{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "hWkAAtGVhLRT" }, "source": [ "# Lecture 7: More statistics\n", "\n", "[Data Visualization · 1-DAV-105](http://bbrejova.github.io/viz/)\n", "\n", "Lecture by Broňa Brejová" ] }, { "cell_type": "markdown", "metadata": { "id": "hFS2_m14U0Gh" }, "source": [ "## Importing libraries and data\n", "\n", "As usual, we start by importing libraries. We add [`scipy.stats`](https://docs.scipy.org/doc/scipy/reference/stats.html) library for working with probability distributions. At the end of the lecture we add [scikit-learn library](https://scikit-learn.org/stable/index.html) for machine learning in Python." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "WvzXg0ugJuwy" }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import plotly.express as px\n", "from IPython.display import Markdown\n", "\n", "import scipy.stats" ] }, { "cell_type": "markdown", "metadata": { "id": "cIOU-0HSJdT-" }, "source": [ "In this lecture, we will use the World bank dataset from Lecture 03 (table `countries`) downloaded from WorldBank https://databank.worldbank.org/home under CC BY 4.0 license.\n", "\n", "We will also work with an informal survey of preferences and opinions of young people done in 2013 among students of FSEV UK and their friends. The dataset was downloaded from . The columns correspond to survey questions, rows to respondents. The list of questions and the meaning of responses is given in [this document](https://bbrejova.github.io/viz/data/fsev-columns.txt). " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 64 }, "executionInfo": { "elapsed": 3972, "status": "ok", "timestamp": 1618302250972, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "623dTDYTJY-Z", "outputId": "521097bb-e7ee-48d8-eea1-51620c3da9ef" }, "outputs": [ { "data": { "text/markdown": [ "**Size of fsev table:**" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(1010, 150)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "url = 'https://bbrejova.github.io/viz/data/fsev-responses.csv'\n", "fsev = pd.read_csv(url)\n", "display(Markdown(\"**Size of fsev table:**\"), fsev.shape)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 320 }, "executionInfo": { "elapsed": 7494, "status": "ok", "timestamp": 1618302214806, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "VSQ9nG-L0wLb", "outputId": "43c9239a-88e0-4e8d-ef57-efb43c1e21bf" }, "outputs": [ { "data": { "text/html": [ "
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Population2000Population2010Population2020AreaGDP2000GDP2010GDP2020Expectancy2000Expectancy2010Expectancy2020Fertility2000Fertility2010Fertility2020
count2.170000e+022.170000e+022.170000e+022.160000e+02199.000000209.000000210.000000211.000000210.000000209.000000211.000000211.000000211.000000
mean2.821267e+073.201312e+073.592913e+076.235930e+058292.85072916135.52839717547.13507267.35858870.58005272.3096993.2110212.8909082.525145
std1.157060e+081.282292e+081.398323e+081.828856e+0613036.32003224118.15612526171.5484549.7955158.8319707.4827001.7169511.4902871.273400
min9.638000e+031.024100e+041.106900e+041.000000e+01122.961660222.660583216.82741744.51800045.59600052.7770000.9120001.0420000.837000
25%6.049510e+057.055170e+057.972020e+051.122250e+04654.6388401706.4149172262.24689661.36200064.48075066.7970001.8400001.7650001.557500
50%5.056174e+065.768613e+066.579900e+061.017050e+051996.5155785735.4228576370.90353270.41707372.81050072.8890002.6600002.3400002.040000
75%1.639406e+072.112004e+072.564925e+074.786050e+0510721.26276121447.85825522805.26114274.50500077.57859878.0410004.3950003.8270003.257000
max1.262645e+091.337705e+091.411100e+091.709825e+0781763.827669161780.745361182537.38737081.37000083.10900085.4975617.7320007.4850006.892000
\n", "
" ], "text/plain": [ " Population2000 Population2010 Population2020 Area \\\n", "count 2.170000e+02 2.170000e+02 2.170000e+02 2.160000e+02 \n", "mean 2.821267e+07 3.201312e+07 3.592913e+07 6.235930e+05 \n", "std 1.157060e+08 1.282292e+08 1.398323e+08 1.828856e+06 \n", "min 9.638000e+03 1.024100e+04 1.106900e+04 1.000000e+01 \n", "25% 6.049510e+05 7.055170e+05 7.972020e+05 1.122250e+04 \n", "50% 5.056174e+06 5.768613e+06 6.579900e+06 1.017050e+05 \n", "75% 1.639406e+07 2.112004e+07 2.564925e+07 4.786050e+05 \n", "max 1.262645e+09 1.337705e+09 1.411100e+09 1.709825e+07 \n", "\n", " GDP2000 GDP2010 GDP2020 Expectancy2000 \\\n", "count 199.000000 209.000000 210.000000 211.000000 \n", "mean 8292.850729 16135.528397 17547.135072 67.358588 \n", "std 13036.320032 24118.156125 26171.548454 9.795515 \n", "min 122.961660 222.660583 216.827417 44.518000 \n", "25% 654.638840 1706.414917 2262.246896 61.362000 \n", "50% 1996.515578 5735.422857 6370.903532 70.417073 \n", "75% 10721.262761 21447.858255 22805.261142 74.505000 \n", "max 81763.827669 161780.745361 182537.387370 81.370000 \n", "\n", " Expectancy2010 Expectancy2020 Fertility2000 Fertility2010 \\\n", "count 210.000000 209.000000 211.000000 211.000000 \n", "mean 70.580052 72.309699 3.211021 2.890908 \n", "std 8.831970 7.482700 1.716951 1.490287 \n", "min 45.596000 52.777000 0.912000 1.042000 \n", "25% 64.480750 66.797000 1.840000 1.765000 \n", "50% 72.810500 72.889000 2.660000 2.340000 \n", "75% 77.578598 78.041000 4.395000 3.827000 \n", "max 83.109000 85.497561 7.732000 7.485000 \n", "\n", " Fertility2020 \n", "count 211.000000 \n", "mean 2.525145 \n", "std 1.273400 \n", "min 0.837000 \n", "25% 1.557500 \n", "50% 2.040000 \n", "75% 3.257000 \n", "max 6.892000 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "url = 'https://bbrejova.github.io/viz/data/World_bank.csv'\n", "countries = pd.read_csv(url).set_index('Country')\n", "display(countries.describe())" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "**Values of life expectancy in 2020 in individual countries:**" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "Country\n", "Afghanistan 62.575000\n", "Albania 76.989000\n", "Algeria 74.453000\n", "Angola 62.261000\n", "Antigua and Barbuda 78.841000\n", " ... \n", "Virgin Islands 79.819512\n", "West Bank and Gaza 74.403000\n", "Yemen 64.650000\n", "Zambia 62.380000\n", "Zimbabwe 61.124000\n", "Name: Expectancy2020, Length: 209, dtype: float64" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(Markdown(\"**Values of life expectancy in 2020 in individual countries:**\"))\n", "display(countries['Expectancy2020'].dropna())" ] }, { "cell_type": "markdown", "metadata": { "id": "_i3KBIF686PR" }, "source": [ "## Histograms\n", "\n", "Histograms are well known, and we have seen them in Lecture 03. We split the range of a variable into equally sized bins, count the number of data points in each bin and plot the counts as a bar graph.\n", "\n", "Histograms allow us to observe many aspects of the distribution of values of a variable:\n", "\n", "* range of values, outliers\n", "* central tendency\n", "* unimodality / multimodality\n", "* variance\n", "* symmetry / skewness (šikmosť)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 281 }, "executionInfo": { "elapsed": 7731, "status": "ok", "timestamp": 1618302215051, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "ssVviGl385S8", "outputId": "ed77fcc0-9e82-4cf6-a0b9-bd3b288ce697" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = sns.histplot(data=countries, x='Expectancy2020')\n", "axes.set_title('Life expectancy of world countries in 2020')\n", "axes.set_xlabel(None)\n", "axes.figure.set_size_inches(5, 3)\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "AWdmZVTJ9Kci" }, "source": [ "### Custom bins\n", "\n", "* Seaborn library makes bins by splitting the range into equally sized intervals, but perhaps a more meaningful plot uses round values at bin boundaries, e.g. intervals of 5 years 50-55, 55-60, 60-65,... \n", "* We can use manually created bin boundaries in Seaborn. \n", "* Plotly library tries to create more meaningful bins by default." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 241 }, "executionInfo": { "elapsed": 11431, "status": "ok", "timestamp": 1618302218764, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "Ia9T5ityysuL", "outputId": "869ddb36-8a3a-4d30-c760-a59a24ccbd77" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a figure with two plots\n", "figure, axes = plt.subplots(1, 2, figsize=(8,2.5), sharey=True)\n", "\n", "# the first plot has histogram with default bins of width 5\n", "sns.histplot(data=countries, x='Expectancy2020', binwidth=5, ax=axes[0])\n", "axes[0].set_title('Default bins')\n", "\n", "# the second plot has manually set bin boundaries 50,55,60,...,90\n", "sns.histplot(data=countries, x='Expectancy2020', \n", " bins=range(50, 95, 5), ax=axes[1])\n", "axes[1].set_title('Manually created bins')\n", "pass" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 367 }, "executionInfo": { "elapsed": 12339, "status": "ok", "timestamp": 1618302219679, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "pLGPcSdV9u4S", "outputId": "efe4a332-21e1-44f0-b73d-20875c176765" }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "bingroup": "x", "hovertemplate": "Expectancy2020=%{x}
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"title": { "text": "count" } } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In Plotly, we specify the maximum number of bins. \n", "# The library may choose a lower number to get \"nice\" bin boundaries\n", "fig = px.histogram(countries, x=\"Expectancy2020\", \n", " nbins=8, width=500, height=350)\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "sFC748Dn9VP7" }, "source": [ "### Use equally-sized bins\n", "\n", "Manually created bin boundaries can be arbitrary, but if bin width is unequal, the resulting plot is confusing." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 295 }, "executionInfo": { "elapsed": 12629, "status": "ok", "timestamp": 1618302219977, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = sns.histplot(data=countries, x='Expectancy2020', \n", " bins=[50, 60, 70, 75, 80, 90])\n", "axes.set_title('A confusing histogram with different bin sizes')\n", "axes.figure.set_size_inches(5, 3)\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you really need special bins (e.g. age <18 years, 18-65 years, >65 years), make a categorical variable, then plot it as a bar graph (typically displayed as bars with equal width, spaces between bars), and clearly mark the meaning of each bar." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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f/ape4VkfL7zwgmw2m2JiYlRZWano6GgtW7bM2e/p6an09HQlJCQoMjJSvr6+iouL09y5cxvl+AAAXEqDwvP8+fN1rnKVpKCgoHp/bHsp//jHP1zWvb29tXTpUi1duvSy23Tt2lUffPBBg48JAIBVDfrOMzIyUs8884wqKiqcbRcuXNCcOXOc30cCANBcNWjmuXjxYo0cOVKdO3dWnz59JEl5eXmy2+3auHFjoxYIAEBT06Dw7N27t44cOaK1a9fq888/lyQ9+OCDio2NlY+PT6MWCABAU9Og8ExNTZXD4dDEiRNd2leuXKlvvvlGM2bMaJTiAABoihr0necrr7yiHj161Gnv1auX0tLSrrooAACasgaFZ2FhoUJCQuq0d+rUSadOnbrqogAAaMoaFJ5hYWHavn17nfbt27crNDT0qosCAKApa9B3nhMnTtTkyZNVXV2t4cOHS5KysrI0ffp0TZ06tVELBACgqWlQeE6bNk3//ve/9dvf/tb50Glvb2/NmDFDycnJjVogAABNTYPC08PDQwsWLNCsWbOUn58vHx8fde/end+TBQC0CFf1SDI/Pz8NGjSosWoBAOCG0KALhgAAaMkITwAALCI8AQCwiPAEAMAiwhMAAIsITwAALCI8AQCwiPAEAMAiwhMAAIsITwAALCI8AQCwiPAEAMAiwhMAAIsITwAALCI8AQCwiPAEAMAiwhMAAIsITwAALCI8AQCwiPAEAMAiwhMAAIsITwAALCI8AQCwiPAEAMAiwhMAAIsITwAALCI8AQCwiPAEAMAiwhMAAIsITwAALCI8AQCwiPAEAMAiwhMAAItaubuAG9mAaX92dwm4jJznxru7BADNmFtnnqmpqRo0aJDatm2roKAgjR49WgUFBS5jKioqlJiYqMDAQPn5+SkmJkZFRUUuY44fP65Ro0apTZs2CgoK0rRp03Tx4sXreSoAgBbEreG5ZcsWJSYmaseOHcrMzFR1dbXuvvtulZeXO8c8+eSTeu+99/T2229ry5YtOnnypB544AFnf01NjUaNGqWqqip9+umnWrNmjVavXq3Zs2e745QAAC2AWz+2zcjIcFlfvXq1goKClJOTozvvvFMlJSVasWKF1q1bp+HDh0uSVq1apZ49e2rHjh0aMmSINm7cqEOHDunjjz+Ww+FQ3759NW/ePM2YMUN/+MMf5OXl5Y5TAwA0Y03qgqGSkhJJUocOHSRJOTk5qq6uVlRUlHNMjx491KVLF2VnZ0uSsrOz1bt3bzkcDueY6OholZaW6uDBg5c8TmVlpUpLS10WAADqq8mEZ21trSZPnqxhw4bptttukyQVFhbKy8tL7dq1cxnrcDhUWFjoHPPd4Py2/9u+S0lNTVVAQIBzCQsLa+SzAQA0Z00mPBMTE3XgwAG9+eab1/xYycnJKikpcS4nTpy45scEADQfTeJWlaSkJKWnp2vr1q3q3Lmzsz04OFhVVVUqLi52mX0WFRUpODjYOWbXrl0u+/v2atxvx3yf3W6X3W5v5LMAALQUbp15GmOUlJSk9evXa9OmTerWrZtL/4ABA9S6dWtlZWU52woKCnT8+HFFRkZKkiIjI7V//36dPn3aOSYzM1P+/v6KiIi4PicCAGhR3DrzTExM1Lp16/Tuu++qbdu2zu8oAwIC5OPjo4CAAE2YMEFTpkxRhw4d5O/vr9/97neKjIzUkCFDJEl33323IiIi9PDDD2vhwoUqLCzU008/rcTERGaXAIBrwq3huXz5cknSXXfd5dK+atUqPfLII5KkF154QTabTTExMaqsrFR0dLSWLVvmHOvp6an09HQlJCQoMjJSvr6+iouL09y5c6/XaQAAWhi3hqcx5gfHeHt7a+nSpVq6dOllx3Tt2lUffPBBY5YGAMBlNZmrbQEAuFEQngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABYRngAAWER4AgBgEeEJAIBFhCcAABY1m/BcunSpbr75Znl7e2vw4MHatWuXu0sCADRTzSI833rrLU2ZMkXPPPOM9uzZoz59+ig6OlqnT592d2kAgGaoWYTnokWLNHHiRD366KOKiIhQWlqa2rRpo5UrV7q7NABAM9TK3QVcraqqKuXk5Cg5OdnZZrPZFBUVpezs7EtuU1lZqcrKSud6SUmJJKm0tNTSsWsqLzSgYlwPVl/LhuI90HRdr/cAmo9v3zPGmB8ce8OH57/+9S/V1NTI4XC4tDscDn3++eeX3CY1NVVz5syp0x4WFnZNasT1F/DS/3F3CXAz3gNoqHPnzikgIOCKY2748GyI5ORkTZkyxbleW1urM2fOKDAwUB4eHm6szD1KS0sVFhamEydOyN/f393lwA14D0DifWCM0blz5xQaGvqDY2/48OzYsaM8PT1VVFTk0l5UVKTg4OBLbmO322W3213a2rVrd61KvGH4+/u3yH8w+P94D0Bq2e+DH5pxfuuGv2DIy8tLAwYMUFZWlrOttrZWWVlZioyMdGNlAIDm6oafeUrSlClTFBcXp4EDB+qOO+7Q4sWLVV5erkcffdTdpQEAmqFmEZ5jx47VN998o9mzZ6uwsFB9+/ZVRkZGnYuIcGl2u13PPPNMnY+y0XLwHoDE+8AKD1Ofa3IBAIDTDf+dJwAA1xvhCQCARYQnAAAWEZ4AAFhEeLZwKSkpGjp0qNq0aXPZH4rYvXu3RowYoXbt2ql9+/aKjo5WXl7e9S0Ul7V161bdd999Cg0NlYeHh/7+97+79JeVlSkpKUmdO3eWj4+P8+EJ9fH+++9r8ODB8vHxUfv27TV69GiXfg8PjzrLm2++2UhnhuuJ19oawrMFOnv2rMrKyiT954f1x4wZo4SEhEuOLSsr08iRI9WlSxft3LlT27ZtU9u2bRUdHa3q6urrWTYuo7y8XH369NHSpUsv2T9lyhRlZGTo9ddfV35+viZPnqykpCRt2LDhivt955139PDDD+vRRx9VXl6etm/frl//+td1xq1atUqnTp1yLt//ny7c4+TJk7p48WK9xvJaN4BBi1BdXW3S09PNL3/5S2O3283evXtd+letWmUCAgLqbLd7924jyRw/ftzZtm/fPiPJHDly5FqXDYskmfXr17u09erVy8ydO9elrX///uapp5667H6qq6vNTTfdZP7nf/7H8vHQNPzhD38wDofDTJ061ezbt++y43itG4aZZzO3f/9+TZ06VZ07d9b48ePVqVMnbd68WX369KnX9uHh4QoMDNSKFStUVVWlCxcuaMWKFerZs6duvvnma1s8GsXQoUO1YcMGff311zLGaPPmzTp8+LDuvvvuy26zZ88eff3117LZbOrXr59CQkJ0zz336MCBA3XGJiYmqmPHjrrjjju0cuXKej3OCdfejBkz9OKLLyo/P1/9+/dX//79tWTJEn3zzTcu43itG8jN4Y1r4F//+pdZvHix6devn/Hy8jKjR48277zzjqmsrLzsNpebeRpjzP79+82PfvQjY7PZjM1mM+Hh4eaLL764RtXjaugSs4OKigozfvx4I8m0atXKeHl5mTVr1lxxP2+88YaRZLp06WL+9re/mc8++8w8+OCDJjAw0Pz73/92jps7d67Ztm2b2bNnj3n22WeN3W43L7744rU4NVyFoqIi88ILL5h+/fqZ1q1bm/vvv9/87//+r6murua1biDCsxl65plnjCTz05/+1OXj1iu5XHieP3/e3HHHHWb8+PFm165dJjs728TExJhevXqZ8+fPN3LluFqXCs/nnnvO/PjHPzYbNmwweXl55qWXXjJ+fn4mMzPTGGPM448/bnx9fZ2LMcasXbvWSDKvvPKKcz8VFRWmY8eOJi0t7bLHnzVrluncuXPjnxgazQcffGCCgoKMJJObm8tr3UB8bNsMxcfHa968eSosLFSvXr306KOPatOmTaqtrbW8r3Xr1umLL77QqlWrNGjQIA0ZMkTr1q3TsWPH9O67716D6tGYLly4oP/+7//WokWLdN999+n2229XUlKSxo4dqz/96U+SpLlz52rv3r3ORZJCQkIkSREREc592e123XLLLTp+/Phljzd48GB99dVXqqysvHYnBcvOnTunVatWafjw4brvvvt02223ac2aNYqIiOC1biDCsxkKDQ3V008/rcOHDysjI0NeXl564IEH1LVrV82cOVMHDx6s977Onz8vm83m8pDwb9cbEsa4vqqrq1VdXS2bzfWfuqenp/P1CwoK0q233upcJGnAgAGy2+0qKChw2dcXX3yhrl27XvZ4e/fuVfv27flh8SagpqZGH374oX7961/L4XDo2Wef1YgRI3T06FFlZWVp/Pjxzkc68lo3gLunvrg+Lly4YN544w0THR1tPD09nVffffnllyY3N9fMmTPH+Pn5mdzcXJObm2vOnTtnjDEmPz/f2O12k5CQYA4dOmQOHDhgHnroIRMQEGBOnjzpzlPC/3Pu3Dnn6ybJLFq0yOTm5povv/zSGGPMf/3Xf5levXqZzZs3m6NHj5pVq1YZb29vs2zZsivu94knnjA33XST+eijj8znn39uJkyYYIKCgsyZM2eMMcZs2LDBvPbaa2b//v3myJEjZtmyZaZNmzZm9uzZ1/yc8cPmzp1rAgICTHx8vNm+ffsVx/JaW0d4tkBff/21KSkpMcYYExcXZyTVWTZv3uwcv3HjRjNs2DATEBBg2rdvb4YPH26ys7PdVD2+b/PmzZd8DePi4owxxpw6dco88sgjJjQ01Hh7e5vw8HDz/PPPm9ra2ivut6qqykydOtUEBQWZtm3bmqioKHPgwAFn/4cffmj69u1r/Pz8jK+vr+nTp49JS0szNTU11/J0UU/Hjh0zFy5cqNdYXmvreCQZAAAW8Z0nAAAWEZ4AAFhEeAIAYBHhCQCARYQnAAAWEZ4AAFhEeAIAYBHhCQCARYQn0ERkZ2fL09NTo0aNcncpAH4AvzAENBG/+c1v5OfnpxUrVqigoEChoaHuLumSqqqq5OXl5e4yALdi5gk0AWVlZXrrrbeUkJCgUaNGafXq1XXGbNiwQd27d5e3t7d+9rOfac2aNfLw8FBxcbFzzLZt2/TTn/5UPj4+CgsL06RJk1ReXn7FY8+fP19BQUFq27atfvOb32jmzJnq27evs/+RRx7R6NGjlZKSotDQUIWHh0uS9u/fr+HDh8vHx0eBgYGKj49XWVmZc7u77rpLkydPdjnW6NGj9cgjjzjXb775Zs2bN08PPvigfH19ddNNN2np0qX1/rsB7kJ4Ak3AX//6V/Xo0UPh4eF66KGHtHLlSn33Q6Fjx47pl7/8pUaPHq28vDw9/vjjeuqpp1z28c9//lMjR45UTEyM9u3bp7feekvbtm1TUlLSZY+7du1apaSkaMGCBcrJyVGXLl20fPnyOuOysrJUUFCgzMxMpaenq7y8XNHR0Wrfvr12796tt99+Wx9//PEVj3U5zz33nPr06aPc3FzNnDlTTzzxhDIzMy3vB7iu3Pqz9ACMMcYMHTrULF682BhjTHV1tenYsaPLk21mzJhhbrvtNpdtnnrqKSPJnD171hhjzIQJE0x8fLzLmE8++cTYbLbLPl1j8ODBJjEx0aVt2LBhpk+fPs71uLg443A4TGVlpbPt1VdfNe3btzdlZWXOtvfff9/YbDZTWFhojPnPo9CeeOIJl33ff//9zqe9GGNM165dzciRI13GjB071txzzz2XrBdoKph5Am5WUFCgXbt26cEHH5QktWrVSmPHjtWKFStcxgwaNMhluzvuuMNlPS8vT6tXr5afn59ziY6OVm1trY4dO3bZY39/P99fl6TevXu7fM+Zn5+vPn36yNfX19k2bNgw1dbWujxUuT4iIyPrrOfn51vaB3C9tXJ3AUBLt2LFCl28eNHlAiFjjOx2u15++WUFBATUaz9lZWV6/PHHNWnSpDp9Xbp0uaoavxuS9WWz2Vw+epak6urqq6oDaCqYeQJudPHiRf35z3/W888/r7179zqXvLw8hYaG6o033pAkhYeH67PPPnPZdvfu3S7r/fv316FDh3TrrbfWWS53dWx4eHid/Xx//VJ69uypvLw8l4uRtm/fLpvN5rygqFOnTjp16pSzv6amRgcOHKizrx07dtRZ79mz5w/WALiVuz83Blqy9evXGy8vL1NcXFynb/r06WbgwIHGGGOOHj1qWrdubaZPn24KCgrMW2+9ZTp37mwkObfNy8szPj4+JjEx0eTm5prDhw+bv//973W+0/yu119/3fj4+JjVq1ebw4cPm3nz5hl/f3/Tt29f55i4uDhz//33u2xXXl5uQkJCTExMjNm/f7/ZtGmTueWWW1y+z0xLSzNt2rQx6enpJj8/30ycONH4+/vX+c7T39/fLFiwwBQUFJiXX37ZeHp6moyMjAb8NYHrh/AE3OgXv/iFuffeey/Zt3PnTiPJ5OXlGWOMeffdd82tt95q7Ha7ueuuu8zy5cuNJJeLgXbt2mV+/vOfGz8/P+Pr62tuv/12k5KScsUa5s6dazp27Gj8/PzMY489ZiZNmmSGDBni7L9UeBpjzL59+8zPfvYz4+3tbTp06GAmTpxozp075+yvqqoyCQkJpkOHDiYoKMikpqZe8oKhOXPmmDFjxpg2bdqY4OBg8+KLL9bnTwe4FT+SANygUlJSlJaWphMnTjTqfn/+858rODhYf/nLXxp1v5dy8803a/LkyXXuBwWaOi4YAm4Qy5Yt06BBgxQYGKjt27frueeea9B9ld91/vx5paWlKTo6Wp6ennrjjTf08ccfc58l8AMIT+AGceTIEc2fP19nzpxRly5dNHXqVCUnJ1/VPj08PPTBBx8oJSVFFRUVCg8P1zvvvKOoqKhGqhponvjYFgAAi7hVBQAAiwhPAAAsIjwBALCI8AQAwCLCEwAAiwhPAAAsIjwBALCI8AQAwCLCEwAAi/4vKH0TNRUxmCAAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# split participants into 3 age groups\n", "bin_ends = [0,18,65,150]\n", "bin_labels = ['<18', '18-65', '>65']\n", "age_groups = (pd.cut(fsev['Age'],\n", " bins=bin_ends, \n", " labels=bin_labels)\n", " .rename('Age group'))\n", "# count participants in each group\n", "age_counts = age_groups.value_counts()\n", "# bar plot of group sizes\n", "axes = sns.barplot(age_counts)\n", "axes.figure.set_size_inches(5,3)\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "21L9AUwU9cJW" }, "source": [ "### Removing outliers\n", "\n", "* Histograms are great for spotting outliers.\n", "* But extreme values reduce the space given to more regular values, so perhaps we want to remove them in subsequent analysis.\n", "\n", "We have several options:\n", "\n", "* Remove them from the dataset if we believe them to be errors.\n", "* Or remove them from the plot only, e.g. by `set_xlim` or by using custom bins with a smaller range. Warn the reader that some values are not shown.\n", "* Or clip values: replace values above some threshold with the threshold value (function [`clip`](https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.clip.html) in Pandas). Thus they will be present in the last bin. This bin should be then clearly marked." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 295 }, "executionInfo": { "elapsed": 13256, "status": "ok", "timestamp": 1618302220610, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "reN2csiV5FHN", "outputId": "ccc3b5aa-592e-4ad5-b201-c372d0f04723" }, "outputs": [ { "data": { "image/png": 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AR0fTjzMzM0NQUBCARxdHaZUz3pPvA05OTsq4ZQXDsxRq0qQJAODatWsAgOrVqyM7Oxvnzp1DnTp1lH6JiYlISUkptvsPa9SoAQAwNzcv0n8Eb29vbN26FcnJyfkefWpZl0qVKiElJUU1/4MHD5TtUhTPEto5vL29ATy6Irow28nb2xsjR47EyJEjce7cOTRs2BBffPEFvvvuu2eu5ccff4SVlRW2bt0KS0tLpX3p0qW5+np5eaFZs2ZYs2YNBg8ejPXr1yMkJEQ1n7e3N3bs2IEWLVoU6g+Jx926dQvR0dGYPHkyJkyYoLTnHKkXRkhICAYOHKh8dPvHH39g7Nixqj7e3t64ffv2M79Z161bF40aNcLKlStRtWpVXLp06bl/OUnO6z8hIQE1a9ZU2s+fP1+sy6lduzZq1qyJjRs3IjIyEjY2Ns88ZlZWFlatWoUKFSrglVdeKYYqjRvPeRqxXbt25fnXY855wdq1awMAXn/9dQBAZGSkqt+cOXMAAJ06dSqWepydnfHaa6/hq6++yjOgHr/tIy+hoaEQkTxvN8hZTy3r4u3tnev81ZIlS/I98iwMGxubXIGsVXBwMOzs7PD555/necN4zna6e/cu7t+/r5rm7e2NihUr5rotp6hMTU2h0+lU2+TChQvYuHFjnv27d++O33//Hd988w2SkpJUH9kCj44cs7KylI9NH/fw4cMCt13OEdKTr+kn93VB7O3tERwcjLVr12L16tWwsLBASEhIrhpjY2OxdevWXPOnpKTg4cOHhV5e7969sW3bNkRGRsLR0REdO3Ys9LxFkfOJzsKFC1XtzyO0J02ahKSkJPTv3z/P16mWI+SsrCwMHToUZ86cwdChQ/P9uLgs4ZGnERsyZAju3r2Lt956C76+vnjw4AH27duHNWvWwNPTExEREQCABg0aoG/fvliyZAlSUlLQqlUrHDhwAN9++y1CQkLyvH+vqKKiovDKK6+gXr166N+/P2rUqIHExETExsbi77//xrFjx/Kdt3Xr1ujduzfmzZuHc+fOKR/V7d27F61bt8bgwYM1rcv777+Pf/zjHwgNDUW7du1w7NgxbN26VfURnlaNGzfGokWL8Omnn8LHxwfOzs75nrvMj52dHRYtWoTevXvjpZdeQo8ePVC5cmVcunQJv/zyC1q0aIEFCxbgjz/+QNu2bREWFgY/Pz+YmZlhw4YNSExMRI8ePYq8Do/r1KkT5syZgw4dOuCdd97B9evXERUVBR8fHxw/fjxX/7CwMIwaNQqjRo2Cg4NDrqO3Vq1aYeDAgZg2bRqOHj2K9u3bw9zcHOfOncO6devw5Zdfqu4JfXK7vPrqq5g5cyYyMzNRpUoVbNu2TfO9ft27d0evXr2wcOFCBAcH5zp39tFHH+Hnn39G586d0a9fPzRu3Bh37tzBiRMn8MMPP+DChQuFfo288847GD16NDZs2IB//vOfMDc311SrVo0bN0ZoaCgiIyNx8+ZNvPzyy9i9ezf++OMPAMXzyUiOd955BydPnsS0adNw4MAB9OjRA15eXrhz5w5OnjyJ77//HhUrVlRd9AQ8Ojed86nI3bt3cf78eaxfvx5//vknevTokecfVmVSSV3mS0+3efNmeffdd8XX11dsbW3FwsJCfHx8ZMiQIZKYmKjqm5mZKZMnTxYvLy8xNzeXatWqydixY1W3lIjkfc+VyKPbPgYNGqRqy7nk/slbKf7880/p06ePuLq6irm5uVSpUkU6d+4sP/zww1PX6eHDhzJr1izx9fUVCwsLqVy5snTs2FHi4uI0r0tWVpaMGTNGnJycpEKFChIcHCznz5/P91aVgwcPqubftWtXrltxDAaDdOrUSSpWrCgAlNsS8hvj8WmP37+ZM35wcLDo9XqxsrISb29v6devnxw6dEhERJKSkmTQoEHi6+srNjY2otfrJSAgQNauXfvU7di3b1+xsbHJ1Z7XfYNff/211KxZUywtLcXX11eWLl2aZ78cLVq0eOo9gEuWLJHGjRuLtbW1VKxYUerVqyejR4+Wq1evFlj333//LW+99ZbY29uLXq+Xt99+W65evZrvbUd5SUtLE2trawEg3333XZ590tPTZezYseLj4yMWFhbi5OQkzZs3l9mzZyu3euX3+n7S66+/nuv2roIUNO6T65nXfrhz544MGjRIHBwcxNbWVkJCQpRbiXLuLX583hs3bqjmz+/1mJ+YmBjp1q2buLm5ibm5udjZ2UmTJk1k4sSJue77bdWqlQBQHra2tlKzZk3p1auXck/0k/J7zyntdCLFfPaaiKgMeeutt3DixIliP++oxdGjR9GoUSN89913CA8PL7E66H94zpOIKB/Xrl3DL7/8gt69e7+wZeb1RfGRkZEwMTHBq6+++sLqoILxnCcR0RMSEhLw22+/4T//+Q/Mzc0xcODAF7bsmTNnIi4uDq1bt4aZmRk2b96MzZs3Y8CAAbnuxaaSw/AkInrC7t27ERERAQ8PD3z77beF+tKK4tK8eXNs374dU6dOxe3bt+Hh4YFJkybhX//61wurgZ6O5zyJiIg04jlPIiIijRieREREGvGcJx59F+bVq1dRsWLFYr0JmYiISg8RQXp6Otzd3WFiUvCxJcMTwNWrV3kVGxERAQAuX76MqlWrFtiH4Yn//XzO5cuXy8V3MhIRUW5paWmoVq1arp9UywvDE//7vkg7OzuGJxFROVeY03e8YIiIiEgjhicREZFGDE8iIiKNGJ5EREQaMTyJiIg0YngSERFpxPAkIiLSiPd5FqNLly4hKSlJ0zxOTk7w8PB4ThUREdHzwPAsJpcuXYKvbx3cu3dX03zW1hVw9uwZBigRUSnC8CwmSUlJuHfvLgLenQg7N89CzZN27QL2fzMZSUlJDE8iolKE4VnM7Nw84eBRu6TLICKi54gXDBEREWnE8CQiItKI4UlERKQRw5OIiEgjhicREZFGDE8iIiKNGJ5EREQaMTyJiIg0YngSERFpxPAkIiLSiOFJRESkUYmG5549e/DGG2/A3d0dOp0OGzduVE0XEUyYMAFubm6wtrZGUFAQzp07p+qTnJyM8PBw2NnZwd7eHu+99x5u3779AteCiIjKmxINzzt37qBBgwaIiorKc/rMmTMxb948LF68GPv374eNjQ2Cg4Nx//59pU94eDhOnTqF7du3Y9OmTdizZw8GDBjwolaBiIjKoRL9VZWOHTuiY8eOeU4TEURGRmLcuHHo0qULAGD58uVwcXHBxo0b0aNHD5w5cwZbtmzBwYMH0aRJEwDA/Pnz8frrr2P27Nlwd3d/YetCRETlh9Ge80xISIDBYEBQUJDSptfrERAQgNjYWABAbGws7O3tleAEgKCgIJiYmGD//v35jp2RkYG0tDTVg4iIqLCMNjwNBgMAwMXFRdXu4uKiTDMYDHB2dlZNNzMzg4ODg9InL9OmTYNer1ce1apVK+bqiYioLDPa8Hyexo4di9TUVOVx+fLlki6JiIhKEaMNT1dXVwBAYmKiqj0xMVGZ5urqiuvXr6umP3z4EMnJyUqfvFhaWsLOzk71ICIiKiyjDU8vLy+4uroiOjpaaUtLS8P+/fsRGBgIAAgMDERKSgri4uKUPjt37kR2djYCAgJeeM1ERFQ+lOjVtrdv38b58+eV5wkJCTh69CgcHBzg4eGB4cOH49NPP0XNmjXh5eWF8ePHw93dHSEhIQCAOnXqoEOHDujfvz8WL16MzMxMDB48GD169OCVtkRE9NyUaHgeOnQIrVu3Vp6PGDECANC3b18sW7YMo0ePxp07dzBgwACkpKTglVdewZYtW2BlZaXMs3LlSgwePBht27aFiYkJQkNDMW/evBe+LkREVH6UaHi+9tprEJF8p+t0OkyZMgVTpkzJt4+DgwNWrVr1PMojIiLKk9Ge8yQiIjJWDE8iIiKNGJ5EREQaMTyJiIg0YngSERFpxPAkIiLSiOFJRESkEcOTiIhII4YnERGRRgxPIiIijRieREREGjE8iYiINGJ4EhERacTwJCIi0ojhSUREpBHDk4iISCOGJxERkUYMTyIiIo0YnkRERBoxPImIiDRieBIREWnE8CQiItKI4UlERKQRw5OIiEgjhicREZFGDE8iIiKNGJ5EREQaMTyJiIg0YngSERFpZNThmZWVhfHjx8PLywvW1tbw9vbG1KlTISJKHxHBhAkT4ObmBmtrawQFBeHcuXMlWDUREZV1Rh2eM2bMwKJFi7BgwQKcOXMGM2bMwMyZMzF//nylz8yZMzFv3jwsXrwY+/fvh42NDYKDg3H//v0SrJyIiMoys5IuoCD79u1Dly5d0KlTJwCAp6cnvv/+exw4cADAo6POyMhIjBs3Dl26dAEALF++HC4uLti4cSN69OhRYrUTEVHZZdRHns2bN0d0dDT++OMPAMCxY8fwf//3f+jYsSMAICEhAQaDAUFBQco8er0eAQEBiI2NzXfcjIwMpKWlqR5ERESFZdRHnh9//DHS0tLg6+sLU1NTZGVl4bPPPkN4eDgAwGAwAABcXFxU87m4uCjT8jJt2jRMnjz5+RVORERlmlEfea5duxYrV67EqlWrcPjwYXz77beYPXs2vv3222cad+zYsUhNTVUely9fLqaKiYioPDDqI8+PPvoIH3/8sXLusl69erh48SKmTZuGvn37wtXVFQCQmJgINzc3Zb7ExEQ0bNgw33EtLS1haWn5XGsnIqKyy6iPPO/evQsTE3WJpqamyM7OBgB4eXnB1dUV0dHRyvS0tDTs378fgYGBL7RWIiIqP4z6yPONN97AZ599Bg8PD/j7++PIkSOYM2cO3n33XQCATqfD8OHD8emnn6JmzZrw8vLC+PHj4e7ujpCQkJItnoiIyiyjDs/58+dj/Pjx+OCDD3D9+nW4u7tj4MCBmDBhgtJn9OjRuHPnDgYMGICUlBS88sor2LJlC6ysrEqwciIiKsuMOjwrVqyIyMhIREZG5ttHp9NhypQpmDJlyosrjIiIyjWjPudJRERkjBieREREGjE8iYiINGJ4EhERacTwJCIi0ojhSUREpBHDk4iISCOGJxERkUYMTyIiIo0YnkRERBoxPImIiDRieBIREWnE8CQiItKI4UlERKQRw5OIiEgjhicREZFGDE8iIiKNGJ5EREQaMTyJiIg0YngSERFpxPAkIiLSqEjhWaNGDdy8eTNXe0pKCmrUqPHMRRERERmzIoXnhQsXkJWVlas9IyMDV65ceeaiiIiIjJmZls4///yz8u+tW7dCr9crz7OyshAdHQ1PT89iK46IiMgYaQrPkJAQAIBOp0Pfvn1V08zNzeHp6Ykvvvii2IojIiIyRprCMzs7GwDg5eWFgwcPwsnJ6bkURUREZMw0hWeOhISE4q6DiIio1ChSeAJAdHQ0oqOjcf36deWINMc333zzzIUREREZqyKF5+TJkzFlyhQ0adIEbm5u0Ol0xV0XERGR0SpSeC5evBjLli1D7969i7seIiIio1ek+zwfPHiA5s2bF3ctebpy5Qp69eoFR0dHWFtbo169ejh06JAyXUQwYcIEuLm5wdraGkFBQTh37twLqY2IiMqnIoXn+++/j1WrVhV3LbncunULLVq0gLm5OTZv3ozTp0/jiy++QKVKlZQ+M2fOxLx587B48WLs378fNjY2CA4Oxv379597fUREVD4V6WPb+/fvY8mSJdixYwfq168Pc3Nz1fQ5c+YUS3EzZsxAtWrVsHTpUqXNy8tL+beIIDIyEuPGjUOXLl0AAMuXL4eLiws2btyIHj16FEsdREREjyvSkefx48fRsGFDmJiY4OTJkzhy5IjyOHr0aLEV9/PPP6NJkyZ4++234ezsjEaNGuHf//63Mj0hIQEGgwFBQUFKm16vR0BAAGJjY/MdNyMjA2lpaaoHERFRYRXpyHPXrl3FXUee/vrrLyxatAgjRozAJ598goMHD2Lo0KGwsLBA3759YTAYAAAuLi6q+VxcXJRpeZk2bRomT578XGsnIqKyy6h/kiw7OxsvvfQSPv/8czRq1AgDBgxA//79sXjx4mcad+zYsUhNTVUely9fLqaKiYioPCjSkWfr1q0LvLdz586dRS7ocW5ubvDz81O11alTBz/++CMAwNXVFQCQmJgINzc3pU9iYiIaNmyY77iWlpawtLQslhqJiKj8KdKRZ8OGDdGgQQPl4efnhwcPHuDw4cOoV69esRXXokULxMfHq9r++OMPVK9eHcCji4dcXV0RHR2tTE9LS8P+/fsRGBhYbHUQERE9rkhHnnPnzs2zfdKkSbh9+/YzFfS4Dz/8EM2bN8fnn3+OsLAwHDhwAEuWLMGSJUsAPPp1l+HDh+PTTz9FzZo14eXlhfHjx8Pd3V35BRgiIqLiVqznPHv16lWs32vbtGlTbNiwAd9//z3q1q2LqVOnIjIyEuHh4Uqf0aNHY8iQIRgwYACaNm2K27dvY8uWLbCysiq2OoiIiB5X5C+Gz0tsbGyxh1bnzp3RuXPnfKfrdDpMmTIFU6ZMKdblEhER5adI4dm1a1fVcxHBtWvXcOjQIYwfP75YCiMiIjJWRQpPvV6vem5iYoLatWtjypQpaN++fbEURkREZKyKFJ6Pf10eERFRefNM5zzj4uJw5swZAIC/vz8aNWpULEUREREZsyKF5/Xr19GjRw/ExMTA3t4eAJCSkoLWrVtj9erVqFy5cnHWSEREZFSKdKvKkCFDkJ6ejlOnTiE5ORnJyck4efIk0tLSMHTo0OKukYiIyKgU6chzy5Yt2LFjB+rUqaO0+fn5ISoqihcMERFRmVekI8/s7Oxcv+EJAObm5sjOzn7mooiIiIxZkcKzTZs2GDZsGK5evaq0XblyBR9++CHatm1bbMUREREZoyKF54IFC5CWlgZPT094e3vD29sbXl5eSEtLw/z584u7RiIiIqNSpHOe1apVw+HDh7Fjxw6cPXsWwKOfCgsKCirW4oiIiIyRpiPPnTt3ws/PD2lpadDpdGjXrh2GDBmCIUOGoGnTpvD398fevXufV61ERERGQVN4RkZGon///rCzs8s1Ta/XY+DAgZgzZ06xFUdERGSMNIXnsWPH0KFDh3ynt2/fHnFxcc9cFBERkTHTFJ6JiYl53qKSw8zMDDdu3HjmooiIiIyZpvCsUqUKTp48me/048ePw83N7ZmLIiIiMmaawvP111/H+PHjcf/+/VzT7t27h4kTJxb4w9VERERlgaZbVcaNG4f169ejVq1aGDx4MGrXrg0AOHv2LKKiopCVlYV//etfz6VQIiIiY6EpPF1cXLBv3z7885//xNixYyEiAACdTofg4GBERUXBxcXluRRKRERkLDR/SUL16tXx66+/4tatWzh//jxEBDVr1kSlSpWeR31ERERGp8g/hl2pUiU0bdq0OGshIiIqFYr03bZERETlGcOTiIhII4YnERGRRgxPIiIijRieREREGjE8iYiINGJ4EhERacTwJCIi0qhUhef06dOh0+kwfPhwpe3+/fsYNGgQHB0dYWtri9DQUCQmJpZckUREVOaVmvA8ePAgvvrqK9SvX1/V/uGHH+K///0v1q1bh927d+Pq1avo2rVrCVVJRETlQakIz9u3byM8PBz//ve/Vd+hm5qaiq+//hpz5sxBmzZt0LhxYyxduhT79u3D77//XoIVExFRWVYqwnPQoEHo1KkTgoKCVO1xcXHIzMxUtfv6+sLDwwOxsbH5jpeRkYG0tDTVg4iIqLCK/MXwL8rq1atx+PBhHDx4MNc0g8EACwsL2Nvbq9pdXFxgMBjyHXPatGmYPHlycZdKRETlhFEfeV6+fBnDhg3DypUrYWVlVWzjjh07Fqmpqcrj8uXLxTY2ERGVfUYdnnFxcbh+/TpeeuklmJmZwczMDLt378a8efNgZmYGFxcXPHjwACkpKar5EhMT4erqmu+4lpaWsLOzUz2IiIgKy6g/tm3bti1OnDihaouIiICvry/GjBmDatWqwdzcHNHR0QgNDQUAxMfH49KlSwgMDCyJkomIqBww6vCsWLEi6tatq2qzsbGBo6Oj0v7ee+9hxIgRcHBwgJ2dHYYMGYLAwEC8/PLLJVEyERGVA0YdnoUxd+5cmJiYIDQ0FBkZGQgODsbChQtLuiwiIirDSl14xsTEqJ5bWVkhKioKUVFRJVMQERGVO0Z9wRAREZExYngSERFpxPAkIiLSiOFJRESkEcOTiIhII4YnERGRRgxPIiIijRieREREGjE8iYiINGJ4EhERacTwJCIi0ojhSUREpBHDk4iISCOGJxERkUYMTyIiIo0YnkRERBqVuh/DLovOnDmjqb+TkxM8PDyeUzVERPQ0DM8SdC/1JgAdevXqpWk+a+sKOHv2DAOUiKiEMDxLUObddACChu+MQWUv30LNk3btAvZ/MxlJSUkMTyKiEsLwNAK2zh5w8Khd0mUQEVEh8YIhIiIijRieREREGjE8iYiINGJ4EhERacTwJCIi0ojhSUREpBHDk4iISCOGJxERkUYMTyIiIo2MOjynTZuGpk2bomLFinB2dkZISAji4+NVfe7fv49BgwbB0dERtra2CA0NRWJiYglVTERE5YFRh+fu3bsxaNAg/P7779i+fTsyMzPRvn173LlzR+nz4Ycf4r///S/WrVuH3bt34+rVq+jatWsJVk1ERGWdUX+37ZYtW1TPly1bBmdnZ8TFxeHVV19Famoqvv76a6xatQpt2rQBACxduhR16tTB77//jpdffrkkyiYiojLOqI88n5SamgoAcHBwAADExcUhMzMTQUFBSh9fX194eHggNjY233EyMjKQlpamehARERVWqQnP7OxsDB8+HC1atEDdunUBAAaDARYWFrC3t1f1dXFxgcFgyHesadOmQa/XK49q1ao9z9KJiKiMKTXhOWjQIJw8eRKrV69+5rHGjh2L1NRU5XH58uViqJCIiMoLoz7nmWPw4MHYtGkT9uzZg6pVqyrtrq6uePDgAVJSUlRHn4mJiXB1dc13PEtLS1haWj7PkomIqAwz6vAUEQwZMgQbNmxATEwMvLy8VNMbN24Mc3NzREdHIzQ0FAAQHx+PS5cuITAwsCRKfmHOnDmjqb+TkxM8PDyeUzVEROWLUYfnoEGDsGrVKvz000+oWLGich5Tr9fD2toaer0e7733HkaMGAEHBwfY2dlhyJAhCAwMLLNX2t5LvQlAh169emmaz9q6As6ePcMAJSIqBkYdnosWLQIAvPbaa6r2pUuXol+/fgCAuXPnwsTEBKGhocjIyEBwcDAWLlz4git9cTLvpgMQNHxnDCp7+RZqnrRrF7D/m8lISkpieBIRFQOjDk8ReWofKysrREVFISoq6gVUZDxsnT3g4FG7pMsgIiqXSs3VtkRERMaC4UlERKQRw5OIiEgjhicREZFGDE8iIiKNGJ5EREQaMTyJiIg0YngSERFpxPAkIiLSiOFJRESkEcOTiIhII6P+blsqXvwZMyKi4sHwLAf4M2ZERMWL4VkO8GfMiIiKF8OzHOHPmBERFQ+GJxW7S5cuISkpSdM8PL9KRKUJw5OK1aVLl+DrWwf37t3VNB/PrxJRacLwpGKVlJSEe/fuIuDdibBz8yzUPDy/SkSlDcOTngs7N0+eXyWiMovhSUaD96ESUWnB8KQSx/tQiai0YXhSgbQeDWrtDzzbfah79+5FnTp1Cr0sHq0SUXFgeFKeino0mCMz44HmebTch8qjVSIqSQxPylNRjgYB4NqJWJz8eQkePnz4/IoDvzWJiEoWw5MKpPVbidKuXXh+xeSB35pERCWB4UnlDq/qJaJnxfCkcoPnSYmouDA8qdwoi1f18nuEiUoGw5PKnbJyVS+/R5io5DA8iQpgzFf18nuEiUpOmQnPqKgozJo1CwaDAQ0aNMD8+fPRrFmzki6LyghjvqqX3yNM9OKVifBcs2YNRowYgcWLFyMgIACRkZEIDg5GfHw8nJ2dS7o8Kqe0XtWbkZEBS0vL5zb+i/aizsfyvO+LY8z7tKjLKqoyEZ5z5sxB//79ERERAQBYvHgxfvnlF3zzzTf4+OOPS7g6Km+K/O1MOh0gonl5Rfk2p+ftRZ2P5XnfF8fY92lRlvUsSn14PnjwAHFxcRg7dqzSZmJigqCgIMTGxuY5T0ZGBjIyMpTnqampAIC0tLQi13H79m0AQPLFeDzMuFeoedKuXXy0/CvnYG6mK/XzGHt9L2qem3+eBCCo8drb0LtULdQ8yRfO4OL+LUWa5+bFM9Ahq1DzpBkuAQDi4uKU12xhmJiYIDs7u9D94+Pjce/eXdRu9w4qOLgUap67yYmI374KW7duRe3ahfsY+kUtB9C+DcraPMa8Tx9f1oULF2Bvb1/o+R6XkwFSmD9ipZS7cuWKAJB9+/ap2j/66CNp1qxZnvNMnDhRAPDBBx988MFHrsfly5efmj2l/sizKMaOHYsRI0Yoz7Ozs5GcnAxHR0fodIU/ynpcWloaqlWrhsuXL8POzq64SqVC4vYvedwHJY/74NmICNLT0+Hu7v7UvqU+PJ2cnGBqaorExERVe2JiIlxdXfOcx9LSMteFGUU9zH+SnZ0dX7QliNu/5HEflDzug6LT6/WF6mfynOt47iwsLNC4cWNER0crbdnZ2YiOjkZgYGAJVkZERGVVqT/yBIARI0agb9++aNKkCZo1a4bIyEjcuXNHufqWiIioOJWJ8OzevTtu3LiBCRMmwGAwoGHDhtiyZQtcXAp/pdazsrS0xMSJEzXdp0fFh9u/5HEflDzugxdHJ1KEG8uIiIjKsVJ/zpOIiOhFY3gSERFpxPAkIiLSiOFJRESkEcOzGERFRcHT0xNWVlYICAjAgQMHSrqkUmHSpEnQ6XSqh6/v/34z8/79+xg0aBAcHR1ha2uL0NDQXF+GcenSJXTq1AkVKlSAs7MzPvroIzx8+FDVJyYmBi+99BIsLS3h4+ODZcuW5aqlPOzDPXv24I033oC7uzt0Oh02btyomi4imDBhAtzc3GBtbY2goCCcO3dO1Sc5ORnh4eGws7ODvb093nvvvVzfkXv8+HG0bNkSVlZWqFatGmbOnJmrlnXr1sHX1xdWVlaoV68efv31V821lEZP2wf9+vXL9X+iQ4cOqj7cB0biGb9attxbvXq1WFhYyDfffCOnTp2S/v37i729vSQmJpZ0aUZv4sSJ4u/vL9euXVMeN27cUKb/4x//kGrVqkl0dLQcOnRIXn75ZWnevLky/eHDh1K3bl0JCgqSI0eOyK+//ipOTk4yduxYpc9ff/0lFSpUkBEjRsjp06dl/vz5YmpqKlu2bFH6lJd9+Ouvv8q//vUvWb9+vQCQDRs2qKZPnz5d9Hq9bNy4UY4dOyZvvvmmeHl5yb1795Q+HTp0kAYNGsjvv/8ue/fuFR8fH+nZs6cyPTU1VVxcXCQ8PFxOnjwp33//vVhbW8tXX32l9Pntt9/E1NRUZs6cKadPn5Zx48aJubm5nDhxQlMtpdHT9kHfvn2lQ4cOqv8TycnJqj7cB8aB4fmMmjVrJoMGDVKeZ2Vlibu7u0ybNq0EqyodJk6cKA0aNMhzWkpKipibm8u6deuUtjNnzggAiY2NFZFHb0QmJiZiMBiUPosWLRI7OzvJyMgQEZHRo0eLv7+/auzu3btLcHCw8rw87sMn37izs7PF1dVVZs2apbSlpKSIpaWlfP/99yIicvr0aQEgBw8eVPps3rxZdDqdXLlyRUREFi5cKJUqVVK2v4jImDFjpHbt2srzsLAw6dSpk6qegIAAGThwYKFrKQvyC88uXbrkOw/3gfHgx7bPIOfn0IKCgpS2p/0cGqmdO3cO7u7uqFGjBsLDw3Hp0v9+MiszM1O1bX19feHh4aFs29jYWNSrV0/1ZRjBwcFIS0vDqVOnlD6Pj5HTJ2cM7sNHEhISYDAYVNtBr9cjICBAtb3t7e3RpEkTpU9QUBBMTEywf/9+pc+rr74KCwsLpU/OD9PfunVL6VPQPilMLWVZTEwMnJ2dUbt2bfzzn//EzZs3lWncB8aD4fkMkpKSkJWVleubjFxcXGAwGEqoqtIjICAAy5Ytw5YtW7Bo0SIkJCSgZcuWSE9Ph8FggIWFRa4v7H982xoMhjy3fc60gvqkpaXh3r173If/X866FrQdDAYDnJ2dVdPNzMzg4OBQLPvk8elPq6Ws6tChA5YvX47o6GjMmDEDu3fvRseOHZGV9ej3WrkPjEeZ+Ho+Kp06duyo/Lt+/foICAhA9erVsXbtWlhbW5dgZUQlo0ePHsq/69Wrh/r168Pb2xsxMTFo27ZtCVZGT+KR5zMoys+hUf7s7e1Rq1YtnD9/Hq6urnjw4AFSUlJUfR7ftq6urnlu+5xpBfWxs7ODtbU19+H/l7OuBW0HV1dXXL9+XTX94cOHSE5OLpZ98vj0p9VSXtSoUQNOTk44f/48AO4DY8LwfAb8ObTidfv2bfz5559wc3ND48aNYW5urtq28fHxuHTpkrJtAwMDceLECdWbyfbt22FnZwc/Pz+lz+Nj5PTJGYP78BEvLy+4urqqtkNaWhr279+v2t4pKSmIi4tT+uzcuRPZ2dkICAhQ+uzZsweZmZlKn+3bt6N27dqoVKmS0qegfVKYWsqLv//+Gzdv3oSbmxsA7gOjUtJXLJV2q1evFktLS1m2bJmcPn1aBgwYIPb29qorQClvI0eOlJiYGElISJDffvtNgoKCxMnJSa5fvy4ij25V8fDwkJ07d8qhQ4ckMDBQAgMDlflzblVp3769HD16VLZs2SKVK1fO81aVjz76SM6cOSNRUVF53qpSHvZhenq6HDlyRI4cOSIAZM6cOXLkyBG5ePGiiDy6NcHe3l5++uknOX78uHTp0iXPW1UaNWok+/fvl//7v/+TmjVrqm6TSElJERcXF+ndu7ecPHlSVq9eLRUqVMh1m4SZmZnMnj1bzpw5IxMnTszzNomn1VIaFbQP0tPTZdSoURIbGysJCQmyY8cOeemll6RmzZpy//59ZQzuA+PA8CwG8+fPFw8PD7GwsJBmzZrJ77//XtIllQrdu3cXNzc3sbCwkCpVqkj37t3l/PnzyvR79+7JBx98IJUqVZIKFSrIW2+9JdeuXVONceHCBenYsaNYW1uLk5OTjBw5UjIzM1V9du3aJQ0bNhQLCwupUaOGLF26NFct5WEf7tq1SwDkevTt21dEHt2eMH78eHFxcRFLS0tp27atxMfHq8a4efOm9OzZU2xtbcXOzk4iIiIkPT1d1efYsWPyyiuviKWlpVSpUkWmT5+eq5a1a9dKrVq1xMLCQvz9/eWXX35RTS9MLaVRQfvg7t270r59e6lcubKYm5tL9erVpX///rn+iOM+MA78STIiIiKNeM6TiIhII4YnERGRRgxPIiIijRieREREGjE8iYiINGJ4EhERacTwJCIi0ojhSUREpBHDk4iISCOGJ5ERMhgMGDZsGHx8fGBlZQUXFxe0aNECixYtwt27dwEAnp6e0Ol00Ol0sLa2hqenJ8LCwrBz507VWBcuXFD66XQ6ODo6on379jhy5AgAIDMzE2PGjEG9evVgY2MDd3d39OnTB1evXlWNk5ycjPDwcNjZ2cHe3h7vvfcebt++rUyPiYlBly5d4ObmBhsbGzRs2BArV67MtW7r1q2Dr68vrKysUK9ePfz666/FvfmInjuGJ5GR+euvv9CoUSNs27YNn3/+OY4cOYLY2FiMHj0amzZtwo4dO5S+U6ZMwbVr1xAfH4/ly5fD3t4eQUFB+Oyzz3KNu2PHDly7dg1bt27F7du30bFjR6SkpODu3bs4fPgwxo8fj8OHD2P9+vWIj4/Hm2++qZo/PDwcp06dwvbt27Fp0ybs2bMHAwYMUKbv27cP9evXx48//ojjx48jIiICffr0waZNm1R9evbsiffeew9HjhxBSEgIQkJCcPLkyeewJYmeo5L+cl0iUgsODpaqVavK7du385yenZ0tIiLVq1eXuXPn5po+YcIEMTExkbNnz4qISEJCggCQI0eOKH1+++03AaD6dZnHHThwQAAov7hy+vRpASAHDx5U+mzevFl0Op1cuXIl33V5/fXXJSIiQnkeFhYmnTp1UvUJCAiQgQMH5jsGkTHikSeREbl58ya2bduGQYMGwcbGJs8+Op2uwDGGDRsGEcFPP/2Ubx9ra2sAwIMHD/KcnpqaCp1OB3t7ewBAbGws7O3t0aRJE6VPUFAQTExMsH///nyXk5qaCgcHB+V5bGwsgoKCVH2Cg4MRGxtb4DoRGRuGJ5EROX/+PEQEtWvXVrU7OTnB1tYWtra2GDNmTIFjODg4wNnZGRcuXMhzekpKCqZOnQpbW1s0a9Ys1/T79+9jzJgx6NmzJ+zs7AA8Ogfr7Oys6mdmZgYHBwcYDIY8l7N27VocPHgQERERSpvBYICLi4uqn4uLS75jEBkrs5IugIie7sCBA8jOzkZ4eDgyMjKe2l9Ech2hNm/eHCYmJrhz5w5q1KiBNWvW5AqyzMxMhIWFQUSwaNGiIte7a9cuRERE4N///jf8/f2LPA6RsWJ4EhkRHx8f6HQ6xMfHq9pr1KgB4H8ftxbk5s2buHHjBry8vFTta9asgZ+fHxwdHZWPYx+XE5wXL17Ezp07laNOAHB1dcX169dV/R8+fIjk5GS4urqq2nfv3o033ngDc+fORZ8+fVTTXF1dkZiYqGpLTEzMNQaRsePHtkRGxNHREe3atcOCBQtw586dIo3x5ZdfwsTEBCEhIar2atWqwdvbu8DgPHfuHHbs2AFHR0fV9MDAQKSkpCAuLk5p27lzJ7KzsxEQEKC0xcTEoFOnTpgxY4bqStzHx4mOjla1bd++HYGBgUVYU6KSwyNPIiOzcOFCtGjRAk2aNMGkSZNQv359mJiY4ODBgzh79iwaN26s9E1PT4fBYEBmZiYSEhLw3Xff4T//+Q+mTZsGHx+fQi0vMzMT3bp1w+HDh7Fp0yZkZWUp5yAdHBxgYWGBOnXqoEOHDujfvz8WL16MzMxMDB48GD169IC7uzuARx/Vdu7cGcOGDUNoaKgyhoWFhXLR0LBhw9CqVSt88cUX6NSpE1avXo1Dhw5hyZIlxbkJiZ6/kr3Yl4jycvXqVRk8eLB4eXmJubm52NraSrNmzWTWrFly584dEXl0qwoAASAWFhbi4eEhYWFhsnPnTtVYed2qktf0vB67du1S+t28eVN69uwptra2YmdnJxEREZKenq5M79u3b55jtGrVSrW8tWvXSq1atcTCwkL8/f3ll19+KZZtRvQi6URESiK0iYiISiue8yQiItKI4UlERKQRw5OIiEgjhicREZFGDE8iIiKNGJ5EREQaMTyJiIg0YngSERFpxPAkIiLSiOFJRESkEcOTiIhIo/8HOQWsMtyxRkAAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = sns.histplot(data=countries, x='GDP2020')\n", "axes.set_title('Some countries have a very high GDP')\n", "axes.set_xticks(np.arange(0, 200000, 50000))\n", "axes.figure.set_size_inches(5, 3)\n", "pass" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 295 }, "executionInfo": { "elapsed": 13250, "status": "ok", "timestamp": 1618302220611, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "A1FZhEG_5P2C", "outputId": "41cd7dec-2fe0-48e9-8c1a-32a9281dc163", "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# replace values larger than 51k with 51k\n", "gdp_clipped = countries['GDP2020'].clip(0, 51000)\n", "# make histogram with manual bins, with last bin 50k-52k\n", "axes = sns.histplot(x=gdp_clipped, bins=np.arange(0, 53000, 2000))\n", "axes.figure.set_size_inches(5, 3)\n", "# mention clipping in plot title\n", "axes.set_title('All GDP values >=50k grouped to the last bin')\n", "# also add a text label to the bin with clipped values\n", "axes.text(x=50000, y=25, s='>=50000')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "-HSMxdnJ9oYK" }, "source": [ "### Problems with precision\n", "\n", "When working with integers or even real numbers given with a small number of decimal points, we can get artifacts related to different counts of possible values falling to different bins. \n", "\n", "To illustrate this, we uniformly sample million points from the set $\\{0, 0.01, 0.02, \\dots, 0.99\\}$.\n", "\n", "* There will be a similar number of samples for each possible value from this set.\n", "* We show histograms with 10, 7 and 77 equally sized bins. \n", "* For 10 bins, each bin summarizes 10 of the possible values and the sizes are approximately the same.\n", "* For 7 bins, the first and the last bin summarize 15 possible values each and remaining bins summarize 14 possible values each. The first and last bin are thus slightly higher.\n", "* For 77 bins, some bins summarize 2 different values, others only 1. We see clear differences in bar height.\n", "\n", "If we are unaware of this, we may draw incorrect conclusions from the second and third plot." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 294 }, "executionInfo": { "elapsed": 13893, "status": "ok", "timestamp": 1618302221260, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "DMvCEFLIyude", "outputId": "9bdffef0-4130-4258-867d-9d74fb2f9ab5" }, "outputs": [ { "data": { "text/markdown": [ "**Example of data (first values):**" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([0.39, 0.82, 0.36, 0.29, 0.72])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample_uniform = np.random.randint(0, 100, 1000000) / 100\n", "display(Markdown('**Example of data (first values):**'), sample_uniform[0:5])\n", "figure, axes = plt.subplots(1, 3, figsize=(10,2.5))\n", "figure.tight_layout(pad=3)\n", "for (i, bin) in enumerate([10, 7, 77]):\n", " sns.histplot(x=sample_uniform, bins=bin, ax=axes[i])\n", " axes[i].set_xlabel(f\"{bin} bins\")\n", "figure.suptitle(\"Uniform random numbers from [0,1) with 2 decimal digits\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "XQWEjp36fjWe" }, "source": [ "### Small samples\n", "\n", "Beware drawing strong conclusions from small samples. \n", "\n", "* Below we again first show the histogram of life expectancy over all countries.\n", "* Then we show histograms of four random subsets of 20 countries each. \n", "* Any estimates (including histograms) from small samples are subject to random noise." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 295 }, "executionInfo": { "elapsed": 13887, "status": "ok", "timestamp": 1618302221261, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "YhdmHuN3flIX", "outputId": "2473b5f7-bfb0-4b23-ef99-ba262d27acb6" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = sns.histplot(data=countries, x='Expectancy2020')\n", "axes.set_title('All countries')\n", "axes.figure.set_size_inches(5, 3)\n", "pass" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 308 }, "executionInfo": { "elapsed": 15173, "status": "ok", "timestamp": 1618302222552, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "cemzyjMxftrV", "outputId": "c5506d52-ebb3-4f86-eadc-6cdae97df665" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, axes = plt.subplots(2, 2, sharex=True, sharey=True, figsize=(7,4))\n", "for row in axes:\n", " for subplot in row:\n", " expectancy_sample = countries['Expectancy2020'].dropna().sample(20)\n", " sns.histplot(x=expectancy_sample, ax=subplot)\n", "figure.suptitle(\"Different random subsets of 20 countries\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "6I7B9bRu9AvM" }, "source": [ "### Summary: Histogram bin size\n", "\n", "To summarize, the tricky part of using histograms is to choose the bin size or the number of bins.\n", "\n", "Smaller bins mean more details are visible, but some of those details may be artefacts:\n", "\n", "* random fluctuations due to small number of points in the bin, or\n", "* effects related to insufficient resolution of the data.\n", "\n", "Thus choose bin size based on:\n", "\n", "* the amount of data,\n", "* the precision of input values,\n", "* the meaningful resolution of the results.\n", "\n", "In the example below we show the life expectancy data with different number of bins. Do 50 or 500 bins show more meaningful information than 10 bins?" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 353 }, "executionInfo": { "elapsed": 11437, "status": "ok", "timestamp": 1618302218763, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "hUdDbIJ1hzAT", "outputId": "5069ac3f-ce37-4191-8c2d-57eb80509206" }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# one set of plots has share y axis, one has not\n", "figure1, axes1 = plt.subplots(1, 3, figsize=(10,2), sharey=True)\n", "figure2, axes2 = plt.subplots(1, 3, figsize=(10,2))\n", "# plot the same plots for each set\n", "for (figure, axes, title) in [(figure1, axes1, 'shared y axis'), \n", " (figure2, axes2, 'different y axes')]:\n", " # iterate over different numbers of bins\n", " for (i, bin) in enumerate([10, 50, 500]): \n", " sns.histplot(data=countries, x='Expectancy2020', bins=bin, ax=axes[i])\n", " axes[i].set_xlabel(f\"{bin} bins\")\n", " # title of the whole figure\n", " figure.suptitle(f\"Life expectancy in 2020, {title}\")\n", " figure.subplots_adjust(wspace=0.3) \n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "gbYTd8zGWRjz" }, "source": [ "### Comparing distributions with histograms\n", "\n", "* We can compare distributions of a numerical variable split into groups by a categorical variable.\n", "* For example in our `countries` table, we can compare life expectancy in different regions of the world.\n", "* Seaborn provides [several options](https://seaborn.pydata.org/tutorial/distributions.html) for doing so.\n", "\n", "The first two plots use semi-transparent overlapping histograms, which work well for two regions (left), but are a mess for many regions (right)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 295 }, "executionInfo": { "elapsed": 15505, "status": "ok", "timestamp": 1618302222890, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "MmrcA-K3xFL3", "outputId": "e119341d-c992-4cda-8836-6b65044076f3" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# select two regions\n", "countries_subset = countries.query('Region == \"Europe & Central Asia\" '\n", " + 'or Region == \"Sub-Saharan Africa\"')\n", "# create figure with 2 plots\n", "figures, axes = plt.subplots(1, 2, figsize=(10,4), sharey=True)\n", "# plot both histograms\n", "sns.histplot(data=countries_subset, x='Expectancy2020', hue='Region', ax = axes[0])\n", "sns.histplot(data=countries, x='Expectancy2020', hue='Region', ax=axes[1])\n", "# make bigger y-axis to accomodate legend\n", "axes[0].set_ylim(0,40)\n", "# titles\n", "axes[0].set_title('Overlapping histograms for two regions')\n", "axes[1].set_title('Overlapping histograms for all regions')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "T9jbxBXWrbrQ" }, "source": [ "The next two plots attempt to improve the situation.\n", "\n", "* On the left we omit bar outlines to simplify the plot.\n", "* On the right we use stacked bars, showing contribution of each region to the whole." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 404 }, "executionInfo": { "elapsed": 16103, "status": "ok", "timestamp": 1618302223494, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "y165oD54ZKOc", "outputId": "fba41954-5090-428a-ac9e-031cda1a932a" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create figure with 2 plots\n", "figures, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "# plot both histograms\n", "sns.histplot(data=countries, x='Expectancy2020', hue='Region', \n", " element='step', ax = axes[0])\n", "sns.histplot(data=countries, x='Expectancy2020', hue='Region', element='step', \n", " multiple=\"stack\", ax=axes[1])\n", "# make bigger y-axis to accomodate legend\n", "axes[0].set_ylim(0,35)\n", "axes[1].set_ylim(0,80)\n", "# titles\n", "axes[0].set_title('Omitting bar frames')\n", "axes[1].set_title('Stacked bars')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "Zut_5085sEwv" }, "source": [ "* Regions contain different number of countries.\n", "* To better compare distribution of the expectancy within region, we should normalize the count to probabilities. \n", "* Use `common_norm=False` to normalize each region separately." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 450 }, "executionInfo": { "elapsed": 17264, "status": "ok", "timestamp": 1618302224661, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "skhrmNlgYzwF", "outputId": "53b2e6bd-ef2e-4076-db1b-38319c62a03f" }, "outputs": [ { "data": { "text/markdown": [ "**Countries in regions:**" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "Region\n", "North America 3\n", "South Asia 8\n", "Middle East & North Africa 21\n", "East Asia & Pacific 37\n", "Latin America & Caribbean 42\n", "Sub-Saharan Africa 48\n", "Europe & Central Asia 58\n", "dtype: int64" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(Markdown(\"**Countries in regions:**\"))\n", "display(countries.groupby('Region').size().sort_values())\n", "\n", "# select two regions of very different sizes\n", "countries_subset2 = countries.query('Region == \"Europe & Central Asia\" '\n", " + 'or Region == \"Middle East & North Africa\"')\n", "# plot counts and probabilities\n", "figure, axes = plt.subplots(1, 2, figsize=(9,3))\n", "sns.histplot(data=countries_subset2, x='Expectancy2020', hue='Region', element='step', ax=axes[0])\n", "sns.histplot(data=countries_subset2, x='Expectancy2020', hue='Region', element='step', \n", " stat=\"probability\", common_norm=False, ax=axes[1])\n", "axes[0].set_title('Counts')\n", "axes[1].set_title('Probabilities within region')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "L6dvGqtitIvv" }, "source": [ "* Using FSEV survey, we can compare self-reported heights of women and men. \n", "* We will use only values of adults above 18 years of age.\n", "* Besides the expected trend, we also see a clear outlier, perhaps an error (although people of such heights exist, the cases are extremely rare).\n", "* We will replace it with NaN." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 279 }, "executionInfo": { "elapsed": 17631, "status": "ok", "timestamp": 1618302225033, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "E-rfDxupd3Qu", "outputId": "6b2aa3a9-d180-45c8-820f-587c3a91f2ff" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fsev.iloc[:,144].value_counts()\n", "adults = fsev.query(\"Age >= 18\").copy(deep=True) \n", "axes = sns.histplot(data=adults, x='Height', hue='Gender', \n", " hue_order=['female', 'male'], palette=['C3', 'C0'],\n", " stat=\"probability\", common_norm=False)\n", "axes.figure.set_size_inches(5, 3)\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "2sTdlnhK6jIG" }, "source": [ "Below we see histograms after removal of the extreme value." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 295 }, "executionInfo": { "elapsed": 18241, "status": "ok", "timestamp": 1618302225650, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "ueOP1g7Rfsno", "outputId": "e5dbcea7-8ce1-49d4-d207-640bd75aa820" }, "outputs": [ { "data": { "image/png": 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RVP4p79u2f47oUatWrXzDIa9Zs6bQvNdEYfn74MED2WtbW1vUrl2bOUhlRtMcAWB0edK7d2+cOXOmwFGZ8v62d+3aFUlJSdIoS8CLERSXL18OW1tbtG3bthR7Uri7d+/K4klPT8emTZvg5+dX4Nn/kurbty/u3LmDtWvX5pv39OlTPHnyBACkzyXLli2T9Xn5d6/veLkRaaR79+5o3749PvnkE9y4cQO+vr7Ys2cPfvrpJ4wfPz7fdXeNGjVCcHCwbAhUAJg9e7bU56233sI333wDBwcHNGjQAHFxcdi3b580FOvLsrOz0bFjR/Tt2xeXL1/GqlWr0KZNG7z99tuvvH/+/v7Yt28fli5dCqVSCW9vb+mGqX+yt7fH6tWrMWjQIDRr1gz9+/dH1apVkZiYiJ07d6J169ZYsWIFrly5IsXaoEEDVKpUCdu3b0dycjL69+//yvESaUOtWrWwefNm9OvXD/Xr15c9TfbIkSPSUIbjxo1DSEgI1qxZg9TUVLRt2xbHjh3Dxo0b0bNnT7Rv315a5/Dhw/HBBx+gd+/eePPNN3HmzBns3r0bzs7OpY7T398fq1evxrx581C7dm24uLigQ4cOaNCgAdq1awd/f39UqVIFJ06cwLZt2xAaGloWh4dI4xwBAF9fX6PKk8mTJ2Pbtm3o06cP/v3vf8Pf3x8PHz7Ezz//jKioKPj6+mLkyJH48ssvMWTIEMTHx8PLywvbtm1DbGwsIiMjNb7pW1N16tTBsGHDcPz4cbi6umLdunVITk7G+vXry2T9gwYNwvfff48PPvgABw4cQOvWrZGbm4tLly7h+++/x+7du9G8eXP4+flhwIABWLVqFdLS0tCqVStER0fj2rVrZRKH1uhuYCXStryh0o4fP15on5CQEGFjY1PgvMePH4sJEyYIpVIpzMzMhI+Pj/jss89kw64J8WLottGjR4tvv/1W+Pj4CAsLC9G0aVPZcGNCvBgmdOjQocLZ2VnY2tqK4OBgcenSpUKHeDt48KAYOXKkqFy5srC1tRUDBw4UDx48kK2ztEOgXrp0SbzxxhvCyspKAJC2//IQqHkOHDgggoODhYODg7C0tBS1atUSQ4YMkYZ9vX//vhg9erSoV6+esLGxEQ4ODiIgIEB8//33hRx5Iv115coVMWLECOHl5SXMzc2FnZ2daN26tVi+fLk0BGFOTo6YPXu28Pb2FmZmZsLDw0OEh4fLhigUQojc3FwxdepU4ezsLKytrUVwcLC4du1aoXn/8vtVQcMXJiUliW7dugk7OzsBQHoPmDdvnmjZsqVwdHQUVlZWol69euLTTz+VDaVMVBY0yREhjC9PHjx4IEJDQ0W1atWEubm5qF69uggJCRH379+X+iQnJ0t/683NzUXjxo1lf5OF+Ptv9cvDhuftxw8//CBrL2i/PT09Rbdu3cTu3btFkyZNhIWFhahXr16+ZQsbArVhw4b59i8kJER4enrK2rKzs8XChQtFw4YNhYWFhahcubLw9/cXs2fPFmlpaVK/p0+firFjxwonJydhY2MjunfvLm7dumVQQ6AqhCjDuz6IiIiIiMjg8Z4EIiIiIiKSYZFAREREREQyLBKIiIiIiEhGL4qElStXwsvLC5aWlggICMCxY8cK7bt27Vq8/vrrqFy5MipXroygoKB8/YcMGQKFQiGbOnfuXN67QUSFOHToELp37w6lUgmFQoEdO3YU2veDDz6AQqHIN1Tcw4cPMXDgQNjb28PR0RHDhg1DRkZG+QZORIViXhMZN50XCVu3bkVYWBhmzpyJkydPwtfXF8HBwdKjrV8WExODAQMG4MCBA4iLi4OHhwc6deqEO3fuyPp17twZKpVKmv7zn/9oY3eIqABPnjyBr68vVq5cWWS/7du3448//oBSqcw3b+DAgTh//jz27t2LX375BYcOHcLIkSPLK2QiKgbzmsjI6Xp4pZYtW4rRo0dLr3Nzc4VSqRQREREaLf/8+XNhZ2cnNm7cKLWFhISIHj16lHWoRFQGAIjt27fna799+7aoVq2aOHfunPD09BSff/65NO/ChQv5hrv77bffhEKhEHfu3NFC1ERUFOY1kfHR6cPUsrOzER8fj/DwcKnNxMQEQUFBGj3iHHjxZNucnBxUqVJF1h4TEwMXFxdUrlwZHTp0wLx58wp9SFdWVpbsyYJqtRoPHz6Ek5NTkY8xJ6IXhBB4/PgxlEolTExKfoJSrVZj0KBBmDx5Mho2bJhvflxcHBwdHdG8eXOpLSgoCCYmJjh69CjeeeedfMswr4leDfOayDhpmts6LRLu37+P3NxcuLq6ytpdXV1x6dIljdYxdepUKJVKBAUFSW2dO3dGr1694O3tjevXr+Pjjz9Gly5dEBcXB1NT03zriIiIkD0JmIhK59atW6hevXqJl1u4cCEqVaqEsWPHFjg/KSkJLi4usrZKlSqhSpUqSEpKKnAZ5jVR2WBeExmn4nJbp0XCq1qwYAG2bNmCmJgYWFpaSu39+/eXfm7cuDGaNGmCWrVqISYmBh07dsy3nvDwcISFhUmv09LSUKNGDdy6dQv29vbluxNERiA9PR0eHh6ws7Mr8bLx8fH44osvcPLkyTL9JpB5TfRqmNdExknT3NZpkeDs7AxTU1MkJyfL2pOTk+Hm5lbksosXL8aCBQuwb98+NGnSpMi+NWvWhLOzM65du1ZgkWBhYQELC4t87fb29nzTISqB0nwY+P3335GSkoIaNWpIbbm5uZg4cSIiIyNx48YNuLm55RvM4Pnz53j48GGh7xXMa6KywbwmMk7F5bZORzcyNzeHv78/oqOjpTa1Wo3o6GgEBgYWutyiRYswd+5c7Nq1S3YtY2Fu376NBw8ewN3dvUziJqKyM2jQIJw9exanT5+WJqVSicmTJ2P37t0AgMDAQKSmpiI+Pl5abv/+/VCr1QgICNBV6ERUCOY1keHT+eVGYWFhCAkJQfPmzdGyZUtERkbiyZMnGDp0KABg8ODBqFatGiIiIgC8uMZxxowZ2Lx5M7y8vKTrFm1tbWFra4uMjAzMnj0bvXv3hpubG65fv44pU6agdu3aCA4O1tl+ElVkGRkZuHbtmvQ6ISEBp0+fRpUqVVCjRo18gwqYmZnBzc0NdevWBQDUr18fnTt3xogRIxAVFYWcnByEhoaif//+BQ6rSETlj3lNZNx0XiT069cP9+7dw4wZM5CUlAQ/Pz/s2rVLupk5MTFRduf16tWrkZ2djXfffVe2npkzZ2LWrFkwNTXF2bNnsXHjRqSmpkKpVKJTp06YO3dugacoiaj8nThxAu3bt5de511THBISgg0bNmi0ju+++w6hoaHo2LEjTExM0Lt3byxbtqw8wiUiDTCviYybQgghdB2EvklPT4eDgwPS0tJ4jaMeEULg+fPnyM3N1XUoFY6pqSkqVapU6PWLhpAzhhBjRcS81i0zM7MCR/0DDCNnDCFGIn2jad7o/EwCkSays7OhUqmQmZmp61AqLGtra7i7u8Pc3FzXoZCRYF7rnkKhQPXq1WFra6vrUIhIz7BIIL2nVquRkJAAU1NTKJVKmJub86E5WiSEQHZ2Nu7du4eEhAT4+PiU6sFKRP/EvNY9IQTu3buH27dvw8fHp9AzCkRUMbFIIL2XnZ0NtVoNDw8PWFtb6zqcCsnKygpmZma4efMmsrOzZc8lISoN5rV+qFq1Km7cuIGcnBwWCUQkw68DyWDw22vd4vGn8sD/V7rFszdEVBi+OxMRERERkQyLBCIiIiIikmGRQKQn2rVrh/Hjx+s6DCIqY8xtIjJELBKI/iEpKQnjxo1D7dq1YWlpCVdXV7Ru3RqrV6/mMI1EBoy5TURUMhzdiOj//fXXX2jdujUcHR0xf/58NG7cGBYWFvjzzz+xZs0aVKtWDW+//bauwyxUbm4uFAoFbwQleglzm4io5PiOQ/T/Ro0ahUqVKuHEiRPo27cv6tevj5o1a6JHjx7YuXMnunfvDgBITU3F8OHDUbVqVdjb26NDhw44c+aMtJ5Zs2bBz88P33zzDby8vODg4ID+/fvj8ePHUp8nT55g8ODBsLW1hbu7O5YsWZIvnqysLEyaNAnVqlWDjY0NAgICEBMTI83fsGEDHB0d8fPPP6NBgwawsLBAYmJi+R0gIgPF3CYiKjkWCUQAHjx4gD179mD06NGwsbEpsE/eUIF9+vRBSkoKfvvtN8THx6NZs2bo2LEjHj58KPW9fv06duzYgV9++QW//PILDh48