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@fonnesbeck
Last active December 4, 2015 14:32
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"import statsmodels as sm\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"\n",
"sns.set_context('notebook')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"np.random.seed(42)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Data import"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Percent_incident</th>\n",
" <th>Outbreaks</th>\n",
" <th>Moving AGE Case Average</th>\n",
" <th>Moving Outbreak Average</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Year_week</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2012- 49</th>\n",
" <td>51.7241</td>\n",
" <td>1</td>\n",
" <td>25.86205</td>\n",
" <td>0.5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012- 50</th>\n",
" <td>45.0000</td>\n",
" <td>0</td>\n",
" <td>48.36205</td>\n",
" <td>0.5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012- 51</th>\n",
" <td>51.8519</td>\n",
" <td>1</td>\n",
" <td>48.42595</td>\n",
" <td>0.5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012- 52</th>\n",
" <td>31.2500</td>\n",
" <td>0</td>\n",
" <td>41.55095</td>\n",
" <td>0.5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012- 53</th>\n",
" <td>0.0000</td>\n",
" <td>0</td>\n",
" <td>15.62500</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Percent_incident Outbreaks Moving AGE Case Average \\\n",
"Year_week \n",
"2012- 49 51.7241 1 25.86205 \n",
"2012- 50 45.0000 0 48.36205 \n",
"2012- 51 51.8519 1 48.42595 \n",
"2012- 52 31.2500 0 41.55095 \n",
"2012- 53 0.0000 0 15.62500 \n",
"\n",
" Moving Outbreak Average \n",
"Year_week \n",
"2012- 49 0.5 \n",
"2012- 50 0.5 \n",
"2012- 51 0.5 \n",
"2012- 52 0.5 \n",
"2012- 53 0.0 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ts_data = pd.read_excel('Trend study data_DEC2012-2015.xlsx', index_col=0)\n",
"ts_data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot of incidence time series (blue line) and the weekly outbreak records (green dots)."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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7sJvZK/7yE8X1UuXem5B78Aa62KVBZxEKRaWQ+2qkqWgYH5ED/5/l0BOVrWWs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\nFo7zq0MHzE1LN4y2a2EeUb4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DxXJNwWWtmvU4XuD3Dk+B44B73nON5RTEN+j2dEcAeNcN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\nbCNuAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10874e5f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ts_data.Percent_incident.plot(label='incidence')\n",
"ax = ts_data.Outbreaks.plot(secondary_y=True, style='o', label='outbreaks')\n",
"ax.set_yticks(range(3))\n",
"ax.set_ylim(0, 2.5);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Autocorrelation function and partial autocorrelation function for observed incidence. The partial autocorrelation shows the autocorrelation at a particular time lag, controlling for the autocorrelation of other periods.\n",
"\n",
"This shows that there is probably information going back 2 or 3 weeks that can help us inform the prediction of incidence."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10981d860>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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kQhsAYLSOtGMwoQ0ADulIYRJJHWnHYEIbgBFMDMCOFCaR1pbDdA8fPuRzXbS/fgIhtAEY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\nADDE/wdU+syHxpn7TAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10913bc18>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from statsmodels.graphics.tsaplots import acf, pacf\n",
"\n",
"fig, axes = plt.subplots(1, 2)\n",
"a = acf(ts_data.Percent_incident)\n",
"axes[0].bar(range(len(a)), a)\n",
"axes[0].set_ylim(-1,1)\n",
"axes[0].set_title('ACF')\n",
"\n",
"p = pacf(ts_data.Percent_incident)\n",
"axes[1].bar(range(len(p)), p)\n",
"axes[1].set_ylim(-1,1)\n",
"axes[1].set_title('Partial ACF')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This model fits a second order autoregressive model to the incidence time series to check how well current incidence can be predicted from the previous two weeks. That is, we fit the following relationship:\n",
"\n",
"$$\\theta_t = \\mu + \\rho_1 y_{t-1} + \\rho_2 y_{t-2}$$\n",
"\n",
