{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import pandas as pd\n",
"\n",
"import sys, os\n",
"sys.path.insert(0, os.path.abspath('../scripts/'))\n",
"import footyviz"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Loading Data\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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" \n",
" \n",
" | \n",
" | \n",
" bgcolor | \n",
" dx | \n",
" dy | \n",
" edgecolor | \n",
" player | \n",
" player_num | \n",
" team | \n",
" x | \n",
" y | \n",
" z | \n",
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\n",
" \n",
" play | \n",
" frame | \n",
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" Leicester 0 - [3] Liverpool | \n",
" 120 | \n",
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" white | \n",
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" defense | \n",
" 98.724826 | \n",
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" \n",
" 124 | \n",
" blue | \n",
" 0.0 | \n",
" 0.0 | \n",
" white | \n",
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" defense | \n",
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"text/plain": [
" bgcolor dx dy edgecolor player \\\n",
"play frame \n",
"Leicester 0 - [3] Liverpool 120 blue 0.0 0.0 white 10267 \n",
" 121 blue 0.0 0.0 white 10267 \n",
" 122 blue 0.0 0.0 white 10267 \n",
" 123 blue 0.0 0.0 white 10267 \n",
" 124 blue 0.0 0.0 white 10267 \n",
"\n",
" player_num team x y \\\n",
"play frame \n",
"Leicester 0 - [3] Liverpool 120 NaN defense 98.724826 53.720353 \n",
" 121 NaN defense 98.724826 53.720353 \n",
" 122 NaN defense 98.724826 53.720353 \n",
" 123 NaN defense 98.724826 53.720353 \n",
" 124 NaN defense 98.724826 53.720353 \n",
"\n",
" z \n",
"play frame \n",
"Leicester 0 - [3] Liverpool 120 0.0 \n",
" 121 0.0 \n",
" 122 0.0 \n",
" 123 0.0 \n",
" 124 0.0 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = pd.read_csv('../datasets/positional_data/liverpool_2019.csv', index_col=('play', 'frame'))\n",
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['Liverpool [3] - 0 Bournemouth', 'Bayern 0 - [1] Liverpool',\n",
" 'Fulham 0 - [1] Liverpool', 'Southampton 1 - [2] Liverpool',\n",
" 'Liverpool [2] - 0 Porto', 'Porto 0 - [2] Liverpool',\n",
" 'Liverpool [4] - 0 Barcelona', 'Liverpool [1] - 0 Wolves',\n",
" 'Liverpool [3] - 0 Norwich', 'Liverpool [2] - 1 Chelsea',\n",
" 'Liverpool [2] - 1 Newcastle', 'Liverpool [2] - 0 Salzburg',\n",
" 'Genk 0 - [3] Liverpool', 'Liverpool [2] - 0 Man City',\n",
" 'Liverpool [1] - 0 Everton', 'Liverpool [2] - 0 Everton',\n",
" 'Bournemouth 0 - 3 Liverpool', 'Liverpool [1] - 0 Watford',\n",
" 'Leicester 0 - [3] Liverpool'],\n",
" dtype='object', name='play')"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#list of goals included in the dataset\n",
"data.index.get_level_values('play').unique()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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" player_num | \n",
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" red | \n",
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"text/plain": [
" bgcolor dx dy edgecolor player player_num team \\\n",
"frame \n",
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" x y z \n",
"frame \n",
"134 81.482130 56.912439 0.0 \n",
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},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"play = 'Liverpool [4] - 0 Barcelona'\n",
"df = data.loc[play]\n",
"df.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Basic Plotting\n",
"\n",
"You may have noticed I picked an interesting goal. It was my favorite football moment from 2019: a simple corner taken quickly."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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