{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# A Hierarchical model for Rugby prediction\n",
"\n",
":::{post} 19 Mar, 2022\n",
":tags: hierarchical model, sports \n",
":category: intermediate, how-to\n",
":author: Peadar Coyle, Meenal Jhajharia, Oriol Abril-Pla\n",
":::"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this example, we're going to reproduce the first model described in {cite:t}`baio2010bayesian` using PyMC. Then show how to sample from the posterior predictive to simulate championship outcomes from the scored goals which are the modeled quantities.\n",
"\n",
"We apply the results of the paper to the Six Nations Championship, which is a competition between Italy, Ireland, Scotland, England, France and Wales."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Motivation\n",
"Your estimate of the strength of a team depends on your estimates of the other strengths\n",
"\n",
"Ireland are a stronger team than Italy for example - but by how much?\n",
"\n",
"Source for Results 2014 are Wikipedia. I've added the subsequent years, 2015, 2016, 2017. Manually pulled from Wikipedia.\n",
"\n",
"* We want to infer a latent parameter - that is the 'strength' of a team based only on their **scoring intensity**, and all we have are their scores and results, we can't accurately measure the 'strength' of a team.\n",
"* Probabilistic Programming is a brilliant paradigm for modeling these **latent** parameters\n",
"* Aim is to build a model for the upcoming Six Nations in 2018."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
":::{include} ../extra_installs.md\n",
":::"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"sáb 02 abr 2022 03:24:55 EEST\r\n"
]
}
],
"source": [
"!date\n",
"\n",
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc as pm\n",
"import pytensor.tensor as pt\n",
"import seaborn as sns\n",
"\n",
"from matplotlib.ticker import StrMethodFormatter\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"az.style.use(\"arviz-darkgrid\")\n",
"plt.rcParams[\"figure.constrained_layout.use\"] = False"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is a Rugby prediction exercise. So we'll input some data. We've taken this from Wikipedia and BBC sports."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"try:\n",
" df_all = pd.read_csv(\"../data/rugby.csv\", index_col=0)\n",
"except:\n",
" df_all = pd.read_csv(pm.get_data(\"rugby.csv\"), index_col=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## What do we want to infer?\n",
"\n",
"* We want to infer the latent parameters (every team's strength) that are generating the data we observe (the scorelines).\n",
"* Moreover, we know that the scorelines are a noisy measurement of team strength, so ideally, we want a model that makes it easy to quantify our uncertainty about the underlying strengths.\n",
"* Often we don't know what the Bayesian Model is explicitly, so we have to 'estimate' the Bayesian Model'\n",
"* If we can't solve something, approximate it.\n",
"* Markov-Chain Monte Carlo (MCMC) instead draws samples from the posterior.\n",
"* Fortunately, this algorithm can be applied to almost any model.\n",
"\n",
"## What do we want?\n",
"\n",
"* We want to quantify our uncertainty\n",
"* We want to also use this to generate a model\n",
"* We want the answers as distributions not point estimates"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualization/EDA\n",
"We should do some some exploratory data analysis of this dataset.\n",
"\n",
"The plots should be fairly self-explantory, we'll look at things like difference between teams in terms of their scores."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" home_team away_team home_score away_score year\n",
"55 Italy France 18 40 2017\n",
"56 England Scotland 61 21 2017\n",
"57 Scotland Italy 29 0 2017\n",
"58 France Wales 20 18 2017\n",
"59 Ireland England 13 9 2017"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Let's look at the tail end of this dataframe\n",
"df_all.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are a few things here that we don't need. We don't need the year for our model.\n",
"But that is something that could improve a future model.\n",
"\n",
"Firstly let us look at differences in scores by year."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"df_all[\"difference\"] = np.abs(df_all[\"home_score\"] - df_all[\"away_score\"])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(\n",
" df_all.groupby(\"year\")[\"difference\"]\n",