"where the $\\rho_1, \\rho_2$ parameters are the influence of information one week and two weeks prior, respectively, on the current expected incidence ($\\theta_t$).\n",
"\n",
"We then use this value in a normal likelihood to predict the observed value $y_t$:\n",
"\n",
"$$y_t \\sim N(\\theta_t, \\tau$$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"\n",
"y = ts_data.Percent_incident.values\n",
"\n",
"with pm.Model() as ar2:\n",
" \n",
" mu = pm.Normal('mu', 0, 1e-6)\n",
" \n",
" # Autoregressive parameters\n",
" ar = 2\n",
" rho = pm.Normal('rho', 0, 1e-3, shape=ar)\n",
" \n",
" sigma = pm.Uniform('sigma', 0, 100)\n",
" tau = sigma ** -2\n",
" \n",
" # Expected values\n",
" theta = pm.Deterministic('theta', mu + rho[0]*y[:-2] + rho[1]*y[1:-1])\n",
" \n",
" incid = pm.Normal('incid', theta, tau, observed=y[ar:])\n",
" incid_pred = pm.Normal('incid_pred', theta, tau, shape=y[ar:].shape)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Assigned <class 'pymc3.step_methods.nuts.NUTS'> to mu\n",
"Assigned <class 'pymc3.step_methods.nuts.NUTS'> to rho\n",
"Assigned <class 'pymc3.step_methods.nuts.NUTS'> to sigma_interval\n",
"Assigned <class 'pymc3.step_methods.nuts.NUTS'> to incid_pred\n",
" [-----------------100%-----------------] 2000 of 2000 complete in 3.5 sec"
]
}
],
"source": [
"with ar2:\n",
" \n",
" tr = pm.sample(2000)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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T7BFEGc+/fQSvv3cCDE1h4ycWY8M5s6dsHB1FUbhm/Xx8b2szXninE1+6cXWl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\nBAKBMAD+P7qV1XfuhG0mAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x110695e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(tr[1000:], vars=['rho', 'sigma']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Expected incidence"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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EtUJrQ2gNWaBvi6GfViLaTNDjEIxhJwvp1YosCn3b17RtKGMdJD7TnsrX/spw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\nKCqctrYvZgI/pHGi225lnmdJb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IOe5xrb3cRI2bYxwo0ayprDTmOWl7rsUdJEXZJSNc+S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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1109cdef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = ts_data.Percent_incident.plot()\n",
"ax.plot(tr[-100:]['theta'].T, alpha=0.02, color='r');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Predicted incidence, that is, including sampling variation as well as parametric uncertainty."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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3FvxkesJiG48yMe2i3I9ce94QAloZj8pFu6qGfdL+hK5UDlr8ylvG3uqZDMf4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\nZ06eeD4XbC93Pt7Poy0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zwRQ84L73ely4KfiQAn/MmFH+9R8Mgip4Ps1jBPvM628ScEoB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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10da352e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = ts_data.Percent_incident.plot()\n",
"ax.plot(tr[-100:]['incid_pred'].T, alpha=0.02, color='r');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have shown that we can predict current incidence from past incidence, we extend the model by attempting to predict outbreaks based on the predicted incidence.\n",
"\n",
"Specifically, we model the observed number of outbreaks in week $t$ as a negative binomial random variable. The negative binomial is a generalization of the Poisson distribution that can be used to flexibly predict counts.\n",
"\n",
"$$x_t \\sim NB(\\phi_t, \\alpha)$$\n",
"\n",
"where the expected value $\\phi_t$ is a function of the expected incidence that we predicted from past incidence.\n",
"\n",
"$$\\phi_t = \\beta_0 + \\beta_1 \\theta_t$$\n",
"\n",
"For this model, the prediction is based on the previous **three weeks** of incidence, rather than just 2 in the previous model."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"import theano.tensor as tt\n",
"\n",
"y = ts_data.Percent_incident.values\n",
"count = ts_data.Outbreaks\n",
"\n",
"with pm.Model() as ar2_pred:\n",
" \n",
" \n",
" mu = pm.Normal('mu', 0, 1e-6)\n",
" \n",
" # Autoregressive parameters\n",
" ar = 3\n",
" rho = pm.Normal('rho', 0, 1e-3, shape=ar)\n",
