diff --git a/docs/source/examples.rst b/docs/source/examples.rst index a767fc9398..11e8d8ec8d 100644 --- a/docs/source/examples.rst +++ b/docs/source/examples.rst @@ -21,6 +21,7 @@ Applied .. toctree:: notebooks/BEST.ipynb + notebooks/multilevel_modeling.ipynb notebooks/stochastic_volatility.ipynb notebooks/probabilistic-matrix-factorization.ipynb notebooks/rugby_analytics.ipynb diff --git a/docs/source/notebooks/GLM-hierarchical-ADVI.ipynb b/docs/source/notebooks/GLM-hierarchical-ADVI.ipynb deleted file mode 100644 index 59ee0b291c..0000000000 --- a/docs/source/notebooks/GLM-hierarchical-ADVI.ipynb +++ /dev/null @@ -1,408 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# GLM: Hierarchical Linear Regression with ADVI" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "First, we'll load the data: " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import sys, os\n", - "import theano\n", - "theano.config.floatX = 'float64'\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import pymc3 as pm \n", - "import pandas as pd\n", - "\n", - "data = pd.read_csv(pm.get_data('radon.csv'))\n", - "\n", - "county_names = data.county.unique()\n", - "county_idx = data['county_code'].values\n", - "n_counties = len(data.county.unique())" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "with pm.Model() as hierarchical_model:\n", - " # Hyperpriors for group nodes\n", - " mu_a = pm.Normal('mu_alpha', mu=0., sd=100**2)\n", - " sigma_a = pm.Uniform('sigma_alpha', lower=0, upper=100)\n", - " mu_b = pm.Normal('mu_beta', mu=0., sd=100**2)\n", - " sigma_b = pm.Uniform('sigma_beta', lower=0, upper=100)\n", - " \n", - " # Intercept for each county, distributed around group mean mu_a\n", - " # Above we just set mu and sd to a fixed value while here we\n", - " # plug in a common group distribution for all a and b (which are\n", - " # vectors of length n_counties).\n", - " a = pm.Normal('alpha', mu=mu_a, sd=sigma_a, shape=n_counties)\n", - " # Intercept for each county, distributed around group mean mu_a\n", - " b = pm.Normal('beta', mu=mu_b, sd=sigma_b, shape=n_counties)\n", - " \n", - " # Model error\n", - " eps = pm.Uniform('eps', lower=0, upper=100)\n", - " \n", - " # Model prediction of radon level\n", - " # a[county_idx] translates to a[0, 0, 0, 1, 1, ...],\n", - " # we thus link multiple household measures of a county\n", - " # to its coefficients.\n", - " radon_est = a[county_idx] + b[county_idx] * data.floor.values\n", - " \n", - " # Data likelihood\n", - " radon_like = pm.Normal('radon_like', mu=radon_est, sd=eps, observed=data.log_radon)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.5/site-packages/ipykernel/__main__.py:2: DeprecationWarning: Old ADVI interface and sample_vp is deprecated and will be removed in future, use pm.fit and pm.sample_approx instead\n", - " from ipykernel import kernelapp as app\n", - "Average ELBO = -1,117.8: 45%|████▍ | 44977/100000 [00:09<00:11, 4686.75it/s]Median ELBO converged.\n", - "Finished [100%]: Average ELBO = -1,107.1\n", - "\n" - ] - } - ], - "source": [ - "with hierarchical_model:\n", - " means, sds, elbos = pm.variational.advi(n=100000)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/jovyan/pymc3/pymc3/step_methods/hmc/nuts.py:237: UserWarning: Step size tuning was enabled throughout the whole trace. You might want to specify the number of tuning steps.\n", - " warnings.warn('Step size tuning was enabled throughout the whole '\n", - "/opt/conda/lib/python3.5/site-packages/numpy/core/fromnumeric.py:2889: RuntimeWarning: Mean of empty slice.\n", - " out=out, **kwargs)\n" - ] - } - ], - "source": [ - "# Inference button (TM)!\n", - "with hierarchical_model:\n", - " #start = pm.find_MAP()\n", - " step = pm.NUTS(scaling=means)\n", - " hierarchical_trace = pm.sample(5000, step, start=means, progressbar=False)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.5/site-packages/matplotlib/font_manager.py:1297: UserWarning: findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans\n", - " (prop.get_family(), self.defaultFamily[fontext]))\n" - ] - }, - { - "data": { - "image/png": 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Zeb1Vm9zMBJmS9hTVWj42AodwBQAAAJyCXYU1cobZNDbduuut2rRdd8XUwMGFcAUAAAD0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9obpF97nfLCrf1bkAgdmyB+6X7a7r8fPdb2oY/rEIc4xD8PfiJpge+E4zjcd999XLly5QMvfBi5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E8EADufo/jyS5TPvIa0LBCC2KeeJ/YzL2BkMriex5WpPK9eWubGbKcyE/LrPHm0h2eOZ8lE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\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XOFRVKqgS6Q2ciMXHbxrL9LE1/PC5zTyz8j3WbT/Kgx+dwMiBasUSkZ6lswURkW5dXQEv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\nPSQmasALEWmbbCuunE4n3/3udxkyZAiVlZXcdtt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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from scipy import stats\n", - "import seaborn as sns\n", - "varnames = means.keys()\n", - "fig, axs = plt.subplots(nrows=len(varnames), figsize=(12, 18))\n", - "for var, ax in zip(varnames, axs):\n", - " mu_arr = means[var]\n", - " sigma_arr = sds[var]\n", - " ax.set_title(var)\n", - " for i, (mu, sigma) in enumerate(zip(mu_arr.flatten(), sigma_arr.flatten())):\n", - " sd3 = (-4*sigma + mu, 4*sigma + mu)\n", - " x = np.linspace(sd3[0], sd3[1], 300)\n", - " y = stats.norm(mu, sigma).pdf(x)\n", - " ax.plot(x, y)\n", - " if hierarchical_trace[var].ndim > 1:\n", - " t = hierarchical_trace[var][i]\n", - " else:\n", - " t = hierarchical_trace[var]\n", - " sns.distplot(t, kde=False, norm_hist=True, ax=ax)\n", - "fig.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plotting the hierarchical model trace -its found values- from 500 iterations onwards (right side plot) and its accumulated marginal values (left side plot) " - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.5/site-packages/matplotlib/font_manager.py:1297: UserWarning: findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans\n", - " (prop.get_family(), self.defaultFamily[fontext]))\n" - ] - }, - { - "data": { - "image/png": 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AsNX6Zi1mRdjDF2heopt/hT6rPfrP1/4ToZdIiLYHkeM4nO0x+pxCndEGDoBa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At/vk6CWABziBkdfX22OjMcdcwgud85QQAwdrDcfQ7X++y5dXGfjJC+izrb0xLOXwzPGxhFvVLR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\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SZS1OSlKoYziTHFr9nO0btetvKQxK4zwMyjGqdeMMtEP0436gVAi1duWcXOR2wvDi41zr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y6FQgSdzpIEa8Y/ZKyYQ8aKGWScmDNexyras4tEqAgEAoFAGANwOOzYGxEAkLGKBzJWzCDjxJyJ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\nyejzxBNPgMPhoLq6GitWrACXy0VBQUG0ixVTUvQyyNyc3OtVEqQnKpGgkUI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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pm.traceplot(hierarchical_trace[500:]);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The marginal posteriors in the left column are highly informative. `mu_a` tells us the group mean (log) radon levels. `mu_b` tells us that having no basement decreases radon levels significantly (no mass above zero). We can also see by looking at the marginals for `a` that there is quite some differences in radon levels between counties (each 'rainbow' color corresponds to a single county); the different widths are related to how much confidence we have in each paramter estimate -- the more measurements per county, the higher our confidence will be." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Posterior Predictive Check\n", - "\n", - "### The Root Mean Square Deviation\n", - "\n", - "To find out which of the models explains the data better we can calculate the Root Mean Square Deviaton (RMSD). This posterior predictive check revolves around recreating the data based on the parameters found at different moments in the chain. The recreated or predicted values are subsequently compared to the real data points, the model that predicts data points closer to the original data is considered the better one. Thus, the lower the RMSD the better.\n", - "\n", - "When computing the RMSD (code not shown) we get the following result:\n", - "\n", - " * individual/non-hierarchical model: 0.13\n", - " * hierarchical model: 0.08\n", - "\n", - "As can be seen above the hierarchical model performs better than the non-hierarchical model in predicting the radon values. Following this, we'll plot some examples of county's showing the actual radon measurements, the hierarchial predictions and the non-hierarchical predictions. " - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using ADVI...\n", - "Finished [100%]: Average Loss = 22.56\n", - "/home/jovyan/pymc3/pymc3/step_methods/hmc/nuts.py:237: UserWarning: Step size tuning was enabled throughout the whole trace. You might want to specify the number of tuning steps.\n", - " warnings.warn('Step size tuning was enabled throughout the whole '\n", - "/opt/conda/lib/python3.5/site-packages/numpy/core/fromnumeric.py:2889: RuntimeWarning: Mean of empty slice.\n", - " out=out, **kwargs)\n", - "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using ADVI...\n", - "Finished [100%]: Average Loss = 37.849\n", - "/home/jovyan/pymc3/pymc3/step_methods/hmc/nuts.py:237: UserWarning: Step size tuning was enabled throughout the whole trace. You might want to specify the number of tuning steps.\n", - " warnings.warn('Step size tuning was enabled throughout the whole '\n", - "/opt/conda/lib/python3.5/site-packages/numpy/core/fromnumeric.py:2889: RuntimeWarning: Mean of empty slice.\n", - " out=out, **kwargs)\n", - "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using ADVI...\n", - "Convergence archived at 39000\n", - "Interrupted at 39,000 [19%]: Average Loss = 37.975\n" - ] - } - ], - "source": [ - "# Non-hierarchical model runs\n", - "selection = ['CASS', 'CROW WING', 'FREEBORN']\n", - "\n", - "indiv_traces = {}\n", - "for county_name in selection:\n", - " # Select subset of data belonging to county\n", - " c_data = data.ix[data.county == county_name]\n", - " c_log_radon = c_data.log_radon\n", - " c_floor_measure = c_data.floor.values\n", - " \n", - " with pm.Model() as individual_model:\n", - " # Intercept prior (variance == sd**2)\n", - " a = pm.Normal('alpha', mu=0, sd=100**2)\n", - " # Slope prior\n", - " b = pm.Normal('beta', mu=0, sd=100**2)\n", - " \n", - " # Model error prior\n", - " eps = pm.Uniform('eps', lower=0, upper=100)\n", - " \n", - " # Linear model\n", - " radon_est = a + b * c_floor_measure\n", - " \n", - " # Data likelihood\n", - " radon_like = pm.Normal('radon_like', mu=radon_est, sd=eps, observed=c_log_radon)\n", - "\n", - " # Inference button (TM)!\n", - " trace = pm.sample(2000, progressbar=False)\n", - " \n", - " # keep trace for later analysis\n", - " indiv_traces[county_name] = trace" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.5/site-packages/matplotlib/font_manager.py:1297: UserWarning: findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans\n", - " (prop.get_family(), self.defaultFamily[fontext]))\n" - ] - }, - { - "data": { - "image/png": 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az+lMaSlVJc98WxtDJMJgNJK9p6Qktw0nEiEhLlrD04WTyBmndXU46Dij9aYG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BJnhr6QsC6XrBLv7dENhLMCqrAVRAzohkYaN2BsgIM+Le729gx2d9tYrpdIsgxJnCJc0g1EOSmU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\nKG3TIS3jceeH1Cdvx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Bltcs55naNWI2bdDlemE8rKcrKcs6hWXNvLiEYh9SrGNCNie4V0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ehS2RGmJ81kjVtWkuxi4p5eNZzXZ3z2xinP31qjo4Erhwn70wStDV0Vs1jE3H7R0A8Dre1I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\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JJtXi9rVflK1M72V6j+M4sdGCVBSIYYkMCTLtEMUNqtzFG18RQasiQSaWIAyjHTFDQhhn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\nj0/LODY3qZeUkke1oxErYm+9V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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, axis = plt.subplots(1, 3, figsize=(12, 6), sharey=True, sharex=True)\n", - "axis = axis.ravel()\n", - "for i, c in enumerate(selection):\n", - " c_data = data.ix[data.county == c]\n", - " c_ind = np.where(county_names==c)[0][0]\n", - " c_data = c_data.reset_index(drop = True)\n", - " z = list(c_data['county_code'])[0]\n", - "\n", - " xvals = np.linspace(-0.2, 1.2)\n", - " for a_val, b_val in zip(indiv_traces[c]['alpha'][500:], indiv_traces[c]['beta'][500:]):\n", - " axis[i].plot(xvals, a_val + b_val * xvals, 'b', alpha=.1)\n", - " axis[i].plot(xvals, indiv_traces[c]['alpha'][500:].mean() + indiv_traces[c]['beta'][500:].mean() * xvals, \n", - " 'b', alpha=1, lw=2., label='individual')\n", - " for a_val, b_val in zip(hierarchical_trace['alpha'][500:][z], hierarchical_trace['beta'][500:][z]):\n", - " axis[i].plot(xvals, a_val + b_val * xvals, 'g', alpha=.1)\n", - " axis[i].plot(xvals, hierarchical_trace['alpha'][500:][z].mean() + hierarchical_trace['beta'][500:][z].mean() * xvals, \n", - " 'g', alpha=1, lw=2., label='hierarchical')\n", - " axis[i].scatter(c_data.floor + np.random.randn(len(c_data))*0.01, c_data.log_radon, \n", - " alpha=1, color='k', marker='.', s=80, label='original data')\n", - " axis[i].set_xticks([0,1])\n", - " axis[i].set_xticklabels(['basement', 'no basement'])\n", - " axis[i].set_ylim(-1, 4)\n", - " axis[i].set_title(c)\n", - " if not i%3:\n", - " axis[i].legend()\n", - " axis[i].set_ylabel('log radon level')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In the above plot we have the data points in black of three selected counties. The thick lines represent the mean estimate of the regression line of the individual (blue) and hierarchical model (in green). The thinner lines are regression lines of individual samples from the posterior and give us a sense of how variable the estimates are.