" .mean()\n",
" .plot(\n",
" kind=\"bar\",\n",
" title=\"Average magnitude of scores difference Six Nations\",\n",
" yerr=df_all.groupby(\"year\")[\"difference\"].std(),\n",
" )\n",
" .set_ylabel(\"Average (abs) point difference\")\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the standard error is large. So we can't say anything about the differences.\n",
"Let's look country by country."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"df_all[\"difference_non_abs\"] = df_all[\"home_score\"] - df_all[\"away_score\"]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us first loook at a Pivot table with a sum of this, broken down by year."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(\n",
" df_all.pivot_table(\"difference_non_abs\", \"home_team\")\n",
" .rename_axis(\"Home_Team\")\n",
" .plot(kind=\"bar\", rot=0, legend=False)\n",
" .set_ylabel(\"Score difference Home team and away team\")\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can see that Italy and Scotland have negative scores on average. You can also see that England, Ireland and Wales have been the strongest teams lately at home."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(\n",
" df_all.pivot_table(\"difference_non_abs\", \"away_team\")\n",
" .rename_axis(\"Away_Team\")\n",
" .plot(kind=\"bar\", rot=0, legend=False)\n",
" .set_ylabel(\"Score difference Home team and away team\")\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This indicates that Italy, Scotland and France all have poor away from home form.\n",
"England suffers the least when playing away from home. This aggregate view doesn't take into account the strength of the teams."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us look a bit more at a timeseries plot of the average of the score difference over the year.\n",
"\n",
"We see some changes in team behaviour, and we also see that Italy is a poor team."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = sns.FacetGrid(df_all, col=\"away_team\", col_wrap=2, height=5)\n",
"g = g.map(plt.scatter, \"year\", \"difference_non_abs\").set_axis_labels(\"Year\", \"Score Difference\")\n",
"g.fig.autofmt_xdate()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can see some interesting things here like Wales were good away from home in 2015.\n",
"In that year they won three games away from home and won by 40 points or so away from home to Italy.\n",
"\n",
"So now we've got a feel for the data, we can proceed on with describing the model."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### What assumptions do we know for our 'generative story'?\n",
"\n",
"* We know that the Six Nations in Rugby only has 6 teams - they each play each other once\n",
"* We have data from the last few years\n",
"* We also know that in sports scoring is modelled as a Poisson distribution\n",
"* We consider home advantage to be a strong effect in sports"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The model.\n",
"\n",
"The league is made up by a total of T= 6 teams, playing each other once\n",
"in a season. We indicate the number of points scored by the home and the away team in the g-th game of the season (15 games) as $y_{g1}$ and $y_{g2}$ respectively. \n",
"The vector of observed counts $\\mathbb{y} = (y_{g1}, y_{g2})$ is modelled as independent Poisson:\n",
"$y_{gi}| \\theta_{gj} \\tilde\\;\\; Poisson(\\theta_{gj})$\n",
"where the theta parameters represent the scoring intensity in the g-th game for the team playing at home (j=1) and away (j=2), respectively."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We model these parameters according to a formulation that has been used widely in the statistical literature, assuming a log-linear random effect model:\n",
"$$log \\theta_{g1} = home + att_{h(g)} + def_{a(g)} $$\n",
"$$log \\theta_{g2} = att_{a(g)} + def_{h(g)}$$\n",
"\n",
"\n",
"* The parameter home represents the advantage for the team hosting the game and we assume that this effect is constant for all the teams and throughout the season\n",
"* The scoring intensity is determined jointly by the attack and defense ability of the two teams involved, represented by the parameters att and def, respectively\n",
"\n",
"* Conversely, for each t = 1, ..., T, the team-specific effects are modelled as exchangeable from a common distribution:\n",
"\n",
"* $att_{t} \\; \\tilde\\;\\; Normal(\\mu_{att},\\tau_{att})$ and $def_{t} \\; \\tilde\\;\\;Normal(\\mu_{def},\\tau_{def})$\n",
"\n",