iAULFkjzJ0+ejIMHD+Knn37Cnj17EBMTg5MnT8q2Fxoairi4OGzZsgVnz55Fnz590LlzZ1y9elXqk5mZiYULF+Krr77C+fPn4eLiUpaHhcjgMbeJiEpJUD5paWkCgEhLS9N1KCSEePr0qbhw4YJ4+vRpuW3jjz/+EADEjz/+KGt3cnISNjY2wsbGRkyZMkX8/vvvwt7eXjx79kzWr1atWuLLL78UQggxc+ZMYW1tLdLT06X5kydPFgEBAUIIIR4/fizMzc3F999/L81/8OCBsLKyEuPGjRNCCHHz5k1hamoq7ty5I9tOx44dRXh4uBBCiPXr1wsA4vTp02VzEIpR1O/BEHLGEGKsSLSR10Iwt4vDvCaqeDTNG96TQFSEY8eOQa1WY+DAgcjKysKZM2eQkZEBJycnWb+nT5/i+vXr0msvLy/Y2dlJr93d3ZGSkgLgxTeR2dnZCAgIkOZXqVIFdevWlV7/+eefyM3NRZ06dWTbycrKkm3b3NwcTZo0KZudJapAmNtEREVjkUAEoHbt2lAoFLh8+bKsvWbNmgAAKysrAEBGRgbc3d1l1w/ncXR0lH42MzOTzVMoFFCr1RrHk5GRAVNTU8THx8PU1FQ2z9bWVvrZysqKT0wlKgJzm4iodFgkEAFwcnLCm2++iRUrVmDMmDGFXrvcrFkzJCUloVKlSvDy8irVtmrVqgUzMzMcPXoUNWrUAAA8evQIV65cQdu2bQEATZs2RW5uLlJSUvD666+XajtExNwmIiot3rhM9P9WrVqF58+fo3nz5ti6dSsuXryIy5cv49tvv8WlS5dgamqKoKAgBAYGomfPntizZw9u3LiBI0eO4JNPPsGJEyc02o6trS2GDRuGyZMnY//+/Th37hyGDBkiG96wTp06GDhwIAYPHowff/wRCQkJOHbsGCIiIrBz587yOgRERom5TURUcjyTQPT/atWqhVOnTmH+/PkIDw/H7du3YWFhgQYNGmDSpEkYNWoUFAoFfv31V3zyyScYOnQo7t27Bzc3N7zxxhtwdXXVeFufffYZMjIy0L17d9jZ2WHixIlIS0uT9Vm/fj3mzZuHiRMn4s6dO3B2dsZrr72Gt956q6x3ncioMbeJiEpOIYQQug5C36Snp8PBwQFpaWmwt7fXdTgV3rNnz5CQkABvb29YWlrqOpwKq6jfgyHkjCHEWJEwr/UD85qo4tE0b3i5ERERERERybBIICIiIiIiGRYJREREREQkwyKBiIiIiIhkWCQQEREREZEMiwQiIiIiIpJhkUBERERERDIsEoiIiIiISIZPXCaDlpiYiPv372tte87OzqhRo4bWtkdUETGviYh0j0UCGazExETUr1cPmU+fam2b1lZWuHjpksYfKIQQeP/997Ft2zY8evQIp06dgp+fX/kGWYAbN27A29tbZ9sn0hTzWnPMayIqTywSyGDdv38fmU+fYtWgwajj5lbu27uSlIRR32zC/fv3Nf4wsWvXLmzYsAExMTGoWbMmnJ2dyzlKIsPGvCYi0g8sEsjg1XFzQxMPD12HUaDr16/D3d0drVq10nUoRAaFeU1EpFu8cZmonAwZMgRjxoxBYmIiFAoFvLy8oFarERERAW9vb1hZWcHX1xfbtm2TlomJiYFCocDu3bvRtGlTWFlZoUOHDkhJScFvv/2G+vXrw97eHv/617+QmZkpLbdr1y60adMGjo6OcHJywltvvYXr168XGd+5c+fQpUsX2NrawtXVFYMGDdLqdeBEhoh5TUQVBYsEonLyxRdfYM6cOahevTpUKhWOHz+OiIgIbNq0CVFRUTh//jwmTJiA9957DwcPHpQtO2vWLKxYsQJHjhzBrVu30LdvX0RGRmLz5s3YuXMn9uzZg+XLl0v9nzx5grCwMJw4cQLR0dEwMTHBO++8A7VaXWBsqamp6NChA5o2bYoTJ05g165dSE5ORt++fcv1mBAZOuY1EVUUvNyIqJw4ODjAzs4OpqamcHNzQ1ZWFubPn499+/YhMDAQAFCzZk0cPnwYX375Jdq2bSstO2/ePLRu3RoAMGzYMISHh+P69euoWbMmAODdd9/FgQMHMHXqVABA7969Zdtet24dqlatigsXLqBRo0b5YluxYgWaNm2K+fPny5bx8PDAlStXUKdOnbI9GERGgnlNRBUFzyQQacm1a9eQmZmJN998E7a2ttK0adOmfJcQNGnSRPrZ1dUV1tbW0geJvLaUlBTp9dWrVzFgwADUrFkT9vb28PLyAvBipJiCnDlzBgcOHJDFUa9ePQAo9nKG0jh06BC6d+8OpVIJhUKBHTt2SPNycnIwdepUNG7cGDY2NlAqlRg8eDDu3r0rW8fDhw8xcOBA2Nvbw9HREcOGDUNGRkaZx0pUEsxr5jWRseKZBCItyfvDt3PnTlSrVk02z8LCQvbazMxM+lmhUMhe57X985KD7t27w9PTE2vXroVSqYRarUajRo2QnZ1daCzdu3fHwoUL881zd3cv2Y5p4MmTJ/D19cW///1v9OrVSzYvMzMTJ0+exPTp0+Hr64tHjx5h3LhxePvtt3HixAmp38CBA6FSqbB3717k5ORg6NChGDlyJDZv3lzm8RJpinnNvCYyViwSiLSkQYMGsLCwQGJiouwShFf14MEDXL58GWvXrsXrr78OADh8+HCRyzRr1gz//e9/4eXlhUqVyv9toEuXLujSpUuB8xwcHLB3715Z24oVK9CyZUskJiaiRo0auHjxInbt2oXjx4+jefPmAIDly5eja9euWLx4MZRKZbnvA1FBmNfMayJjxSKBDN6VpCSD2I6dnR0mTZqECRMmQK1Wo02bNkhLS0NsbCzs7e0REhJSqvVWrlwZTk5OWLNmDdzd3ZGYmIiPPvqoyGVGjx6NtWvXYsCAAZgyZQqqVKmCa9euYcuWLfjqq69gampaqljKSlpaGhQKBRwdHQEAcXFxcHR0lD5IAEBQUBBMTExw9OhRvPPOO/nWkZWVhaysLOl1enp6ucdNZYd5zbxmXhPpFosEMljOzs6wtrLCqG82aW2b1lZWr/TgpLlz56Jq1aqIiIjAX3/9BUdHRzRr1gwff/xxqddpYmKCLVu2YOzYsWjUqBHq1q2LZcuWoV27doUuo1QqERsbi6lTp6JTp07IysqCp6cnOnfuDBMT3d6q9OzZM0ydOhUDBgyAvb09ACApKQkuLi6yfpUqVUKVKlWQVMiHvIiICMyePbvc46Wyxbx+gXnNvCbSNYUQQug6CH2Tnp4OBwcHpKWlSW9mpDvPnj1DQkICvL29YWlpKZuXmJio1THAnZ2dNX4qq7Ep6vdQkpxRKBTYvn07evbsmW9eTk4Oevfujdu3byMmJkZa1/z587Fx40ZcvnxZ1t/FxQWzZ8/Ghx9+mG9dBX3j6OHhwbzWE8xr/cC8Jqp4NM1tnkkgg1ajRo0K+8fd2OTk5KBv3764efMm9u/fL3vjcnNzk436AgDPnz/Hw4cP4ebmVuD6LCws8t04SoaBeW08mNdEhotDoBKRzuV9kLh69Sr27dsHJycn2fzAwECkpqYiPj5eatu/fz/UajUCAgK0HS4RaYB5TWTYeCaBiMpdRkYGrl27Jr1OSEjA6dOnUaVKFbi7u+Pdd9/FyZMn8csvvyA3N1e6HrlKlSowNzdH/fr10blzZ4wYMQJRUVHIyclBaGgo+vfvzxFQiHSEeU1k3FgkEFG5O3HiBNq3by+9DgsLAwCEhIRg1qxZ+PnnnwEAfn5+suUOHDgg3aj53XffITQ0FB07doSJiQl69+6NZcuWaSV+IsqPeU1k3FgkEFG5a9euHYoaI0GT8ROqVKnCBywR6RHmNZFx4z0JREREREQkwyKBiIiIiIhkWCQQEREREZEM70kgg8aHLhEZH+Y1EZHusUggg5WYmIh69evjaWam1rZpZW2NSxcv6vQDxZAhQ5CamoodO3boLAai8sK83qGzGIiI/olFAhms+/fv42lmJgZO/QyuNWqV+/aSE6/ju4WTcf/+fX7rSFROmNdERPpBL4qElStX4rPPPkNSUhJ8fX2xfPlytGzZssC+a9euxaZNm3Du3DkAgL+/P+bPny/rL4TAzJkzsXbtWqSmpqJ169ZYvXo1fHx8tLI/pF2uNWqhuk9DXYdBRGWIeU2kPf7+/lCpVEX2cXd3lz0dm4yfzm9c3rp1K8LCwjBz5kycPHkSvr6+CA4ORkpKSoH9Y2JiMGDAABw4cABxcXHw8PBAp06dcOfOHanPokWLsGzZMkRFReHo0aOwsbFBcHAwnj17pq3dIgLwYhzxMWPGYPz48ahcuTJcXV2xdu1aPHnyBEOHDoWdnR1q166N3377DQCQm5uLYcOGwdvbG1ZWVqhbty6++OKLIrehVqsREREhLePr64tt27ZpY/eIKiTmNRkblUqF2NjYIqfiiggyPjovEpYuXYoRI0Zg6NChaNCgAaKiomBtbY1169YV2P+7777DqFGj4Ofnh3r16uGrr76CWq1GdHQ0gBdnESIjIzFt2jT06NEDTZo0waZNm3D37l1e60k6sXHjRjg7O+PYsWMYM2YMPvzwQ/Tp0wetWrXCyZMn0alTJwwaNAiZmZlQq9WoXr06fvjhB1y4cAEzZszAxx9/jO+//77Q9UdERGDTpk2IiorC+fPnMWHCBLz33ns4ePCgFveSqGJhXhORsdNpkZCdnY34+HgEBQVJbSYmJggKCkJcXJxG68jMzEROTg6qVKkCAEhISEBSUpJsnQ4ODggICCh0nVlZWUhPT5dNRGXF19cX06ZNg4+PD8LDw2FpaQlnZ2eMGDECPj4+mDFjBh48eICzZ8/CzMwMs2fPRvPmzeHt7Y2BAwdi6NChhX6YyMrKwvz587Fu3ToEBwejZs2aGDJkCN577z18+eWXWt5TooqDeU1Exk6n9yTcv38fubm5cHV1lbW7urri0qVLGq1j6tSpUCqVUlGQlJQkrePldebNe1lERARmz55d0vCJNNKkSRPpZ1NTUzg5OaFx48ZSW97/1bxL7FauXIl169YhMTERT58+RXZ2Nvz8/Apc97Vr15CZmYk333xT1p6dnY2mTZuW8Z4QUR7mNREZO724cbm0FixYgC1btiAmJgaWlpalXk94eDjCwsKk1+np6fDw8CiLEIlgZmYme61QKGRtCoUCwItrkLds2YJJkyZhyZIlCAwMhJ2dHT777DMcPXq0wHVnZGQAAHbu3Ilq1arJ5llYWJTlbhDRPzCvicjY6bRIcHZ2hqmpKZKTk2XtycnJcHNzK3LZxYsXY8GCBdi3b5/sG5285ZKTk+Hu7i5bZ2Hf2lhYWPCNl/RCbGwsWrVqhVGjRklt169fL7R/gwYNYGFhgcTERLRt21YbIRJRCTGvicgQ6bRIMDc3h7+/P6Kjo9GzZ08AkG5CDg0NLXS5RYsW4dNPP8Xu3bvRvHlz2Txvb2+4ubkhOjpaKgrS09Nx9OhRfPjhh+W1K6RDyYmF/7E1tO34+Phg06ZN2L17N7y9vfHNN9/g+PHj8Pb2LrC/nZ0dJk2ahAkTJkCtVqNNmzZIS0tDbGws7O3tERISUu4xE5UH5jXzmoh0S+eXG4WFhSEkJATNmzdHy5YtERkZKQ0jBwCDBw9GtWrVEBERAQBYuHAhZsyYgc2bN8PLy0u6z8DW1ha2trZQKBQYP3485s2bBx8fH3h7e2P69OlQKpVSIULGwdnZGVbW1vhu4WStbdPK2hrOzs7ltv73338fp06dQr9+/aBQKDBgwACMGjVKGkqxIHPnzkXVqlURERGBv/76C46OjmjWrBk+/vjjcouTqLwwr19gXhORrimEEELXQaxYsUJ6mJqfnx+WLVuGgIAAAC/Go/by8sKGDRsAAF5eXrh582a+dcycOROzZs0C8PfD1NasWYPU1FS0adMGq1atQp06dTSKJz09HQ4ODkhLS4O9vX2Z7COV3rNnz5CQkABvb+98954kJibi/v37WovF2dm5wj6VtajfgyHkjCHEWJEwr/UD85oAQKlUIjY2tsg+rVu3xt27d7UUEZUnTfNG52cSACA0NLTQy4tiYmJkr2/cuFHs+hQKBebMmYM5c+aUQXSkz2rUqFFh/7gTGSvmNRGR7un8YWpERERERKRfWCQQEREREZEMiwQiIiIiIpJhkUAGQw/usa/QePypPPD/lW7x+BNRYVgkkN7Le4ppZmamjiOp2PKO/8tPmiUqDea1fsjOzgYAmJqa6jgSItI3ejG6EVFRTE1N4ejoiJSUFACAtbU1FAqFjqOqOIQQyMzMREpKChwdHflhgsoE81r31Go17t27B2tra1SqxI8DRCTHdwUqF819/aBSFT2esru7EifOnNZofW5ubgAgfaAg7XN0dJR+D0RlgXmteyYmJqhRowYLNCLKh0UClQuV6i5OT59RZB+/uZo/x0KhUMDd3R0uLi7Iycl51fCohMzMzHgGgcoc81r3zM3NYWLCK4+JKD8WCWRQTE1N+WGVyMgwr4mI9A+/PiAiIiIiIhkWCUREREREJMMigYiIiIiIZFgkEBERERGRDIsEIiIiIiKSYZFAREREREQyLBKIiIiIiEiGRQIRlbtDhw6he/fuUCqVUCgU2LFjh2y+EAIzZsyAu7s7rKysEBQUhKtXr8r6PHz4EAMHDoS9vT0cHR0xbNgwZGRkaHEviOifmNdExo1FAhGVuydPnsDX1xcrV64scP6iRYuwbNkyREVF4ejRo7CxsUFwcDCePXsm9Rk4cCDOnz+PvXv34pdffsGhQ4cwcuRIbe0CEb2EeU1k3PjEZSIqd126dEGXLl0KnCeEQGRkJKZNm4YePXoAADZt2gRXV1fs2LED/fv3x8WLF7Fr1y4cP34czZs3BwAsX74cXbt2xeLFi6FUKrW2L0T0AvOayLjxTAJRCfg29YeLm7LIybepv67DNCgJCQlISkpCUFCQ1Obg4ICAgADExcUBAOLi4uDo6Ch9kACAoKAgmJiY4OjRowWuNysrC+np6bKJiLSDeU1k+HgmgagEVCoVwr+JKbJPxKB22gjFaCQlJQEAXF1dZe2urq7SvKSkJLi4uMjmV6pUCVWqVJH6vCwiIgKzZ88uh4iJqDjMayLDxzMJRGSUwsPDkZaWJk23bt3SdUhE9IqY10TawyKBiHTKzc0NAJCcnCxrT05Olua5ubkhJSVFNv/58+d4+PCh1OdlFhYWsLe3l01EpB3MayLDxyKBiHTK29sbbm5uiI6OltrS09Nx9OhRBAYGAgACAwORmpqK+Ph4qc/+/fuhVqsREBCg9ZiJqGjMayLDx3sSiKjcZWRk4Nq1a9LrhIQEnD59GlWqVEGNGjUwfvx4zJs3Dz4+PvD29sb06dOhVCrRs2dPAED9+vXRuXNnjBgxAlFRUcjJyUFoaCj69+/PEVCIdIR5TWTcWCQQUbk7ceIE2rdvL70OCwsDAISEhGDDhg2YMmUKnjx5gpEjRyI1NRVt2rTBrl27YGlpKS3z3XffITQ0FB07doSJiQl69+6NZcuWaX1fiOgF5jWRcWORQETlrl27dhBCFDpfoVBgzpw5mDNnTqF9qlSpgs2bN5dHeFQCzX39oFLdLXS+u7sSJ86c1l5ApDPMayLjxiKBiIg0plLdxenpMwqd7ze38A+ERERkOHjjMhERERERybBIICIiIiIiGRYJREREREQkwyKBiIiIiIhkWCQQEREREZEMiwQiIiIiIpJhkUBERERERDJ8TgJVCL5N/aFSqYrs4+7ujjOn4rUUEREREZH+YpFAFYJKpUL4NzFF9okY1E4boRARERHpPV5uREREREREMiwSiIiIiIhIhkUCERERERHJsEggIiIiIiIZFglERERERCTDIoGIiIiIiGRYJBARERERkQyfk0BERERERXr8+DGUSmWRfdzd3REfz4eSGgsWCURERERUJLVajdjY2CL7tG7dWkvRkDbwciMiIiIiIpJhkUBERERERDIsEoiIiIiISIZFAhERERERybBIICIiIiIiGZ0XCStXroSXlxcsLS0REBCAY8eOFdr3/Pnz6N27N7y8vKBQKBAZGZmvz6xZs6BQKGRTvXr1ynEPiIiIiIiMS6mKhAMHDpTJxrdu3YqwsDDMnDkTJ0+ehK+vL4KDg5GSklJg/8zMTNSsWRMLFiyAm5tboett2LAhVCqVNB0+fLhM4q0omvv6oZqLS5FTc18/XYdJREREROWkVM9J6Ny5M6pXr46hQ4ciJCQEHh4epdr40qVLMWLECAwdOhQAEBUVhZ07d2LdunX46KOP8vVv0aIFWrRoAQAFzs9TqVKlIosIKppKdRenp88oso/f3DlaioaIiIiItK1UZxLu3LmD0NBQbNu2DTVr1kRwcDC+//57ZGdna7yO7OxsxMfHIygo6O9gTEwQFBSEuLi40oQluXr1KpRKJWrWrImBAwciMTGxyP5ZWVlIT0+XTUREREREFVWpigRnZ2dMmDABp0+fxtGjR1GnTh2MGjUKSqUSY8eOxZkzZ4pdx/3795GbmwtXV1dZu6urK5KSkkoTFgAgICAAGzZswK5du7B69WokJCTg9ddfx+PHjwtdJiIiAg4ODtJU2jMjRERERNri7+8PpVJZ5OTv76/rMMlAlepyo39q1qwZ3Nzc4OTkhAULFmDdunVYtWoVAgMDERUVhYYNG5ZFnBrr0qWL9HOTJk0QEBAAT09PfP/99xg2bFiBy4SHhyMsLEx6nZ6ezkKBiIiI9JpKpUJsbGyRfVq3bq2laMjYlHp0o5ycHGzbtg1du3aFp6cndu/ejRUrViA5ORnXrl2Dp6cn+vTpU+jyzs7OMDU1RXJysqw9OTm5TO8ncHR0RJ06dXDt2rVC+1hYWMDe3l42ERERERFVVKUqEsaMGQN3d3e8//77qFOnDk6dOoW4uDgMHz4cNjY28PLywuLFi3Hp0qVC12Fubg5/f39ER0dLbWq1GtHR0QgMDCxNWAXKyMjA9evX4e7uXmbrJCIiIiIyZqW63OjChQtYvnw5evXqBQsLiwL7ODs7FztUalhYGEJCQtC8eXO0bNkSkZGRePLkiTTa0eDBg1GtWjVEREQAeHGz84ULF6Sf79y5g9OnT8PW1ha1a9cGAEyaNAndu3eHp6cn7t69i5kzZ8LU1BQDBgwoza5SIVIfPUI1F5dC5z969EiL0RARERFRWSrVmYSZM2eiT58++QqE58+f49ChQwBeDEPatm3bItfTr18/LF68GDNmzICfnx9Onz6NXbt2STczJyYmQqVSSf3v3r2Lpk2bomnTplCpVFi8eDGaNm2K4cOHS31u376NAQMGoG7duujbty+cnJzwxx9/oGrVqqXZVSpErlqN09NnFDqp1Wpdh0gGJDc3F9OnT4e3tzesrKxQq1YtzJ07F0IIqY8QAjNmzIC7uzusrKwQFBSEq1ev6jBqIioK85rIsJXqTEL79u2hUqng8tI3yWlpaWjfvj1yc3M1XldoaChCQ0MLnBcTEyN77eXlJXtzKciWLVs03jYR6YeFCxdi9erV2LhxIxo2bIgTJ05g6NChcHBwwNixYwEAixYtwrJly7Bx40Z4e3tj+vTpCA4OxoULF2BpaanjPSCilzGviQxbqYoEIQQUCkW+9gcPHsDGxuaVgyKiiuXIkSPo0aMHunXrBuDFFwL/+c9/cOzYMQAv3nMiIyMxbdo09OjRAwCwadMmuLq6YseOHejfv7/OYieigjGviQxbiYqEXr16AQAUCgWGDBkiu9woNzcXZ8+eRatWrco2QiIyeq1atcKaNWtw5coV1KlTB2fOnMHhw4exdOlSAEBCQgKSkpJkD190cHBAQEAA4uLiCvwwkZWVhaysLOk1H5JIpF3MayLDVqIiwcHBAcCL6t/Ozg5WVlbSPHNzc7z22msYMWJE2UZIREbvo48+Qnp6OurVqwdTU1Pk5ubi008/xcCBAwFAesBiSR6+GBERgdmzZ5dv4ERUKOY1kWErUZGwfv16AC9OGU6aNImXFhFRmfj+++/x3XffYfPmzWjYsCFOnz6N8ePHQ6lUIiQkpFTr5EMSiXSLeU1k2Ep1T8LMmTPLOg4iqsAmT56Mjz76SLq8oHHjxrh58yYiIiIQEhIiPWAxOTlZ9syT5ORk+Pn5FbhOCwuLQodoJqLyx7zWD48fP4ZSqSyyDy/booJoXCQ0a9YM0dHRqFy5Mpo2bVrgjct5Tp48WSbBEVHFkJmZCRMT+YjMpqam0lC63t7ecHNzQ3R0tPThIT09HUePHsWHH36o7XCJSAPMa/2gVqsRGxtbZJ9GjRppKRoyJBoXCT169JCq9549e5ZXPESkJ2rWrInjx4/DyclJ1p6amopmzZrhr7/+KrNtde/eHZ9++ilq1KiBhg0b4tSpU1i6dCn+/e9/A3gxWML48eMxb948+Pj4SEMlKpVKvh9pqLmvH1Squ0X2cXdX4sSZ09oJiHSCeU36zt/fX/aMrIK4u7sjPj5eSxFVXBoXCf+8xIiXGxEZvxs3bhT4zJOsrCzcuXOnTLe1fPlyTJ8+HaNGjUJKSgqUSiXef/99zJgxQ+ozZcoUPHnyBCNHjkRqairatGmDXbt2cSx1DalUd3F6+owi+/jNnaOlaEhXmNek71QqVbFnPlq3bq2laCq2Ut2TQETG6+eff5Z+3r17tzSqGfBiqOPo6Gh4eXmV6Tbt7OwQGRmJyMjIQvsoFArMmTMHc+bwgyxRSTGviaikNC4SKleuXOR9CP/08OHDUgdERLqVd5pfoVDkG4HEzMwMXl5eWLJkiQ4iI6LSYl4TUUlpXCQU9U0AERmPf95UePz4cTg7O+s4IiJ6VcxrIiopjYuE0o5pTESGKSEhQdchEFEZY14TkaY0LhLS09Nhb28v/VyUvH5E2uDbtPiREB6lPtJSNMYlOjoa0dHRSElJkb6JzLNu3TodRUVEr4J5TUSaKNE9CSqVCi4uLnB0dCzw/gQhBBQKRYEjJxCVF5VKhfBvYorsM6lbY63EYkxmz56NOXPmoHnz5nB3d9f4niQyXKmPHqGai0uRfR49YsFtyJjXRKQpjYuE/fv3o0qVKgCAAwcOlFtAVHFo8oGE47brTlRUFDZs2IBBgwbpOhTSkly1uthhUj3Gj9NSNFQemNdEpCmNi4S2bdsW+DNRaWnygYTjtutOdnY2WrVqpeswiKgMMa+JSFMmxXcp2KNHj7B48WIMGzYMw4YNw5IlSzj0KZERGT58ODZv3qzrMIioDDGviUhTpXqY2qFDh9C9e3c4ODigefPmAIBly5Zhzpw5+N///oc33nijTIMkIu179uwZ1qxZg3379qFJkyYwMzOTzV+6dKmOIiOi0mJeE5GmSlUkjB49Gv369cPq1athamoK4MUTG0eNGoXRo0fjzz//LNMgiUj7zp49Cz8/PwDAuXPnZPN4syORYWJeE5GmSlUkXLt2Ddu2bZMKBAAwNTVFWFgYNm3aVGbBEZHucIACIuPDvCYiTZXqnoRmzZrh4sWL+dovXrwIX1/fVw6KiIiIiIh0R+MzCWfPnpV+Hjt2LMaNG4dr167htddeAwD88ccfWLlyJRYsWFD2URKR1rVv377Iyw/279+vxWiIqCwwr4lIUxoXCX5+flAoFBBCSG1TpkzJ1+9f//oX+vXrVzbREZHO5F23nCcnJwenT5/GuXPnEBISopugiOiVMK9Jl/z9/aFSqYrsk56erqVoqDgaFwkJCQnlGQcR6ZnPP/+8wPZZs2YhIyNDy9EQUVlgXpMuqVQqxMbGFtmnUaNGWoqGiqNxkeDp6VmecRCRgXjvvffQsmVLLF68WNehEFEZYV5TWXj8+DGUSmWh87V5lkCTsxbu7u6Ij4/XUkSGp1SjG+W5cOECEhMTkZ2dLWt/++23XykoItJfcXFxsLS01HUYRFSGmNdUFtRqdZFnCrR5lkCTsxatW7fWUjSGqVRFwl9//YV33nkHf/75p+w+hbyboXJzc8suQiLSiV69esleCyGgUqlw4sQJTJ8+XUdREdGrYF4TkaZKVSSMGzcO3t7eiI6Ohre3N44dO4YHDx5g4sSJPFVJZCQcHBxkr01MTFC3bl3MmTMHnTp10lFURPQqmNdEpKlSFQlxcXHYv38/nJ2dYWJiAhMTE7Rp0wYREREYO3YsTp06VdZxEpGWrV+/XtchkAFKffQI1Vxciuzj7q7EiTOntROQBnybanbt8plThn/tMvOaiDRVqiIhNzcXdnZ2AABnZ2fcvXsXdevWhaenJy5fvlymARKRbsXHx0sPT2zYsCGaNm2q44hIn+Wq1Tg9fUaRffzmztFSNJpRqVQI/yamyD4Rg9ppIxStYV4TUXFKVSQ0atQIZ86cgbe3NwICArBo0SKYm5tjzZo1qFmzZlnHSEQ6kJKSgv79+yMmJgaOjo4AgNTUVLRv3x5btmxB1apVdRsgEZUY85qINGVSmoWmTZsGtVoNAJgzZw4SEhLw+uuv49dff8WyZcvKNEAi0o0xY8bg8ePHOH/+PB4+fIiHDx/i3LlzSE9Px9ixY3UdHhGVAvOaiDRVqjMJwcHB0s+1a9fGpUuX8PDhQ1SuXLnIx70TkeHYtWsX9u3bh/r160ttDRo0wMqVK3mDI5GBYl4TkaZe6TkJAHDr1i0AgIeHxysHQ0T6Q61Ww8zMLF+7mZmZdCaRiAwL85qINFWqy42eP3+O6dOnw8HBAV5eXvDy8oKDgwOmTZuGnJycso6RiHSgQ4cOGDduHO7evSu13blzBxMmTEDHjh11GBkRlRbzmog0VaozCWPGjMGPP/6IRYsWITAwEMCLYVFnzZqFBw8eYPXq1WUaJBFp34oVK/D222/Dy8tLOlN469YtNGrUCN9++62OoyOi0mBeE5GmSlUkbN68GVu2bEGXLl2ktiZNmsDDwwMDBgxgkUBkBDw8PHDy5Ens27cPly5dAgDUr18fQUFBOo6MiEqLeU1EmirV5UYWFhbw8vLK1+7t7Q1zc/NXjYmIdGj//v1o0KAB0tPToVAo8Oabb2LMmDEYM2YMWrRogYYNG+L333/XdZhEVALMayIqqVIVCaGhoZg7dy6ysrKktqysLHz66acIDQ0ts+CISPsiIyMxYsQI2Nvb55vn4OCA999/H0uXLtVBZERUWsxrIiopjS836tWrl+z1vn37UL16dfj6+gIAzpw5g+zsbN74RGTgzpw5g4ULFxY6v1OnTli8eLEWIyIqmG9Tf6hUqiL7uLu748ypeC1FpL+Y10RUUhoXCQ4ODrLXvXv3lr3mEKhExiE5ObnAIRLzVKpUCffu3dNiREQFU6lUCP8mpsg+EYPaaSMUvce8JqKS0rhIWL9+fXnGQUR6olq1ajh37hxq165d4PyzZ8/C3d1dy1ER0atgXhNRSZXqnoQ89+7dw+HDh3H48GF+A0FkJLp27Yrp06fj2bNn+eY9ffoUM2fOxFtvvVXm271z5w7ee+89ODk5wcrKCo0bN8aJEyek+UIIzJgxA+7u7rCyskJQUBCuXr1a5nEQGSPmNRGVVKmKhCdPnuDf//433N3d8cYbb+CNN96AUqnEsGHDkJmZWdYxEpEWTZs2DQ8fPkSdOnWwaNEi/PTTT/jpp5+wcOFC1K1bFw8fPsQnn3xSptt89OgRWrduDTMzM/z222+4cOEClixZgsqVK0t9Fi1ahGXLliEqKgpHjx6FjY0NgoODC/zQQ0RyzGsiKqlSPSchLCwMBw8exP/+9z+0bt0aAHD48GGMHTsWEydO5HMSiAyYq6srjhw5gg8//BDh4eEQQgAAFAoFgoODsXLlSri6upbpNhcuXAgPDw/ZZY3e3t7Sz0IIREZGYtq0aejRowcAYNOmTXB1dcWOHTvQv3//Mo2HyNgwr4mopEp1JuG///0vvv76a3Tp0gX29vawt7dH165dsXbtWmzbtq2sYyQiLfP09MSvv/6K+/fv4+jRo/jjjz9w//59/Prrr7I/8mXl559/RvPmzdGnTx+4uLigadOmWLt2rTQ/ISEBSUlJsgc+OTg4ICAgAHFxcQWuMysrC+np6bKJqCJjXhNRSZSqSMjMzCzwGwcXFxdebkRkRCpXrowWLVqgZcuWsksEytpff/2F1atXw8fHB7t378aHH36IsWPHYuPGjQCApKQkAMj3vuPq6irNe1lERAQcHBykiSOwEb3AvCYiTZSqSAgMDMTMmTNl1ww+ffoUs2fPRmBgYJkFR0QVg1qtRrNmzTB//nw0bdoUI0eOxIgRIxAVFVXqdYaHhyMtLU2abt26VYYRE1FxmNdEhq1U9yRERkaic+fO+R6mZmlpid27d5dpgERk/Nzd3dGgQQNZW/369fHf//4XAODm5gbgxVjv/xymMTk5GX5+fgWu08LCAhYWFuUTMBEVi3lNZNhKdSahcePGuHr1KiIiIuDn5wc/Pz8sWLAAV69eRcOGDcs6RiIycq1bt8bly5dlbVeuXIGnpyeAFzc7urm5ITo6Wpqfnp6Oo0eP8uwlkZ5iXhMZthKfScjJyUG9evXwyy+/YMSIEeURExFVMBMmTECrVq0wf/589O3bF8eOHcOaNWuwZs0aAC9GYBk/fjzmzZsHHx8feHt7Y/r06VAqlejZs6dugyeiAjGviQxbic8kmJmZlen4xStXroSXlxcsLS0REBCAY8eOFdr3/Pnz6N27N7y8vKBQKBAZGfnK6yQi3WvRogW2b9+O//znP2jUqBHmzp2LyMhIDBw4UOozZcoUjBkzBiNHjkSLFi2QkZGBXbt2wdLSUoeRE1FhmNdEhq1UlxuNHj0aCxcuxPPnz19p41u3bkVYWBhmzpyJkydPwtfXF8HBwUhJSSmwf2ZmJmrWrIkFCxZI1zK+6jqJSD+89dZb+PPPP/Hs2TNcvHgx35lKhUKBOXPmICkpCc+ePcO+fftQp04dHUVLRJpgXhMZrlIVCcePH8ePP/6IGjVqIDg4GL169ZJNmlq6dClGjBiBoUOHokGDBoiKioK1tTXWrVtXYP8WLVrgs88+Q//+/Qu9camk6yQiIiIiIrlSjW7k6OiI3r17v9KGs7OzER8fj/DwcKnNxMQEQUFBhT5EpbzWmZWVhaysLOk1H85CRERERBVZiYoEtVqNzz77DFeuXEF2djY6dOiAWbNmwcrKqsQbvn//PnJzcwt8iMqlS5dKvL5XWWdERARmz55dqm0SERERERmbEl1u9Omnn+Ljjz+Gra0tqlWrhmXLlmH06NHlFZvW8OEsRERERER/K9GZhE2bNmHVqlV4//33AQD79u1Dt27d8NVXX8HEpGS3Nzg7O8PU1BTJycmy9uTk5EJvSi6vdfLhLAQAj1JT4eKmLKbPIy1FQ0RERKQ7JSoSEhMT0bVrV+l1UFAQFAoF7t69i+rVq5dow+bm5vD390d0dLQ0HrJarUZ0dDRCQ0NLtK7yXCdVHGp1LsK/iSmyz6RujbUSCxEREZEulahIeP78eb6xi83MzJCTk1OqjYeFhSEkJATNmzdHy5YtERkZiSdPnmDo0KEAgMGDB6NatWqIiIgA8OLG5AsXLkg/37lzB6dPn4atrS1q166t0TqJiIiIiKhoJSoShBAYMmSI7NKcZ8+e4YMPPoCNjY3U9uOPP2q0vn79+uHevXuYMWMGkpKS4Ofnh127dkk3HicmJsouY7p79y6aNm0qvV68eDEWL16Mtm3bIiYmRqN1EhERERFR0UpUJISEhORre++9914pgNDQ0EIvBcr74J/Hy8sLQohXWicRERERERWtREXC+vXryysO0pLmvn5Qqe4W2efRI96cS0RERFSRlephamS4VKq7OD19RpF9PMaP01I0RERERKSPWCSQXnv0iMOSEhEREWkbiwTSa2q1msOSEhEREWkZiwQiItI7vk39oVKpiuzDs4hEROWHRQIREekdlUrFs4hERDpkUnwXIiIiIiKqSFgkEBERERGRDC83IiIiItIz/v7F35eTnp6upWioImKRQERERKRnVCoVYmNji+zTqFEjLUVDFRGLBCIiA8cnqRMRUVljkUBEZOD4JHUiIiprvHGZiIiIiIhkWCQQEREREZEMiwQiIiIiIpJhkUBERERERDIsEoiIiIiISIZFAhERERERybBIICIiIiIiGRYJREREREQkwyKBiIiIiIhkWCQQEREREZEMiwQiIiIiIpKppOsAiIiIiIg09fjxYyiVyiL7pKenayka48UzCUSkdxYsWACFQoHx48dLbc+ePcPo0aPh5OQEW1tb9O7dG8nJyboLkohKhHlNZUWtViM2NrbISQih6zANHosEojL2KDUVLm7KQiffpv66DlGvHT9+HF9++SWaNGkia58wYQL+97//4YcffsDBgwdx9+5d9OrVS0dRElFJMK+JDA8vNyIqY2p1LsK/iSl0fsSgdtoKxeBkZGRg4MCBWLt2LebNmye1p6Wl4euvv8bmzZvRoUMHAMD69etRv359/PHHH3jttdd0FTIRFYN5TWSYeCaBiPTG6NGj0a1bNwQFBcna4+PjkZOTI2uvV68eatSogbi4uALXlZWVhfT0dNlERNrHvCYyTDyTQKRleZcjFcXd3R1nTsVrKSL9sGXLFpw8eRLHjx/PNy8pKQnm5uZwdHSUtbu6uiIpKanA9UVERGD27NnlESoRaYh5TWS4WCQYkea+flCp7hbZ59GjR1qKhgpT3OVIQMW7JOnWrVsYN24c9u7dC0tLyzJZZ3h4OMLCwqTX6enp8PDwKJN1E1HxmNdEho1FghFRqe7i9PQZRfbxGD9OS9EQaS4+Ph4pKSlo1qyZ1Jabm4tDhw5hxYoV2L17N7Kzs5Gamir71jE5ORlubm4FrtPCwgIWFhblHToRFYJ5TWTYWCQQkc517NgRf/75p6xt6NChqFevHqZOnQoPDw+YmZkhOjoavXv3BgBcvnwZiYmJCAwM1EXIRFQM5jWRYWORQHpNCDXm9i36j4Xp8+daiobKi52dHRo1aiRrs7GxgZOTk9Q+bNgwhIWFoUqVKrC3t8eYMWMQGBjIEVCI9BTzmsiwsUggvbdxyNgi5/f+gjexVQSff/45TExM0Lt3b2RlZSE4OBirVq3SdVhE9AqY10T6i0UCEemlmJgY2WtLS0usXLkSK1eu1E1AZJA0GU3sUSoHdNAW5vUL/v7+UKlURfbh8K6kaywSiIjIaGkymtikbo21EgtRHpVKhdjY2CL7vHypFpG28WFqREREREQkwzMJRER6jM8/ISIiXWCRQESkx/j8EyIi0gUWCUREpFUP7t+HpWnRf34EhJaiISKigrBIICIirRIAto2dXmQfDm1MRKRbvHGZiIiIiIhkWCQQEREREZEMiwQiIiIiIpJhkUBERERERDIsEoiIiIiISIZFAhERERERyXAIVNIZIQQ+W7JE12EQERER0UtYJJBOvf7OkCLnf8Gx0omIiIi0jpcbERERERGRjF4UCStXroSXlxcsLS0REBCAY8eOFdn/hx9+QL169WBpaYnGjRvj119/lc0fMmQIFAqFbOrcuXN57gIRERERkdHQeZGwdetWhIWFYebMmTh58iR8fX0RHByMlJSUAvsfOXIEAwYMwLBhw3Dq1Cn07NkTPXv2xLlz52T9OnfuDJVKJU3/+c9/tLE7REREREQGT+dFwtKlSzFixAgMHToUDRo0QFRUFKytrbFu3boC+3/xxRfo3LkzJk+ejPr162Pu3Llo1qwZVqxYIetnYWEBNzc3aapcubI2doeIiIiIyODptEjIzs5GfHw8goKCpDYTExMEBQUhLi6uwGXi4uJk/QEgODg4X/+YmBi4uLigbt26+PDDD/HgwYNC48jKykJ6erpsIiIiIiKqqHQ6utH9+/eRm5sLV1dXWburqysuXbpU4DJJSUkF9k9KSpJed+7cGb169YK3tzeuX7+Ojz/+GF26dEFcXBxMTU3zrTMiIgKzZ3MUHSIiKtij1FS4uCmL7OPu7o4zp+K1FBERvarHjx9DqSw+r+PjK2ZeG+UQqP3795d+bty4MZo0aYJatWohJiYGHTt2zNc/PDwcYWFh0uv09HR4eHhoJVYiItJ/anUuwr+JKbJPxKB22giFiMqIWq1GbGxskX1at26tpWj0j06LBGdnZ5iamiI5OVnWnpycDDc3twKXcXNzK1F/AKhZsyacnZ1x7dq1AosECwsLWFhYlGIPiIiIXuDZBiLjU5HPNui0SDA3N4e/vz+io6PRs2dPAC+quujoaISGhha4TGBgIKKjozF+/Hipbe/evQgMDCx0O7dv38aDBw/g7u5eluETERFJeLaByPhU5LMNOh/dKCwsDGvXrsXGjRtx8eJFfPjhh3jy5AmGDh0KABg8eDDCw8Ol/uPGjcOuXbuwZMkSXLp0CbNmzcKJEyekoiIjIwOTJ0/GH3/8gRs3biA6Oho9evRA7dq1ERwcrJN9JCIiIiIyJDq/J6Ffv364d+8eZsyYgaSkJPj5+WHXrl3SzcmJiYkwMfm7lmnVqhU2b96MadOm4eOPP4aPjw927NiBRo0aAQBMTU1x9uxZbNy4EampqVAqlejUqRPmzp3LS4qIiIiIiDSg8yIBAEJDQwu9vCgmJiZfW58+fdCnT58C+1tZWWH37t1lGZ5eaO7rB5XqbpF9Hj16pKVoiieEwGdLlug6DCIiIiIqBb0oEqh4KtVdnJ4+o8g+HuPHaSkazbz+zpAi53/xBYedJSIiItJHOr8ngYiIiIiI9AuLBCIiIiIikuHlRkR6iOOtExERkS6xSCDSQxxvvWIwtAEJiKh4/v7+UKlURfZJT0/XUjREpccigYhIRwxxQAIiKppKpSr24Vt5w7YT6TPek0BERERERDI8k0AGTwFgbt/AIvuYPn+unWCoVCIiIvDjjz/i0qVLsLKyQqtWrbBw4ULUrVtX6vPs2TNMnDgRW7ZsQVZWFoKDg7Fq1SrpwYtEpF+Y10SGjUUCGYWNQ8YWOb83n8mg1w4ePIjRo0ejRYsWeP78OT7++GN06tQJFy5cgI2NDQBgwoQJ2LlzJ3744Qc4ODggNDQUvXr1Kva0PhHpBvOayLCxSCAindu1a5fs9YYNG+Di4oL4+Hi88cYbSEtLw9dff43NmzejQ4cOAID169ejfv36+OOPP/Daa6/pImwqAJ+2TnmY10SGjUUCEemdtLQ0AECVKlUAAPHx8cjJyUFQUJDUp169eqhRowbi4uIK/DCRlZWFrKws6TVHE9EePm2dCsK8JjIsLBKISK+o1WqMHz8erVu3lkYASUpKgrm5ORwdHWV9XV1dkZSUVOB6IiIiMHs2P4waKt5rZFyY10SGh0UCEemV0aNH49y5czh8+PArrSc8PBxhYWHS6/T0dHh4eLxqeKRFvNfIeDCviQwPiwQi0huhoaH45ZdfcOjQIVSvXl1qd3NzQ3Z2NlJTU2XfOiYnJ8PNza3AdVlYWMDCwqK8QyaiYjCviQwTn5NARDonhEBoaCi2b9+O/fv3w9vbWzbf398fZmZmiI6OltouX76MxMREBAYWfUkKEekG85rIsPFMAhHp3OjRo7F582b89NNPsLOzk65HdnBwgJWVFRwcHDBs2DCEhYWhSpUqsLe3x5gxYxAYGMgRUIj0FPOayLCxSCAinVu9ejUAoF27drL29evXY8iQIQCAzz//HCYmJujdu7fsoUtEpJ+Y10SGjUUCEemcEKLYPpaWlli5ciVWrlyphYioMHwOAmmKeU1k2FgkEBFRiRT1HAQ+A4GIyDjwxmUiIiIiIpLhmQQiIiIteZSaChc3ZaHz3d3dceZUvBYjIqJX9fjxYyiVhec18CK34+MNK7dZJFCFwKe3EpE+UKtzEf5NTKHzIwa101YoRFRG1Go1YmNji+zTunVrLUVTdlgkUIXBp7cSERERaYb3JBARERERkQzPJBARkUHiZYREROWHRQIRERksXkZIRFQ+eLkRERERERHJsEggIiIiIiIZFglERERERCTDIoGIiIiIiGRYJBARERERkQyLBCIiIiIikmGRQEREREREMiwSiIiIiIhIhkUCERERERHJ8InLeqC5rx9UqrtF9nn06JGWoiEiIiKiio5Fgh5Qqe7i9PQZRfbxGD9OS9EQERERUUXHIoGIqBzwDCGR8fH394dKpSqyT3p6upaiISpfLBIoHyEEPluypNg+RFQ4niEkMj4qlQqxsbFF9mnUqJGWoiEqXywSqECvvzOkyPlffDFbO4EQERERkdZxdCMiIiIiIpJhkUBERERERDIsEoiIiIiISIZFAhERERERyfDGZSKiCoCjlhERUUmwSKBSK+4Dh6FRAJjbN7DIPqbPn2snmDLi27T4Mb3d3d1x5lS8liIiXeKoZUREpCkWCVRqRX3gMNQPGxuHjC1yfm8D2y+VSoXwb2KK7BMxqJ02QiHSCWMs/omItIFFAhERGTVjK/6JiLSBRUI5a+7rB5XqbpF9Hj16pKVoyJg8Sk2Fi5uymD7F/9/SZD28JEnOmPPa2C4jNEa8jLD8+PsXfWzT09O1GA1VJMX93wNe5HV8vPbymkVCOVOp7uL09BlF9vEYP05L0ZAxUatzi72UaFK3xmWyHl6SJGfMec37FvQfLyMsPyqVCrGxsYXOb9SokRajoYqkuP97ANC6dWstRfMCiwSiEuD1zUTGR5/ymmcIiYzT48ePoVQWnpOanKUqbh1A2Z5t0IsiYeXKlfjss8+QlJQEX19fLF++HC1btiy0/w8//IDp06fjxo0b8PHxwcKFC9G1a1dpvhACM2fOxNq1a5GamorWrVtj9erV8PHx0cbu6AyHONQOXt+sWyV9vyDShL7kdUU9Q8i8JmOnVqtf+SxVcesAyvZsg86LhK1btyIsLAxRUVEICAhAZGQkgoODcfnyZbi4uOTrf+TIEQwYMAARERF46623sHnzZvTs2RMnT56UDvCiRYuwbNkybNy4Ed7e3pg+fTqCg4Nx4cIFWFpallns+nhdMi8VIGNW0vcLItJ/zGsi/aTzImHp0qUYMWIEhg4dCgCIiorCzp07sW7dOnz00Uf5+n/xxRfo3LkzJk+eDACYO3cu9u7dixUrViAqKgpCCERGRmLatGno0aMHAGDTpk1wdXXFjh070L9//zKL3ZivSybSRyV9vyit4r4A0GbxzzOEZOy0ldea3BjKG5OJ/qbTIiE7Oxvx8fEIDw+X2kxMTBAUFIS4uLgCl4mLi0NYWJisLTg4GDt27AAAJCQkICkpCUFBQdJ8BwcHBAQEIC4ursAiISsrC1lZWdLrtLQ0AMW/WajVajx++rTIPkIIrfbJzHqmtfUU1acs1mHIfZ49ySj1fH3so1ari8yHvHnl+WG1pO8Xpc1rALhz5zZip0wtdH79j6ZqNa/9uxb95YZYvUArea1JH33MR23kdVn1YV6XZ17fwZ49e4rs89prr+Hx48eFzhdCFDmffYruo0+x6FufstpOcXkNlCC3hQ7duXNHABBHjhyRtU+ePFm0bNmywGXMzMzE5s2bZW0rV64ULi4uQgghYmNjBQBx9+5dWZ8+ffqIvn37FrjOmTNnCgCcOHF6xenWrVulfTsoVknfL5jXnDiVzcS85sTJOKficlvnlxvpg/DwcNnZCbVajYcPH8LJyQkKhUKHkb2a9PR0eHh44NatW7C3t9d1ODrH4yFXlsdD/P+3G8WNuqBNzOuKgcdDjnltmPj/WI7HQ66sj4emua3TIsHZ2RmmpqZITk6WtScnJ8PNza3AZdzc3Irsn/dvcnIy3N3dZX38/PwKXKeFhQUsLCxkbY6OjiXZFb1mb2/PJPsHHg+5sjoeDg4OZRBN4Ur6fsG8rlh4POSY14aJ/4/leDzkyvJ4aJLbJmWypVIyNzeHv78/oqOjpTa1Wo3o6GgEBhY8ZnVgYKCsPwDs3btX6u/t7Q03NzdZn/T0dBw9erTQdRKR/ivN+wUR6TfmNZH+0vnlRmFhYQgJCUHz5s3RsmVLREZG4smTJ9IoB4MHD0a1atUQEREBABg3bhzatm2LJUuWoFu3btiyZQtOnDiBNWvWAAAUCgXGjx+PefPmwcfHRxoCValUomfPnrraTSIqA8W9XxCR4WFeE+knnRcJ/fr1w7179zBjxgwkJSXBz88Pu3btgqurKwAgMTERJiZ/n/Bo1aoVNm/ejGnTpuHjjz+Gj48PduzYIXsIxZQpU/DkyROMHDkSqampaNOmDXbt2lWmz0gwBBYWFpg5c2a+U7MVFY+HnCEej+LeLyoCQ/y9lSceDzlDPB7Ma8P8vZUnHg85XR0PhRAcYJuIiIiIiP6m03sSiIiIiIhI/7BIICIiIiIiGRYJREREREQkwyKBiIiIiIhkWCQYmEOHDqF79+5QKpVQKBTYsWNHvj4XL17E22+/DQcHB9jY2KBFixZITEyU5j979gyjR4+Gk5MTbG1t0bt373wPsjEUxR2PjIwMhIaGonr16rCyskKDBg0QFRUl62NMxyMiIgItWrSAnZ0dXFxc0LNnT1y+fFnWR5P9TUxMRLdu3WBtbQ0XFxdMnjwZz58/1+auVDjM7b8xr+WY14aLeS3H3P6bIeQ1iwQD8+TJE/j6+mLlypUFzr9+/TratGmDevXqISYmBmfPnsX06dNlw79OmDAB//vf//DDDz/g4MGDuHv3Lnr16qWtXShTxR2PsLAw7Nq1C99++y0uXryI8ePHIzQ0FD///LPUx5iOx8GDBzF69Gj88ccf2Lt3L3JyctCpUyc8efJE6lPc/ubm5qJbt27Izs7GkSNHsHHjRmzYsAEzZszQxS5VGMztvzGv5ZjXhot5Lcfc/ptB5LUggwVAbN++XdbWr18/8d577xW6TGpqqjAzMxM//PCD1Hbx4kUBQMTFxZVXqFpR0PFo2LChmDNnjqytWbNm4pNPPhFCGPfxEEKIlJQUAUAcPHhQCKHZ/v7666/CxMREJCUlSX1Wr14t7O3tRVZWlnZ3oIJibv+NeZ0f89owMa/lmNty+pjXPJNgRNRqNXbu3Ik6deogODgYLi4uCAgIkJ3Oi4+PR05ODoKCgqS2evXqoUaNGoiLi9NB1OWrVatW+Pnnn3Hnzh0IIXDgwAFcuXIFnTp1AmD8xyMtLQ0AUKVKFQCa7W9cXBwaN24se5BRcHAw0tPTcf78eS1GT3mY23LMa+a1MWBe51eRc1sf85pFghFJSUlBRkYGFixYgM6dO2PPnj1455130KtXLxw8eBAAkJSUBHNzczg6OsqWdXV1RVJSkg6iLl/Lly9HgwYNUL16dZibm6Nz585YuXIl3njjDQDGfTzUajXGjx+P1q1bS08k12R/k5KS8j3pNO+1oR8TQ8XclmNeM6+NAfM6v4qa2/qa15VeeQ2kN9RqNQCgR48emDBhAgDAz88PR44cQVRUFNq2bavL8HRi+fLl+OOPP/Dzzz/D09MThw4dwujRo6FUKmXVuTEaPXo0zp07h8OHD+s6FHpFzG055jXz2hgwr/OrqLmtr3nNIsGIODs7o1KlSmjQoIGsvX79+tJ/PDc3N2RnZyM1NVVWnSYnJ8PNzU2b4Za7p0+f4uOPP8b27dvRrVs3AECTJk1w+vRpLF68GEFBQUZ7PEJDQ/HLL7/g0KFDqF69utSuyf66ubnh2LFjsvXljaZgyMfEkDG3/8a8Zl4bC+a1XEXNbX3Oa15uZETMzc3RokWLfENoXblyBZ6engAAf39/mJmZITo6Wpp/+fJlJCYmIjAwUKvxlrecnBzk5OTAxET+39zU1FT6BsfYjocQAqGhodi+fTv2798Pb29v2XxN9jcwMBB//vknUlJSpD579+6Fvb19vj9mpB3M7b8xr5nXxoJ5LVfRctsg8vqVb30mrXr8+LE4deqUOHXqlAAgli5dKk6dOiVu3rwphBDixx9/FGZmZmLNmjXi6tWrYvny5cLU1FT8/vvv0jo++OADUaNGDbF//35x4sQJERgYKAIDA3W1S6+kuOPRtm1b0bBhQ3HgwAHx119/ifXr1wtLS0uxatUqaR3GdDw+/PBD4eDgIGJiYoRKpZKmzMxMqU9x+/v8+XPRqFEj0alTJ3H69Gmxa9cuUbVqVREeHq6LXaowmNt/Y17LMa8NF/Najrn9N0PIaxYJBubAgQMCQL4pJCRE6vP111+L2rVrC0tLS+Hr6yt27NghW8fTp0/FqFGjROXKlYW1tbV45513hEql0vKelI3ijodKpRJDhgwRSqVSWFpairp164olS5YItVotrcOYjkdBxwKAWL9+vdRHk/29ceOG6NKli7CyshLOzs5i4sSJIicnR8t7U7Ewt//GvJZjXhsu5rUcc/tvhpDXiv8PlIiIiIiICADvSSAiIiIiopewSCAiIiIiIhkWCUREREREJMMigYiIiIiIZFgkEBERERGRDIsEIiIiIiKSYZFAREREREQyLBKIiIiIiEiGRQKVGy8vL0RGRmrc/8aNG1AoFDh9+rRO4yiNIUOGoGfPnuW6DSJ9wLwmMj7MayoIiwTKp7AEiomJgUKhQGpqqkbrOX78OEaOHFmmsW3YsAGOjo752tu1aweFQpFvev78ebnEQWRomNdExod5TeWJRQKVm6pVq8La2lpr2xsxYgRUKpVsqlSpktbjIDJmzGsi48O8poKwSKBSO3z4MF5//XVYWVnBw8MDY8eOxZMnT6T5L582vHTpEtq0aQNLS0s0aNAA+/btg0KhwI4dO2Tr/euvv9C+fXtYW1vD19cXcXFxAF58MzJ06FCkpaVJ3zzMmjVLWs7a2hpubm6y6eU4YmJiYG5ujt9//11abtGiRXBxcUFycjIA4NatW+jbty8cHR1RpUoV9OjRAzdu3JD65+bmIiwsDI6OjnBycsKUKVMghCiDI0qke8xr5jUZH+Y187o0WCRQqVy/fh2dO3dG7969cfbsWWzduhWHDx9GaGhogf1zc3PRs2dPWFtb4+jRo1izZg0++eSTAvt+8sknmDRpEk6fPo06depgwIABeP78OVq1aoXIyEjY29tL3zxMmjSpRHG3a9cO48ePx6BBg5CWloZTp05h+vTp+Oqrr+Dq6oqcnBwEBwfDzs4Ov//+O2JjY2Fra4vOnTsjOzsbALBkyRJs2LAB69atw+HDh/Hw4UNs3769ZAeQSA8xr5nXZHyY18zrUhNELwkJCRGmpqbCxsZGNllaWgoA4tGjR2LYsGFi5MiRsuV+//13YWJiIp4+fSqEEMLT01N8/vnnQgghfvvtN1GpUiWhUqmk/nv37hUAxPbt24UQQiQkJAgA4quvvpL6nD9/XgAQFy9eFEIIsX79euHg4JAv5rZt2wozMzNZvGFhYfniEEKIrKws4efnJ/r27SsaNGggRowYIc375ptvRN26dYVarZb1t7KyErt37xZCCOHu7i4WLVokzc/JyRHVq1cXPXr00PAIE2kf85p5TcaHec28Lk+VdFOakL5r3749Vq9eLWs7evQo3nvvPQDAmTNncPbsWXz33XfSfCEE1Go1EhISUL9+fdmyly9fhoeHh3RKEQBatmxZ4LabNGki/ezu7g4ASElJQb169YqMeeDAgbJvOwq6YQoAzM3N8d1336FJkybw9PTE559/Ls07c+YMrl27Bjs7O9kyz549w/Xr15GWlgaVSoWAgABpXqVKldC8eXOewiS9x7xmXpPxYV4zr8sLiwQqkI2NDWrXri1ru337tvRzRkYG3n//fYwdOzbfsjVq1HilbZuZmUk/KxQKAIBarS52OQcHh3wxF+bIkSMAgIcPH+Lhw4ewsbEB8GK//P39ZW+meapWrarRuon0FfOaeU3Gh3nNvC4vLBKoVJo1a4YLFy5onOR169bFrVu3kJycDFdXVwAvhlwrKXNzc+Tm5pZ4uX+6fv06JkyYgLVr12L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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# replace all values lower than 100cm by NaN, in a new column HeighFixed\n", "adults['HeightFixed']=adults['Height'].mask(adults['Height']<100, np.nan)\n", "figure, axes = plt.subplots(1, 3, figsize=(9,4))\n", "sns.histplot(data = adults, x='HeightFixed', hue='Gender', \n", " hue_order=['female', 'male'], palette=['C3', 'C0'],\n", " stat=\"probability\", common_norm=False, ax=axes[0])\n", "sns.histplot(data = adults, x='HeightFixed', hue='Gender', \n", " hue_order=['female', 'male'], palette=['C3', 'C0'],\n", " ax=axes[1])\n", "sns.histplot(data = adults, x='HeightFixed', ax=axes[2], color='lightgray')\n", "axes[0].set_ylim(0,0.25)\n", "axes[1].set_ylim(0,140)\n", "axes[2].set_ylim(0,140)\n", "axes[0].set_title('Probabilities')\n", "axes[1].set_title('Counts')\n", "axes[2].set_title('Counts combined')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "RBserFQvTvIC" }, "source": [ "## Probability distributions\n", "\n", "* For a continuous variable, we can imagine a histogram of a great number of values with tiny bins, keeping the area under the histogram equal to one.