Section 2. Model checking.ipynb

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    "## Section 2: Model checking\n",
    "In this section, we will look at two techniques that aim to answer:\n",
    "1. Are the model and parameters estimated a good fit for the underlying data?\n",
    "2. Given two separate models, which is a better fit for the underlying data?\n",
    "\n",
    "----\n",
    "\n",
    "### Model Check I: Posterior predictive check\n",
    "One method of checking model fit is called the posterior predictive check. I find this to be a very intuitive technique. You'll recall in the previous section we estimated the parameter $\\mu$ of a Poisson distribution by collecting 200,000 samples from the posterior distribution of $\\mu$. Each of these samples was considered to be a credible parameter value.\n",
    "\n",
    "The posterior predictive check requires one to generate new data from the predicted model. What does that mean? Well, we have estimated 200,000 credible values of $\\mu$ for the Poisson distribution. That means we can construct 200,000 Poisson distributions with these values and then randomly sample from these distributions. This is formally represented as:\n",
    "\n",
    "$$p(\\tilde{y}|y) = \\int p(\\tilde{y}|\\theta) f(\\theta|y) d\\theta$$\n",
    "\n",
    "Conceptually, if the model is a good fit for the underlying data - then the generated data should resemble the original observed data. PyMC provides a convenient way to sample from the fitted model. You may have noticed a new line in the above model specification: \n",
    "\n",
    "`y_pred = pm.Poisson('y_pred', mu=mu)`\n",
    "\n",
    "This is almost identical to `y_est` except we do not specify the observed data. PyMC considers this to be a stochastic node (as opposed to an observed node) and as the MCMC sampler runs - it also samples data from `y_est`.\n",
    "\n",
    "We then plot `y_pred` below and compare it to the observed data `y_est`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import json\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pymc3 as pm\n",
    "import scipy\n",
    "import scipy.stats as stats\n",
    "import statsmodels.api as sm\n",
    "import theano.tensor as tt\n",
    "\n",
    "from IPython.display import Image\n",
    "\n",
    "%matplotlib inline\n",
    "plt.style.use('bmh')\n",
    "colors = ['#348ABD', '#A60628', '#7A68A6', '#467821', '#D55E00', \n",
    "          '#CC79A7', '#56B4E9', '#009E73', '#F0E442', '#0072B2']\n",
    "\n",
    "messages = pd.read_csv('data/hangout_chat_data.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Applied interval-transform to mu and added transformed mu_interval_ to model.\n",
      " [-----------------100%-----------------] 200000 of 200000 complete in 20.7 sec"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    mu = pm.Uniform('mu', lower=0, upper=100)\n",
    "    y_est = pm.Poisson('y_est', mu=mu, observed=messages['time_delay_seconds'].values)\n",
    "\n",
    "    y_pred = pm.Poisson('y_pred', mu=mu)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step = pm.Metropolis()\n",
    "    trace = pm.sample(200000, step, start=start, progressbar=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
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YA5wLIGkP4ARgd+BjwBWSlLYZB5wWEaOAUZJK+zwNeCUidgF+CFzSl0/GzMzMzJpXv02S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\nsoiIiIhIDiXJIiIiIiI5/j+KkF+GPQFqtQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f323857acd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_lim = 60\n",
    "burnin = 50000\n",
    "\n",
    "y_pred = trace[burnin:].get_values('y_pred')\n",
    "mu_mean = trace[burnin:].get_values('mu').mean()\n",
    "\n",
    "fig = plt.figure(figsize=(10,6))\n",
    "fig.add_subplot(211)\n",
    "\n",
    "_ = plt.hist(y_pred, range=[0, x_lim], bins=x_lim, histtype='stepfilled', color=colors[1])   \n",
    "_ = plt.xlim(1, x_lim)\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Posterior predictive distribution')\n",
    "\n",
    "fig.add_subplot(212)\n",
    "\n",
    "_ = plt.hist(messages['time_delay_seconds'].values, range=[0, x_lim], bins=x_lim, histtype='stepfilled')\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Distribution of observed data')\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing the right distribution\n",
    "I'm not particularly happy with the above plot. Ideally, I'd like the posterior predictive distribution to somewhat resemble the distribution of the observed data. Intuitively, if we have correctly estimated the parameters of the model, then we should be able to sample similar data from that model. Clearly this is not the case.\n",
    "\n",