\n", - "\n", - "When looking at the county 'CASS' we see that the non-hierarchical estimation is strongly biased: as this county's data contains only households with a basement the estimated regression produces the non-sensical result of a giant negative slope meaning that we would expect negative radon levels in a house without basement!\n", - "\n", - "Moreover, in the example county's 'CROW WING' and 'FREEBORN' the non-hierarchical model appears to react more strongly than the hierarchical model to the existance of outliers in the dataset ('CROW WING': no basement upper right. 'FREEBORN': basement upper left). Assuming that there should be a higher amount of radon gas measurable in households with basements opposed to those without, the county 'CROW WING''s non-hierachical model seems off. Having the group-distribution constrain the coefficients we get meaningful estimates in all cases as we apply what we learn from the group to the individuals and vice-versa." - ] - } - ], - "metadata": { - "anaconda-cloud": {}, - "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": "3.5.2" - }, - "latex_envs": { - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 0 - }, - "nav_menu": {}, - "toc": { - "navigate_menu": true, - "number_sections": true, - "sideBar": true, - "threshold": 6, - "toc_cell": false, - "toc_section_display": "block", - "toc_window_display": false - } - }, - "nbformat": 4, - "nbformat_minor": 1 -} diff --git a/docs/source/notebooks/multilevel_modeling.ipynb b/docs/source/notebooks/multilevel_modeling.ipynb new file mode 100644 index 0000000000..28f2814a2a --- /dev/null +++ b/docs/source/notebooks/multilevel_modeling.ipynb @@ -0,0 +1,1817 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# A Primer on Bayesian Methods for Multilevel Modeling" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Hierarchical or multilevel modeling is a generalization of regression modeling.\n", + "\n", + "*Multilevel models* are regression models in which the constituent model parameters are given **probability models**. This implies that model parameters are allowed to **vary by group**.\n", + "\n", + "Observational units are often naturally **clustered**. Clustering induces dependence between observations, despite random sampling of clusters and random sampling within clusters.\n", + "\n", + "A *hierarchical model* is a particular multilevel model where parameters are nested within one another.\n", + "\n", + "Some multilevel structures are not hierarchical. \n", + "\n", + "* e.g. \"country\" and \"year\" are not nested, but may represent separate, but overlapping, clusters of parameters\n", + "\n", + "We will motivate this topic using an environmental epidemiology example." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example: Radon contamination (Gelman and Hill 2006)\n", + "\n", + "Radon is a radioactive gas that enters homes through contact points with the ground. It is a carcinogen that is the primary cause of lung cancer in non-smokers. Radon levels vary greatly from household to household.\n", + "\n", + "![radon](http://www.fix-your-radon.com/images/how_radon_enters.jpg)\n", + "\n", + "The EPA did a study of radon levels in 80,000 houses. Two important predictors:\n", + "\n", + "* measurement in basement or first floor (radon higher in basements)\n", + "* county uranium level (positive correlation with radon levels)\n", + "\n", + "We will focus on modeling radon levels in Minnesota.\n", + "\n", + "The hierarchy in this example is households within county. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data organization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First, we import the data from a local file, and extract Minnesota's data." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "sns.set_context('notebook')\n", + "sns.set_style('white')\n", + "\n", + "from pymc3 import get_data\n", + "\n", + "# Import radon data\n", + "srrs2 = pd.read_csv(get_data('srrs2.dat'))\n", + "srrs2.columns = srrs2.columns.map(str.strip)\n", + "srrs_mn = srrs2[srrs2.state=='MN'].copy()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, obtain the county-level predictor, uranium, by combining two variables." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "srrs_mn['fips'] = srrs_mn.stfips*1000 + srrs_mn.cntyfips\n", + "cty = pd.read_csv(get_data('cty.dat'))\n", + "cty_mn = cty[cty.st=='MN'].copy()\n", + "cty_mn[ 'fips'] = 1000*cty_mn.stfips + cty_mn.ctfips" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Use the `merge` method to combine home- and county-level information in a single DataFrame." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "srrs_mn = srrs_mn.merge(cty_mn[['fips', 'Uppm']], on='fips')\n", + "srrs_mn = srrs_mn.drop_duplicates(subset='idnum')\n", + "u = np.log(srrs_mn.Uppm)\n", + "\n", + "n = len(srrs_mn)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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idnumstatestate2stfipszipregiontypebldgfloorroombasement...stopdtactivitypcterradjwtdupflagzipflagcntyfipscountyfipsUppm
05081MNMN27557355113N...122882.29.71146.499190101AITKIN270010.502054
15082MNMN27557485104Y...120882.214.5471.366223001AITKIN270010.502054
25083MNMN27557485104Y...211882.99.6433.316718001AITKIN270010.502054
35084MNMN27564695104Y...1231871.024.3461.623670001AITKIN270010.502054
45085MNMN27550113104Y...130883.113.8433.316718003ANOKA270030.428565
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5 rows × 27 columns