\n", "* In limit we obtain **probability density function** (PDF) (hustota rozdelenia pravdepodobnosti).\n", "* We often assume that our data are a small sample from one of the well-characterized probability distributions (rozdelenie pravdepodobnosti).\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "V_TMjzu2lPk6" }, "source": [ "### Normal (Gaussian) distribution\n", "\n", "\n", "* The normal (or Gaussian) distribution has two parameters: mean $\\mu$ and standard deviation $\\sigma$.\n", "* Its density is\n", "$f(x) = \\frac{1}{\\sigma \\sqrt{2\\pi} } e^{-\\frac{1}{2}\\left(\\frac{x-\\mu}{\\sigma}\\right)^2}$.\n", "* This is the well-known bell shape.\n", "* Below we plot both histogram of a million samples from this distribution and the density given by the function above.\n", "* These two plots are very similar." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 294 }, "executionInfo": { "elapsed": 19209, "status": "ok", "timestamp": 1618302226624, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "EQXXkCWdx4h8", "outputId": "840425a8-6544-4a89-825b-c43fd1efb91e" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, axes = plt.subplots(1, 2, sharex=True, \n", " figsize=(8, 3.5), layout=\"constrained\")\n", "\n", "# sample million points from the normal distrib. with mean 0 and std. dev. 3\n", "sample_normal = np.random.normal(0, 3, 1000000)\n", "# create histogram of the sampled points\n", "sns.histplot(x=sample_normal, bins=200, ax=axes[0])\n", "axes[0].set_title('Histogram of 1M samples, 200 bins')\n", "\n", "# create an object representing normal distrib. with mean 0 and std. dev. 3\n", "normal = scipy.stats.norm(0, 3)\n", "# create equally-spaced points\n", "x = np.arange(-12, 12, 0.1)\n", "# compute values of pdf in these points\n", "y = normal.pdf(x)\n", "# plot the function\n", "axes[1].plot(x, y, 'k-')\n", "axes[1].set_title('Probability density function')\n", "axes[1].set_ylim(0, 0.14)\n", "\n", "figure.suptitle(\"Normal distribution with mean 0, standard dev. 3\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "fvb2anQ48fnT" }, "source": [ "* Normal distribution often arises in situations where a variable is a result of many small influences.\n", "* One example is the height of a person within one gender and population.\n", "* Below we fit the normal distribution to the histogram of the adult male heights from the FSEV survey.\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "executionInfo": { "elapsed": 19579, "status": "ok", "timestamp": 1618302227000, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "JNw8ypDUqfaT", "outputId": "ebbdd315-7c1b-4060-e8f6-5c8909472ef9" }, "outputs": [ { "data": { "text/markdown": [ "**Mean male height:** 181.92" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "**Std. dev. male height:** 6.96" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/markdown": [ "**Best fit:**" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(np.float64(181.91820580474933), np.float64(6.948066753375318))" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# select male height, drop missing values\n", "male_heights = adults.query(\"Gender=='male'\")['Height'].dropna()\n", "# compute the characteristics (mean, stdev)\n", "display(Markdown(f\"**Mean male height:** {male_heights.mean():.2f}\"), \n", " Markdown(f\"**Std. dev. male height:** {male_heights.std():.2f}\"))\n", "\n", "# compute the best fit \n", "parameters = scipy.stats.norm.fit(male_heights)\n", "display(Markdown(\"**Best fit:**\"), parameters)\n", "\n", "# get function values for regularly distributed x values\n", "x = np.arange(150, 200, 1)\n", "pdf_fitted = scipy.stats.norm.pdf(x, loc=parameters[0], scale=parameters[1])\n", "\n", "# plot histogram, normalized as density (area=1)\n", "figure, axes = plt.subplots(figsize=(5,3))\n", "sns.histplot(x=male_heights, stat='density', ax=axes)\n", "# add a line for fitted density \n", "axes.plot(x, pdf_fitted, 'k-')\n", "axes.set_title('Male heights with normal distribution fit')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "_umDfetamNbR" }, "source": [ "## Kernel density estimation and violin plots\n", "\n", "### Kernel Density Estimation (KDE)\n", "\n", "* KDE is a smoothed version of a histogram.\n", "* We choose a kernel function, e.g. the normal distribution.\n", "* For each point in the dataset, the method creates a \"kernel\" centered at that point.\n", "* It then adds up the heights of all kernel copies.\n", "* The amount of smoothing is controled by the bandwidth parameter (standard deviation for the normal distribution).\n", "* More information is in [the scikit-learn documentation](https://scikit-learn.org/stable/modules/density.html).\n", "\n", "\n", "\n", "https://commons.wikimedia.org/wiki/File:Comparison_of_1D_histogram_and_KDE.png Drleft at English Wikipedia, CC BY-SA 3.0 \n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "MleJUdJ_EReX" }, "source": [ "* KDE can be conveniently computed directly [in Seaborn's displot/kdeplot functions](https://seaborn.pydata.org/tutorial/distributions.html).\n", "* The bandwidth is adjusted by `bw_adjust`, with default 1.\n", "* A small bandwidth leads to a bumpy plot not representing real trends.\n", "* A large bandwidth can obscure real trends.\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 241 }, "executionInfo": { "elapsed": 19917, "status": "ok", "timestamp": 1618302227345, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "UYv4UZy62yBH", "outputId": "eb0be16a-9afd-4577-e074-f971c1affd28" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, axes = plt.subplots(1, 3, sharex=True, sharey=True, figsize=(9,2.5))\n", "for axes, bandwidth in [(axes[0], 0.25), (axes[1], 1), (axes[2], 4)]:\n", " sns.kdeplot(x=countries[\"Expectancy2020\"], ax=axes, bw_adjust=bandwidth)\n", " axes.set_title(f'Bandwidth {bandwidth}')\n", " axes.set_xlim(40,100) \n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "VZ_WzxjbHl9Q" }, "source": [ "We can display combined histogram and KDE." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 369 }, "executionInfo": { "elapsed": 20161, "status": "ok", "timestamp": 1618302227596, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "Ql8XueeHHNyD", "outputId": "94c3cef0-bafc-4c8b-d9e3-b57a3be5e4db" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = sns.displot(countries, x=\"Expectancy2020\", kde=True)\n", "axes.figure.set_size_inches(5, 3)\n", "pass\n" ] }, { "cell_type": "markdown", "metadata": { "id": "JhbBJiosIH4c" }, "source": [ "KDE plots can be also better for comparing multiple distributions, as their smooth curves are easier to follow than histograms." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 350 }, "executionInfo": { "elapsed": 20794, "status": "ok", "timestamp": 1618302228235, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "CUIePIleH9mq", "outputId": "b2a7a5da-506a-45f2-90f9-e0253be40902" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, axes = plt.subplots(1, 2, sharex=True, figsize=(9,5))\n", "sns.kdeplot(x=countries[\"Expectancy2020\"], hue=countries[\"Region\"], ax=axes[0])\n", "axes[0].set_ylim(0, 0.05)\n", "axes[0].set_title('Common normalization')\n", "sns.kdeplot(x=countries[\"Expectancy2020\"], hue=countries[\"Region\"], \n", " common_norm=False, ax=axes[1])\n", "axes[1].set_title('Separate normalization')\n", "axes[1].set_ylim(0, 0.35)\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "SH_rJ47-mmdt" }, "source": [ "### Violin plots\n", "\n", "* [Violin plots](https://seaborn.pydata.org/generated/seaborn.violinplot.html) are often used instead of boxplots to compare distributions for different values of a categorical variable.\n", "* Each violin consist of two symmetric KDE plots.\n", "* They can be accompanied by a boxplot or strip plot.\n", "* More variants can be found in the [Seaborn tutorial](https://seaborn.pydata.org/tutorial/categorical.html).\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 279 }, "executionInfo": { "elapsed": 21589, "status": "ok", "timestamp": 1618302229035, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "osssagdv6vFn", "outputId": "eda61d91-316a-4190-8591-58f05179ef0a" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.violinplot(data=countries, y=\"Region\", x=\"Expectancy2020\", color=\"lightgrey\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Two-dimensional histograms / KDE\n", "\n", "* Instead of scatterplots, we can compute 2D histograms shown as a heatmap or smooth them by KDE.\n", "* This works well if we have many overlapping points.\n", "* Below we show several variants for the plot height vs. weight of adults in the FSEV survey (with the height outlier removed).\n", "* In scatterplot there is a cloud of overlapping points and it is not clear which parts of it are denser. This can be somewhat improved with smaller points and transparency." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = sns.scatterplot(data=adults, x='HeightFixed', y='Weight')\n", "axes.figure.set_size_inches(5, 3)\n", "axes.set_title('Scatterplot of height vs weight')\n", "pass" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot with smaller points (s=4) and transparency (alpha=0.6)\n", "axes = sns.scatterplot(data=adults, x='HeightFixed', y='Weight', s=4, alpha=0.6)\n", "axes.figure.set_size_inches(5, 3)\n", "axes.set_title('Scatterplot of height vs weight with transparency')\n", "pass" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = sns.displot(data=adults, x='HeightFixed', y='Weight')\n", "grid.figure.set_size_inches(4, 3)\n", "grid.ax.set_title('Heatmap (2D histogram) of height vs weight')\n", "pass" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = sns.displot(data=adults, x='HeightFixed', y='Weight', kind=\"kde\")\n", "grid.figure.set_size_inches(4, 3)\n", "grid.ax.set_title('2D KDE of height vs weight: isolines')\n", "pass" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = sns.displot(data=adults, x='HeightFixed', y='Weight', kind=\"kde\", fill=True)\n", "grid.figure.set_size_inches(4, 3)\n", "grid.ax.set_title('2D KDE of height vs weight: color scale')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "3H0khY8cmh7m" }, "source": [ "## Cumulative distribution function\n", "\n", "For a probability density function $f(x)$:\n", "\n", "* Its cumulative distribution function (CDF) (distribučná funkcia) is the area under the curve from left up to point $x$.\n", "* $F(x) = \\int_{-\\infty}^x f(t)\\,dt$.\n", "* CDF is non-decreasing.\n", "* $\\lim_{x\\to -\\infty}F(x)=0$ and $\\lim_{x\\to \\infty}F(x)=1$.\n", "* $F(x)$ is the probability that the random point from the distribution is $\\le x$.