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@Kornel
Created September 26, 2016 19:17
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A B tests - MCMC vs proportion test, WIP
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{
"cells": [
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pymc as pm\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import scipy, scipy.stats\n",
"import pylab\n",
"from matplotlib import pyplot as plt\n",
"from pymc.Matplot import plot as mcplot\n",
"sns.set(color_codes = True)\n",
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sns.set_context(\"notebook\", font_scale=1, rc={\"lines.linewidth\": 1})\n",
"sns.set_style(\"white\")\n",
"sns.set_style(\"ticks\")\n",
"np.random.seed(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generate 'fake' experiment data"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"unknown_ctrs = [0.059, 0.05, 0.051]\n",
"\n",
"emissions = 2e4\n",
"\n",
"conversions_A = scipy.stats.binom.rvs(n=emissions, p=unknown_ctrs[0])\n",
"conversions_B = scipy.stats.binom.rvs(n=emissions, p=unknown_ctrs[1])\n",
"conversions_C = scipy.stats.binom.rvs(n=emissions, p=unknown_ctrs[2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## MCMC posterior calculation"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-----------------100%-----------------] 1000000 of 1000000 complete in 132.8 sec"
]
}
],
"source": [
"@pm.stochastic(dtype=np.float64)\n",
"def hyperpriors(value=[1.0, 1.0]):\n",
" a, b = value[0], value[1]\n",
" if a <= 0 or b <= 0:\n",
" return -np.inf\n",
" else:\n",
" return np.log(np.power((a + b), -2.5))\n",
"\n",
"a = hyperpriors[0]\n",
"b = hyperpriors[1]\n",
"\n",
"true_rates = pm.Beta('true_rates', a, b, size=3)\n",
"\n",
"trials = np.repeat(emissions, 3)\n",
"successes = np.array([conversions_A, conversions_B, conversions_C])\n",
"observed = pm.Binomial('observed', trials, true_rates, value=successes, observed=True)\n",
"\n",
"model = pm.Model([a, b, true_rates, observed])\n",
"mcmc = pm.MCMC(model)\n",
"\n",
"mcmc.sample(1000000, 500000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Posterior \n",
"\n",
"### Get the posterior data"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"posterior_A = mcmc.trace('true_rates')[:][:, 0]\n",
"posterior_B = mcmc.trace('true_rates')[:][:, 1]\n",
"posterior_C = mcmc.trace('true_rates')[:][:, 2]\n",
"\n",
"mean_A = np.mean(posterior_A)\n",
"mean_B = np.mean(posterior_B)\n",
"mean_C = np.mean(posterior_C)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the posterior distributions"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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zxXujn+1tKqK24yAX5Z7PsqxFRDjDj3mniIjI2cY0TR555BH++7//G5fLxSWXXMJll11G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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1219ce590>"
]
},
"metadata": {
"image/png": {
"height": 380,
"width": 490
}
},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(posterior_A, shade=True, label = 'A')\n",
"sns.kdeplot(posterior_B, shade=True, label = 'B')\n",
"sns.kdeplot(posterior_C, shade=True, label = 'C')\n",
"plt.axvline(x=mean_A, color='b', ls='dashed', alpha = 0.5)\n",
"plt.axvline(x=mean_B, color='g', ls='dashed', alpha = 0.5)\n",
"plt.axvline(x=mean_C, color='r', ls='dashed', alpha = 0.5)\n",
"plt.xticks([mean_A, mean_B, mean_C])\n",
"_, labels = plt.xticks()\n",
"plt.setp(labels, rotation=90)\n",
"plt.legend()\n",
"sns.despine()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Summary"
]
},
{
"cell_type": "code",
"execution_count": 95,
"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>observed frequency</th>\n",
" <th>posterior mean</th>\n",
" <th>true probability (unknown)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>A</th>\n",
" <td>0.04855</td>\n",
" <td>0.048615</td>\n",
" <td>0.049</td>\n",
" </tr>\n",
" <tr>\n",
" <th>B</th>\n",
" <td>0.04905</td>\n",
" <td>0.049108</td>\n",
" <td>0.050</td>\n",
" </tr>\n",
" <tr>\n",
" <th>C</th>\n",
" <td>0.05135</td>\n",
" <td>0.051336</td>\n",
" <td>0.051</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" observed frequency posterior mean true probability (unknown)\n",
"A 0.04855 0.048615 0.049\n",
"B 0.04905 0.049108 0.050\n",
"C 0.05135 0.051336 0.051"
]
},
"execution_count": 95,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame({'posterior mean': [np.mean(posterior_A), np.mean(posterior_B), np.mean(posterior_C)],\n",
" 'observed frequency': [conversions_A / emissions, conversions_B / emissions, conversions_C / emissions],\n",
" 'true probability (unknown)': unknown_ctrs,\n",
" },\n",
" index = ['A', 'B', 'C'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Differences\n",
"\n",
"### Plot"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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2q8G2A2cprWwMdjoiIhJCVLiLiIgMQS63i6d3vMC64g1YDAs3Zy1mydTFF13H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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x120b2a3d0>"
]
},
"metadata": {
"image/png": {
"height": 348,
"width": 503
}
},
"output_type": "display_data"
}
],
"source": [
"AB = posterior_A - posterior_B\n",
"AB_mean = np.mean(AB)\n",
"\n",
"AC = posterior_A - posterior_C\n",
"AC_mean = np.mean(AC)\n",
"\n",
"BC = posterior_B - posterior_C\n",
"BC_mean = np.mean(BC)\n",
"\n",
"\n",
"sns.kdeplot(AB, shade=True, label = 'A - B')\n",
"sns.kdeplot(AC, shade=True, label = 'A - C')\n",
"sns.kdeplot(BC, shade=True, label = 'B - C')\n",
"plt.axvline(x=AB_mean, color='b', ls='dashed', alpha = 0.5)\n",
"plt.axvline(x=AC_mean, color='g', ls='dashed', alpha = 0.5)\n",
"plt.axvline(x=BC_mean, color='r', ls='dashed', alpha = 0.5)\n",
"plt.legend()\n",
"sns.despine()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Results"
]
},
{
"cell_type": "code",
"execution_count": 87,
"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>posterior mean diff</th>\n",
" <th>real diff</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>A - B</th>\n",
" <td>-0.000493</td>\n",
" <td>-0.001</td>\n",
" </tr>\n",
" <tr>\n",
" <th>A - C</th>\n",
" <td>-0.002721</td>\n",
" <td>-0.002</td>\n",
" </tr>\n",
" <tr>\n",
" <th>B - C</th>\n",
" <td>-0.002228</td>\n",
" <td>-0.001</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" posterior mean diff real diff\n",
"A - B -0.000493 -0.001\n",
"A - C -0.002721 -0.002\n",
"B - C -0.002228 -0.001"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame({\n",
" 'posterior mean diff': [AB_mean, AC_mean, BC_mean],\n",
" 'real diff': [unknown_ctrs[0] - unknown_ctrs[1], \n",
" unknown_ctrs[0] - unknown_ctrs[2], \n",
" unknown_ctrs[1] - unknown_ctrs[2]]}, \n",
" index = ['A - B', 'A - C', 'B - C'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## NHST"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.425204918341\n"
]
},
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 126,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"observed = [[conversions_A, conversions_B, conversions_C], np.repeat(emissions, 3)]\n",
"chi2, p, dof, ex = scipy.stats.chi2_contingency(observed)\n",
"print p\n",
"p < 0.01"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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