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" + ], + "text/plain": [ + " idnum state state2 stfips zip region typebldg floor room basement \\\n", + "0 5081 MN MN 27 55735 5 1 1 3 N \n", + "1 5082 MN MN 27 55748 5 1 0 4 Y \n", + "2 5083 MN MN 27 55748 5 1 0 4 Y \n", + "3 5084 MN MN 27 56469 5 1 0 4 Y \n", + "4 5085 MN MN 27 55011 3 1 0 4 Y \n", + "\n", + " ... stopdt activity pcterr adjwt dupflag zipflag cntyfips \\\n", + "0 ... 12288 2.2 9.7 1146.499190 1 0 1 \n", + "1 ... 12088 2.2 14.5 471.366223 0 0 1 \n", + "2 ... 21188 2.9 9.6 433.316718 0 0 1 \n", + "3 ... 123187 1.0 24.3 461.623670 0 0 1 \n", + "4 ... 13088 3.1 13.8 433.316718 0 0 3 \n", + "\n", + " county fips Uppm \n", + "0 AITKIN 27001 0.502054 \n", + "1 AITKIN 27001 0.502054 \n", + "2 AITKIN 27001 0.502054 \n", + "3 AITKIN 27001 0.502054 \n", + "4 ANOKA 27003 0.428565 \n", + "\n", + "[5 rows x 27 columns]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "srrs_mn.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We also need a lookup table (`dict`) for each unique county, for indexing." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "srrs_mn.county = srrs_mn.county.map(str.strip)\n", + "mn_counties = srrs_mn.county.unique()\n", + "counties = len(mn_counties)\n", + "county_lookup = dict(zip(mn_counties, range(len(mn_counties))))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, create local copies of variables." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "county = srrs_mn['county_code'] = srrs_mn.county.replace(county_lookup).values\n", + "radon = srrs_mn.activity\n", + "srrs_mn['log_radon'] = log_radon = np.log(radon + 0.1).values\n", + "floor_measure = srrs_mn.floor.values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Distribution of radon levels in MN (log scale):" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "srrs_mn.activity.apply(lambda x: np.log(x+0.1)).hist(bins=25);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conventional approaches\n", + "\n", + "The two conventional alternatives to modeling radon exposure represent the two extremes of the bias-variance tradeoff:\n", + "\n", + "***Complete pooling***: \n", + "\n", + "Treat all counties the same, and estimate a single radon level.\n", + "\n", + "$$y_i = \\alpha + \\beta x_i + \\epsilon_i$$\n", + "\n", + "***No pooling***:\n", + "\n", + "Model radon in each county independently.\n", + "\n", + "$$y_i = \\alpha_{j[i]} + \\beta x_i + \\epsilon_i$$\n", + "\n", + "where $j = 1,\\ldots,85$\n", + "\n", + "The errors $\\epsilon_i$ may represent measurement error, temporal within-house variation, or variation among houses." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are the point estimates of the slope and intercept for the complete pooling model:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from pymc3 import Model, sample, Normal, HalfCauchy, Uniform\n", + "\n", + "floor = srrs_mn.floor.values\n", + "log_radon = srrs_mn.log_radon.values\n", + "\n", + "with Model() as pooled_model:\n", + " \n", + " beta = Normal('beta', 0, sd=1e5, shape=2)\n", + " sigma = HalfCauchy('sigma', 5)\n", + " \n", + " theta = beta[0] + beta[1]*floor\n", + " \n", + " y = Normal('y', theta, sd=sigma, observed=log_radon)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,121.1: 53%|█████▎ | 26617/50000 [00:03<00:03, 7258.34it/s]\n", + "Convergence archived at 27000\n", + "Interrupted at 27,000 [54%]: Average Loss = 1,201.3\n", + "100%|██████████| 2000/2000 [00:02<00:00, 798.65it/s]\n" + ] + } + ], + "source": [ + "with pooled_model:\n", + " pooled_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "b0, m0 = pooled_trace['beta', 1000:].mean(axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(srrs_mn.floor, np.log(srrs_mn.activity+0.1))\n", + "xvals = np.linspace(-0.2, 1.2)\n", + "plt.plot(xvals, m0*xvals+b0, 'r--');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Estimates of county radon levels for the unpooled model:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with Model() as unpooled_model:\n", + " \n", + " beta0 = Normal('beta0', 0, sd=1e5, shape=counties)\n", + " beta1 = Normal('beta1', 0, sd=1e5)\n", + " sigma = HalfCauchy('sigma', 5)\n", + " \n", + " theta = beta0[county] + beta1*floor\n", + " \n", + " y = Normal('y', theta, sd=sigma, observed=log_radon)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 2,069.3: 100%|██████████| 50000/50000 [00:11<00:00, 4504.30it/s]\n", + "Finished [100%]: Average Loss = 2,069.3\n", + "100%|██████████| 2000/2000 [00:13<00:00, 145.16it/s]\n" + ] + } + ], + "source": [ + "with unpooled_model:\n", + " unpooled_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are the unpooled county expected values" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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G4++cMzjankDcQckL4iss03BaO4PxxzMb7YcjIoFISQMiIuIVShowQEkDIhKI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from pymc3 import forestplot\n", + "\n", + "plt.figure(figsize=(6,14))\n", + "forestplot(unpooled_trace, varnames=['beta0']);" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "unpooled_estimates = pd.Series(unpooled_trace['beta0'].mean(axis=0), index=mn_counties)\n", + "unpooled_se = pd.Series(unpooled_trace['beta0'].std(axis=0), index=mn_counties)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can plot the ordered estimates to identify counties with high radon levels:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/fonnescj/anaconda3/envs/dev/lib/python3.6/site-packages/ipykernel_launcher.py:1: FutureWarning: order is deprecated, use sort_values(...)\n", + " \"\"\"Entry point for launching an IPython kernel.\n" + ] + }, + { + "data": { + "image/png": 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AkLyMCG2pbnOQG/r3aBS7dwEAYMeI7nGp4c1BAABoDIxLPTYHAQA0ViQfAACG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\nSUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "order = unpooled_estimates.order().index\n", + "\n", + "plt.scatter(range(len(unpooled_estimates)), unpooled_estimates[order])\n", + "for i, m, se in zip(range(len(unpooled_estimates)), unpooled_estimates[order], unpooled_se[order]):\n", + " plt.plot([i,i], [m-se, m+se], 'b-')\n", + "plt.xlim(-1,86); plt.ylim(-1,4)\n", + "plt.ylabel('Radon estimate');plt.xlabel('Ordered county');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are visual comparisons between the pooled and unpooled estimates for a subset of counties representing a range of sample sizes." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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nG2UV1WiahovRfiLq6+VGjcWKmyO/IdFqGkzJqKqq4v/+7//Izc3ln//8J++/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\nS5ves2cPF110UZfve95557Fw4UIALrnkEpYvX84tt9zCxo0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Wba4CIC0pmuL23Oei/DQS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\ny8iwmZCXmZrwvU8Ut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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sample_counties = ('LAC QUI PARLE', 'AITKIN', 'KOOCHICHING', \n", + " 'DOUGLAS', 'CLAY', 'STEARNS', 'RAMSEY', 'ST LOUIS')\n", + "\n", + "fig, axes = plt.subplots(2, 4, figsize=(12, 6), sharey=True, sharex=True)\n", + "axes = axes.ravel()\n", + "m = unpooled_trace['beta1'].mean()\n", + "for i,c in enumerate(sample_counties):\n", + " y = srrs_mn.log_radon[srrs_mn.county==c]\n", + " x = srrs_mn.floor[srrs_mn.county==c]\n", + " axes[i].scatter(x + np.random.randn(len(x))*0.01, y, alpha=0.4)\n", + " \n", + " # No pooling model\n", + " b = unpooled_estimates[c]\n", + " \n", + " # Plot