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Ordinals in openskill.py explained.
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"cell_type": "markdown",
"source": [
"# Ordinals Explained\n",
"Why does the [`ordinal`](https://openskillpy.readthedocs.io/en/stable/api/openskill.html#openskill.rate.ordinal) function not reflect the ranks passed into [`rate`](https://openskillpy.readthedocs.io/en/stable/api/openskill.html#openskill.rate.rate)? Consider for instance the example below:"
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"cell_type": "markdown",
"source": [
"## Example"
],
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"cell_type": "code",
"source": [
"!pip install openskill\n",
"!pip install pandas\n",
"!pip install matplotlib\n",
"!pip install numpy"
],
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"base_uri": "https://localhost:8080/",
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"text": [
"Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
"Requirement already satisfied: openskill in /usr/local/lib/python3.7/dist-packages (2.5.0)\n",
"Requirement already satisfied: scipy in /usr/local/lib/python3.7/dist-packages (from openskill) (1.7.3)\n",
"Requirement already satisfied: numpy<1.23.0,>=1.16.5 in /usr/local/lib/python3.7/dist-packages (from scipy->openskill) (1.21.6)\n",
"Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
"Requirement already satisfied: pandas in /usr/local/lib/python3.7/dist-packages (1.3.5)\n",
"Requirement already satisfied: numpy>=1.17.3 in /usr/local/lib/python3.7/dist-packages (from pandas) (1.21.6)\n",
"Requirement already satisfied: pytz>=2017.3 in /usr/local/lib/python3.7/dist-packages (from pandas) (2022.5)\n",
"Requirement already satisfied: python-dateutil>=2.7.3 in /usr/local/lib/python3.7/dist-packages (from pandas) (2.8.2)\n",
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"Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
"Requirement already satisfied: matplotlib in /usr/local/lib/python3.7/dist-packages (3.2.2)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (1.4.4)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (0.11.0)\n",
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"Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (2.8.2)\n",
"Requirement already satisfied: numpy>=1.11 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (1.21.6)\n",
"Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from kiwisolver>=1.0.1->matplotlib) (4.1.1)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.1->matplotlib) (1.15.0)\n",
"Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
"Requirement already satisfied: numpy in /usr/local/lib/python3.7/dist-packages (1.21.6)\n"
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"cell_type": "code",
"source": [
"# Import openskill.py and plotting libraries.\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import numpy as np\n",
"from scipy.stats import norm\n",
"from openskill import Rating, rate, ordinal, predict_win, predict_draw\n",
"\n",
"# Initialize Default/Starter Rating\n",
"r = Rating()"
],
"metadata": {
"id": "yiTBKqQdZPB-"
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"execution_count": 2,
"outputs": []
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{
"cell_type": "markdown",
"source": [
"Let's start with a simple case of what we know should work. Which is that ranks passed in will reflect the values of ordinals:\n"
],
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{
"cell_type": "code",
"source": [
"# Relevant Code\n",
"result = rate(teams=[[r], [r], [r], [r]], rank=[1, 2, 3, 4])\n",
"\n",
"# DataFrame Code\n",
"df = pd.DataFrame([_[0].__dict__ for _ in result])\n",
"df['ordinal'] = [ordinal(_[0]) for _ in result]\n",
"df"
],
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" mu sigma ordinal\n",
"0 27.795085 8.263161 3.005603\n",
"1 26.552825 8.179214 2.015184\n",
"2 24.689435 8.083731 0.438241\n",
"3 20.962655 8.083731 -3.288539"
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"metadata": {},
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{
"cell_type": "markdown",
"source": [
"Let's visualize the distributions of the 4 skills."