    "Perhaps the Poisson distribution is not suitable for this data. One alternative option we have is the Negative Binomial distribution. This has very similar characteristics to the Poisson distribution except that it has two parameters ($\\mu$ and $\\alpha$) which enables it to vary its variance independently of its mean. Recall that the Poisson distribution has one parameter ($\\mu$) that represents both its mean and its variance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rQIXtEZH1iXsHANMjYlZ6vtHAUGBaUZ2hpPOcI2K8pJ6S+kTEfEn9gSOBC4Ez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\n55xzzjnnUvx/XcFKLr1t7g0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31ef5653d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,5))\n",
    "fig.add_subplot(211)\n",
    "x_lim = 70\n",
    "mu = [15, 40]\n",
    "for i in np.arange(x_lim):\n",
    "    plt.bar(i, stats.poisson.pmf(mu[0], i), color=colors[3])\n",
    "    plt.bar(i, stats.poisson.pmf(mu[1], i), color=colors[4])\n",
    "    \n",
    "_ = plt.xlim(1, x_lim)\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Probability mass')\n",
    "_ = plt.title('Poisson distribution')\n",
    "_ = plt.legend(['$\\lambda$ = %s' % mu[0],\n",
    "                '$\\lambda$ = %s' % mu[1]])\n",
    "\n",
    "# Scipy takes parameters n & p, not mu & alpha\n",
    "def get_n(mu, alpha):\n",
    "    return 1. / alpha * mu\n",
    "\n",
    "def get_p(mu, alpha):\n",
    "    return get_n(mu, alpha) / (get_n(mu, alpha) + mu)\n",
    "\n",
    "fig.add_subplot(212)\n",
    "\n",
    "a = [2, 4]\n",
    "\n",
    "for i in np.arange(x_lim):\n",
    "    plt.bar(i, stats.nbinom.pmf(i, n=get_n(mu[0], a[0]), p=get_p(mu[0], a[0])), color=colors[3])\n",
    "    plt.bar(i, stats.nbinom.pmf(i, n=get_n(mu[1], a[1]), p=get_p(mu[1], a[1])), color=colors[4])\n",
    "\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Probability mass')\n",
    "_ = plt.title('Negative Binomial distribution')\n",
    "_ = plt.legend(['$\\\\mu = %s, \\/ \\\\beta = %s$' % (mu[0], a[0]),\n",
    "                '$\\\\mu = %s, \\/ \\\\beta = %s$' % (mu[1], a[1])])\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets go ahead and estimate the parameters for a Negative Binomial distribution given the same dataset used before. Again, we will use a Uniform distribution to estimate both $\\mu$ and $\\alpha$. The model can be represented as:\n",
    "\n",
    "$$y_{j} \\sim NegBinomial(\\mu, \\alpha)$$\n",
    "$$\\alpha = Exponential(0.2)$$\n",
    "$$\\mu = Uniform(0,100)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bpSvRvwarHIQbdQbLjzuVUepREW0UhzrNw8VnFSRAAiRAAiRAAiRAAiRAAiRAAiRAAuVB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\n5TWcL3+8XK0GRv10nsnd3fGHO+LRbE8idk5+i5qkeabipI+Mz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zbq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\nTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {
      "image/png": {
       "width": 400
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('graphics/Neg Binomial Dag.png', width=400)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Applied log-transform to alpha and added transformed alpha_log_ to model.\n",
      "Applied interval-transform to mu and added transformed mu_interval_ to model.\n",
      " [-----------------100%-----------------] 200000 of 200000 complete in 46.3 sec"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    alpha = pm.Exponential('alpha', lam=.2)\n",
    "    mu = pm.Uniform('mu', lower=0, upper=100)\n",
    "    \n",
    "    y_pred = pm.NegativeBinomial('y_pred', mu=mu, alpha=alpha)\n",
    "    y_est = pm.NegativeBinomial('y_est', mu=mu, alpha=alpha, observed=messages['time_delay_seconds'].values)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step = pm.Metropolis()\n",
    "    trace = pm.sample(200000, step, start=start, progressbar=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yjtg1BBnV8zfiD+7ewe5qz9QDvlga3/rGLgenmrrpc7t5eYQYxODHFd5zM5zE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lAAAg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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31f24e3950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = pm.traceplot(trace[burnin:], varnames=['alpha', 'mu'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see the above model has greater uncertainty around the estimation of the mean response time $(\\mu)$ for chat messages:\n",
    "- Poisson: 17.5 to 18.5\n",
    "- Negative Binomial: 16 to 21\n",
    "\n",
    "Additionally, the Negative Binonomial model has an $\\alpha$ parameter of 1.4 to 2.4 which further increases the variance in the estimated parameter $\\mu$. Let's have a look at the posterior preditive distribution and see if it more closely resembles the distribution from the observed data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EVmTlDmf2dVBmZmZmZrVUyY17Hy1prwAej4jlfRiPNaCUalttg0bNm5oH1TqE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\ncvwvzZdA6lYXjsoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31da8d2e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_lim = 60\n",
