkeaO256c5MmfMjPTWlS2cB7bLtVOda2D9PRUv8cn2WzUu1ykp6eGfc5wZGeX+Za1\nSxZpYfYzy/Z6zZx238ece3z/gGVM9RopGiqOwf078+XGvYw8Mp9f9OxAt7z25OVlcWpeFieO7xO0\nrD8b2wu73f/7NzOzsS9bqDLk5UHfQv+DFzp3zOTEsb34RdAzCCGEOcUqgXoKWKCUmgYs0Vr77wkO\nYfW1mTZ1IM++973nvuqR0+xxZWVVpLi/xrPT7Izs24m9eyvCLrDLaRTR6XSFVSZvNbV1xmPrnRE/\nNpBg5ykrq47ZdfzJy8tiz56DdG6fErQsPTpn8MUPcERBNpuKygGoqT4UVdkuPrE/6WnJYT32guP6\n8fi/NzBuYJ7f4687dwh//+AHxqq8oOWPVMXBGp/7+/dV+O0I70/p/kr2ZBuJSGlZtWd7w2CJQGU8\ndMjhuR0qjsmDC+iYkcpRfXI9E2CGG/tF7ola/R1fWdk4MWlLnsvyg637vhVCiHiKSQKltS4GLonF\nuQAmD+vGh5/vYMeeCgoLsrjZa4TcSWN6suzrXSFHfIXSkkYUlzPw5IdWNnVcb3Kz0hgzMJ+NRWVs\nLCrz9IuK1IkRzOo9blA+Y4/sErB2cWjfztw/O/YDB5peLtTLnZWRwsEqd3LtVZHq3Swdai6ySCTb\nkxjevzXijtH7uo2aeYUIxYpzJlkxJrNp82kMwjX+qHxe+biCMQO7+CQqvzihPxce36/FH/J9umXD\nOhgRxRdQQadMNmwp9Vn6pTU09G2JNkmJtbRUu6df17XnDOHzH0rCmt4hFuIxuqugo+8cWaESZu8y\nevfHys40avaiea+ZWVvnT0qpCcAs4CBQDFQDhRh9Mm8E0mgyWlgpdRPQu+EYrfXeNi62aANWTDKs\nGJPZJGwCdfK4Xgwq7EhPP+vkxeLL9OhB+XTKbhdybiF/zj32CPr37siQ3pFPSdDUlBHdqal1+N13\n6y9HsnNvld95o+ItOzOV4/0sl2Ml3iMCe3VpH/J9573buy9fSrLdM4lovF3yM0WnMOfCaqlA/Rlb\nUQdgtta6Uin1AVCjtT5TKTUFmAG0wxgtvEop9Y5S6nlgktb6DK9j7m3rQgshzClhE6gkm43eBa3X\ncdpms0U1JxMYzTCnHtMnJv07fnXygID7Mtql0K9H6PmvROsLawoAr9tNF2sOt+9UawtnceiWpnmD\n+3Tk28372zzx11q/q5SyKaXmAS8Ak927dgDdgFR8RwvnAiXu+0XuY4QQIiwJm0AJkUi2FodOln2a\n8JzR1b4M6NmBr3/axwgVeELRRHftOUPYvb8q6slVo6WUygIWYiRPnwJnu3f1BHZizHvnPVp4J9Aw\nhLCHe3tQubkZJCebd36r1h7N21YijePOO+8E4I477miN4njYk2P3Qyk5wCjZBm0VUzgO1/eVJFBC\nxIh3C92RvXOjOsdJY3tyRLdsjh7eg9L9wdcXbC0N6yP27Z4d4kj/UlPsbZ48uS0E+gHTgV8BS5VS\nizCa9q4CMvAdLVyvlGp6TFClpeGtU5iIGkbbml00cTT0F2rt+OsDLEUWDUeIUd5tFVMoh/P7ShIo\nIWKkoQZqwuACz4z0kbInJTGgV25cm/xGqs5cc/ZgzzqCZqG1viLEIQdpMlpYa/1I65VICGFlkkAJ\nESMNLXhx6DwdUzabjVEDoltXUQghDheSQAkRIybPm4SwrEBzJv3v+x9YufbrmF2npq4+ZucKReaB\nir+oEiil1GXAaK31dUqp9sBjwF6gTGsd/x5tQsRBQacM9pbVePoQCSESQ6AkY+Xar1le5H8pomgk\ndYzduUKRxCn+Iu5ooZQ6H8inMfm6AHhba30D0FMpJUOBxWHpylMHcf5xfZk6rle8iyKEEKKVhayB\nUkrNAC722nQ9sAaY676fD3zmvr0T6Or+X4jDSnZmKlPH9Y53MYQQQrSBkAmU1vpJ4EnvbUqpQq+7\n2zDmUAHoToi5VKwyXwRILImqtWJp6+fISq+JEPFkxf5CVozJbKLtRO7dXXYJ8IRS6hjgR6317mAP\ntMJ8EWCduS9AYglXWz5HVnpNhIg3KyYZVozJbKJKoLTWW4Gr3bdrMCatE0KImFJKZWitzTt7pRDC\nsmQaAyHC0C7VvMt3mNw9SimAV7TWK+JdGCGEaJAYK5wKkeASZTHgw43W+kZgEXCfUuodpdQloR4j\nRFOLFy/w9BmyCivGZDZSAyVEGCqq6+JdhMOSUuo5YDcwQ2v9nVLqAYzFgoUImxX7C1kxJrORBEoI\nkcj+AWzFmGOuo9b6t/EukBBCgDThCSES22XAJmApMDPOZRFCCA+pgRJCJLJaYIT7tqw2KKJixTmT\nrBiT2UgCJYRIZDdhLBeVDNwc57IIk7JikmHFmMxGEighRCK7GBgL1AOjgOnxLY4QQhgkgRIiDCnJ\n0l0wTrpqrWWiXiFEwpEESogwZLSTP5U4GaCUuhaoBlxa62fiXSBhPlbsL2TFmMxGvhWECGLquF68\nt3obHbPS4l2Uw9Wj8S6AMD8rJhlWjMls2jSBstlstra8nhCx9OhN8S7BYWk0Rh+o14FuwCehHqCU\n6gf8S2s9Uin1NGDHGMH3V6AIeADYD2zQWi9WSt0E9AZygBu11ntbJRIhhKVIxw4hRCIrBH7SWr8E\nHBHqYKVUPnAFUOHeNMR9+yCwAZgFPKy1vgY4VSnVHpiktb4WeBqYEfMIhBCWJAmUECKROQGllLoK\n6BjqYK11sdb6VqDSvekmd3L0AXA9kA9sd+8rBXKBEvf9IoxaLmExVlw3zooxmY30gRJCJLLfAj/D\naIabFskDlVJZwCCMZr/9GJ9324CeGMlSR2An0Mn9kB7u7QHl5maQnGyPpBgJJS8vK95FiIlI47jj\njjv8bs/MTNy+jcn2pKBxBoopHg7X95UkUEKIRPaE+/8OGM1vp4X5