{
"cells": [
{
"cell_type": "markdown",
"id": "1e223d30",
"metadata": {},
"source": [
"## How much beer do my friends drink?\n",
"\n",
"Imagine moving to a new city. You just settled in and made some new friends. You have been out for beers a couple times and now want to throw a housewarming party. Unfortunately you are a super poor student so you dont have too much money to just buy a lot of beer, but you still want to have a good time with your friends.. \n",
"\n",
"So what do you do? How much beer should you buy? \n",
"\n",
"Because you are also a bit of a nerd you decide to make that decision using bayesian inference.."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d6b6aef7",
"metadata": {},
"outputs": [],
"source": [
"#Import some packages\n",
"import numpy as np\n",
"import pymc3 as pm\n",
"import arviz as az\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"id": "96d82bb3",
"metadata": {},
"source": [
"Because you also have a photographic memory (and are a bit weird) you remembered how much beer each of your friends had the last couple nights you have been out drinking"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d92fef25",
"metadata": {},
"outputs": [],
"source": [
"Peter = np.array([4, 5, 7, 10, 4])\n",
"Paul = np.array([8, 5, 10, 12, 9])\n",
"Mary = np.array([0, 3, 4, 6, 2])"
]
},
{
"cell_type": "markdown",
"id": "8c6a511f",
"metadata": {},
"source": [
"## Ready for some bayesian inference?\n",
"\n",
"Now you have your data so lets put it in a model and press the inference button. Essentially what we want to estimate is a probability distribution for the amount of beer each of your friends usually drinks on a night out.\n",
"\n",
"\n",
"\n",
"# $ P(n_{beer}|D) = {P(D|n_{beer})P(n_{beer}) \\over P(D)} $"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "b2ae6c7c",
"metadata": {},
"outputs": [],
"source": [
"def get_beer_posterior(data):\n",
"\n",
" #setting up a model using pythons context manager\n",
" with pm.Model() as beer_model:\n",
" \n",
" #sets up a more or less flat uniform prior between 0 beers and 20 beers\n",
" n_beer = pm.Uniform('n_beer', lower=0, upper=20)\n",
" #n_beer = pm.TruncatedNormal('n_beer', mu=2, sigma=10, lower=0) #15\n",
" \n",
" #add a sigma term \n",
" sigma = pm.HalfCauchy('sigma', beta=1)\n",
" \n",
" #now combine priors and the data\n",
" beer_observed = pm.Normal(\"beer_observed\",\n",
" mu=n_beer,\n",
" sigma=sigma,\n",
" observed=data)\n",
" \n",
" #all operations need to be performed in the context of our model\n",
" with beer_model:\n",
" #we now sample from the posterior using MCMC\n",
" step = pm.NUTS(target_accept=0.95)\n",
" trace = pm.sample(2000, tune=2000, return_inferencedata=True, step=step)\n",
" \n",
" return trace"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "95684b0f",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [sigma, n_beer]\n"
]
},
{
"data": {
"text/html": [
"\n",
"
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" \n",
"
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" 100.00% [8000/8000 00:06<00:00 Sampling 2 chains, 0 divergences]\n",
"
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" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 2 chains for 2_000 tune and 2_000 draw iterations (4_000 + 4_000 draws total) took 22 seconds.\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [sigma, n_beer]\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
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"text/plain": [
""
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},
"metadata": {},
"output_type": "display_data"
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{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 2 chains for 2_000 tune and 2_000 draw iterations (4_000 + 4_000 draws total) took 16 seconds.\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [sigma, n_beer]\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
"
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 2 chains for 2_000 tune and 2_000 draw iterations (4_000 + 4_000 draws total) took 16 seconds.\n",
"The number of effective samples is smaller than 25% for some parameters.\n"
]
}
],
"source": [
"trace_peter = get_beer_posterior(Peter)\n",
"trace_paul = get_beer_posterior(Paul)\n",
"trace_mary = get_beer_posterior(Mary)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "a8f67efd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Peter\n",
"Paul\n",
"Mary\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"print('Peter')\n",
"az.plot_trace(trace_peter, var_names='n_beer')\n",
"print('Paul')\n",
"az.plot_trace(trace_paul, var_names='n_beer')\n",
"print('Mary')\n",
"az.plot_trace(trace_mary, var_names='n_beer');"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "357d7a58",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" n_beer \n",
" 6.018 \n",
" 1.243 \n",
" 3.693 \n",
" 8.641 \n",