    "y_pred = trace[burnin:].get_values('y_pred')\n",
    "\n",
    "fig = plt.figure(figsize=(10,6))\n",
    "fig.add_subplot(211)\n",
    "\n",
    "fig.add_subplot(211)\n",
    "\n",
    "_ = plt.hist(y_pred, range=[0, x_lim], bins=x_lim, histtype='stepfilled', color=colors[1])   \n",
    "_ = plt.xlim(1, x_lim)\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Posterior predictive distribution')\n",
    "\n",
    "fig.add_subplot(212)\n",
    "\n",
    "_ = plt.hist(messages['time_delay_seconds'].values, range=[0, x_lim], bins=x_lim, histtype='stepfilled')\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Distribution of observed data')\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yes, these two distributions are looking more similar to one another. As per the posterior predictive check, this would suggest that the Negative binomial model is a more appropriate fit for the underlying data. \n",
    "\n",
    "If you find yourself doubting the rigor of this model checking approach, Bayesians have other, more analytical methods. \n",
    "\n",
    "### Model Check II: Bayes Factor\n",
    "Another modeling technique is to compute the Bayes factor. This is an analytical method that aims to compare two models with each other.\n",
    "\n",
    "The Bayes factor was typically a difficult metric to compute because it required integrating over the full joint probability distribution. In a low dimension space, integration is possible but once you begin to model in even modest dimensionality, integrating over the full joint posterior distribution becomes computationally costly and time-consuming.\n",
    "\n",
    "There is an alternative and analogous technique for calculating the Bayes factor. It involves taking your two models for comparison and combining them into a hierarchical model with a model parameter index ($\\tau$). This index will switch between the two models throughout the MCMC process depending on which model it finds more credible. As such, the trace of the model index tells us a lot about the credibility of model M1 over model M2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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oBfK/d59WopXnos50iXqHU6XsvV+IRqcOp+HjVDcDlTdF+eUoV0X5cJTtUY7l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\nWA01lecfe+yx9bOzs4vns7+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Bw/6GLxAgQIAAAQIECBBYJQIZDEV4NR1h0XSERRkYHQzF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jPn6xAjnvqguNGhwykC6UhifjqeIqcUFqfEeMyl0EpoDTQHehh6AeI0hyzjsHNmeCpG3qO+ATEi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\ne/2MU5mIAAIIIIAAAggg0NYCzS6MGcPFI8fNBa7PKz5l4RbFo59Opvl1P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BY2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\ngfvVqN9QvE7xaJ4G/rb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5UGe9a0Pq/FXF2tg6BR/7ZzbN/pkGum1YR6DO5hHm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\n3TV2+w3ft2PDSY8TgutsxyR6KkBcf+uTlhSzO9NWrV3fr/fRRs5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X3GiPKY8j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wh4ZfPz84UIjPX+6q/+6n2nTp0ajpFjd0WArC+CY4MpY8PDw9O9vb2LBw8ePD0+Pj79z/7Z\nP/ubeD63a9euhZ6envX/cbhp1SR8AwtcirT9RgTq0qONAAECBAisKLDa+lyqL0UHouK3vvWt0c9+\n9rM/G3Wn3o985CNP7d+/f+IXf/EXvx2P1zVd3YqJ9OFGFFDf2IilIk0ECBAgQIAAgTUKtO2Fs8Zr\nOJwAAQIENqlABLdqO3bsWPzQhz50IqZM7InGnclo8CnOzMw0poGL9cQW45jqnj17ZkZGRhbj87kI\nllXSNIubNMuSTYAAAQIECBBYk0BamzU6Bs3+xE/8xDfK5XLh4YcfPhX1p4WoG617Krc1JcDBBAgQ\nIECAAAECBAjcUIFrhvnf0Cu7GAECBLpUYLU9jLs0+7JFYKMK6MG9UUtGuggQILABBdTnNmChbI4k\nqW9sjnKSSgIECBAgQIDAigLt5zVe8RQfEiBAgAABAgQIECBAgAABAgQIECBAgAABAgQIENh8AgJj\nm6/MpJgAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQGAdAtYYWweaUwgQ2PIC8yHwjdj7trwEAAIb\nRyD9u0y7jQABAgQIrEZAfW41So5ZKqC+sVTEawIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAgZspkLuZF3dtAgQIrFMgrX94W+yDsd8be2/s/n8VCDYCBDaVQD1SuxD7c7HP\nxP5q7JXYbQQIECCwfgH1xPXbOZMAgY0joJ64ccpCSggQIEBgCwqkPypsBAgQ2GgCpUjQ7bHvjv0z\nsY/Eno/dRoAAgc0kUIvETsb++7Gfjv1k7AJjgWAjQIDAdQioJ14HnlMJENgwAuqJG6YoJIQAAQIE\ntqKAwNhWLHV5JrDxBdLosJ7Y00ix/iu7EWMBYSNAYFMJpJ7A5djT/8vS/9P8fywQbAQIELhOAfXE\n6wR0OgECG0JAPXFDFINEECBAgMBWFRAY26olL98ENrZAa4PHQCQ17TYCBAhsRoE0QkxgbDOWnDQT\nILBRBdQTN2rJSBcBAmsVUE9cq5jjCRAgQIDADRIQGLtBkC5DgMANFViMq70Q+/HY52JPjco2AgQI\nbEaBtMbYM7FPx57+32YjQIAAgesTUE+8Pj9nEyCwcQTUEzdOWUgJAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAlmNAgAABAgQIXBX4J/HsM1dfZdnvx/Nf\naXntKQECBAgQIECAwNYUUE/cmuUu1wQIECBAgAABAgQIECBAoKsFnozc1Vv29NpGgAABAgQIECBA\nQD3Rd4AAAQIECBAg0CUC+S7Jh2wQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQWFFAYGxFHh8S\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAh0i4DAWLeUpHwQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAisKCAwtiKPDwkQIECAAAECBAgQIECAAAECBAgQIECAAAECBLpFQGCsW0pSPggQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBFYUEBhbkceHBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC3SIg\nMNYtJSkfBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECKwoIjK3I40MCBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAIFuERAY65aSlA8CBAgQIECAAAECBAgQIECAAAECBAgQIECAAIEVBQTGVuTxIQEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAQLcICIx1S0nKBwECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAwIoCAmMr8viQAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgWwQExrqlJOWDAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIEBgRQGBsRV5fEiAAAECBAgQIECAAAECBAgQIECAAAECBAgQINAtAgJj\n3VKS8kGAAAECBAgQIECAAAECBAgQIECAAAECBAgQILCigMDYijw+JECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQ6BYBgbFuKUn5IECAAAECBAgQIECAAAECBAgQIECAAAECBAgQWFFAYGxFHh8SIECA\nAAECBAgQIECAAAECBAgQIECAAAECBAh0i4DAWLeUpHwQIEBg6wj0RlZ/IfbHt06W5ZQAAQIECBAg\nQGAVAuqJq0ByCAECBAgQIECAAAECBAgQILC5BA5FcutX9twNTvqTLddO90ivbQQIECBAgAABAptD\n4FAkUz1xc5SVVBIgQIAAAQIE3jIBI8beMno3JkCAQNcIfDBy8tXYm40Qh+P5F2L/4diHY7+RWwqE\n/dKVC/5RPKZ72ggQIECAAAECBDamgHrixiwXqSJAgAABAgQIECBAgAABAgTWIbAtzmkGwzo9Hopj\nd67jHktPeSzeaN4rNbTc6O3JuGDz+ukxvbYRIECAAAECBAisTUA9cW1ejiZAgAABAgQIECBAgAAB\nAgQ2uMBaGjtaA00XI1+fjH09UyCmUc6t1yreBKMUCGu9R3ptI0CAAAECBAgQWL2AeuLqrRxJgAAB\nAgQIECDwFgiYSvEtQHdLAgQIbHKBFNS6sM48jMV5/yn2WuyHYl/LVIv/bxzf3P48nlSaLzwSIECA\nAAECBAhsCAH1xA1RDBJBgAABAgQIECBAgAABAgQI3EiBX4mLtY6qut7nh+N6aRRZ7wqJTGuWtd7n\nwRWOvZ6Pnlxyn/TaRoAAAQIECBAgsDoB9cTVOTmKAAECBAgQIECAAAECBAgQ2CQCA5HO1gBVep6C\nVmnkV/rsh2P/w9iXHrPa12mqxUOxp8BXul56TO8tPT/euinbk3HV1nul1zYCBAgQIECAAIHOAuqJ\nnY0cQYAAAQIECBAgQIAAAQIECGwygUOR3tbA0cPLpD9No3N37NcTJGu9T+vzFHy7WVsKhLXeK722\nESBAgAABAgQIdBY4FIe01qPUEzubOYIAAQIECBAgQIAAAQIECBDY4AKtjR0fXGVai3Hc47G3nrve\n54dXec/1HvbkknSm1zYCBAgQIECAAIHOAq31O/XEzl6OIECAAAECBAgQIECAAAECBDa4wL5IX7PB\nI02fuJ4tjfZqNzVi87orPabz0ki0m7k9GRdvTUN6bSNAgAABAgQIEFhZQD1xZR+fEiBAgAABAgQI\nECBAgAABAptQ4FCkuRk0SqPArmfbGSevZXH2/3A9N1vDuQJja8ByKAECBAgQIEDgisCheFRP9HUg\nQIAAAQIECBAgQIAAAQIEukqgOdIrBbRu5LYtLvbJ2FPwq3mPZsPKV+O9g7G/WZvA2Jsl7T4ECBAg\nQIBANwk063Dqid1UqvJCgAABAgQIECBAgAABAgS2sEBv5L0ZrEqBrJu5pekSb/aUiculX2BsORnv\nEyBAgAABAgTaC6gntnfxLgECBAgQIECAwAYVuN6psDZotiSLAAECBG6wwGJc76Oxz8eeegTfzC0F\n4GwECBAgQIAAAQKbQ0A9cXOUk1QSIECAAAECBAhcERAY81UgQIAAgdUIpGDVl1dzoGMIECBAgAAB\nAgS2lIB64pYqbpklQIAAAQIECGx+gfzmz4IcECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEOgs\nIDDW2cgRBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECXSAgMNYFhSgLBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECnQUExjobOYIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKALBATGuqAQZYEA\nAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKCzgMBYZyNHECBAgAABAgQIECBAgAABAgQIECBAgAAB\nAgQIdIGAwFgXFKIsECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIdBYQGOts5AgCBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAIEuEBAY64JClAUCBAgQIECAAAECBAgQIECAAAECBAgQIECAAIHOAgJj\nnY0cQYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg0AUCAmNdUIiyQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAg0FlAYKyzkSMIECBAgAABAgQIECBAgAABAgQIECBAgAABAgS6QEBgrAsKURYIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQ6CwiMdTZyBAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nQBcICIx1QSHKAgECBAgQIECAAAECBAgQIECAAAECBAgQIECAQGcBgbHORo4gQIAAAQIECBAgQIAA\nAQIECBAgQIAAAQIECBDoAgGBsS4oRFkgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDoLCAw1tnI\nEQQIECBAgAABAgQIECBAgAABAgQIECBAgAABAl0gIDDWBYUoCwQIECBAgAABAgQIECBAgAABAgQI\nECBAgAABAp0FBMY6GzmCAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgCwQExrqgEGWBAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECgs4DAWGcjRxAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECHSB\ngMBYFxSiLBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECHQWEBjrbOQIAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgACBLhAQGOuCQpQFAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBzgICY52NHEGA\nAAECBAgQIECAAAECBAgQIECAAAECBAgQINAFAgJjXVCIskCAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQINBZQGCss5EjCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEukBAYKwLClEWCBAgQIAAAQIE\nCBAgQIAAAQIECBAgQIAAAQIEOgsIjHU2cgQBAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAXCAiM\ndUEhygIBAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBnAYGxzkaOIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQ6AIBgbEuKERZIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ6CwgMNbZyBEECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQJdICAw1gWFKAsECBAgQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQKdBQTGOhs5ggABAgQIECBAgAABAgQIECBAgAABAgQIECBAoAsEBMa6oBBlgQABAgQIECBAgAAB\nAgQIECBAgAABAgQIECBAoLOAwFhnI0cQIECAAAECBAgQIECAAAECBAgQIECAAAECBAh0gYDAWBcU\noiwQIECAAAECBAgQIECAAAECBAgQIECAAAECBAh0FhAY62zkCAIECBAgQIAAAQIECBAgQIAAAQIE\nCBAgQIAAgS4QEBjrgkKUBQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgc4CAmOdjRxBgAABAgQI\nECBAgAABAgQIECBAgAABAgQIECDQBQICY11QiLJAgAABAgQIECBAgAABAgQIECBAgAABAgQIECDQ\nWUBgrLORIwgQIECAAAECBAgQIECAAAECBAgQIECAAAECBLpAQGCsCwpRFggQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBDoLCIx1NnIEAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAFwgIjHVBIcoC\nAQIECBAgQIAAAQIECBAgQL462WYAACoySURBVIAAAQIECBAgQIBAZwGBsc5GjiBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIEOgCAYGxLihEWSBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEOgsIDDW\n2cgRBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECXSAgMNYFhSgLBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECnQUExjobOYIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKALBATGuqAQZYEAAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQKCzgMBYZyNHECBAgAABAgQIECBAgAABAgQIECBAgAABAgQI\ndIGAwFgXFKIsECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIdBYQGOts5AgCBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAIEuEBAY64JClAUCBAgQIECAAAECBAgQIECAAAECBAgQIECAAIHOAgJjnY0c\nQYAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg0AUCAmNdUIiyQIAAAQIECBAgQIAAAQIECBAgQIAA\nAQIECBAg0FlAYKyzkSMIECBAgAABAgQIECBAgAABAgQIECBAgAABAgS6QEBgrAsKURYIECBAgAAB\nAgQIECBAgAABAgQIECBAgAABAgQ6CwiMdTZyBAECBAgQIECAAAECBAgQIECAAAECBAgQIECAQBcI\nCIx1QSHKAgECBAgQIECAAAECBAgQIECAAAECBAgQIECAQGcBgbHORo4gQIAAAQIECBAgQIAAAQIE\nCBAgQIAAAQIECBDoAgGBsS4oRFkgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBDoLCAw1tnIEQQI\nECBAgAABAgQIECBAgAABAgQIECBAgAABAl0gIDDWBYUoCwQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAp0FBMY6GzmCAAECBAgQIECAAAECBAgQIECAAAECBAgQIECgCwQExrqgEGWBAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECgs4DAWGcjRxAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECHSBgMBY\nFxSiLBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECHQWEBjrbOQIAgQIECBAgAABAgQIECBAgAAB\nAgQIECBAgACBLhAQGOuCQpQFAgQIECBAgAABAgQIECBAgAABAgQIECBAgACBzgICY52NHEGAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQINAFAgJjXVCIskCAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nINBZQGCss5EjCBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIEukBAYKwLClEWCBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIEOgsIjHU2cgQBAgQIECBAgAABAgQIECBAgAABAgQIECBAgEAXCAiMdUEh\nygIBAgQIECBAgAABAgQIECBAgAABAgQIECBAgEBnAYGxzkaOIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQ6AIBgbEuKERZIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ6CwgMNbZyBEECBAgQIAA\nAQIECBAgQIAAAQIECBAgQIAAAQJdICAw1gWFKAsECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQKd\nBQTGOhs5ggABAgQIECBAgAABAgQIECBAgAABAgQIECBAoAsEBMa6oBBlgQABAgQIECBAgAABAgQI\nECBAgAABAgQIECBAoLOAwFhnI0cQIECAAAECBAgQIECAAAECBAgQIECAAAECBAh0gYDAWBcUoiwQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAh0FhAY62zkCAIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAgS4QEBjrgkKUBQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgc4CAmOdjRxBgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECDQBQICY11QiLJAgAABAgQIECBAgAABAgQIECBAgAABAgQIECDQWUBg\nrLORIwgQIECAAAECBAgQIECAAAECBAgQIECAAAECBLpAQGCsCwpRFggQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBDoLCIx1NnIEAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIBAFwgIjHVBIcoCAQIE\nCBAgQIAAAQIECBAgQIAAAQIECBAgQIBAZwGBsc5GjiBAgAABAgQIECBAgAABAgQIECBAgAABAgQI\nEOgCAYGxLihEWSBAgAABAgQIECBAgAABAgQIECBAgAABAgQIEOgsIDDW2cgRBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECXSAgMNYFhSgLBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECnQUExjob\nOYIAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQKALBIpdkAdZIECAAAECaxEoxMH7lzmhb8n76fWB\nJe81Xx6LJ9XmC48ECBAgQIAAAQKbXkA9cdMXoQwQIECAAAECBAgQIECAAAECSwVSp5BLsdevY0/n\n61wSCDYCBAgQIECAQBcJqCd2UWHKCgECBAgQIEBgOQFTKS4n430CBAgQ6FaBSmTsievMXDo/XcdG\ngAABAgQIECDQPQLqid1TlnJCgAABAgQIEFhWQGBsWRofECBAgEAXC3zpOvN2vedf5+2dToAAAQIE\nCBAgcJMErreed73n36RsuSwBAgQIECBAgAABAgQIECCwlQXSumHXM5XicuuObWVTeSdAgAABAgQI\ndIOAemI3lKI8ECBAgAABAgQIECBAgAABAm8QeC7eWU9wLJ1nI0CAAAECBAgQ6F4B9cTuLVs5I0CA\nAAECBAhkplL0JSBAgACBrSrwp+vM+HrPW+ftnEaAAAECBAgQIPAmC6y3vrfe897k7LkdAQIECBAg\nQGBrCwiMbe3yl3sCBAhsZYH1Nlys97ytbC3vBAgQIECAAIHNJLDe+t56z9tMNtJKgAABAgQIECBA\ngAABAgQIbFKBgUj3fOxrmU4xHZ/OsxEgQIAAAQIECHSvgHpi95atnBEgQIAAAQIETKXoO0CAAAEC\nW1ZgNnL+tTXmPh2fzrMRIECAAAECBAh0r4B6YveWrZwRIECAAAECBATGfAcIECBAYEsLrHW6m7Ue\nv6VxZZ4AAQIECBAgsIkF1lrvW+vxm5hG0gkQIECAAAECBAgQIECAAIHNKvBgJHwtUymm420ECBAg\nQIAAAQLdL6Ce2P1lLIcECBAgQIAAAQIECBAgQGBLCpyIXK8mOJaOsxEgQIAAAQIECGwdAfXErVPW\nckqAAAECBAhsIYH8FsqrrBIgQIAAgXYCq532ZrXHtbuH9wgQIECAAAECBDafwGrrf6s9bvMJSDEB\nAgQIECBAoAsFBMa6sFBliQABAgTWJLDahozVHremmzuYAAECBAgQIEBgwwqstv632uM2bEYljAAB\nAgQIECBAgAABAgQIENg6AuOR1WrsK02nmD5Px9kIECBAgAABAgS2joB64tYpazklQIAAAQIECBAg\nQIAAAQJbSuCvI7crBcbS5zYCBAgQIECAAIGtJ6CeuPXKXI4JECBAgACBLhcwlWKXF7DsESBAgMCq\nBDpNf9Pp81XdxEEECBAgQIAAAQKbTqBTPbDT55suwxJMgAABAgQIECBAgAABAgQIdL/AByOLK40Y\nS5/bCBAgQIAAAQIEtp6AeuLWK3M5JkCAAAECBAgQIECAAAECXS9QjBxeir1dcCy9nz63ESBAgAAB\nAgQIbD0B9cStV+ZyTIAAAQIECHS5gKkUu7yAZY8AAQIEViVQiaP+bJkj0/vpcxsBAgQIECBAgMDW\nE1BP3HplLscECBAgQIBAlwsIjHV5AcseAQIECKxaYLn1IZZ7f9UXdiABAgQIECBAgMCmFliuPrjc\n+5s6sxJPgAABAgQIECBAgAABAgQIbA2BA5HNdlMppvdtBAgQIECAAAECW1dAPXHrlr2cEyBAgAAB\nAgQIECBAgACBrhY4G7lrDY6l1zYCBAgQIECAAAEC6om+AwQIECBAgACBLhEwlWKXFKRsECBAgMAN\nEXhlyVWWvl7ysZcECBAgQIAAAQJbRGBpvXDp6y3CIJsECBAgQIAAgc0vIDC2+ctQDggQIEDgxgnM\nLrnU0tdLPvaSAAECBAgQIEBgiwgsrRcufb1FGGSTAAECBAgQILD5BQTGNn8ZygEBAgQI3DiB341L\nVa5cLj2m1zYCBAgQIECAAAEC6om+AwQIECBAgAABAgQIECBAgEBXCnw5cpXWGUuPNgIECBAgQIAA\nAQJNAfXEpoRHAgQIECBAgMAmFjBibBMXnqQTIECAwE0R+NMrV20+3pSbuCgBAgQIECBAgMCmE2jW\nD5uPmy4DEkyAAAECBAgQIECAAAECBAgQWCrwULyRRoylRxsBAgQIECBAgACBpoB6YlPCIwECBAgQ\nIECAAAECBAgQINBVAt/qqtzIDAECBAgQIECAwI0SUE+8UZKuQ4AAAQIECBAgQIAAAQIECGwYgUc3\nTEokhAABAgQIECBAYCMJPLqREiMtBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQ\nIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECA\nAAECBAgQIECAAIHNK5DbvEmXcgIECBAgsCaB/CqOrscxaV+6pd/Ldr+Zyx2/9HyvCRAgQIAAAQIE\nNq6AeuLGLRspI0CAAAECBAgQIECAAAECBNYh8E/jnGYQq9Nju8uvdM5qGlLaXdN7BAgQIECAAAEC\nb72AeuJbXwZSQIAAAQIECBAgQIAAAQIECNxggTTa6+HYlwtw/Up8ti32YuzttvT+3bG3nn84Xqdz\nbAQIECBAgAABAptXQD1x85adlBMgQIAAAQIECBAgQIAAAQIdBPbF563BrebzDqdd/fjbLecvF0S7\nerAnBAgQIECAAAECm0ZAPXHTFJWEEiBAgAABAgQIECBAgAABAmsR+A9xcDMg1nz84CoukHoTN4//\nwiqOdwgBAgQIECBAgMDmElBP3FzlJbUECBAgQIAAAQIECBAgQIDAKgTS9IfNAFfz8eIqzmudijH1\nKLYRIECAAAECBAh0l4B6YneVp9wQIECAAAECBAgQIECAAAECVwS+Go/NoFjzMa0httLWes5Kx/mM\nAAECBAgQIEBg8wq01vnUEzdvOUo5AQIECBAgQIAAAQIECBAg0CJwMJ43Gzqaj2n9sOW2tJ5Y87hf\nWO4g7xMgQIAAAQIECGx6gYORg2a9r/monrjpi1UGCBAgQIAAAQIECBAgQIAAgcNB0GzsaD6m6XPa\nbZ+MN5vHDLQ7wHsECBAgQIAAAQJdI6Ce2DVFKSMECBAgQIAAAQIECBAgQIBAU+DBeNIMdjUf04Lr\n7bZm48hKvYXbnec9AgQIECBAgACBzSegnrj5ykyKCRAgQIAAAQIECBAgQIAAgVUINANirY+9S85L\nI8Sanz+85DMvCRAgQIAAAQIEulOgWf9rfVRP7M6ylisCBAisJJCWVlj6//+VjvfZ1hRIbUfDWzPr\nck2AAAECBAhsNoEfjgS3Nnak5/90SSbSmmLNY3JLPlvpZaoU7Yw9VaJtBAgQIECAAAECm0tAPXFz\nlZfUEiDQ/QIpOJWWOfjD2C/G3vw7vfUxzfKS/qZPf4tfz5b+jv9g7Ol66fqHYrcRWCqQ2n3Sd/JG\nfU/yca1917Gn5UHSv5O1tF3F4TYCBAgQIEBgKwq0VqKbz1srEc0K9xfWgPMrcWzzWukxNazYCBAg\nQIAAAQIENpdAa32u+Vw9cXOVodQSILD5BdIonBQMa/5/eLWP6W/5B9eQ/RSQeDz2ZpCj9T5LO9Cu\n4bIO7TKB9J1KbT7NtqIb+T05FNdtvd71PD98JZ0pvSngZiNAgAABAgQIXCPweLxaWtl47MoRqZdZ\n87PV9jhLPYaa57Q+XrmkBwIECBAgQIAAgU0i8Hiks7U+l56rJ26SwpNMAgS6QuBQ5GLp/4fT67Q+\neGrwH76yH4zHFLxqd2wKdKW/01faUqeHduc23xMYW0lv63x2s78n6fppxFf6brcL0Da/j62P7QJ0\nrZ83n3/1ynXjwUaAAAECBAgQuNxzpllRaH1MNodiT++lisZqt4NxYOt1ms/TVAw2AgQIECBAgACB\nzSOQelg363KtjykHh658pp6YNGwECBC4sQLLdThNjfud1vv6hTim9f/ZzedpasSVtvT//BSYSDO+\nNM9pPgqMrSS3tT5L35G0HYy9+f1oPt7o78lyIyXTd7yZjnja2NL3d2fsj8feKVj2yTjGRoAAAQIE\nCBC42rDRrMykx1RpblYmHl+DUaqkt16n+XwNl3AoAQIECBAgQIDABhE4FOlo1ueaj+qJG6RwJIMA\nga4UOBi5av7/tvUxBQNWu6VpEVvPbT5fbeCieXzzcbXnrTZ9jtv8Aikw1fx+NB9v9Pfk7jb3SPda\nGhRrp5n+DXx1mfPTNdJnG2VrBvU2SnqkgwABAgQIbBmB5YJZzcpNpx5pS6Eejzea56bHVJmxESBA\ngAABAgQIbD4B9cTNV2ZSTIDA5hXYFklv/Vu6+bw5je1acrbcqLPHV3GRw0vScaMDHqtIgkM2gcDN\n/p4sF+BNgaTVbgfjwOa/o6WPaxn1vtr7ree45rSR6znXOQQIECBAgMB1Cnwhzl9aSUiv19uLJlVU\n1hpQu84sOJ0AAQIECBAgQOAmCKgn3gRUlyRAgEAbgXZ/kx9qc9xq39oZB7a7Znp/pa3ZUN88V2Bs\nJa2t+9nN/p7ciMBYs3TSunzN73PrY8rDW7k1pz59q9PxVhq4NwECBAgQeEsFluuZlhY9tREgQIAA\nAQIECGxdAfXErVv2ck6AwJsn8HjcqrXBvvl8NdPGrZTKdp0bDq90Qnx2swMeHW7v400icLO/Jzcy\nMJZIl1uz7NBb5N06VWSnf5NvURLdlgABAgQIbA2BdvMvX28lfGvIySUBAgQIECBAoLsF1BO7u3zl\njgCBt1YgzbjSDIS1Pt6IkVrLdW54eIUs3+yAxwq39tEmErjZ35MbHRhL7Vut/75anx98k92XTlV9\n+E2+f7aW+Sjf7LS5HwECBAgQeLMFfmbJDf/PeJ0qCjYCBAgQIECAAIGtLaCeuLXLX+4JELi5Av9g\nmct/fpn31/J2WkfpSJsT/kub97xF4HoEnr+ek9+Ec1P71oeWuc+Ty7x/M95OAbr5JReeWPL6pr8s\n3vQ7uAEBAgQIENg8AseXJPV/W/LaSwIECBAgQIAAga0poJ64NctdrgkQeHME/m2b21yK96bavL+e\nt345Tlp6j7F4L40mS4GztW5pjbIPx34g9sHYz8T+5dhfjH2tW1q+4R/Gvjf2lN+XY/9S7M/EXot9\nrWlMQYcHYk8BkNnY03Y+9m/Efja9WOOW0vfx2P+PlvNSmn469l2xH4n9N2Ovx548yrEvt5Xig5Ox\nL7Q5II2OWm5b+hu89Lgbnefm9VvLJr13IvZUNk/Enspm6fa3S9/YgK//ItKU/m2l73/rdjBeDMfe\n6d9cGun16dh/PPb7Ym8GtFJQ8Hdi/0rsldiX21I8qt13JH130meFlhPbfU+aH19vOprX8UiAAAEC\nBAhcEUiVubSvp3LcDjFVmA/FnipqNgIECBAgQIAAgc0roJ64ectOygkQ2LgCqTG++f/X1sdDNzDJ\nKejSeu3m88eXuce3lxzfnNIx/X1/eMlnzWulx9SOsFKAJz6+urWur9R6jdbnh+Po9DoZrWb7hTio\n9fylz1P6UrCn0zYQBzwee/P8wy0nHGp5v/l5erx9mfdbj0nPm5bx9OqW2kuWHtf6eqVZ725Unq8m\nJp4ko9b7t3v+yThm6ffkYLx3I7flvrcreazm/j8cB7XL0+MrnJzKqN16fe2u066M06VTQLXd8cu9\n1+46NyIdKS02AgQIECBAoEUg9U5p/iA/1vL+Wp+mniuPx54qnc3rXW/FJS71/7d3NiGTXFUYzkBA\nHR2jYpRoCKWLKOoYF9kYIyiMuHHEVUREaEEUEqILfzYK0y5cGONC0IXRQEBJUHFjohvdfOomKIYQ\nVyL2iJEQgigZDcbE4Hm1z3A8ufd2VXXV99P9HLhz/84999ynqqeq69TtD4EABCAAAQhAAAIQOCIC\n3CceEXimhQAEdp7AzbZC/94ccz28n0ri/+FxjoPKBDngsTA9+RPHtsqbfM+2YjBNQbBVmquzekv0\nDCI+f5D/d1rK63CfFeDIIkYK9uS5NUZ2JK3AiAJ9eu6heX2emC+tXUGNluRAUMlPHz/Fmt1WzJdW\nyX4rUCg+WmONqcZ0lqaUzMP92vb5kti5rZj7cc5ryPorU1CQ2EV89FmKthSwzLK0hqizqbxIBqby\nI5mlCgEIQAACEIBAvDnVTc8Q0QVawTTdIJQu7tveuAzxBV0IQAACEIAABCAAgWkJcJ84LU+sQQAC\nEHACtR0/nStMkCsgU/qerraStIIfNTu5XdeNkiiIEHVVL0kMNHQlhXWbAmnR3tmkq2cb0Zbrqi2K\nt5dy6daOk+t3wVhpvhtDf6sY2Z+qKE615mz+Xmvw9SjPLF3/fNLzMZ0rTJTPFRiTezGQ6v4rLzHP\nurXnW9GOyjpOWdz+yjqivu8OU7+nPHZKP7Jt6hCAAAQgAIG9JuAX2fsHUtBFO17QS+XajcPAqVCH\nAAQgAAEIQAACEDgCAtwnHgF0poQABPaCwIGtsvQdWj+7NqXEgEucr/RdvaYrXxWs0DMAiR7813ZI\naQ69QJslBphkryaaw/3sKkpRR7o1PQ3365jbVB6DVQrQKYiWd/DlcTouChhFOyrHAJ/KuV9MN4nm\n93GLivKUa45TKDDjcysXh5aUds91rQEj+uYMjNXO8fx5yOeD2NRkaR2R4aKmaO15fg+M1YbM5Udt\nPtohAAEIQAACe0MgXmR18zFU4k3gygbHmwGV883FUPvoQwACEIAABCAAAQgcDQHuE4+GO7NCAAL7\nQSA/IPfv0gqATCm1eUrf1Uu62iVUk3idcP+VLwsDDqzNdTRPSxbWKd3OUkliUO7WkkJoUxDM5415\nULlczDunXF+BKxc9A1laUoCos5RFLxz7OM9LO4jiuHNhTJwr6syx5vy3r3SMNkn+WT+tsds0aGD/\nnIGxHAj0Y5Q/DyW9rOPL0jnodpS3zu/8GdsUGJvLD/edHAIQgAAEILCXBE7Zqv3ivZqAwCLYc7u1\nG4cJpsMEBCAAAQhAAAIQgMBMBLhPnAksZiEAAQisCeQH5HN9hx4yT9Zt/a0rP5ClHURaSw7wZNut\nYJH6ZKOzlEV2nZXy0u60OCbr+9iro9K6vLDc+z0/W9BrNXUFG8vWAOtbrcfUfsUnr2GqNecgXrfB\nT3XH+wNn1GdcD9OXVeYMjOUglq8hP7tamDfe53nWcYezzZV3FPL8OdgUGFuYDZ/f8638qA0u+EoT\nBCAAAQhA4EQT0A2T3+zo4ry0pLeC1P6QJZf3emGLXG9OIRCAAAQgAAEIQAACJ4MA94kn4zjhJQQg\nAIGjIvBwj4lvq+hcW2n35ietUApOqf+SJc39F1WSfCHVX2p1PeOopZofL052VC090/htQa/VdNE6\n/5YULlhdAaWSyO9u3XF7ScHa5liz1vq+NN/FVC9VFZzZB/luWuRdVn8utXn1KS/MkB8XP2ZYGiYh\nAAEIQAAC8xI4MPP+Vkkt1xsrU0h+S0bz8TLKFGSxAQEIQAACEIAABKYnwH3i9EyxCAEIQKAvgbxz\nxL+vT/0desg8WXfTbhZfq7+M62tQrucDUUrPC6SnOWpBozjey3GObcq3uMGQl3wcczzOm83s281h\nnlhcBt3YHsvZ1th6XLPK0Y7uCfpKPk+6vgN76s25Y2xpPsR1e7l2nE+bvl4kqsn11pF5rGrKBd2+\nn7HJ/ND2QwQCEIAABCCwDwSu6rHIm3rooAIBCEAAAhCAAAQgsFsEuE/crePJaiAAgZNF4EFz94aC\ny9dZ28VC+9imPv/Xj7Xt475shbz7KO/Iutt0vuEDQn6HlZU+aukeSy0pBdDuswFnWoMKfdplpmDG\nXPLjguGvW9vbCu0X1m1af0nmWvNH0mTfS/VdrX5g4MJKu8EUKPukJZ23hyXHxY/DWi/zQAACEIAA\nBLYmkN9c8bdhPK+9tTRm4lttkNv1vPbWzRj7jIEABCAAAQhAAAIQmI4A94nTscQSBCAAgaEESt+f\n9T26G2qooa+gin83j/lfK2PydaHvbhZtQon2VS6NLe2kyuPOVXxTswISUV/+TimlYzL2mcad5lj0\nVWX9bGKUG63iOrWNPHOtWeeAz628dLyir7Gcz5Mudk5QnnPHWF631l77POSlKAB7r6XITedr3jG5\nygNDPbMbwt3NbOXH2BPaJyeHAAQgAAEInBQC72w4+gbr+2Wjny4IQAACEIAABCAAgd0lwH3i7h5b\nVgYBCBx/Aj+puPiuSvuY5pdUBn2/0j62+d89ByqA0Lr2yMxPLSl4UNopdY0UToh8qeDn51Pbt9f1\nByx/NvV5dY41KzbyMp9gj3IFGUvr/toGBgpE6dzV38X70Fr3PZbrHP2ZpR+u2+bOJvGDwNjchwn7\nEIAABCBwXAhcMkd0sb7Wki7cSm+1pLbfWUIgAAEIQAACEIAABPaTAPeJ+3ncWTUEIHA8CDxacePt\nlfYxzbWgyg/GGJtojF7OfdUGWzdY/3OWrkx6z6S69EoBtKR2JFXtQno4zfxpq7u/p60s/yW3/y8r\n/jvHmrXjaR+lFpS9pwFjaX0KiPlPhd5lZR1DBcRcdCznlqVNMIkfBMbmPlTYhwAEIACB40bgz+aQ\nLtxKjxw35/AHAhCAAAQgAAEIQODICHCfeGTomRgCENhjAs/a2nPgRDg+PiGTmq1fTDiHTJUCLf9o\nzPGE9Sm48MGGjrpyUKik/qJS4zFp+1jBj3es224LfRdDuU9xjjV/uM/EJ1znWxX/L1ba9bOJF0Lf\nV638iVA/rOKkfhAYO6zDxjwQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCQCdySG9b1rtI+tFk7\nlLLoZ/uezo1b1n0XVDRT+6nIqKOfdNRz+i/GxlRehPpjoezFGGDytj751aZU8rvP2L46vy4ofmfd\ndsc63xQcPKw1H+fddwWMg5v099y6wqj3F9rUtLDkP5uo+kVLn1HhkGVh8x0HPw552UwHAQhAAAIQ\nOFkEbjV39aZYTLyMcrKOId5CAAIQgAAEIACBOQhwnzgHVWxCAAK7QGBli4jfoVW+f4KFnS3YlW39\nnaKa6G97RV8+W1NM7freH8epnJ8FHFjb0lJNTlvHylK2ozaX0jzSHxrgUpBE48674XU+x7WqZHNp\n8/k6889FJpf+y9F1Y77tmvOxlm2dM30kj+36DBqg81rTjWv1cj6n+pqsnTf6ucuSlPRbbPIxXpWM\nrtsyu9ZnbBY/xkJsrIkuCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEBvAu8uaOrvGbUCWIUh\nz2v60fNarrhCfx/pUqF926abkgHNo78RFuUqq3wqNqTyU1Z/naWLqb0Lddn8eah7cchOHgXgfrUe\n+IAbmDG/u2D7wrrtPsv1k5otmWvNfypM6rvZCl3NpmeavUff+ZuKC6+vtJf+Nt/Uuyx96tZPjh6m\nH+4POQQgAAEIQAACIwjkt2T0Vg8vo4wAyRAIQAACEIAABCCwYwS4T9yxA8pyIACBSQl806z5rhjP\nV1vMsCjYk91Nu4yG7GaJ7uVxpaCe6ygw1RL1OwPleVePdu7Efi+fbxld92l3lusvCvpzXau0A9Dn\nVa41Ke8s9ZE51qyfkow+efn6Hg65rud92Pcwe1llyh1jmb37XPsZUzmxsOR6nnfWVpN83uhcr4l/\nDtzuQU3R2heWXM/zztpqMsSPmg3aIQABCEAAAhAYQSBfhHXhJjA2AiRDIAABCEAAAhCAwI4R4D5x\nxw4oy4EABCYnsDKL/vDb89YD9poDClL4+JgrELJJ8kN7/d+9SXIQY1kZ4LZbPx2noTF4Jf9XBXtx\nXbF8p+nWgn8K+ETdgtkr5rpWZUbyIwf8Sv7Etuh7LG+zZj8m0Z7KL4gTp3IpSLfpmCYTG6slXvJr\nyPMl/7nMvDbVN53XCprlcbXP4ssLuhpbk8y8dB7IptY6px81/2iHAAQgAAEIQGAEgbluIke4whAI\nQAACEIAABCAAgWNEgPvEY3QwcAUCEDi2BPJDcz1gX1na9HeofEFLK+QH+qor0NBH8vzaydYSPbyP\n88nXmkTbevBfkxwYWxQUW0EP+aNAjQJhSgouyK/oZ2f1ksx5rfJdYu5Ha8dSybc51qxgqfuTcwXA\nsrR8ELvOkmxuKzebgeyP6qc3GNa5UwsMu73SurLZWmBOu7vOWFLwVbnOM7ebc995J51zllxKO9jE\n1UX+ydbS0px+mHkEAhCAAAQgAIGpCJRuInVjgkAAAhCAAAQgAAEI7DcB7hP3+/izeghAoD8B7QDK\nD9lVP98w0VlfDrxojIJRQ76Tr0w/z720ttIOoi7pamxLYmBMcyiwUJL8s5IlHbVlvex3rd7iqDXk\ncbp+TSGaN9oeclx8/jnWnP2KPqqsOZeWVpZyX6le2gFlQ3uLzrXSuay55MM5SwoYKXWWFERbWlJf\nyR9v0zr67jjLAV+3UctbATKNUb9LjbcCZgq8+Rw6P+b0w/0hhwAEIAABCEBgAgKlmxfdtCAQgAAE\nIAABCEAAAvtNgPvE/T7+rB4CEBhGIP/snz8sV64H6ArWKLUCJWO+i58xm6X/rzWv2jV3aceLgnmb\nJAfGZFPjFOA4bamzlHXU3pJ7rTOy2VTuCsbEemGpNVYBC+3qEZ+xcsoG+hzye6xMseY8d22Hlvsb\nc3GonQM6lmPkahukHXQlu3HuoWWdswpKlQK71tyU1u4490PnhQfbvC3nqzRLn2BX3FE5lx/JLaoQ\ngAAEIAABCAwhoBs7XbD1xkvt5lk3BX6zqzdeEAhAAAIQgAAEIACB3SfAfeLuH2NWCAEIzE9AD8X1\n8D0/bK/V9b1cAQb9H7yNKFjUJ0ihwFx8iN+aUwECJQUqlNfWoPaFpb6iAGDLlvqWlkpM1LZpbO4v\n2TEzvcR3A44NIPkk26zZbeRcQcgDS3m9XlefH2t//qO2s5a2lYUZ8HnG5iuzoXNW55c+N2OCYTbs\n/6SzWskfBXDzulXPuvKlJJ01Zl3VxbPkd01/lB+nbBIEAhCAAAQgAIHtCOhm7tEBJj5nul8ZoI8q\nBCAAAQhAAAIQgMDJJMB94sk8bngNAQgcTwLaZXKdJT18f6OlV1tyedwKD1l60NIlb5wwP2O2rrGk\nB/ZKT1p6zNLQubSG5yy5XGkFreMVljwY8EcrP2FpjCho82ZLr7GkIM9TlhQ4+L2lOK9Vj0wUk3iL\npUcm8mCONYvdmyy90NI/Lel4/8HSs5ZcFDjVsXraG3Y8F2dx+ZclBQUjC6teFp3jV1lS/98tKdjV\nks46X2lJjPvwnMsPmx6BAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwI4R+A9hv77S\n1fs+NwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 9,
     "metadata": {