OJfW+qBSaqBSaiGQjTEpZzKw\nQCk1DViita5XSi1VSi1yX+OqYCctLa2KJoaEkJeXxZ49B+NdjBaLZRyVlbVA+5icK9Yc9U5TvF6H\n8/tKEighRMLSWnsmznQnQuE+7hT3/9f72X1Jk2MfibqAQojDliRQQoiEpZT6o/tmMtArnmUR5mXF\nOZOsGJPZtEkCpZTqTpOhw21x3ZZqMhzaZ6gzkIYJhkMrpSZgNH0cBIoxJiQsxGRxACil+gN3AXuB\nz4EumPA1aaCUegH4N0ZiYMo4lFK9gTeB9cAujDIXErtYnnL/78DoryRExKyYZFgxJrNpq1F4M/Ed\nOpzwNV/ew6GVUmk0H+rcNKZEHQ7dAZjtLtdEzBsHGP1Y5gJzMJphJpo1FqXUHKDcfdfMr8kkjMTJ\nBawAJsc4lr8At7j//VcpJcOOhBAJoa0SqAJ8hw7ntNF1o9ZkOHRHGoc678AY6tw0poQcDq21fheo\nUkrNA14A9rh3mSoOAK31OqAOeBtYikljUUqdgVG+VRijy0z53nJbgzE67gqMxLbYvT1WsfxPaz1b\na/1r4AuttfzsFkIkhLaqCWo6dLi0ja4bKyU0DnXuidGUkEQLhkO3FfdQ7oUYydOnwNnuXaaKA0Ap\nNQLYqrU+WSm1hMYfAGaL5WKMv4EB7vsNQz/MFgfACGCl1tqllKqiMSGKVSyp7iY/O9JnU0TJiv2F\nrBiT2bTJ0iru5rAFGF8Ua7XWT7fFdWNBKfWu1voUpdSvMb7wGoY6Z9AkpqbHaK3jPrbTvZRFP4wk\nth74AhPGAaCUGoPRlLMDqMX48jVlLABKqcsw+qQVYNI4lFIjMV6TEuBLIJMYxuJu7u8P5GqtV7Rm\nLOEoKSl3xbsM0Tqch5sH8vTfX2F5UafQB0bg7QVnAXDanDdadB7bgW95+k+/jkWRWpXV31ddumQH\nzJNkbTohRMJSSi3GmKjn78B5WutZ8SyPJFDxJwlUYrH6+ypYAiVLuQghEpkD2KG1/j+M/m9CCJEQ\n2rRPQV2dw2XmmXy95eZmmHpWYm8SS+KxShwQ/BdcGLYAFyilXgR+ik2JxOHGiv2FrBiT2bRpAmXm\nNaSaklgSk1VisUocMVAOnAgkaa3LQx0shD9WTDKsGJPZhJVAKaXGAX/SWh/XZPvpwO0Y1ezPaK2f\n8vd4IYSI0oUYHdErlVIurfUz8S6QEEJAGH2glFI3A09izCjsvT0FY3TNz4BjgZlKqS6tUUghxOHH\nPYL0boxaqI1IE54QIoGE04l8I3AOzUfsHQls1FqXaa3rgGXA5BiXTwhx+ErVWn8CHKu1/sR9W4iI\nLV68wNNnyCqsGJPZhGzC01q/ppQq9LMrGyjzun8QE8wwLoQwjQKl1AlAV6XU8YBNa/3feBdKmI8V\n+wtZMSazaUkn8jIgy+t+FiFmGC8sLGTLli0tuGRiycvLCn2QSUgsiccqcbTACxizlb+IMZu5EEIk\njJYkUN8D/ZVSuRjrxU0G7g/1ICtMuAXWmTwMJJZEZJU4WkJr/Wy8yyCEEIFEkkC5AJRSFwHttdZP\nuleU/wCjL9XTWutdrVBGIYQQImpWnDPJijGZTVgJlNZ6CzDBfftFr+1vA2+3SsmEEEKIGLBikmHF\nmMzGUqubOxwOXnjhOZxOJ9Onz/B7zIcffsCaNauor3dw5pnnMnTo8DYupRBCCCHMLmESqHfffYtl\nyz7liCP6smXLZpQawLZtW5k4cTLV1dUATJ16GvPn38nll8+koKBrs3MsWfIyDocDmy3wyhGvv/4q\nixY9SW1tDbfddjMPPPCIZ9/f/vYklZWVFBfv5sQTT2LixGN59NEF2O3JFBfv4pZbbufFF/9OeXkZ\nDkctJ598Ort27eT//u99+vcfwIEDpbhcLoYOHc7pp58V+ydJCCGEEAkhYRIom83G6NFjOeec87n2\n2plcdNGl7N69ixdeeI5hw0aEdY4LL7yE9evXsX79uoDH2O3GEhlpae2oqanx2Tdq1BgcDgfffPMV\ny5d/RmZmezp3zuOXv5xGUdEOtm/fSmlpKbfcchs5OWlMm3Y5P//5qYwfP5ELLriI+fPv5IILLqZ/\nfxX9EyGEaBGlVD/gX1rrkUqpm4DeGFOs3IgxIfADwH5gg9Z6cdNjtNZ741R00Uqs2F/IijGZTcIk\nUADp6emAkUylpKRgs9lwOp3Y7XZPslNWdoDmc3qGryGBqqmpIS2tnWd7bW0Njz++iGnTrmDQoKMo\nKtpBXd0hkpKMuUarqipp164d3pVbLpcLgKysxuHm3reFEG1LKZUPXAFUKKXSgEla6zOUUlOAGUA7\n4GGt9Sql1DtKqef9HHNvnIovWokVkwwrxmQ2QRMopVQSsBgYCtQCV2qtf/LafzYwD2OE3jNa68da\no5BDh47g3nvvYsuWTZSXl7svF1iwJryzzz6f+fPvpLa2hhkzrvZst9uTyczMZM2a1djtdiorKxgz\n5mg+/vgjHn74QcrKDjBnzi3k5HRg4cIHAAczZlzNjh3bm149+kCFEC2itS4GblVKvQd0BErcu3YA\n3YBUoOGPthTI9TqmyH1MQLm5GaZe6Nkqc4vFKo7MzLTQB8VJsj3JNK+XWcoZSqRxhKqBOgtjOYUJ\n7gWFH3Rva7AAGIExD9T/lFIvaq3L/JwnpKlTT/PcfvTRxwHo0aMn8+bdAcDDDy/27P/pp40899zT\nPo8fPnwkw4aNYMSIUYwYMYrKygpeffVln2MKCrpy8smnMHnylGbXT05O5r77Fjbbfuutv/e5P2vW\nNUDjPD1Dhgzz7GsoqxAiIZQAndy3ewI7MaZc6YmRLHV0b2s4pod7e0ClpVWtUtC2YJW5xWIZR2Vl\nLdA+JueKNUe90xSv1+H8vgqVQB0DvA+gtV6tlBrdZH8d0AFwYlS9BK8aipG+ffvRt2+/oMdkZrbn\nssuuaIviCCESj0