{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Poisson and 0-inflated\n", "\n", "##### Keywords: glm, regression, poisson regression, link-function, zero-inflated, mixture model" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "//anaconda/envs/py35/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n", " warnings.warn(self.msg_depr % (key, alt_key))\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib as mpl\n", "import matplotlib.cm as cm\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "pd.set_option('display.width', 500)\n", "pd.set_option('display.max_columns', 100)\n", "pd.set_option('display.notebook_repr_html', True)\n", "import seaborn as sns\n", "sns.set_style(\"whitegrid\")\n", "sns.set_context(\"poster\")\n", "import pymc3 as pm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Monks with different exposure times" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "y_i \\sim Poisson(\\lambda_i)\\\\\n", "log(\\lambda_i) = \\alpha + \\beta x_i\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "y_i \\sim Poisson(\\lambda_i)\\\\\n", "log(\\lambda_i) = log(\\frac{\\mu_i}{\\tau_i}) = \\alpha + \\beta x_i\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "y_i \\sim Poisson(\\mu_i)\\\\\n", "log(\\mu_i) = log(\\tau_i) + \\alpha + \\beta x_i\n", "$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy.stats import poisson\n", "num_days=30\n", "y=poisson.rvs(mu=1.5, size=30)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 1, 0, 4, 2, 4, 1, 2, 1, 1, 1, 0, 1, 1,\n", " 1, 0, 1, 2, 1, 1, 3])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([5, 0, 3, 3])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "num_weeks=4\n", "y_new = poisson.rvs(mu=0.5*7, size=num_weeks)#per week\n", "y_new" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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daysmonasteryy
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" ], "text/plain": [ " days monastery y\n", "0 1 0 1\n", "1 1 0 2\n", "2 1 0 1\n", "3 1 0 3\n", "4 1 0 1\n", "5 1 0 1\n", "6 1 0 1\n", "7 1 0 1\n", "8 1 0 1\n", "9 1 0 1\n", "10 1 0 1\n", "11 1 0 0\n", "12 1 0 4\n", "13 1 0 2\n", "14 1 0 4\n", "15 1 0 1\n", "16 1 0 2\n", "17 1 0 1\n", "18 1 0 1\n", "19 1 0 1\n", "20 1 0 0\n", "21 1 0 1\n", "22 1 0 1\n", "23 1 0 1\n", "24 1 0 0\n", "25 1 0 1\n", "26 1 0 2\n", "27 1 0 1\n", "28 1 0 1\n", "29 1 0 3\n", "30 7 1 5\n", "31 7 1 0\n", "32 7 1 3\n", "33 7 1 3" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "yall=list(y) + list(y_new)\n", "exposure=len(y)*[1]+len(y_new)*[7]\n", "monastery = len(y)*[0]+len(y_new)*[1]\n", "df=pd.DataFrame.from_dict(dict(y=yall, days=exposure, monastery=monastery))\n", "df" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import theano.tensor as t\n", "with pm.Model() as model1:\n", " alpha=pm.Normal(\"alpha\", 0,100)\n", " beta=pm.Normal(\"beta\", 0,1)\n", " logmu = t.log(df.days)+alpha+beta*df.monastery\n", " y = pm.Poisson(\"obsv\", mu=t.exp(logmu), observed=df.y)\n", " lambda0 = pm.Deterministic(\"lambda0\", t.exp(alpha))\n", " lambda1 = pm.Deterministic(\"lambda1\", t.exp(alpha + beta))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Average ELBO = -57.734: 100%|██████████| 200000/200000 [00:17<00:00, 11544.43it/s]6, 12055.30it/s]\n", "100%|██████████| 5000/5000 [00:05<00:00, 948.05it/s] \n" ] } ], "source": [ "with model1:\n", " trace1 = pm.sample(5000)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YAE0XP4lMiaJyEfy9XcF1q3ucHgBkF1Yjp1ATTPWPCdG1fDYXJXwxyqukCA1w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\nE4Y5UwfrazkQCP0dNxc2Eob6ImFom/Apb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace1, varnames=['lambda0', 'lambda1'])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "lambda0:\n", "\n", " Mean SD MC Error 95% HPD interval\n", " -------------------------------------------------------------------\n", " \n", " 1.329 0.210 0.004 [0.924, 1.731]\n", "\n", " Posterior quantiles:\n", " 2.5 25 50 75 97.5\n", " |--------------|==============|==============|--------------|\n", " \n", " 0.941 1.183 1.319 1.465 1.767\n", "\n", "\n", "lambda1:\n", "\n", " Mean SD MC Error 95% HPD interval\n", " -------------------------------------------------------------------\n", " \n", " 0.432 0.119 0.002 [0.219, 0.674]\n", "\n", " Posterior quantiles:\n", " 2.5 25 50 75 97.5\n", " |--------------|==============|==============|--------------|\n", " \n", " 0.231 0.347 0.421 0.511 0.695\n", "\n" ] } ], "source": [ "pm.summary(trace1, varnames=['lambda0', 'lambda1'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One tends to use Poisson over Binomial in the scenario of low counts where the counts *could* be very large. Kidney cancers for example. In a sense you can think of this indeed as a binomial with low probability of \"success\" and a large number of trials. This limit of the Binomial distribution is the Poisson distribution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Monks who drink: the Zero-Inflated Poisson Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From McElreath:\n", "\n", ">Now imagine that the monks take breaks on some days. On those days, no manuscripts are completed. Instead, the wine cellar is opened and more earthly delights are practiced. As the monastery owner, you'd like to know how often the monks drink. The obstacle for inference is that there will be zeros on honest non-drinking days, as well, just by chance. So how can you estimate the number of days spent drinking?