"* We did some munging above and adjustments of the data to make it **tidier** for our model.\n",
"* The log function to away scores and home scores is a standard trick in the sports analytics literature"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Building of the model\n",
"We now build the model in PyMC, specifying the global parameters, the team-specific parameters and the likelihood function"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"plt.rcParams[\"figure.constrained_layout.use\"] = True\n",
"home_idx, teams = pd.factorize(df_all[\"home_team\"], sort=True)\n",
"away_idx, _ = pd.factorize(df_all[\"away_team\"], sort=True)\n",
"coords = {\"team\": teams}"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"/home/oriol/miniconda3/envs/arviz/lib/python3.9/site-packages/pymc/pytensorf.py:1005: UserWarning: The parameter 'updates' of pytensor.function() expects an OrderedDict, got . Using a standard dictionary here results in non-deterministic behavior. You should use an OrderedDict if you are using Python 2.7 (collections.OrderedDict for older python), or use a list of (shared, update) pairs. Do not just convert your dictionary to this type before the call as the conversion will still be non-deterministic.\n",
" pytensor_function = pytensor.function(\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [home, sd_att, sd_def, intercept, atts_star, defs_star]\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
"
"
],
"text/plain": [
"\n",
"array([ 0.25676819, -0.08392998, 0.10809197, -0.33498374, -0.11633869,\n",
" 0.17182582])\n",
"Coordinates:\n",
" * team (team) "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(figsize=(12, 6))\n",
"\n",
"ax.scatter(teams, trace.posterior[\"atts\"].median(dim=(\"chain\", \"draw\")), color=\"C0\", alpha=1, s=100)\n",
"ax.vlines(\n",
" teams,\n",
" trace_hdi[\"atts\"].sel({\"hdi\": \"lower\"}),\n",
" trace_hdi[\"atts\"].sel({\"hdi\": \"higher\"}),\n",
" alpha=0.6,\n",
" lw=5,\n",
" color=\"C0\",\n",
")\n",
"ax.set_xlabel(\"Teams\")\n",
"ax.set_ylabel(\"Posterior Attack Strength\")\n",
"ax.set_title(\"HDI of Team-wise Attack Strength\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is one of the powerful things about Bayesian modelling, we can have *uncertainty quantification* of some of our estimates.\n",
"We've got a Bayesian credible interval for the attack strength of different countries.\n",
"\n",
"We can see an overlap between Ireland, Wales and England which is what you'd expect since these teams have won in recent years.\n",
"\n",
"Italy is well behind everyone else - which is what we'd expect and there's an overlap between Scotland and France which seems about right.\n",
"\n",
"There are probably some effects we'd like to add in here, like weighting more recent results more strongly.\n",
"However that'd be a much more complicated model."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"# subclass arviz labeller to omit the variable name\n",
"class TeamLabeller(az.labels.BaseLabeller):\n",
" def make_label_flat(self, var_name, sel, isel):\n",
" sel_str = self.sel_to_str(sel, isel)\n",
" return sel_str"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = az.plot_forest(trace, var_names=[\"atts\"], labeller=TeamLabeller())\n",
"ax[0].set_title(\"Team Offense\");"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = az.plot_forest(trace, var_names=[\"defs\"], labeller=TeamLabeller())\n",
"ax[0].set_title(\"Team Defense\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Good teams like Ireland and England have a strong negative effect defense. Which is what we expect. We expect our strong teams to have strong positive effects in attack and strong negative effects in defense."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This approach that we're using of looking at parameters and examining them is part of a good statistical workflow.\n",
"We also think that perhaps our priors could be better specified. However this is beyond the scope of this article.\n",
"We recommend for a good discussion of 'statistical workflow' you visit [Robust Statistical Workflow with RStan](http://mc-stan.org/users/documentation/case-studies/rstan_workflow.html)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's do some other plots. So we can see our range for our defensive effect.\n",
"I'll print the teams below too just for reference"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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