" 0.032 \n",
" 0.023 \n",
" 1559.0 \n",
" 991.0 \n",
" 1.0 \n",
" \n",
" \n",
" sigma \n",
" 2.752 \n",
" 1.146 \n",
" 1.204 \n",
" 4.695 \n",
" 0.036 \n",
" 0.026 \n",
" 1278.0 \n",
" 1306.0 \n",
" 1.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"n_beer 6.018 1.243 3.693 8.641 0.032 0.023 1559.0 991.0 \n",
"sigma 2.752 1.146 1.204 4.695 0.036 0.026 1278.0 1306.0 \n",
"\n",
" r_hat \n",
"n_beer 1.0 \n",
"sigma 1.0 "
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.summary(trace_peter)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "37fa623e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" n_beer \n",
" 8.673 \n",
" 1.34 \n",
" 6.264 \n",
" 11.393 \n",
" 0.041 \n",
" 0.029 \n",
" 1248.0 \n",
" 835.0 \n",
" 1.0 \n",
" \n",
" \n",
" sigma \n",
" 2.825 \n",
" 1.17 \n",
" 1.297 \n",
" 4.939 \n",
" 0.033 \n",
" 0.024 \n",
" 1389.0 \n",
" 1665.0 \n",
" 1.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"n_beer 8.673 1.34 6.264 11.393 0.041 0.029 1248.0 835.0 \n",
"sigma 2.825 1.17 1.297 4.939 0.033 0.024 1389.0 1665.0 \n",
"\n",
" r_hat \n",
"n_beer 1.0 \n",
"sigma 1.0 "
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.summary(trace_paul)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "0999ef8d",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" mean \n",
" sd \n",
" hdi_3% \n",
" hdi_97% \n",
" mcse_mean \n",
" mcse_sd \n",
" ess_bulk \n",
" ess_tail \n",
" r_hat \n",
" \n",
" \n",
" \n",
" \n",
" n_beer \n",
" 3.039 \n",
" 1.126 \n",
" 0.889 \n",
" 5.131 \n",
" 0.034 \n",
" 0.024 \n",
" 998.0 \n",
" 844.0 \n",
" 1.0 \n",
" \n",
" \n",
" sigma \n",
" 2.463 \n",
" 1.049 \n",
" 1.100 \n",
" 4.274 \n",
" 0.028 \n",
" 0.020 \n",
" 1628.0 \n",
" 1577.0 \n",
" 1.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"n_beer 3.039 1.126 0.889 5.131 0.034 0.024 998.0 844.0 \n",
"sigma 2.463 1.049 1.100 4.274 0.028 0.020 1628.0 1577.0 \n",
"\n",
" r_hat \n",
"n_beer 1.0 \n",
"sigma 1.0 "
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.summary(trace_mary)"
]
},
{
"cell_type": "markdown",
"id": "c058e0a2",
"metadata": {},
"source": [
"So How do you now answer the question of how much beer you should buy?\n",
"Well, thats up to you. But if you want to be super sure that you dont end up buying not enough beer, why not take the upper bound of each credible intervall?"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "08ae613b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"25.165"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"upper_bound = [az.summary(friend)['hdi_97%']['n_beer'] for friend in [trace_peter, trace_paul, trace_mary]]\n",
"\n",
"np.sum(upper_bound)\n",
"\n",
"#Probably you would also want to add yourself ;)"
]
},
{
"cell_type": "markdown",
"id": "99c035bd",
"metadata": {},
"source": [
"## So whos drinking the most?\n",
"\n",
"Based on the posteriors of your parameter estimates you can now ask all sorts of questions e.g. whos going to drink the most and how certain can you be that this guess is going to be true?"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "0de51bb0",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"sns.set_style('ticks')\n",
"sns.set_context('talk')\n",
"\n",
"\n",
"get_posterior = lambda trace : np.array(trace.posterior['n_beer']).flatten()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "ee79f7cf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9615"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Probability that Peter drinks more than Mary\n",
"(get_posterior(trace_peter) > get_posterior(trace_mary)).mean()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "9616f1ff",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9925"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Probability that Paul drinks more than Mary\n",
"(get_posterior(trace_paul) > get_posterior(trace_mary)).mean()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "7dc5fb68",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9305"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Probability that Paul drinks more than Peter\n",
"(get_posterior(trace_paul) > get_posterior(trace_peter)).mean()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "76772557",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_ppm = pd.DataFrame({'Peter': get_posterior(trace_peter),\n",
" 'Paul': get_posterior(trace_paul),\n",
" 'Mary': get_posterior(trace_mary)}).melt()\n",
"\n",
"sns.displot(data=df_ppm, x='value', hue='variable');"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "fc6b7a97",
"metadata": {},
"outputs": [],
"source": [
"Peter = np.array([4, 5, 7, 10, 4, 5, 4])\n",
"Paul = np.array([8, 5, 10, 12, 9, 5, 6])\n",
"Mary = np.array([1, 3, 4, 6, 2, 1, 0])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0fd1cf19",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.9.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}