      "image/png": {
       "width": 540
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('graphics/Bayes Factor DAG.png', width=540)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Applied interval-transform to mu_p and added transformed mu_p_interval_ to model.\n",
      "Applied log-transform to alpha and added transformed alpha_log_ to model.\n",
      "Applied interval-transform to mu_nb and added transformed mu_nb_interval_ to model.\n",
      " [-----------------100%-----------------] 200000 of 200000 complete in 107.7 sec"
     ]
    },
    {
     "data": {
      "image/png": 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XRLy/yBCStiBrYF0TETel4tWSdoyI1ZJ2Ap5K5SvJpuNtNyqVdVeeP+YJSQPT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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31c9be1b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    \n",
    "    # Index to true model\n",
    "    prior_model_prob = 0.5\n",
    "    #tau = pm.DiscreteUniform('tau', lower=0, upper=1)\n",
    "    tau = pm.Bernoulli('tau', prior_model_prob)\n",
    "    \n",
    "    # Poisson parameters\n",
    "    mu_p = pm.Uniform('mu_p', 0, 60)\n",
    "\n",
    "    # Negative Binomial parameters\n",
    "    alpha = pm.Exponential('alpha', lam=0.2)\n",
    "    mu_nb = pm.Uniform('mu_nb', lower=0, upper=60)\n",
    "\n",
    "    y_like = pm.DensityDist('y_like',\n",
    "             lambda value: pm.switch(tau, \n",
    "                 pm.Poisson.dist(mu_p).logp(value),\n",
    "                 pm.NegativeBinomial.dist(mu_nb, alpha).logp(value)\n",
    "             ),\n",
    "             observed=messages['time_delay_seconds'].values)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step1 = pm.Metropolis([mu_p, alpha, mu_nb])\n",
    "    step2 = pm.ElemwiseCategorical(vars=[tau], values=[0,1])\n",
    "    trace = pm.sample(200000, step=[step1, step2], start=start)\n",
    "\n",
    "_ = pm.traceplot(trace[burnin:], varnames=['tau'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can calculate the Bayes Factor for the above two models using the below formulation:\n",
    "\n",
    "$$Posterior Odds = Bayes Factor * Prior Odds$$\n",
    "\n",
    "$$\\frac{P(Data \\ | \\ M_{1})}{P(Data \\ | \\ M_{2})} = B.F. \\times \\frac{P(M_{1})}{P(M_{2})}$$\n",
    "\n",
    "In the above example, we didn't apply prior probability to either model, hence the Bayes Factor is simply the quotient of the model likelihoods. If you find that your MCMC sampler is not traversing between the two models, you can introduce prior probabilities that will help you get sufficient exposure to both models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bayes Factor: 1.61857793761\n"
     ]
    }
   ],
   "source": [
    "# Compute the Bayes factor\n",
    "prob_pois = trace[burnin:]['tau'].mean()\n",
    "prob_nb = 1 - prob_pois\n",
    "BF = (prob_nb/prob_pois)*(prior_model_prob/(1-prior_model_prob))\n",
    "print(\"Bayes Factor: %s\" % BF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A Bayes Factor of >1 suggests that $M_1$ (Negative Binomial) is more strongly supported by the data than $M_2$ (Poisson). Jeffreys' scale of evidence for Bayes factors interprets a BF of 1.60 as there being weak evidence of $M_1$ over $M_2$ given the data. Combining the posterior predictive check and Bayes factor I will conclude that the Negative Binomial is a better model for the given data.\n",
    "\n",
    "| Bayes Factor                            | Interpretation                      |\n",
    "|-----------------------------------------|-------------------------------------|\n",
    "| BF($M_1, M_2$) < 1/10       | Strong evidence for $M_2$   |\n",
    "| 1/10 < BF($M_1, M_2$),< 1/3 | Moderate evidence for $M_2$ |\n",
    "| 1/3 < BF($M_1, M_2$) < 1    | Weak evidence for $M_2$     |\n",
    "| 1 < BF($M_1, M_2$) < 3      | Weak evidence for $M_1$     |\n",
    "| 3 < BF($M_1, M_2$) < 10     | Moderate evidence for $M_1$ |\n",
    "| BF($M_1, M_2$) > 10         | Strong evidence for $M_1$   |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### [>> Go to the Next Section](http://nbviewer.ipython.org/github/markdregan/Bayesian-Modelling-in-Python/blob/master/Section%203.%20Hierarchical%20modelling.ipynb)\n",
    "\n",
    "### References\n",
    "1. Jeffreys' scale of evidence, Humboldt University of Berlin. [Link](http://fedc.wiwi.hu-berlin.de/xplore/ebooks/html/csa/node124.html)\n",
    "2. Model checking and diagnostics, PyMC2 Documentation. [Link](https://pymc-devs.github.io/pymc/modelchecking.html)\n",
    "3. Compute Bayes factor using PyMC3, Chris Fonnesbeck. [GitHub Issue](https://github.com/pymc-devs/pymc3/issues/812)\n",
    "4. [Doing Bayesian Data Analysis](http://www.amazon.com/Doing-Bayesian-Analysis-Second-Edition/dp/0124058884/ref=dp_ob_title_bk) by John Kruschke"
   ]
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