" \n",
" # Expected values\n",
" theta = pm.Deterministic('theta', mu + rho[0]*y[:-ar] + rho[1]*y[ar-2:-(ar-1)] \n",
" + rho[2]*y[ar-1:-(ar-2)])\n",
" \n",
" sigma = pm.Uniform('sigma', 0, 100)\n",
" tau = sigma ** -2\n",
" \n",
" incid = pm.Normal('incid', theta, tau, observed=y[ar:])\n",
" \n",
" beta = pm.Normal('beta', 0, 0.01, shape=2)\n",
" \n",
" expected_outbreaks = pm.Deterministic('expected_outbreaks', np.exp(beta[0] + beta[1]*theta))\n",
" # Probability of one or more outbreaks\n",
" pred_prob_outbreak = pm.Deterministic('pred_prob_outbreak', expected_outbreaks>1)\n",
" \n",
" alpha = pm.Exponential('alpha', 0.1, testval=1)\n",
" \n",
" outbreaks = pm.NegativeBinomial('outbreaks', expected_outbreaks, alpha=alpha,\n",
" observed=count[ar:])"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"iterations = 10000\n",
"burn = 5000"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 10000 of 10000 complete in 83.4 sec"
]
}
],
"source": [
"with ar2_pred:\n",
" start = pm.find_MAP()\n",
" trace = pm.sample(iterations, step=pm.NUTS(scaling=start), start=start)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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HNZYwOlvRhIJwTEYoKiGU1ikORiS4HQPLh5LleHFJRVcwjpOdEQAAyzBYMq9i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\n7bfmSX9dxTAMtm/fjrKyMvD5fOzcudMqMDt27Bj27NkDLpeLZcuWIS0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EWloaMjMzsXLl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cYHAW3tCnPiFktcdP/72SiWgtsRVHWeL12//xfKGh12ifSET4Oq/Px8aDQaHDhwACUlJcjOzsae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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x123d70240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace[burn:], vars=['beta', 'alpha']);"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"rho:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" 0.128 0.084 0.001 [-0.038, 0.288]\n",
" 0.157 0.093 0.001 [-0.033, 0.334]\n",
" 0.444 0.086 0.001 [0.269, 0.604]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -0.037 0.074 0.128 0.183 0.291\n",
" -0.028 0.095 0.158 0.219 0.343\n",
" 0.274 0.387 0.445 0.503 0.610\n",
"\n",
"\n",
"beta:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" -2.206 0.402 0.006 [-2.981, -1.423]\n",
" 0.044 0.015 0.000 [0.014, 0.073]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -3.025 -2.468 -2.191 -1.931 -1.455\n",
" 0.014 0.034 0.044 0.054 0.074\n",
"\n"
]
}
],
"source": [
"pm.summary(trace[burn:], vars=['rho', 'beta'])"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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kxDNW2FGkLHewC97WYhM0Y6lLHMaUumEsp5r4VhSgbl4BKfQwZAWvrCEx0MV6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\nFt+yM/MQAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12564def0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = ts_data.Outbreaks.plot(style='bo')\n",
"ax.plot(trace[-100:]['expected_outbreaks'].T, alpha=0.02, color='r');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This plots the posterior probability of 1 or more outbreaks, based on incidence information in the previous 3 weeks. The labels indicate the year and week of times where the probability of 1 or more outbreaks is predicted to be greater than 5%."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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UaOQabeysineOgZ2IbFiyJI0oopmfjuPYqdHYjGOX2CveGQZ2IrJhydhFQTAH9lKu8EaN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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x126789128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"probs = trace[burn:]['pred_prob_outbreak'].mean(0)\n",
"label_mask = probs>0.05\n",
"\n",
"ax = pd.Series(probs, index=ts_data.index[3:]).plot()\n",
"ax.set_ylabel('Probability of 1+ outbreaks')\n",
"ax.set_xlabel('Week')\n",
"ax.set_xticklabels(ts_data.index[2:], rotation=45)\n",
"\n",
"for i,x,y in zip(np.arange(len(probs))[label_mask], ts_data.index[3:][label_mask], probs[label_mask]):\n",
" ax.annotate(str(x), xy=(i,y))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"!gist -u 670e777406a2f2bfb67e \"Norovirus prediction.ipynb\""
]
}
],
"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": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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