trXa+UWqqUWoTxOXUVkAEsUEpNA5YEOEZYjBX7C1kxJrMJlUBlY6yE3qBeKZWk\ntXa67z8IrMOogVqitS5vegIhhGhrWutT3P8/0mTXQeCSJsc2PUZYjBWTDCvGZDZJIfaX47venSd5\nUkr1Aq7FGL1SCOQrpc5rjUIKIYQQQiSSUDVQy4HTgVeUUkcDX3vtawfUA7Vaa6dSqgSjCjwoq3Q2\nA4klUVklFqvEIYQQVhQqgXod+JlSarn7/vQma+E9B6xQStUAG4FnQ13QCp3NwDod50BiSURWiUOI\nRGDF/kJWjMlsgiZQWmsXcHXTzV77HwIeaoVyCSGEEDFhxSTDijGZTag+UEIIIYQQoglJoIQQQggh\nIiQJlBBCCEtbvHiBp8+QVVgxJrNJqLXwhBBCiFizYn8hK8ZkNi1dC28MxmSaNowlEH6ltT4U6qKj\nRg0GYN26b6MuuBBCCCFEvIRqwvOshQfMxUiWAFBK2YAngGla60nAf4E+rVVQIYQQQohEESqB8lkL\nD/BeC08B+4A5SqmPgQ5a6x9aoYxCCCFE1KzYX8iKMZlNS9bC6wxMAK4BfgLeVkp9rrVe2jpFFUII\nISJnxf5CVozJbKJeCw+j9mmj1voHrbUDo6ZqdNMTCCGEEEJYTUvWwtsEtFdK9XV3LJ8EPBXqgnl5\nWSQl2Ty3zczs5fcmsSQeq8QhhBBW1NK18K4A/unuUL5ca/1eqAvu2XMQp9PluW1WVlqrTGJJPFaJ\nQ4hEYMV146wYk9m0dC28pcC4ViiXEEIIERNWTDKsGJPZyEzkQgghhBARkgRKCCGEECJCkkAJIYSw\nNCvOmWTFmMxG1sITQliWUqo38CawHtgF7AcKgRzgRiANeMC9fYPWenF8SipakxX7C1kxJrNp0Vp4\nXsc9AezTWt8aycVlTTwhRCubhJE4uYAVwEyt9RlKqSnADKAd8LDWepVS6h2l1BPuee2EECKoqNfC\na6CUmgUMxviAEkKIRLIGmAZcAcwBit3bdwDdgAJgu3tbKUbNlBBChBSqCc9nLTyllM9M40qpCcBY\n4HFgYKuUUAghojcCWKm1dimlqjCSJoCewE6MH5E9gSKgI0YSFVBubgbJyfZWLG7rssrkrJHGceed\ndwJwxx13+GzPzEyLWZliLdmeFDTOQDHFw+H6vop6LTylVFfg98DZwIURXVUIIdrGj8D9SqkSjImB\nM5VSi4AOwFVABrBAKTUNWOK1VJVfpaVVrVzc1mOVyVmjiaOhv1DTx1VW1gLtY1W0mHLUO4PGGSim\ntnY4v69CJVDB1sI7D2NB4XcxqsEzlFLfaa2fj6gEQgjRSrTWXxD8B95B4JI2Ko4QwkKiXgtPa/0o\n8CiAUuoyYGA4yZP3Wnje28zIrOX2R2JJPFaJQwghrKhFa+E1OTasTuTea+F5bzMbq1RbgsSSiKwS\nhxCJwIrrxlkxJrNp0Vp4Xsc9F8tCCSGEELFixSTDijGZTcLMRD5q1GDPvFBCCCGEEIksYRIoIYQQ\nQgizkARKCCGEpVlx3TgrxmQ2shaeEEIIS7NifyErxmQ2CVcDJX2hhBBCCJHoWrSYsHtKg+sBB/AN\nMNs9ck8IIYQQwrKiXkxYKZUO/BGYorWeiLEI52mxLJzURgkhhGgpK/YXsmJMZtOSxYRrgPFa6xqv\nc1XHvohCCCFE9KzYX8iKMZlNqBoov4sJgzHJptZ6D4BS6jogU2v9YesUUwghhBAicbRkMeGGPlL3\nAf2Ac8O5YKC18IJty8vLorCwEIAtW7aEc5k2YaW1yiSWxGOVOISIpetu+RO19e1icq59Bw5ATqeY\nnCvWHK4UHn7ynzE739hhAxg/dlTMzidasJiw2+MYTXlnh9t5PNBaeMG2ed/u1as3AOvWfRvO5VqN\nldYqk1gSj1XiECLWdpXZqM3sE9FjRmd/CcDn5cN9d+TEqlSxZ88dwFf7Au8PGFMA7b7bKAlUjEW9\nmDDwOXA58CnwkVIK4GGt9RutVVghhBAiUuEmGWZixZjMpqWLCdtjXiIhhBBCiARn6pnIm05xEO9m\nPSGEEEIcHkydQLWEv+SrYZskYkIIYR2R9hcyAyvGZDaWS6CCJUbe28I5hyRSQghhflZMMqwYk9lY\nLoGKNe9kShIrIaxHKdUdeADYD2zQWi+Oc5GEECbQ0rXwTgdux1gL7xmt9VOtWNaEMWrUYJKSbKxd\n+028iyKEaLmZGCOIVyml3lFKPaG1dsS7UFbxtxf+xadf7Y7Z+ZztCmT0UhRWbtjDF7f9JSbnqqso\n5pmH/xiTc5lZqBooz1p4SqlxGGvhnQWglEoBFgCjgSpguVLq31rrktYscKKRWikhTK8A2O6+XYox\nO5DfGXi+3RC7v/OOubmkp6fH5Fzf6Y18+8PmoMdkZqRRWVUb1vlqauuwJ8UmTflx01ZsHcfG5FwQ\n3dBvK/YXijSmpI6DqIvRtR2H4InnXwYie18FMuKoAQwfelQsikZ9fT3V1VURP85ur6O0NLK591qy\nFt6RwEatdRmAUmoZMBl4NaISWIQkUkKY1jagJ1AEdMRIovw6/rgJtkD7ROJ6Ox7XXHBW656/Vc8e\n2vtxvn4iCJVA+V0Lz72cSzZQ5rXvICHmdd2xYxmjRmWyc+cyn+2htkXzmFhva77fFuQxRQB069Yd\nM0hKAqczM97FCKnheW3QrVv3Zs+1WWIJxSxxeD//wV6fBPcUsEApNQ1Y4r1clRBCBBL015RS6kFg\nldb6Fff97Vrrnu7bQ4A/aa1Pdd9fACzTWr8W6Hy9e7vCWu7lcLFjxw6f+z169Ih4WzSPCbUtnDLH\nswyRCHbu1ix/qHP7K0MstObrE20Zt261Sa2NEMJyQiVQ5wCna62nu9fCu90rYUoBNgDjgEpghfvY\nXYHO53K5XFZZ36st1yoLNWdVsOZDf8c1PU8sO8SHul5ri/Z1SbR5wWLx/grntQ+0LZYxd+mSLQmU\nEMJyQiVQNhpH4QFMB0YB7bXWTyqlTgN+DyQBT2ut/xrsfJJAJSaJJfG0RQLVViSBEkJYUZt+sEkC\nlZgklsRjlThAEighhDUlxbsAQgghhBBmIzORCyGExSmlLgNGa62vU0q1Bx4D9gJlWus74lu68Fhh\nxnilVD/gX1rrkUqpm4DeGKPXb9Ra741v6cKjlJoAzMIYeV8MVAOFmC+O/sBdGH8HnwNdiPD1aNME\nymaT0ThCCNGWlFLnA/k0ft5fALyttX5JKfWMUqqb1npn/EoYNlPPGK+UygeuACqUUmnAJK31GUqp\nKcAM4N54li8CHYDZWutKpdQHQI3W+kwTxpENzAV2Au8A1ZHGIU14QghhIUqpGUqppQ3/gB+Al70O\nyQca5qvYCXRt6zJGyd+M8aahtS7WWt+KMWq9I9CwakcR0C1uBYuQ1vpdoEopNQ94Adjj3mW2ONYB\ndRhzki4lijikCU8IISxEa/0k8KT3NqVUodfdbUDDpF7dMb4wzCDsGeNNoATo5L7dA/O8BiilsoCF\nGMnTp8DZ7l1mi2MEsFVrfbJSagmNFUphxyEJlBBCWJ/3JMZLgCeUUscAP2qtY7fSb+uyyozxLq11\nvbuGcBFGk9hV8S5UBBYC/TCmNfoVYNY4kjH+DnYAG4Eik8YhhBBCCCGEEEIIIYQQQgghhDC0ybQC\nSqkkGpeEqQWu1Fr/1BbXjgX3un/PYMwRkQbcDXwHPAs4gW+Ba7TWplksWSnVBVgHnIARw7OYLBal\n1K3A6UAK8BdgOeaMIwmjf4fCKPsMoB4TxaKUGoexuPhx7rlunqVJ2ZVSMzCGojuAu7XW78StwEII\n0UJtNY3BWUCq1noCxrwLD7bRdWPlEmCP1noy8HNgEUYM89zbbMCZcSxfRNwJ4eMYw2ltwAJMFot7\nro7x7vfUFOAIzPuanARkaq0nYkzsNh8TxaKUuhlj1Feae1Oz95NSqgC4DpgAnAzcq5RKjUd5hRAi\nFtoqgToGeB9Aa70aGN1G142VVzAWTQbjOasDRmqtP3Vvew84MR4Fi9L9wF+BXe77ZozlJOAbpdQb\nwFvAv4FRJowDjJl8c9yLd+cAhzBXLBuBc2is0fb3fhoDLNda12mty92PGdrsTEIIYRJtlUBlA+Ve\n9+vdzRamoLWu1FpXuOe/eAX4Hb7PXQUmmdTNPQR4j9b6P+5NNnybcs0SSx4wCjgPY8jpPzFnHGA0\nPbYDvseoGXwEE8WitX4No1mugXfZD2KUPRso87NdCCFMqa2SmHIgy/u6ZpvDQynVE/gIeF5r/SJG\n/44GWcCBuBQsctOBn7lnKB4OPIeRjDQwSyx7gf9orR1aaw3U4PuFbJY4AG7GqJ0ZgPGaPI/Rr6uB\nmWIB37+NbIyyN/0MyMLcEyEKIQ5zbZVALQdOAVBKHQ183UbXjQn3Gkb/AW7WWj/r3rxeKXWs+/ZU\njBlZE57W+lit9RSt9XHAlxgTob1vwliWYfRHQynVDcgA/mvCOAAyaayhLcWY4M2U7y83f2VfA0xS\nSqUppXKAIzE6mAshhCm11Uzkr2PUeix335/eRteNlXkYtRu/V0o19IW6HnjE3RH2f8Cr8SpcC7mA\n3wBPmikWrfU7SqnJSqk1GD8EZgNbMFkcbvcDf1NKfYZR83QrxghJs8XSMEqw2fvJPQrvEeAzjNdr\nnsbSmKAAACAASURBVNb6UJzKKYQQLRbxNAZKqf4YI4X2Ap8DXTCG9+cAN2qt98a0hEIIIYQQCSaa\nGqhsjKkIdgLvANVa6zPdw8pnAPcGemBdncNVWloVTTkTTm5uBhJL4rFKLFaJA6BLl+w2mW9OCCHa\nUsR9oLTW6zCG8b8NLAX2uHcVAd2CPTY52R7p5RKWxJKYrBKLVeIQQgirirgGSik1AtiqtT5ZKbWE\nxiSsB0YSFVReXlaoQ0xDYklMVonFKnEIIYQVRdOElww8oZTagTEZXpFSahHQAWM+nqD27DkYxSUT\nT15elsSSgKwSi1XiEEIIq4o4gdJar8WYvFAIIYQQ4rDUVtMYCCFEqwo1Qhhjrb4HgP3ABq31YqXU\nTcgoYiFEFEyznIoQQoTQMEJ4DsYC4BO11tcCT2OMEJ4JPKy1vgY4VSnVHpjU5BghhAiLJFBCCEsI\nMkJ4B8YI4QJgu3tbKZALlLjvhxxFLIQQ3qQJz8vu3bspKCiIdzGExbhcLmw2mQqptQUZIdwTY966\nJPftIqCje1sn9zFhjSKuq3O4ZIoJEY6Gv3mXyxXiSJHIbEE+vC2VQDkcDl544TmcTifTpweujV+x\nYhlvvLGE++57yGf7/Pl/4JFHHmvtYorDyIKXv+RARS13XTEu3kU5HIQaIZwBLFBKTQOWaK3rlVJL\nIxlFbObJTa0ystNscQQqq9niCORwjiNhEqh3332LZcs+5Ygj+rJly2aUGsC2bVuZOHEy1dXVAEyd\nehrz59/J5ZfPpKCga7NzLFnyMg6HI+iv/ZUrl1FSspvqat8Pwm3btrBzZxFvv/0mX321HoChQ4ez\nd+8eKisrKS7ezYknnsTEicfy6KMLyMrKYPPmrdxyy+289tq/KC0tpaLiIKeeegYjRoyK4TMjzOzb\nzfvjXYTDRhgjhA9i9I3yfswjrVooIYRlJUwfKJvNxujRY7nyyqs4cKCUiy66lMsuu4JVq1aEfY4L\nL7yEkSNHBz1m/PiJnHVW88/YXr0K6dq1G6eddiY2m40LLriY008/i1GjxjBhwkT69evP8uWfsX79\nOjp3zmPu3LlcffWv2bJlE8uWfUJ6ejodOuSyevXKiGMXhu0lFaz/cU/oA4UQohUtXryAxYsXHLbX\nF+FJmBoogPT0dMBIplJSUrDZbDidTux2OzU1NQCUlR0gijWQw+Jdc5WVlU1tbQ2PP76IadOuYNCg\noygq2kFd3SGSkoy8s