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@fonnesbeck
Last active November 10, 2015 21:49
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import seaborn as sns\n",
"sns.set()\n",
"from pymc3 import *\n",
"\n",
"np.random.seed(42)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Extract data"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = np.reshape([2005, 52, 30, 21, 1, 40280, 1.29, 0.74, 0.52, 2006, 55, 33, 19, 3, 42615, 1.29, 0.77, 0.45, \n",
" 2007, 46, 25, 21, 0, 43199, 1.06, 0.58, 0.49, 2008, 52, 21, 22, 9, 43237, 1.20, 0.49, 0.51, \n",
" 2009, 52, 19, 29, 4, 41476, 1.25, 0.46, 0.70, 2010, 35, 14, 20, 1, 40147, 0.87, 0.35, 0.50, \n",
" 2011, 32, 14, 18, 0, 40366, 0.79, 0.35, 0.45, 2012, 40, 11, 23, 6, 40571, 0.99, 0.27, 0.57, \n",
" 2013, 33, 14, 17, 2, 40792, 0.81, 0.34, 0.42, 2014, 34, 12, 18, 4, 41788, 0.81, 0.29, 0.43], \n",
" (10,9))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"year, total, early, late, late_late, births, *rates = data.T.astype(int)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Build binomial model for GBS"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with Model() as simple_model:\n",
" \n",
" # Probabilities for 2005-2009\n",
" p_early_0509 = Beta('p_early_0509', 1, 1)\n",
" p_late_0509 = Beta('p_late_0509', 1, 1)\n",
" \n",
" # Difference between early and late in 2005-2009\n",
" diff_early_late_0509 = Deterministic('diff_early_late_0509', 1000*(p_late_0509 - p_early_0509))\n",
" \n",
" # Probabilities for 2010-2014\n",
" p_early_1014 = Beta('p_early_1014', 1, 1)\n",
" p_late_1014 = Beta('p_late_1014', 1, 1)\n",
" \n",
" # Difference between early and late in 2010-2014\n",
" diff_early_late_1014 = Deterministic('diff_early_late_1014', 1000*(p_late_1014 - p_early_1014))\n",
" \n",
" # Differences between periods within early group\n",
" diff_early_0509_1014 = Deterministic('diff_early_0509_1014', 1000*(p_early_1014 - p_early_0509))\n",
" # Differences between periods within late group\n",
" diff_late_0509_1014 = Deterministic('diff_late_0509_1014', 1000*(p_late_1014 - p_late_0509))\n",
" \n",
" pre_2010 = year < 2010\n",
" \n",
" # Binomial likelihoods\n",
" early_0509 = Binomial('early_0509', births[pre_2010], p_early_0509, observed=early[pre_2010])\n",
" late_0509 = Binomial('late_0509', births[pre_2010], p_late_0509, observed=late[pre_2010])\n",
" early_1014 = Binomial('early_1014', births[~pre_2010], p_early_1014, observed=early[~pre_2010])\n",
" late_1014 = Binomial('late_1014', births[~pre_2010], p_late_1014, observed=late[~pre_2010])\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run the model using Hamiltonian MC"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 5000 of 5000 complete in 6.3 sec"
]
}
],
"source": [
"with simple_model:\n",
" \n",
" start = find_MAP()\n",
" step = NUTS(scaling=start)\n",
" trace = sample(5000, step, start)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Estimates of binomial probabilities"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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Zmam8vDz5+fndsF2zZs3UsWNHxcfH65133lHPnj117733aubMmVq4cKEWLFiggIAAORyO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\nFZy26UVMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a3ee4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"forestplot(trace, vars=['p_early_0509', 'p_late_0509', 'p_early_1014', 'p_late_1014']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Estimates of differences between probabilities"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"diff_early_late_0509:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" -0.076 0.077 0.001 [-0.227, 0.067]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -0.224 -0.130 -0.077 -0.023 0.071\n",
"\n",
"\n",
"diff_early_late_1014:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" 0.152 0.064 0.001 [0.032, 0.278]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" 0.028 0.109 0.151 0.196 0.275\n",
"\n",
"\n",
"diff_early_0509_1014:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" -0.289 0.069 0.001 [-0.421, -0.155]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -0.426 -0.335 -0.288 -0.242 -0.159\n",