\n", "\n", "![](images/a-st-bernardus-prior-8.jpg)\n", "\n", "The kind of model used to solve this problem is called a **Mixture Model**. We'll see these in more detail next week, but here is a simple version that arises in Poisson regression.\n", "\n", "Let $p$ be the probability that the monks spend the day drinking, and $\\lambda$ be the mean number of manuscripts completed, when they work.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Likelihood" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The likelihood of observing 0 manuscripts produced is is:\n", "\n", " $$\\cal{L}(y=0) = p + (1-p) e^{-\\lambda},$$\n", "\n", "since the Poisson likelihood of $y$ is $ \\lambda^y exp(–\\lambda)/y!$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Likelihood of a non-zero $y$ is:\n", "\n", " $$\\cal{L}(y \\ne 0) = (1-p) \\frac{\\lambda^y e^{-\\lambda}}{y!}$$\n", "\n", "This model can be described by this diagram, taken from Mc-Elreath\n", "\n", "![](images/zinfmonks.png)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generating the data\n", "\n", "We're throwing bernoullis for whether a given day in the year is a drinking day or not..." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1,\n", " 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0,\n", " 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0,\n", " 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0,\n", " 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\n", " 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0,\n", " 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1,\n", " 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.stats import binom\n", "p_drink=0.2\n", "rate_work=1\n", "N=365\n", "drink=binom.rvs(n=1, p=p_drink, size=N)\n", "drink" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On days we dont drink, we produce some work...though it might be 0 work..." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1,\n", " 3, 2, 1, 1, 2, 3, 0, 0, 2, 0, 0, 2, 0, 4, 2, 1, 0, 1, 2, 0, 1, 1, 2,\n", " 2, 1, 0, 0, 1, 2, 1, 0, 3, 0, 1, 1, 0, 1, 3, 1, 0, 2, 0, 0, 3, 1, 0,\n", " 1, 1, 0, 0, 2, 1, 0, 0, 3, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2,\n", " 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 3,\n", " 0, 3, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 3, 1, 0, 0, 0, 0, 1,\n", " 0, 2, 1, 0, 0, 3, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1,\n", " 0, 1, 2, 2, 2, 3, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 4, 0, 0, 0, 0, 2,\n", " 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2,\n", " 0, 3, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 3, 2, 0, 1, 0, 5, 1,\n", " 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 3, 2,\n", " 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0,\n", " 0, 2, 2, 1, 0, 2, 3, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1,\n", " 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0,\n", " 1, 0, 2, 1, 1, 0, 0, 1, 2, 3, 2, 3, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 3,\n", " 0, 0, 0, 3, 0, 2, 0, 2, 1, 3, 1, 1, 0, 3, 1, 1, 0, 2, 0, 0])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y = ( 1 - drink)*poisson.rvs(mu=rate_work, size=N)\n", "y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets manufacture a histogram of manuscripts produced in a day." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(72, 99, 171)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zeros_drink=np.sum(drink)\n", "a=drink==0\n", "b=y==0\n", "zeros_work=np.sum(a & b)\n", "zeros_drink, zeros_work, np.sum(b)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 171., 110., 60., 21., 2., 1., 0., 0., 0.]),\n", " array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]),\n", " )" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(zeros_work*[0], bins=np.arange(10))\n", "plt.hist(y, bins=np.arange(10), alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MCMC on the model\n", "\n", "The likelihood that combines the two cases considered above is called the **Zero Inflated poisson**. It has two arguments, the Poisson rate parameter, and the proportion of poisson variates (theta and psi in pymc)." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def tinvlogit(x):\n", " return t.exp(x) / (1 + t.exp(x))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "with pm.Model() as model2:\n", " alphalam=pm.Normal(\"alphalam\", 0,10)\n", " alphap=pm.Normal(\"alphap\", 0,1)\n", " #regression models with intercept only\n", " logmu = alphalam\n", " logitp = alphap\n", " y = pm.ZeroInflatedPoisson(\"obsv\", theta=t.exp(logmu), psi=tinvlogit(logitp), observed=y)\n", " lam = pm.Deterministic(\"lam\", t.exp(logmu))\n", " p = pm.Deterministic(\"p\", tinvlogit(logitp))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 8%|▊ | 16735/200000 [00:01<00:16, 11183.71it/s]| 1103/200000 [00:00<00:18, 11026.25it/s]\n", "100%|██████████| 2000/2000 [00:01<00:00, 1256.31it/s]\n" ] } ], "source": [ "with model2:\n", " trace2=pm.sample(2000)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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G/1UaPeQqHRQqHeQqHTROKFL2kKt0+OlsIX46W4jBaZ0w+f/SEB1uPTsagdAWiIqKQlZW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B+gn/dKjUHJKvaf4Gcp3F6Ns9CABwP68COUVidA41Lhvi5VvFGBAVAocGErCUieTIyK9EYCPT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\nQ6lUQqVSsdfr6+sBtD+Wl1bbehxEi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wDw9/d3TeXRvvo3cuzYMaSkpFgdOgfMSmRwcLBN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\n", 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