6qqkvT0DPLzC5g16xr279/HN9981SplOxzc8cwaAJ64aQrJ9oTJ7YUQh5nZ\ns+cc1tcX4YlmKZcJwCyM6vBioBoopBXnURk6dAT33nsXW7Zsory8HAjeKS+cDrv+jiks7MPTTz/u\nuW+3J5OZmcmaNaux2+1UVlYwZszRfPzxR9xzzz3s3r2HOXNuoVu37tx//3zKysq49NLpEccnfNU5\nnJJACSGESGgRV+UopU4BPtFaVyqlPgBqtNZnKqWmAOO11vcGeqzL5XLForPZTz9tZNmyT3y2DR8+\nkmHDRnjuV1ZW8OqrL/scU1DQlZNPPqXF1wfrdJyDxInl8j99BMCjN0wis11KVOdIlFgaNMT0zNzj\nI3pcosXREl26ZFtmCGJJSblph1RZ5T1llji6dMkGoKSk3O9+s8QRitXjCPb5Fc1SLu8qpWxKqXnA\nC8Bk9642m0elb99+9O3bL+gxmZntueyyK9qiOCLGZNSvECKeGvofxaspLd7XF+GJpgkvC1iIkTx9\nCpzt3hXWPCpWWmFeYmkdubmZdMhKi/rxiRRLg06d2pOUFFlFTCLGIcThIN6JS7yvL8ITTSfyhUA/\nYDrwKyCieVSsUNUH1qm2hMSLZe/eg9TVHIrqsYkWS4PikvKI+nUlahxCCCEM0TThSbuYaFVOCzbh\nOZ0ukAmshRDCMmSok0g4H32xI95FiDmndOwSwjTiPQ9TvK8vwpNQ80CJw0udw4nNBsn2JJ8E452V\nWzl2WDc6d0iPY+liy+mMdwmEEOGKdx+keF9fhEcSKBE3Vz3wMe3S7Cy68VhqD9X77Ktuct/spAZK\niMPDsy+8wqdf7/Lcv/wW/6sFpdTv5/EH/tBGpRKtQRKoAPaWVfPBmu1ccFxfUmT19VbhAqprjUSp\naX5htRXMnVbs2CWEaKbO6YLcwY0bvG97Sa76vo1KJFqLJFAB/PmFL9hXXkvnnHacPLZXvItjeVU1\ndT73rZA/eSeBUgMlhHnEex6meF9fhEc6kQewr7wWgEN11mpKSkQff1nEzY/5LsLsCrFcTyIqPViL\no76xs5N30tSSGiiXy0XRngrTJGGffb2TNd8Vx7sYlvLJJ0u5887fhXXsjh3bueyyX/jdd955p1NX\n5/tjZfXqlfz7368HvfbevTFfoSuhzZ49J67JS7yvL8Jj2RqomkMOXC5IT0umutaBo95JVkZqxOep\nj+CLz+VyhbUOX4Nd+ypZ/Pq3XH/e0Ig6TP+44wD7yms4elBB2I9JZM+//0OzbVt3H6SwIDsm5y8u\nraKmtp7eBS2bmNLlcvHKxz8xrG8nBvTK9dlXVnmI3yxaTr/uOcy7dBTg23E80gRq3ffFrPiyiG6d\nM3n2PaOq/4xjCjlr0hGemi3v91pFdR07SipISU4iKyOFLrkZQc/vqHeSZLP5ndyzaE8FFdV1zWIM\n19/eNco79sj8qB4vfC1c+ABr166if/8BIY99//13ePXVlzlw4IDf/TabrVnz+Lhx44Oe89VXX6JP\nnz5A57DLLMThIGESqDufXUvHrDSuO3do2I/5YVspvfKzSE8zwvBOYGYv+BQw1iC7/pFlOOqdPHTd\nRBa9/g098trTKTuNU8cX+pxv175K/r+9O4+PqjofP/6ZJCSQkAQCAQIBwvYACsgqgixSbV0QRetS\nl7oh4Naq/Ioo1i7WorWW4gJaFutav1VpaYtotYoLiLK5IKhHwLAGwhISCCRk+/1xZyYzyWRmkkzm\nzkye9+vFi5k7Z+45Z2Yy95lzzz3Pov9s4afn9sWBNUfH13HvnXW7eGf9Lh66eSSJLaz5UaVlFdz9\n5Cp+NKIrk8f29CpfWlbBf9fuZOygzrT1WGF7zosbKC4p555n1vjNlbbnYDHt01qSlGjV9fBLGwEY\n2b8jDoeDNz/ZwXsb9zBn2siQzdcKFAyu2byPVV/mcfcVpzVJ4t/n3/qW8YO7UF5RydbdhUi3NsQF\nCE7f3bCb1NZJVJZXcMap1cHlIy9vpPDYSRbOPKtRbd2Vf4y3Pt3JW5/urPV+HThyAoCtewrd2yr9\nnMLbknuYhPg4pGsbn3X9ZtEntbat//YAE0flcP+iTxjSJ5OrzunDrvxjvLEml693FHD0ePXIQl2f\np32Hj5NfcJx5r31JVrtkfj/1jFplHliy1u8+VN3y8vbyq1/dR8eOndi3L4+zz/4R33+/DWO+ZdSo\nM5k+/XbuuGMa99xzP926dWfZstc5fPgwN900rc59Dhx4GuPGncW//vWPgPWnpaXz1FMLufLKi+ss\n89hjD5OXtxeAOXMe46OP3mfnzh3cdNM0HnhgFsXFxZSWljBt2m2Ul5fz3XeGhx76DQsWLCYhIWIO\nGUrZrsF/DSLSG3jVGDNURGYC3YF04G5jjM/x3l37j9KCSuLjrIPYQy+sp2fnNK46uw879h1lx76j\nzHlxA7OuGcLaLfkcLy3n7GHZPuv/ZkcBj77yGX27tmHWNUPJP3KCe59Zw2Vn9eKCM7q7yy39YJv7\ntMov5q+morKKrbutg9zEUTnWL/E4B3EOBw8+t57SsgpeW7mVuDgHFZVVPiczv/LudwD8cvGn/ObG\n00lumcCu/ccoOVnBv1fn8uEXe/nhiK6cd3o3TpZX8va6XSz76HuWf5xLu/RW3Hh+PzLbtCKzTSuK\n9/lfbXrvwWIeWPwpXdqn8LubR3o99n3eUXp2TuO197cBVqDlOWpTVl7B7gPF9MhKo6qqihWf7GBA\nj3a1RmKOnSijvKLSHVys3LibF982PDL9DK+RjIrK6vdu0X+2ANZI0fa9ReRkpdIn2zsYOFFazm/+\nupaJo3IYd1rD0iRO++P7AJw/shtnDswipVULEhPi3EGzp5ffMe7bmW1a0atLOgCFx0669+UKogqO\nlnKoqITeXdJ9jugcPX6y1ohleUVwo0hvrMllcJ9M0lOqn+8KxI+dKGNL7