both models and data\n", + " xvals = np.linspace(-0.2, 1.2)\n", + " axes[i].plot(xvals, m*xvals+b)\n", + " axes[i].plot(xvals, m0*xvals+b0, 'r--')\n", + " axes[i].set_xticks([0,1])\n", + " axes[i].set_xticklabels(['basement', 'floor'])\n", + " axes[i].set_ylim(-1, 3)\n", + " axes[i].set_title(c)\n", + " if not i%2:\n", + " axes[i].set_ylabel('log radon level')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Neither of these models are satisfactory:\n", + "\n", + "* if we are trying to identify high-radon counties, pooling is useless\n", + "* we do not trust extreme unpooled estimates produced by models using few observations" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Multilevel and hierarchical models\n", + "\n", + "When we pool our data, we imply that they are sampled from the same model. This ignores any variation among sampling units (other than sampling variance):\n", + "\n", + "![pooled](http://f.cl.ly/items/0R1W063h1h0W2M2C0S3M/Screen%20Shot%202013-10-10%20at%208.22.21%20AM.png)\n", + "\n", + "When we analyze data unpooled, we imply that they are sampled independently from separate models. At the opposite extreme from the pooled case, this approach claims that differences between sampling units are to large to combine them:\n", + "\n", + "![unpooled](http://f.cl.ly/items/38020n2t2Y2b1p3t0B0e/Screen%20Shot%202013-10-10%20at%208.23.36%20AM.png)\n", + "\n", + "In a hierarchical model, parameters are viewed as a sample from a population distribution of parameters. Thus, we view them as being neither entirely different or exactly the same. This is ***parital pooling***.\n", + "\n", + "![hierarchical](http://f.cl.ly/items/1B3U223i002y3V2W3r0W/Screen%20Shot%202013-10-10%20at%208.25.05%20AM.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use PyMC to easily specify multilevel models, and fit them using Markov chain Monte Carlo." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Partial pooling model\n", + "\n", + "The simplest partial pooling model for the household radon dataset is one which simply estimates radon levels, without any predictors at any level. A partial pooling model represents a compromise between the pooled and unpooled extremes, approximately a weighted average (based on sample size) of the unpooled county estimates and the pooled estimates.\n", + "\n", + "$$\\hat{\\alpha} \\approx \\frac{(n_j/\\sigma_y^2)\\bar{y}_j + (1/\\sigma_{\\alpha}^2)\\bar{y}}{(n_j/\\sigma_y^2) + (1/\\sigma_{\\alpha}^2)}$$\n", + "\n", + "Estimates for counties with smaller sample sizes will shrink towards the state-wide average.\n", + "\n", + "Estimates for counties with larger sample sizes will be closer to the unpooled county estimates." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "with Model() as partial_pooling:\n", + " \n", + " # Priors\n", + " mu_a = Normal('mu_a', mu=0., sd=1e5)\n", + " sigma_a = HalfCauchy('sigma_a', 5)\n", + " \n", + " # Random intercepts\n", + " a = Normal('a', mu=mu_a, sd=sigma_a, shape=counties)\n", + " \n", + " # Model error\n", + " sigma_y = HalfCauchy('sigma_y',5)\n", + " \n", + " # Expected value\n", + " y_hat = a[county]\n", + " \n", + " # Data likelihood\n", + " y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,115.5: 100%|██████████| 50000/50000 [00:13<00:00, 3590.55it/s]\n", + "Finished [100%]: Average Loss = 1,115.5\n", + "100%|██████████| 2000/2000 [00:07<00:00, 253.79it/s]\n" + ] + } + ], + "source": [ + "with partial_pooling:\n", + " partial_pooling_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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9zowdzTFNaXKSlbtKaCYBL1QLCAzDcHXzxtL0pnJ75TSb7mQX1ddSf6BhFNUn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\nGFaKWiZjBTikWXlvbMzvEQAAACBICHI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sample_trace = partial_pooling_trace['a', 1000:]\n", + "\n", + "fig, axes = plt.subplots(1, 2, figsize=(14,6), sharex=True, sharey=True)\n", + "samples, counties = sample_trace.shape\n", + "jitter = np.random.normal(scale=0.1, size=counties)\n", + "\n", + "n_county = srrs_mn.groupby('county')['idnum'].count()\n", + "unpooled_means = srrs_mn.groupby('county')['log_radon'].mean()\n", + "unpooled_sd = srrs_mn.groupby('county')['log_radon'].std()\n", + "unpooled = pd.DataFrame({'n':n_county, 'm':unpooled_means, 'sd':unpooled_sd})\n", + "unpooled['se'] = unpooled.sd/np.sqrt(unpooled.n)\n", + "\n", + "axes[0].plot(unpooled.n + jitter, unpooled.m, 'b.')\n", + "for j, row in zip(jitter, unpooled.iterrows()):\n", + " name, dat = row\n", + " axes[0].plot([dat.n+j,dat.n+j], [dat.m-dat.se, dat.m+dat.se], 'b-')\n", + "axes[0].set_xscale('log')\n", + "axes[0].hlines(sample_trace.mean(), 0.9, 100, linestyles='--')\n", + "\n", + " \n", + "samples, counties = sample_trace.shape\n", + "means = sample_trace.mean(axis=0)\n", + "sd = sample_trace.std(axis=0)\n", + "axes[1].scatter(n_county.values + jitter, means)\n", + "axes[1].set_xscale('log')\n", + "axes[1].set_xlim(1,100)\n", + "axes[1].set_ylim(0, 3)\n", + "axes[1].hlines(sample_trace.mean(), 0.9, 100, linestyles='--')\n", + "for j,n,m,s in zip(jitter, n_county.values, means, sd):\n", + " axes[1].plot([n+j]*2, [m-s, m+s], 'b-')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice the difference between the unpooled and partially-pooled estimates, particularly at smaller sample sizes. The former are both more extreme and more imprecise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Varying intercept model\n", + "\n", + "This model allows intercepts to vary across county, according to a random effect.\n", + "\n", + "$$y_i = \\alpha_{j[i]} + \\beta x_{i} + \\epsilon_i$$\n", + "\n", + "where\n", + "\n", + "$$\\epsilon_i \\sim N(0, \\sigma_y^2)$$\n", + "\n", + "and the intercept random effect:\n", + "\n", + "$$\\alpha_{j[i]} \\sim N(\\mu_{\\alpha}, \\sigma_{\\alpha}^2)$$\n", + "\n", + "As with the the “no-pooling” model, we set a separate intercept for each county, but rather than fitting separate least squares regression models for each county, multilevel modeling **shares strength** among counties, allowing for more reasonable inference in counties with little data." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with Model() as varying_intercept:\n", + " \n", + " # Priors\n", + " mu_a = Normal('mu_a', mu=0., tau=0.0001)\n", + " sigma_a = HalfCauchy('sigma_a', 5)\n", + " \n", + " \n", + " # Random intercepts\n", + " a = Normal('a', mu=mu_a, sd=sigma_a, shape=counties)\n", + " # Common slope\n", + " b = Normal('b', mu=0., sd=1e5)\n", + " \n", + " # Model error\n", + " sd_y = HalfCauchy('sd_y', 5)\n", + " \n", + " # Expected value\n", + " y_hat = a[county] + b * floor_measure\n", + " \n", + " # Data likelihood\n", + " y_like = Normal('y_like', mu=y_hat, sd=sd_y, observed=log_radon)\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can fit the above model using MCMC." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,077.4: 100%|██████████| 50000/50000 [00:11<00:00, 4206.38it/s]\n", + "Finished [100%]: Average Loss = 1,077.5\n", + "100%|██████████| 2000/2000 [00:06<00:00, 296.67it/s]\n" + ] + } + ], + "source": [ + "with varying_intercept:\n", + " varying_intercept_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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nzx7efPNNqqurmTx5MtOnTzd1epFWoSi4SPMzthD5+vri5+fH2LFj8ff3Z/Lk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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from pymc3 import forestplot, traceplot, plot_posterior\n", + "\n", + "plt.figure(figsize=(6,14))\n", + "forestplot(varying_intercept_trace[1000:], varnames=['a'])" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([,\n", + " ], dtype=object)" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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TpaC6cOECd911Fzt37uSFF17QF7OIiFyWiuTd9PR07HY78+fPZ/78+UXmJyYmArBz506e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\niIi46f8Bh2sFNiG/y/sAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_posterior(varying_intercept_trace[1000:], varnames=['sigma_a', 'b'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The estimate for the `floor` coefficient is approximately -0.66, which can be interpreted as houses without basements having about half ($\\exp(-0.66) = 0.52$) the radon levels of those with basements, after accounting for county." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "b:\n", + "\n", + " Mean SD MC Error 95% HPD interval\n", + " -------------------------------------------------------------------\n", + " \n", + " -0.660 0.068 0.002 [-0.794, -0.532]\n", + "\n", + " Posterior quantiles:\n", + " 2.5 25 50 75 97.5\n", + " |--------------|==============|==============|--------------|\n", + " \n", + " -0.787 -0.706 -0.661 -0.615 -0.525\n", + "\n" + ] + } + ], + "source": [ + "from pymc3 import summary\n", + "\n", + "summary(varying_intercept_trace, varnames=['b'])" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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PPPCAPP7441JfXy/f//735YknnpC8vDzJysqSv/iLv5B69kU85Um+mvjIR0CA4TCi14wM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\nlEzFeYfyL+dAmiz/8lgag1RX07gVFtKkgO1LDx6U4CwIgiAkgVCZo65y1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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xvals = np.arange(2)\n", + "bp = varying_intercept_trace[a, 1000:].mean(axis=0)\n", + "mp = varying_intercept_trace[b, 1000:].mean()\n", + "for bi in bp:\n", + " plt.plot(xvals, mp*xvals + bi, 'bo-', alpha=0.4)\n", + "plt.xlim(-0.1,1.1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is easy to show that the partial pooling model provides more objectively reasonable estimates than either the pooled or unpooled models, at least for counties with small sample sizes." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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L6NChA4qiMGLECGJjY4mKiqJq1aosW7YsVfZ8JNbnK1euzLJly/jhhx+YOXMmJpOJqKgo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zevPY4tbDr77akjVvKaNqYYM8YOppvm5E2bZudAK2Xvuh079pRLK8Vi8BFpnX7cHm0lLzh2fT47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\nrkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(2, 4, figsize=(12, 6), sharey=True, sharex=True)\n", + "axes = axes.ravel()\n", + "for i,c in enumerate(sample_counties):\n", + " \n", + " # Plot county data\n", + " y = srrs_mn.log_radon[srrs_mn.county==c]\n", + " x = srrs_mn.floor[srrs_mn.county==c]\n", + " axes[i].scatter(x + np.random.randn(len(x))*0.01, y, alpha=0.4)\n", + " \n", + " # No pooling model\n", + " m,b = unpooled_estimates[['floor', c]]\n", + " \n", + " xvals = np.linspace(-0.2, 1.2)\n", + " # Unpooled estimate\n", + " axes[i].plot(xvals, m*xvals+b)\n", + " # Pooled estimate\n", + " axes[i].plot(xvals, m0*xvals+b0, 'r--')\n", + " # Partial pooling esimate\n", + " axes[i].plot(xvals, mp*xvals+bp[county_lookup[c]], 'k:')\n", + " axes[i].set_xticks([0,1])\n", + " axes[i].set_xticklabels(['basement', 'floor'])\n", + " axes[i].set_ylim(-1, 3)\n", + " axes[i].set_title(c)\n", + " if not i%2:\n", + " axes[i].set_ylabel('log radon level')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Varying slope model\n", + "\n", + "Alternatively, we can posit a model that allows the counties to vary according to how the location of measurement (basement or floor) influences the radon reading.\n", + "\n", + "$$y_i = \\alpha + \\beta_{j[i]} x_{i} + \\epsilon_i$$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with Model() as varying_slope:\n", + " \n", + " # Priors\n", + " mu_b = Normal('mu_b', mu=0., sd=1e5)\n", + " sigma_b = HalfCauchy('sigma_b', 5)\n", + " \n", + " # Common intercepts\n", + " a = Normal('a', mu=0., sd=1e5)\n", + " # Random slopes\n", + " b = Normal('b', mu=mu_b, sd=sigma_b, shape=counties)\n", + " \n", + " # Model error\n", + " sigma_y = HalfCauchy('sigma_y',5)\n", + " \n", + " # Expected value\n", + " y_hat = a + b[county] * floor_measure\n", + " \n", + " # Data likelihood\n", + " y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,124.6: 100%|██████████| 50000/50000 [00:13<00:00, 3759.25it/s]\n", + "Finished [100%]: Average Loss = 1,124.6\n", + "100%|█████████▉| 1998/2000 [00:12<00:00, 172.69it/s]/Users/fonnescj/Repos/pymc3/pymc3/step_methods/hmc/nuts.py:268: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.655412161099, but should be close to 0.8. Try to increase the number of tuning steps.\n", + " % (chain, mean_accept, target_accept))\n", + "100%|██████████| 2000/2000 [00:12<00:00, 160.72it/s]\n" + ] + } + ], + "source": [ + "with varying_slope:\n", + " varying_slope_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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DhRarBP7+QGWltasgW2RMWaD2GBpQdrbljjB8OCeem0PIPCJPT094e3tj6NCh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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(6,14))\n", + "forestplot(varying_slope_trace[1000:], varnames=['b'])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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vALe41OmkSQfLsiaTmJOaGpAuW+htbXjuhQVxhQeDMg6nU+LWDQ3KFa6gsBo2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\nI2giogdYZKSMpNPSZPq7shIoK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zdi9erVUEohNzcXU6ZMcXfzdOfsv8ViwZdffonU1FSs\nXLkSAPDcc88hIyNj1HuZi5uIiMgDMVEJERGRB2KAJiIi8kAM0ERERB6IAZqIiMgDMUATERF5IAZo\nIiIiD8QATURE5IEYoImIiDzQfwEqm0wQFJG66wAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xvals = np.arange(2)\n", + "b = varying_slope_trace['a', 