],
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"id": "dq0SfS_xkXY4"
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{
"cell_type": "code",
"source": [
"visualization_data = np.arange(-25, 75, 0.001)\n",
"fig = plt.figure(figsize=(10, 8), dpi=80)\n",
"fig.patch.set_facecolor('grey')\n",
"df.apply(lambda row: plt.plot(visualization_data, norm.pdf(visualization_data, row['mu'], row['sigma']), label=f\"μ: {row['mu']: 0.2f}, σ: {row['sigma']: 0.2f}\"), axis=1)\n",
"plt.legend(title='Parameters')"
],
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"<Figure size 800x640 with 1 Axes>"
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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"You may have already noticed from the distributions of the system's assesment of playeys skills that the lower ranked players are shifted from to the left from the mean.\n",
"\n",
"Let's try visualizing an edge case. First let's see the ordinals from a tied game with 5 players"
],
"metadata": {
"id": "V2Ga0vrHm01K"
}
},
{
"cell_type": "code",
"source": [
"# Relevant Code - 5 Players with Ties\n",
"result = rate(teams=[[r], [r], [r], [r], [r]], rank=[1, 2, 3, 2, 4])\n",
"\n",
"# DataFrame Code\n",
"df = pd.DataFrame([_[0].__dict__ for _ in result])\n",
"df['ordinal'] = [ordinal(_[0]) for _ in result]\n",
"df"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "lQVqfn1gnjJT",
"outputId": "4540e142-cf89-41c4-f46e-cc79ee473e76"
},
"execution_count": 24,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" mu sigma ordinal\n",
"0 27.666667 8.290557 2.794996\n",
"1 25.166667 8.240146 0.446230\n",
"2 25.166667 8.172447 0.649326\n",
"3 25.166667 8.240146 0.446230\n",
"4 21.833333 8.172447 -2.684007"
],
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" <th>ordinal</th>\n",
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" <th>0</th>\n",
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" <td>8.290557</td>\n",
" <td>2.794996</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>25.166667</td>\n",
" <td>8.240146</td>\n",
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" <tr>\n",
" <th>2</th>\n",
" <td>25.166667</td>\n",
" <td>8.172447</td>\n",
" <td>0.649326</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>25.166667</td>\n",
" <td>8.240146</td>\n",
" <td>0.446230</td>\n",
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" <tr>\n",
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"\n",
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]
},
"metadata": {},
"execution_count": 24
}
]
},
{
"cell_type": "markdown",
"source": [
"Unusual! Player at index 2 has a greater ordinal even though the player is lower in rank. Okay, maybe the ditribution plots give more explanation?"
],
"metadata": {
"id": "F6qRDBSIn9rV"
}
},
{
"cell_type": "code",
"source": [
"visualization_data = np.arange(-25, 75, 0.001)\n",
"fig = plt.figure(figsize=(10, 8), dpi=80)\n",
"fig.patch.set_facecolor('grey')\n",
"df.apply(lambda row: plt.plot(visualization_data, norm.pdf(visualization_data, row['mu'], row['sigma']), label=f\"μ: {row['mu']: 0.2f}, σ: {row['sigma']: 0.2f}\"), axis=1)\n",
"plt.legend(title='Parameters')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 551
},
"id": "NbV6GRwGorzh",
"outputId": "d1a10c9e-d724-4651-b6a8-af1c94ade4e1"
},
"execution_count": 25,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f3e4d644a90>"
]
},
"metadata": {},
"execution_count": 25
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x640 with 1 Axes>"
],
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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"It looks like players at index 1, 2 and 3, they have almost indentical means. So they overlap each other quite a bit. But if you have a keen eye, you will notice that the green line representing player at index 2 has a higher peak (also known as negative kurtosis in literature). This means the system is overall more confident in player at index 2's skill.\n",
"\n",
"By default the value of an ordinal is determined by the fomula '$μ - 3σ$' which by the [empirical rule](https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule) only allows for the system to be confident upto 99.7%. As such when $σ$ is still high such as when players have played few games will lead to the overal ordinal fluctuating.\n",
"\n",
"You can curtail this effect for large numbers of matches by using the \"Additive Dynamics Factor\" feature of this library."
],
"metadata": {
"id": "-sTGsq5upKOa"
}
}
]
}
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