mGe+ddmoH5BisMBBcdK\nOVhYwjvrd3HVOX343fPrgm4XwOyF1YFZ3qHjfstWVlbVO/3MngPH6lU+FuXl7eXxxxdQUlLC5Zdf\nxLJlb5GUlMRll01i+vTba/wwCfz6nn32D9m4cX1QdY8ePSZgmUmTJjNw4GnMmfNb1q371N2ePXt2\nU1RUyJ/+9CQFBQXs3LmDUaPG0KePMHPm7GYVPNk9B8nu+lVwGvQXISIdgSnAMRFJAsYaYy4SkbOA\nqcDDvp5326PvMXlMDy4a0wOA7XuL2L63iJ/8oI+7zNY9hXz0ZZ77tM7Zw7J5dsXX5HRKZUDPdvxn\n9fdMHJXD5tzDAHy76wgLln3F+m/yAXj9/W2c3q+De39vrNnhvl3zdNz8f25iw7cHALhkbA9KnfOd\njp0oc5fdnW8dEPIOFZOR1pKkFtUjPAcLS1i+JpcrJvTmyLFS9/Yjx07y2sptrFizg+KScs4cYI2G\nlFdUsf/wcR55eWOt1+bLbYdYsSaXGVcO5qW3DWcPy2bvwWIWLbcClT0Hi3np7W+ZMLQ6oHzohfUs\nmTXBff8PL3/G/LvH8eX2Q0h2G+6YZ43C/b8rB/Pp1/tZ9WUeSz/Y7nXQdgWiXTJT+N2Ukaz4ZAev\nOwOyj77M4+IxPUiIj+PdDbt5+R3DOcOzufoc8Xp9P99aHS8vmTXBfZrgs+8OcOBICc+9+Q1jB2Xx\n3e5CumSmkNKyRa3+B/Lmpzt589Od7vtPzxhPXJyDsvJKTpSWk5HmnTuvsPgkH3+Vx1sezwEroO7W\nIdX9us6/exx/+fdm9h0+ziPTrVMZa7/ezzP/2sy1PxJ+MNR3AL/w35vJapfMpDOtz7JnoL30g+0s\n/WC7V/k9B47x5NIv2XfoeK3ZXWXlFcTHxxHncHCyrIJN2w/7rHPPgWL+5hEkfrntYJ3B07a9hfTq\nnO617ZsdBbXKnSgtZ9ueQk7JyagVLN386EoG9WrHnZcNCvrU9PY835nnm5POnbuQnJxCfHwCGRnt\nSE21frD4egntuNq0b9/+AGRktKO0tMS9vUePnlx00aX85jf3U15ezmWX+Z5H1RzYHbjYXb8KToMC\nKGPMfuA+EXkTyADynQ/tAfwONSxb9T3LVn3PoF7t3Nsqaqwy6Dkn5qZH3gNglce6Gqs37fMq7wqe\nXGpOSK6LK3gC+OdH37tv7z5Q7L79xbZD7jYA3H7JQK99uE7p+FJcUm6196t9Ph/3NO+1LwC4f9Gn\nHCoqYdWmvFpl3tu4h/c2eudrXvLG1+7bpWUVbDQHWLDsK3fQBvCnv3/u9ZzKqiocWCMuj77yGWAd\nnAF38ARWcPTGmh1MmdjfPbrzv/W7+djj9fcMngD+szqX/jlt3acZXab8YaX79u+njuTw0VIC8WxL\nTbfO/YCUlgnu17imp/6xyef2/67d5XX/2Ikyvtx2CIAvth4kISHO/Vl76W3DybJKvt5RQPs2Lb2e\n98kWa5J0UmICPbJSa/W3pvn//Mrn9qLjJ7nriVWktEzgybvGsfiNr2t9nj252gqw0Ryos9zvX9jA\nL68bTvv0lqzalMcnm/f7nJi/6D9b3O/h7GuHkZPlPTr55bZDFBafpE3r2smdq6qqWL1pH906tuax\n//ucS8f3JCGu+hTpPz7czrhBWXW2MVYFCjYTE5M4ePAA3bp1x5hvyMzs4Ld8qNXVvu3bt3L8+HEe\nfXQeBw8e5NZbpzB69Bji4uKo1JVglaolFGOy+YArGsrGCqIC8jwQTH/sgxA0Izzm/9P3gTlUDhWV\nBC7k4eMawdmCZdaB2l/QdrNHMOPpv+t9p1DxDNIAjpf6DlrACpC35fk/LXn/ok/9Pu6y4pMdfh+v\nK3iqj1kewfbjr39Z6/FXV271+/z/c57ObShXoFdcUk5mZqrf4KmmD7+oHWR7euiFwKd9PAPgOS9t\n8FlmxlOrmXPrmWSkt6SysoqFyzZZE9bj48g7VP1j44W3vqVTu+pTvss/zmX5x7kB2xAqIjIamA4c\nxfpe6o71HVcJPI313fQYcBjYbIxZEOz0g/qo+xSddfuyy65k7tw/0KFDJzIzM4Ma3XM4HPW6QKXu\nU4O+tzscDrKzu/Hss4tYufJ/VFZWMnWqlRt+wIBBPPTQr/nzn+e7R9OUUsGcgPdDRFYYYy4QkZ8D\nfYE2wC3GGJ9H0AtnLIuO67CVssFFZ+bw79W5djcj5JbPndyo75lgicgFwAfGmGIR+S/W99F6oAK4\nD5gFrDDGfCIibwBXAn/zmH4wyhjjc/qBS35+UdR+h2VmpnLggP8fN9EgHP1ozBykRS++ypo97Vk+\ndzIAF85Y5rNcq+PfMP/B20Jef7jF+ueqQ4e0Or+/GjUCZYy5wPm/77XqlVJBi8XgKZyMMStExCEi\ns4GXgB3GmA9FZCJwJ9ARcJ3DLQDaUo/pB03p/vtnUlTkPX+sdetUHn74sVpln3tuMRs2rKu1ffbs\nX5OVZVsXYordgYvd9avgNJ/LKpQKwoCeGXxVxyTuSJKdmeI1V88Op/fvwNqvgz/l2NREJBWYB7yM\nNfJ0DfAh1im7BGAn0BUrWMoA9lLP6Qdt2yaT0ASpnRYufCbosjNn3t3gejIzY+MUXCT3I6Ue6w1G\ncj/qo7n2I6wB1BDJ5LMaE1/TWydy37XDuDfIid+R5vdTRwY1p8e1lEBugGULGsK1ZpU/T88Yz64D\nx5jzou95LvXVFKebEhPiOFleSUK8g+zM1k3yWgHMunoIf/jbZ17bTu/fgVsuHsAHn++xLYCaf/c4\nvtt9hHmv1Z6L5emuywcxqFd7r4sb/Pn91JE8+Pz6WgmbG+uWiwew9uvg2hAm84DewI3AdUChiMwD\n0oCZWN93c0XkBmCpMaZCRFaKyHyc0w8CVVBQ4H/ph0gW66daIkXx8ZNBl43kfgQr0t+PYDWkH2FN\n5fKLa4dz/0+HMfeOM93bMtu0ooPHKtwXju7u66m1PHbb6Frbnv5/4923/3CL/9V1PZ3Wqx0XnZnj\nvn/GKf5XUPZc0yirXQqzrh7i9XinDO9VoDPSknjg+uFcdU71cg2Tx/aotd+Hp59BYou635Kpk05x\n3z61R4b79h89XosHrh/OqFOt9nft0Nq9PSkxnt5dvC9rv2RsD248v1+d9Tkc3n25+cL+LJk1gcWz\nJjB5bE/GneZ9hVVWu2SyM1Pq3B9ATqdUzhrShWt/JLUe65iRzIwrTuPhaaOYceVgv/upqWZbXPvz\nxdcK27dcPMC5n87cfGH/etUdKq2SEjglJ6PW+1TToF7WitCenyd/stql8PSM8Tx77w/o5vGZ8DRt\n0ik8cP1wendJJ6fGOmG+Xo9+3XwvAGonY8wUY8x4Y8xPjTE3GGPuNMbcZYy5yRhzyBiz3xhzjTHm\nFmPMEudznjDG3O7cHv1HARUSCxbMdc9Dao71q+CEdQQqLSXRvbihy63OA9fvppzOxu8OcuGo7iz/\n2PfVV706p7Ftb/U8gdN6teMLj6v5klrEM+rUTuzKP0pmjdQoyUkJZLZtRed2KazZXH2F2nkju3HF\nhN6cKC13j6hMu+hUfnR6V/7wt8/cv9pvv2SA+1L0mkFC325taZuaRIHz0vw5087wGh1Idi762COr\nepHL9unel8V3yUyhY9tk5kw9g135x+iUkcx9Hose/uIng+nXva17Acsfj+/J1j2F/PzH3mv09MhK\nY+qkUzlneFc6tk12rwVV8zW779qh7oUvJ53Vm4MHj7kXrQS495qh9M62Fpmc+uj7DOzZjtEDrCDF\nVdtPzu7DhCHZvPDfb/k+r4gu7VPId67I7emCM7rTOzudtOREenaufg26dUz1GhFLTIhjQE/rjIqv\nvG+tkuI5Uep7FGV43w58+EUe2R1au9fu6pqZwv7D1ohBhzatyD9ygjnTrJW3r5jQm8NFJfzk7D5e\n6/M4HA5G9OvA4uXWlYc3nt+PsopKzjilExtMPmXllbz0tiGQB64fTmqrFhw+WsqfX/3CvcZYXR5x\nBvwJ8XHM/umwoEaXfji8K6/8z7oK0Nco5JiBWfTr7h3o/Oam02vt+7pz+7pXbp/902FUVlVx7EQZ\nBUWlfPjFXk7v35GlH2x3f76hOk3L7GuH8c76XSS3TOBkWQWjB2aRkZoU9JWWSkUiu+cg2V2/Co5t\nc6DuuHQgCfFx7tQmXTJb0yXT+9fxlT/ozTDJZNWmPMYP7kJqcguvg/x15/Xj0y37eXXlVlKTrcUZ\nPUdprjq7Dzhg3KDO7jQolVVVXDGhF1t2FPDK/77j3BFdAWqlCcnplMb40zrz9rpddMlMwfOCRdea\nOJ4jHPddO5TX39/GUMkE4NSctmzOtRYunO4MEhPi41h8zwQqKivZklu9qOGtkwfQ15nSIyOtJRlp\nVnC1ZNYE1mzeR1l5JafkWCNOM38ymMNHS8nplMbTM6wRt6qqKob0ac/AntVra3kGa55unTyAvYe8\nVyxvkRBfK8WJO8WIw8Gie87ymUalZWIC3Tul8oufDObdDbsZP7gzf371i1rl0lISGdy7dh6t+Jqr\nXHvc9VXf4z8fy3sb97iXDhh3WhYffpFHeutETu2RwS0Xn8rYYd245ldvAjB6QBbrvz3Adef15azB\nXbxWUj9vZDcfr46zbo92jfUYbRw7qDPHS8pqBVCudnhyvf7t27TiiTvHMv2x9wG4dFxPDhw5wUce\n65qNGZjlNQoLMOfWM5n99GqSkxLcy0ZcPqEXXdr7HkGaedUQ8o+ccOfNA7hpYnAjaZ4JkMF67dOS\nE0lLTuSnnfo6t1mPjTq1Ez8e39P9d9s7O53e2bVHzK46p487uFNKqVhkWwDlCjR8+fmPB/Hext38\nYGgXWiTEe+WWGzMwi1Wb8khLSSQhPo7zRnbjlJy27qDD0w+dwZGnOIeD9NZJjDq1E6M88qW1aBFH\nq6R4hvSpbteFo3MoLilj4qgcWreyArRLx/VkaN9MbrvsNHp1rD6YtU9v5T4NBHDr5IF89f0hRvTr\n4DVCFBfnIC4u3usgPaKf74X0HA6He9THpX9Ohs9ydeUQfHj6GcR71J/YIr7eSXrj4/yf6W2VlMCF\no3MA7+CjXVpLDhWVkNXO96m0ozXmCvTM8n3q6t5rhroDOteBu2VivDtZb3yctUbO6f07kuaRPqVT\nu2T3yujB9MPFX869VkkJDO/XgT7Z6e4AYXCfTEYPyHKvMO95Ohi8V6C+cLSVPsgVQD1111ifaWkG\n9m7PU3eNpbyiil8u/pTxgztz/sjap7fbp7fkYGEJ7du0pF/3trz8jqGsvLJep9iCSQXj+dr5+lur\nyfX3opRSsSoir8Ib3Kc9g/v4zvx908T+3HBBP6+DXLeOjb8CIM7h4Km7xnkFO61btWDKxOoRLc+D\n8fmjcvxOOEtumeA3G32rxPC89B3b+g5emorn+/LL64axPa+IAT1qB32AV/LbWycP4DSP1ek9eSbc\nHdgzg97Z6YwdlEW/bm3J3VfEdef6nseVnJRQz8UHLQ6Hgysm9PZaFNLzsdsmW4GyK4CKcziQrm14\n9t4f+EzCXLMJrpG3OIeDZD9pbVyPzfv5mDqDul/fOIL8ghO0T7dGsLIyktmZf8xrNDKQYIKdyWN7\nsGj5Fp9zzXyxI0WJUqFi9zpMdtevghORAVQg/kYIGiPQwbYhB+O69OicyuDedQeKdmrMBOHvPXKh\npbdO8hrRq8nzfaxrFK6mlokJzL52mPv+g1NG1irz6K2j2H/4hNdoVH35O8VXU8nJ6hXRfX1GHNQM\nqBw8Mv0Mv8GTJ3+f95SWLeiRVb2fn/14EB9+sbfOJNwAUyb2d68uf8nYHpxxqv+LJgDOOLUTQ/pk\nuk+FB6Lxk4pmdgcudtevghPWq/BUtfi4OH5+2SCvK/rs5rp6r76n+DzVTNjsT5vU2vnVQqF9eiuv\nqxSbWs05RDU5HNYk9vGDq9/rDm2Tm+Q0V7v0llwyrieJLeoOdM4cWD2KNOnMHrXmv9Ul2OBJKaWa\ng5CMQIlIF2rkmArFflV4XXdeP4ZKpt/5aaHUs46J7tEm0GiLw+FwX2XXXLiuPK11oYBSSsWIUJ3C\nmwY87soxJSILjTGNz/SqwiqpRTzD+oYvM3xSYjz3XjOUdkFMSo5k0Xi66g+3jKo1NyuUTuvdnovO\nzGFE/478q3Y2EqUimt1zkOyuXwUnVAFUJ7xzTKUDh3wVjJUl30H7Eop9+ivz22mjKCktr3fbwv2+\npKYm2fb6ReK+XaZeelqT16FUU7A7cLG7fhWcUAVQNXNMFdRVMBaWfIfYWb4eQtsXz/WvGrvPrhmt\n6r0fO96XoqKSkNcZS58vpZSKRaGaRL4Y+JmIPIOVY8r/rFoVs0b4Wboh1mQ7F36tuaq8Ukqp2BeS\nEShjzH6szOeqmevf3coz51pYM5bNvGowW/cU0q977dx6SqnoZfccJLvrV8GJynWgVOTKbNOKhTPP\nCvrS+GiWmpzod50rpVR0sjtwsbt+FZzYP8qpsGsOwZNSSqnmTY90SimllFL1pAGUUkop5WHBgrnu\neUjNsX4VHJ0DpZRSSnmwew6S3fWr4OgIlFJKKaVUPWkApZRSSilVTxpAKaWUUh7snoNkd/0qOA2a\nAyUi1wPDjTE/E5HWwDPAQaDQGPPrUDZQKaWCISKjgenAUWA/cALIwcrNeTeQBDwGHAY2G2MWiMhM\noLurjDHmoA1NVxHG7jlIdtevglPvESgRuRzoSHXwdQWw3BhzF9BVRDqHsH1KKRWsNsBtxpg7gDHA\nWOftJcBUYBrwuDHmdmCi88dfzTJKKRWUgCNQIjIVuNpj053AWuBe5/2OwEfO23uBLOf/SikVwXTl\nMgAAGh1JREFUNsaYFSLiEJHZwMvAOOdDu4HOQCKwy7mtAGgL5Dvv73GW8att22QSEuJD2u5wysxM\ntbsJIRHJ/UhJTgy6bCT3oz6aaz8CBlDGmEXAIs9tIpLjcXcnkO283QXriyhkDYxk2pfIFCt9iZV+\nhIuIpALzsIKnD4FLnA91xfpRF+e8vQfIcG5r5yyTTYDvLoCCguOhbXQYZWamcuDAUbub0Wjh6Edj\nctEVHz8ZdNm6+hFNufCa8+eqoetAVXncXgosFJEzge+MMfv8PTEWXmiInQ8NaF8iUaz0I8zmAb2B\nG4HrgJUiMh/r1N4tQDIwV0RuAJYaYypEpGYZpWwPXOyuXwWnQQGUMWYHcKvzdgnWl5VSStnGGDMl\nQJGjwDU1nvNE07VIKRXLdBkDpZRSSql60gBKKaWU8mD3Okx216+Co7nwlFJKKQ92z0Gyu34VHB2B\nUkoppZSqJw2glFJKKaXqSQMopZRSyoPdc5Dsrl8FR+dAKaUilogkG2Oid/VKFZXsnoNkd/0qOBpA\nKaUi2e9FBOA1Y8zHdjdGKaVc9BSeUipiGWPuBuYDj4rIGyJyTaDnKKVUOGgApZSKWCLyPDAVmGqM\nmQgMsblJqhmwew6S3fWr4IT1FJ7D4XCEsz6lVNR7CdgBdBWRDGPML+xukIp9ds9Bsrt+FRwdgVJK\nRbLrge3ASmCazW1RSik3nUSulIpkpVSftquysyFKKeVJAyilVCSbCVyB9V11j81tUc2Ea/6RXafS\n7K5fBUcDKKVUJLsaOB2oAIYBN9rbHNUc2B242F2/Co4GUEqpSJZljLnO7kYopVRNGkAppSJZXxG5\nAzgBVBljnrW7QUopBRpAKaUi25N2N0A1P3bPQbK7fhWcsARQItIFeAw4DGw2xiwIR72NJSK9gVeN\nMUNFZCbQHUgH7gaSqNGnmmWMMQdtarqbiIwGpgNHgf1Yv+RziLJ+AIhIH+BB4CCwHuhAFL4nLiLy\nMvBvoBtR2g8R6Q78C/gMyMNqcw6h68twrDlQ/wQ6Ax80TU+UqmZ34GJ3/So44VoHahrwuDHmdmCi\niET8yJeIdASmAMdEJAkYa4y5A1iCtTJyzT619lEmErQBbnO2awzR2w+ANOBeYAZwDTAmWvsiIjOA\nIufdaH5PxmIFTlXAx8C4EPclB9hmjPk/oGcwDRKR3iKy0Xl7iYg8JyJ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oFYzG5sKbBDyA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\nSimllFJKKaWUUkoppZRSSinVPPx/RTCA/DkezeQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1bc413c8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zs4cNG9OXMXLszZtzP0+d63oyrk+kDJ+ltmG8XNuUesyB+LbrbOwtaHJ7vYaH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\n",
"text": [
"<matplotlib.figure.Figure at 0x1c6467b8>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# estimate of probability that effect size\n",
"# is outside region of practical equivalence\n",
"m.outside_rope.trace().mean() # not \"significant\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"0.10340000000000001"
]
}
],
"prompt_number": 5
}
],
"metadata": {}
}
]
}
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