1000:].mean()\n", + "m = varying_slope_trace['b', 1000:].mean(axis=0)\n", + "for mi in m:\n", + " plt.plot(xvals, mi*xvals + b, 'bo-', alpha=0.4)\n", + "plt.xlim(-0.2, 1.2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Varying intercept and slope model\n", + "\n", + "The most general model allows both the intercept and slope to vary by county:\n", + "\n", + "$$y_i = \\alpha_{j[i]} + \\beta_{j[i]} x_{i} + \\epsilon_i$$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with Model() as varying_intercept_slope:\n", + " \n", + " # Priors\n", + " mu_a = Normal('mu_a', mu=0., sd=1e5)\n", + " sigma_a = HalfCauchy('sigma_a', 5)\n", + " mu_b = Normal('mu_b', mu=0., sd=1e5)\n", + " sigma_b = HalfCauchy('sigma_b', 5)\n", + " \n", + " # Random intercepts\n", + " a = Normal('a', mu=mu_a, sd=sigma_a, shape=counties)\n", + " # Random slopes\n", + " b = Normal('b', mu=mu_b, sd=sigma_b, shape=counties)\n", + " \n", + " # Model error\n", + " sigma_y = Uniform('sigma_y', lower=0, upper=100)\n", + " \n", + " # Expected value\n", + " y_hat = a[county] + b[county] * floor_measure\n", + " \n", + " # Data likelihood\n", + " y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,093.1: 100%|██████████| 50000/50000 [00:19<00:00, 2551.95it/s]\n", + "Finished [100%]: Average Loss = 1,093.1\n", + "100%|██████████| 2000/2000 [00:17<00:00, 116.26it/s]\n" + ] + } + ], + "source": [ + "with varying_intercept_slope:\n", + " varying_intercept_slope_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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XWGHy5MkAZGVlER8fT2JiIhcuXKBx48a2+/r7+5OXl0dSUhKDBw/Wy3IiLshs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\ndOlS4uPjmT59utLCf+FSfFs8K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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(6,16))\n", + "forestplot(varying_intercept_slope_trace[1000:], varnames=['a','b'])" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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oVF9sijasrGgomiHy06dBBnv4YWcTg/V1DcfevAkQy2RUjIItITs64LlTGpRd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\n2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p5x40ZQ9hbREirr+XkzUWG2n+vNOB/V2MaGjQ2BeNXXK1gfP67zerd7lgUETGWdfIy+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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xvals = np.arange(2)\n", + "b = varying_intercept_slope_trace['a', 1000:].mean(axis=0)\n", + "m = varying_intercept_slope_trace['b', 1000:].mean(axis=0)\n", + "for bi,mi in zip(b,m):\n", + " plt.plot(xvals, mi*xvals + bi, 'bo-', alpha=0.4)\n", + "plt.xlim(-0.1, 1.1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Adding group-level predictors\n", + "\n", + "A primary strength of multilevel models is the ability to handle predictors on multiple levels simultaneously. If we consider the varying-intercepts model above:\n", + "\n", + "$$y_i = \\alpha_{j[i]} + \\beta x_{i} + \\epsilon_i$$\n", + "\n", + "we may, instead of a simple random effect to describe variation in the expected radon value, specify another regression model with a county-level covariate. Here, we use the county uranium reading $u_j$, which is thought to be related to radon levels:\n", + "\n", + "$$\\alpha_j = \\gamma_0 + \\gamma_1 u_j + \\zeta_j$$\n", + "\n", + "$$\\zeta_j \\sim N(0, \\sigma_{\\alpha}^2)$$\n", + "\n", + "Thus, we are now incorporating a house-level predictor (floor or basement) as well as a county-level predictor (uranium).\n", + "\n", + "Note that the model has both indicator variables for each county, plus a county-level covariate. In classical regression, this would result in collinearity. In a multilevel model, the partial pooling of the intercepts towards the expected value of the group-level linear model avoids this.\n", + "\n", + "Group-level predictors also serve to reduce group-level variation $\\sigma_{\\alpha}$. An important implication of this is that the group-level estimate induces stronger pooling." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "from pymc3 import Deterministic\n", + "\n", + "with Model() as hierarchical_intercept:\n", + " \n", + " # Priors\n", + " sigma_a = HalfCauchy('sigma_a', 5)\n", + " \n", + " # County uranium model for slope\n", + " gamma_0 = Normal('gamma_0', mu=0., sd=1e5)\n", + " gamma_1 = Normal('gamma_1', mu=0., sd=1e5)\n", + " \n", + " \n", + " # Uranium model for intercept\n", + " mu_a = gamma_0 + gamma_1*u\n", + " # County variation not explained by uranium\n", + " eps_a = Normal('eps_a', mu=0, sd=sigma_a, shape=counties)\n", + " a = Deterministic('a', mu_a + eps_a[county])\n", + " \n", + " # Common slope\n", + " b = Normal('b', mu=0., sd=1e5)\n", + " \n", + " # Model error\n", + " sigma_y = Uniform('sigma_y', lower=0, upper=100)\n", + " \n", + " # Expected value\n", + " y_hat = a + b * floor_measure\n", + " \n", + " # Data likelihood\n", + " y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,081.6: 100%|██████████| 50000/50000 [00:12<00:00, 3866.91it/s]\n", + "Finished [100%]: Average Loss = 1,081.6\n", + "100%|██████████| 2000/2000 [00:08<00:00, 228.08it/s]\n" + ] + } + ], + "source": [ + "with hierarchical_intercept:\n", + " hierarchical_intercept_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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4WK5jOvHvMvqHo5JHFhWXhS15JBO7p6cnUlJSULNmTcTHx8PNzQ25ubm2iI2I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\nmXDUseJSn2P16tXo378/BgwYgN27d0tfUHBgUVF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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a_means = hierarchical_intercept_trace['a', 1000:].mean(axis=0)\n", + "plt.scatter(u, a_means)\n", + "g0 = hierarchical_intercept_trace['gamma_0'].mean()\n", + "g1 = hierarchical_intercept_trace['gamma_1'].mean()\n", + "xvals = np.linspace(-1, 0.8)\n", + "plt.plot(xvals, g0+g1*xvals, 'k--')\n", + "plt.xlim(-1, 0.8)\n", + "\n", + "a_se = hierarchical_intercept_trace['a', 1000:].std(axis=0)\n", + "for ui, m, se in zip(u, a_means, a_se):\n", + " plt.plot([ui,ui], [m-se, m+se], 'b-')\n", + "plt.xlabel('County-level uranium'); plt.ylabel('Intercept estimate');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The standard errors on the intercepts are narrower than for the partial-pooling model without a county-level covariate." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlations among levels\n", + "\n", + "In some instances, having predictors at multiple levels can reveal correlation between individual-level variables and group residuals. We can account for this by including the average of the individual predictors as a covariate in the model for the group intercept.\n", + "\n", + "$$\\alpha_j = \\gamma_0 + \\gamma_1 u_j + \\gamma_2 \\bar{x} + \\zeta_j$$\n", + "\n", + "These are broadly referred to as ***contextual effects***." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Create new variable for mean of floor across counties\n", + "xbar = srrs_mn.groupby('county')['floor'].mean().rename(county_lookup).values" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with Model() as contextual_effect:\n", + " \n", + " # Priors\n", + " sigma_a = HalfCauchy('sigma_a', 5)\n", + " \n", + " # County uranium model for slope\n", + " gamma = Normal('gamma', mu=0., sd=1e5, shape=3)\n", + " \n", + " # Uranium model for intercept\n", + " mu_a = Deterministic('mu_a', gamma[0] + gamma[1]*u.values + gamma[2]*xbar[county])\n", + "\n", + " # County variation not explained by uranium\n", + " eps_a = Normal('eps_a', mu=0, sd=sigma_a, shape=counties)\n", + " a = Deterministic('a', mu_a + eps_a[county])\n", + "\n", + " # Common slope\n", + " b = Normal('b', mu=0., sd=1e15)\n", + " \n", + " # Model error\n", + " sigma_y = Uniform('sigma_y', lower=0, upper=100)\n", + " \n", + " # Expected value\n", + " y_hat = a + b * floor_measure\n", + " \n", + " # Data likelihood\n", + " y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,116.3: 100%|██████████| 50000/50000 [00:12<00:00, 4108.64it/s]\n", + "Finished [100%]: Average Loss = 1,116.3\n", + "100%|██████████| 2000/2000 [00:11<00:00, 168.51it/s]\n" + ] + } + ], + "source": [ + "with contextual_effect:\n", + " contextual_effect_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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0qf++e++9V7t27ZLH49HZs2d14MCBYvcHitLW6DiOnnnmGTVr1kyTJk1SSEiI\nW2WWSWlrfOmll5Senq60tDT17t1bQ4YMCciQIZW+zhYtWmjfvn368ccf5fV6tWfPHjVp0sStUq9b\naWusVauWqlSpovDwcEVERKhGjRo6c+aMW6Va0bhxYx06dEinTp1SYWGhdu7cqfvuu8/tsspdSkqK\nPB6PXn/9df8WSmXy5JNPKiMjQ2lpaUpOTlZcXFylDxkSHY0r6tKliz755BMNGDBAjuNoypQpWrp0\nqRo1aqROnTopKSlJiYmJchxHzz//fEDuI5a2Rp/Pp08//VSFhYXaunWrJGnkyJEB94ntWn+PlcW1\n1vnCCy9o6NChkqTu3bsHZDC+1hq3b9+uhIQEBQcHq1WrVgHbcv+19957TwUFBerfv7/GjBmjp556\nSo7jqG/fvqpbt67b5ZWLy2ts0aKF1q5dq5iYGA0ePFjSpS/MXbp0cbnCsvvl3+PNiF+qBgAArGHr\nBAAAWEPQAAAA1hA0AACANQQNAABgDUEDAABYQ9AAAADWEDQAAIA1/wd4Q/4ndOh8yQAAAABJRU5E\nrkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "forestplot(contextual_effect_trace[1000:], varnames=['gamma'])" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "gamma:\n", + "\n", + " Mean SD MC Error 95% HPD interval\n", + " -------------------------------------------------------------------\n", + " \n", + " 1.424 0.047 0.003 [1.337, 1.519]\n", + " 0.697 0.081 0.003 [0.537, 0.853]\n", + " 0.395 0.183 0.010 [0.026, 0.754]\n", + "\n", + " Posterior quantiles:\n", + " 2.5 25 50 75 97.5\n", + " |--------------|==============|==============|--------------|\n", + " \n", + " 1.335 1.392 1.424 1.456 1.519\n", + " 0.537 0.645 0.696 0.752 0.853\n", + " 0.015 0.281 0.396 0.513 0.753\n", + "\n" + ] + } + ], + "source": [ + "summary(contextual_effect_trace[1000:], varnames=['gamma'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So, we might infer from this that counties with higher proportions of houses without basements tend to have higher baseline levels of radon. Perhaps this is related to the soil type, which in turn might influence what type of structures are built." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Prediction\n", + "\n", + "Gelman (2006) used cross-validation tests to check the prediction error of the unpooled, pooled, and partially-pooled models\n", + "\n", + "**root mean squared cross-validation prediction errors**:\n", + "\n", + "* unpooled = 0.86\n", + "* pooled = 0.84\n", + "* multilevel = 0.79\n", + "\n", + "There are two types of prediction that can be made in a multilevel model:\n", + "\n", + "1. a new individual within an existing group\n", + "2. a new individual within a new group\n", + "\n", + "For example, if we wanted to make a prediction for a new house with no basement in St. Louis county, we just need to sample from the radon model with the appropriate intercept." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "69" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "county_lookup['ST LOUIS']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That is, \n", + "\n", + "$$\\tilde{y}_i \\sim N(\\alpha_{69} + \\beta (x_i=1), \\sigma_y^2)$$\n", + "\n", + "This is simply a matter of adding a single additional line in PyMC:" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "with Model() as contextual_pred:\n", + " \n", + " # Priors\n", + " sigma_a = HalfCauchy('sigma_a', 5)\n", + " \n", + " # County uranium model for slope\n", + " gamma = Normal('gamma', mu=0., sd=1e5, shape=3)\n", + " \n", + " # Uranium model for intercept\n", + " mu_a = Deterministic('mu_a', gamma[0] + gamma[1]*u.values + gamma[2]*xbar[county])\n", + "\n", + " # County variation not explained by uranium\n", + " eps_a = Normal('eps_a', mu=0, sd=sigma_a, shape=counties)\n", + " a = Deterministic('a', mu_a + eps_a[county])\n", + "\n", + " # Common slope\n", + " b = Normal('b', mu=0., sd=1e15)\n", + " \n", + " # Model error\n", + " sigma_y = Uniform('sigma_y', lower=0, upper=100)\n", + " \n", + " # Expected value\n", + " y_hat = a + b * floor_measure\n", + " \n", + " # Data likelihood\n", + " y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n", + " \n", + " # St Louis county prediction\n", + " stl_pred = Normal('stl_pred', mu=a[69] + b, sd=sigma_y)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using ADVI...\n", + "Average Loss = 1,116.3: 100%|██████████| 50000/50000 [00:12<00:00, 3890.22it/s]\n", + "Finished [100%]: Average Loss = 1,116.3\n", + "100%|██████████| 2000/2000 [00:15<00:00, 131.23it/s]\n" + ] + } + ], + "source": [ + "with contextual_pred:\n", + " contextual_pred_trace = sample(2000, n_init=50000, tune=1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([], dtype=object)" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_posterior(contextual_pred_trace[1000:], varnames=['stl_pred'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Benefits of Multilevel Models\n", + "\n", + "Accounting for natural hierarchical structure of observational data\n", + "\n", + "Estimation of coefficients for (under-represented) groups\n", + "\n", + "Incorporating individual- and group-level information when estimating group-level coefficients\n", + "\n", + "Allowing for variation among individual-level coefficients across groups\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "Gelman, A., & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models (1st ed.). Cambridge University Press.\n", + "\n", + "Gelman, A. (2006). Multilevel (Hierarchical) modeling: what it can and cannot do. Technometrics, 48(3), 432–435." + ] + } + ], + "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": 1 +}