"\n",
"\n",
"diff_late_0509_1014:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" -0.060 0.073 0.001 [-0.217, 0.072]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -0.206 -0.111 -0.060 -0.008 0.084\n",
"\n"
]
}
],
"source": [
"summary(trace, vars=[diff_early_late_0509, diff_early_late_1014, diff_early_0509_1014, diff_late_0509_1014])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Conclusions\n",
"\n",
"There is a 95% probability the true difference between early rates in 2010-2014 versus 2005-2009 is between -0.421 and -0.155, with an estimated median difference of -0.288. This interval does not contain zero, so we are sure that the rate in 2010-14 is smaller than the rate in 2005-09.\n",
"\n",
"There is a 95% probability the true difference between late rates in 2010-2014 versus 2005-2009 is between -0.217 and 0.072, with an estimated median difference of -0.060. This interval contains zero, so we are not confident that the estimated difference is real.\n",
"\n",
"There is a 95% probability the true difference between early rate versus late rate in 2005-2009 is between -0.227 and 0.067, with an estimated median difference of -0.077. This interval contains zero, so we are not confident that the estimated difference is real.\n",
"\n",
"There is a 95% probability the true difference between early rate versus late rate in 2010-2014 is between 0.032 and 0.278, with an estimated median difference of 0.151. This interval does not contain zero, so we are sure that the late rate is larger than the early rate in 2010-14."
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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3BdBZUbbLF0g2QIXawDh21Jcybx9TWbUCZdWKsJVaYKRkHTx4EHfffTdeeukl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\nBIJH/CpZo0ePxujRox21sWi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2hUJhK8+MS5cuYc+ePXjnnXcYZy5kObnYxcXyoNAaPW7n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\nhBBCCCGEkBCiJIsQQgghhBBCQuj/A/DrY9x1u/+xAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x120ebb438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"traceplot(trace, vars=['diff_early_0509_1014', 'diff_late_0509_1014',\n",
" 'diff_early_late_0509', 'diff_early_late_1014']);"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_white = 327017.2\n",
"n_black = 70874.54\n",
"eos_white = 148\n",
"los_white = 96\n",
"eos_black = 221\n",
"los_black = 132"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with Model() as race_model:\n",
" \n",
" p_eos_white = Beta('p_eos_white', 1, 1)\n",
" p_los_white = Beta('p_los_white', 1, 1)\n",
" p_eos_black = Beta('p_eos_black', 1, 1)\n",
" p_los_black = Beta('p_los_black', 1, 1)\n",
" \n",
" eos_diff = Deterministic('eos_diff', 1000*(p_eos_white - p_eos_black))\n",
" los_diff = Deterministic('los_diff', 1000*(p_los_white - p_los_black))\n",
" \n",
" y_eos_white = Binomial('y_eos_white', n_white, p_eos_white, observed=eos_white)\n",
" y_los_white = Binomial('y_los_white', n_white, p_los_white, observed=eos_white)\n",
" y_eos_black = Binomial('y_eos_black', n_black, p_eos_black, observed=eos_black)\n",
" y_los_black = Binomial('y_los_black', n_black, p_los_black, observed=eos_black)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 5000 of 5000 complete in 3.3 sec"
]
}
],
"source": [
"with race_model:\n",
" start = find_MAP()\n",
" step = NUTS(scaling=start)\n",
" race_trace = sample(5000, step, start)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"eos_diff:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" -2.672 0.223 0.003 [-3.105, -2.239]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -3.124 -2.817 -2.671 -2.519 -2.247\n",
"\n",
"\n",
"los_diff:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" -2.678 0.225 0.003 [-3.135, -2.258]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -3.132 -2.828 -2.671 -2.520 -2.252\n",
"\n"
]
}
],
"source": [
"summary(race_trace, vars=['eos_diff', 'los_diff'])"
]
}
],
"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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