\n", "\n", "\n", "\n", "https://commons.wikimedia.org/wiki/File:Normal_Distribution_CDF.svg\n", "Inductiveload, Public domain \n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(figure, axes) = plt.subplots(1, 2, figsize=(10, 4), sharex=True)\n", "\n", "normal = scipy.stats.norm(0, 1)\n", "# create equally-spaced points\n", "width = 4\n", "x = np.arange(-width, width, 0.02)\n", "chosen_x = -1.1\n", "x2 = np.arange(-width, chosen_x, 0.02)\n", "# compute values of pdf in these points\n", "y_density = normal.pdf(x)\n", "y_cdf = normal.cdf(x)\n", "chosen_y = normal.cdf(chosen_x)\n", "# plot the function\n", "axes[0].plot(x, y_density, 'k-')\n", "axes[0].fill_between(x2, y_density[0:len(x2)], 0, alpha=0.4, color='red')\n", "axes[0].text(x=chosen_x-1, y=0.02, s=f'{chosen_y:.2f}', color='red')\n", "axes[0].set_title('Probability density function')\n", "axes[0].set_ylim(0, 0.42)\n", "axes[0].set_xlim(-width, width)\n", "axes[0].set_xticks([-4, chosen_x, 0, 4])\n", "axes[0].set_yticks([0, 0.1, 0.2, 0.3, 0.4])\n", "axes[1].plot(x, y_cdf, 'k-')\n", "axes[1].plot([chosen_x, chosen_x, -width], [0, chosen_y, chosen_y], 'r-')\n", "axes[1].set_title('Cumulative distribution function')\n", "axes[1].set_ylim(0, 1)\n", "axes[1].set_yticks([0, chosen_y, 0.5, 1])\n", "axes[1].yaxis.set_major_formatter('{x:.2f}')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "7ja2DNAb-vZJ" }, "source": [ "### Empirical cumulative distribution function (ECDF)\n", "\n", "* This is a similar concept for a finite sample.\n", "* For each $x$, $F(x)$ is the fraction of the sample which is $\\le x$.\n", "* This gives us a step-wise function which can be visualized.\n", "* Unlike histograms and KDE, no parameters need to be set (bins, bandwidth).\n", "* Allows comparison of multiple distributions and their quantiles (how?).\n", "* But harder to interpret than histogram in terms of shape." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 745 }, "executionInfo": { "elapsed": 22045, "status": "ok", "timestamp": 1618302229498, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "gx6GQyKW_cB4", "outputId": "d2855f6e-950d-40f4-9e00-e8fb5bf0191b" }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "grid = sns.displot(adults, x=\"HeightFixed\", hue=\"Gender\", kind=\"ecdf\",\n", " hue_order=['female', 'male'], palette=['C3', 'C0'])\n", "grid.axes[0,0].set_title('ECDF for female and male heights')\n", "grid = sns.displot(countries, x=\"Expectancy2020\", hue=\"Region\", kind=\"ecdf\")\n", "grid.axes[0,0].set_title('ECDF for expectancy in different regions')\n", "grid.figure.set_size_inches(5, 3)\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "cOVMo9EKdUz1" }, "source": [ "## Multi-dimensional data: Clustering and dimensionality reduction\n", "\n", "### Dataset\n", "\n", "* The FSEV survey contains questions about phobias and fears, each with answers 1-5 (5 means highest fear).\n", "* We will first randomly select 200 participants without missing values.\n", "* We will display them as a heatmap." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 206 }, "executionInfo": { "elapsed": 24016, "status": "ok", "timestamp": 1618302231479, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "oUvU9jDWpJ9_", "outputId": "d240a087-6082-4c56-e9d7-f580ecd00ca8" }, "outputs": [ { "data": { "text/html": [ "
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FlyingStormDarknessHeightsSpidersSnakesRatsAgeingDangerous dogsFear of public speaking
7041.01.04.01.05.042.03.04.03.0
1752.01.04.01.03.051.04.02.03.0
6901.01.03.03.04.054.01.05.04.0
3213.03.03.03.05.053.03.05.02.0
3673.01.01.02.01.031.05.04.03.0
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" ], "text/plain": [ " Flying Storm Darkness Heights Spiders Snakes Rats Ageing \\\n", "704 1.0 1.0 4.0 1.0 5.0 4 2.0 3.0 \n", "175 2.0 1.0 4.0 1.0 3.0 5 1.0 4.0 \n", "690 1.0 1.0 3.0 3.0 4.0 5 4.0 1.0 \n", "321 3.0 3.0 3.0 3.0 5.0 5 3.0 3.0 \n", "367 3.0 1.0 1.0 2.0 1.0 3 1.0 5.0 \n", "\n", " Dangerous dogs Fear of public speaking \n", "704 4.0 3.0 \n", "175 2.0 3.0 \n", "690 5.0 4.0 \n", "321 5.0 2.0 \n", "367 4.0 3.0 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# columns 63-72 are fears, drop rows with missing values, sample 200 people\n", "fsev_sample = fsev.iloc[:, 63:73].dropna().sample(200)\n", "# show sample of the data\n", "display(fsev_sample.head())" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 367 }, "executionInfo": { "elapsed": 24497, "status": "ok", "timestamp": 1618302231966, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "kx7HkNvfXgc6", "outputId": "c4173f54-20bf-4b8e-885d-4895e931cc8a" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, axes = plt.subplots(figsize=(10,6))\n", "sns.heatmap(fsev_sample.transpose(), xticklabels=False, ax=axes, cmap=\"YlOrBr\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "RyFpJXONbEa0" }, "source": [ "* Heatmap does not show clear trends, but we see that some phobias have higher values than others.\n", "* We display this more explicitly by sorted means.\n", "* Then we \"standardize\" values for individual phobias by subtracting the mean and dividing by the standard deviation.\n", "* After this change, each phobia has mean 0 and standard deviation 1.\n", "* People with positive scores fear that subject more than average, with negative scores less than average." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 215 }, "executionInfo": { "elapsed": 24494, "status": "ok", "timestamp": 1618302231968, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "pD2F9CmYauKM", "outputId": "0c9f8e7f-92de-486c-b026-538a2fa16e1c" }, "outputs": [ { "data": { "text/markdown": [ "**Phobias sorted by mean score in the survey:**" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "Storm 1.845\n", "Flying 2.005\n", "Darkness 2.125\n", "Rats 2.240\n", "Heights 2.400\n", "Ageing 2.590\n", "Spiders 2.685\n", "Fear of public speaking 2.855\n", "Dangerous dogs 2.875\n", "Snakes 3.040\n", "dtype: float64" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(Markdown(\"**Phobias sorted by mean score in the survey:**\"))\n", "display(fsev_sample.mean().sort_values())" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 206 }, "executionInfo": { "elapsed": 24489, "status": "ok", "timestamp": 1618302231969, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "lJ9S3pQ-m7g_", "outputId": "b8b8d740-32f4-4b70-9f17-8059e3a1178e" }, "outputs": [ { "data": { "text/html": [ "
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FlyingStormDarknessHeightsSpidersSnakesRatsAgeingDangerous dogsFear of public speaking
704-0.819900-0.7566361.569872-1.1040271.4857110.626215-0.1788160.3013440.8365720.122946
175-0.004079-0.7566361.569872-1.1040270.2021591.278522-0.9238801.036329-0.6506670.122946
690-0.819900-0.7566360.7326070.4731540.8439351.2785221.311314-1.1686261.5801910.970852
3210.8117411.0342180.7326070.4731541.4857111.2785220.5662490.3013441.580191-0.724959
3670.811741-0.756636-0.941923-0.315436-1.081392-0.026092-0.9238801.7713140.8365720.122946
\n", "
" ], "text/plain": [ " Flying Storm Darkness Heights Spiders Snakes Rats \\\n", "704 -0.819900 -0.756636 1.569872 -1.104027 1.485711 0.626215 -0.178816 \n", "175 -0.004079 -0.756636 1.569872 -1.104027 0.202159 1.278522 -0.923880 \n", "690 -0.819900 -0.756636 0.732607 0.473154 0.843935 1.278522 1.311314 \n", "321 0.811741 1.034218 0.732607 0.473154 1.485711 1.278522 0.566249 \n", "367 0.811741 -0.756636 -0.941923 -0.315436 -1.081392 -0.026092 -0.923880 \n", "\n", " Ageing Dangerous dogs Fear of public speaking \n", "704 0.301344 0.836572 0.122946 \n", "175 1.036329 -0.650667 0.122946 \n", "690 -1.168626 1.580191 0.970852 \n", "321 0.301344 1.580191 -0.724959 \n", "367 1.771314 0.836572 0.122946 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fsev_sample_standardized = (fsev_sample - fsev_sample.mean()) / fsev_sample.std()\n", "display(fsev_sample_standardized.head())" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 357 }, "executionInfo": { "elapsed": 25319, "status": "ok", "timestamp": 1618302232805, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "7USBtGrCm8RM", "outputId": "7d6aa6bc-795a-459b-e77e-6c7826814db2" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure,axes = plt.subplots(figsize=(10,6))\n", "sns.heatmap(fsev_sample_standardized.transpose(), xticklabels=False, cmap=\"YlOrBr\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "9LmWfQdzZtlN" }, "source": [ "* Heatmap above does not show much.\n", "* Bellow we rearrange it by clustering.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Clustering (zhlukovanie)\n", "\n", "* Clustering means finding groups fo similar data points.\n", "* Here we apply to both people and phobias.\n", "* There are many different kinds of clustering, the one used here is [hierarchical clustering](https://seaborn.pydata.org/generated/seaborn.clustermap.html), which creates a hierarchy of smaller groups inside larger groups. \n", "* The rows and columns of the matrix were rearranged according to the cluster hierarchy. This puts similar rows and similar columns together. Some areas of dark and light colors appear as a result, highlighting some repeated patterns." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 443 }, "executionInfo": { "elapsed": 25657, "status": "ok", "timestamp": 1618302233148, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "eHc6PP_2nX4E", "outputId": "0dc0ab63-1b3c-4ea1-d195-c08a2bfdc246" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.clustermap(fsev_sample_standardized.transpose(), \n", " xticklabels=False, figsize=(10,6), cmap=\"YlOrBr\")\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "XPeOtexzmxOU" }, "source": [ "### Dimensionality reduction\n", "\n", "Methods for dimensionality reduction project high-dimensional data into lower-dimensional (usually 2D) space, while trying to preserve some structure in the original data.\n", "\n", "* [**Principal component analysis**](https://scikit-learn.org/stable/modules/decomposition.html) (PCA) uses a linear projection: each new dimension is a linear combination (weighted sum) of the original dimensions. Weights are chosen to maximize variance.\n", "\n", "Some methods do not use linear projections, but try to preserve distances between points, for example:\n", "* [Multidimensional scaling](https://scikit-learn.org/stable/modules/manifold.html) (MDS),\n", "* [T-distributed Stochastic Neighbor Embedding](https://scikit-learn.org/stable/modules/generated/sklearn.manifold.TSNE.html) (t-SNE).\n", "\n", "We will use PCA from the [scikit-learn library](https://scikit-learn.org/stable/index.html) for machine learning in Python.\n" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 384 }, "executionInfo": { "elapsed": 25653, "status": "ok", "timestamp": 1618302233150, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "h7mhr7DIfQP1", "outputId": "d1f34b44-3040-4bce-c6fb-0c18a435769b" }, "outputs": [ { "data": { "text/markdown": [ "**PCA transformed values** (first five lines):" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "array([[ 0.91778842, 0.82199281],\n", " [ 0.06663137, -0.03255687],\n", " [ 1.93609543, 1.69091248],\n", " [ 2.66587132, 0.45941232],\n", " [-0.63167041, -1.18711206]])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import PCA\n", "# compute PCA of our standardized data with 2 dimensions\n", "fsev_pca = PCA(n_components=2).fit_transform(fsev_sample_standardized)\n", "display(Markdown(\"**PCA transformed values** (first five lines):\"))\n", "display(fsev_pca[0:5, :])\n", "axes = sns.scatterplot(x=fsev_pca[:, 0], y=fsev_pca[:, 1])" ] }, { "cell_type": "markdown", "metadata": { "id": "7A1B057kfuY0" }, "source": [ "The scatterplot starts to be interesting if we can color points by some known factors.\n", "\n", "* Below we see that men and women are quite mixed but women are shifted to the left.\n", "* It seems that the first dimension strongly correlates with the overall fearfuless of a person.\n", "* Fears of snakes and storms are strongly related to the overall fearfulness, but they also have trends along the y-axis." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 607 }, "executionInfo": { "elapsed": 27183, "status": "ok", "timestamp": 1618302234686, "user": { "displayName": "Brona Brejova", "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GjGyr69ecECqZOZ-_5-o1v7SpP5TdLQGU7-pHl4UQ=s64", "userId": "10789993073610145432" }, "user_tz": -120 }, "id": "GheaPt1btPX7", "outputId": "a8a5a7ee-26fa-4772-9bb1-5410baf691ae" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# all columns for our sample to select gender and all data\n", "fsev_sample_all = fsev.loc[fsev_sample.index,]\n", "figure, axes = plt.subplots(2, 2, figsize=(10,10))\n", "sns.scatterplot(x=fsev_pca[:, 0], y=fsev_pca[:, 1], \n", " hue=fsev_sample_all['Gender'], \n", " hue_order=['female', 'male'], palette=['C3', 'C0'],\n", " ax=axes[0,0])\n", "axes[0,0].set_title('PCA colored by gender')\n", "sns.scatterplot(x=fsev_pca[:, 0], y=fsev_pca[:, 1], \n", " hue=fsev_sample_standardized.sum(axis=1), ax=axes[0,1])\n", "axes[0,1].set_title('PCA colored by sum of fears')\n", "sns.scatterplot(x=fsev_pca[:, 0], y=fsev_pca[:, 1], \n", " hue=fsev_sample_all['Snakes'], ax=axes[1,0])\n", "axes[1,0].set_title('PCA colored by fear of snakes')\n", "sns.scatterplot(x=fsev_pca[:, 0], y=fsev_pca[:, 1], \n", " hue=fsev_sample_all['Storm'], ax=axes[1,1])\n", "axes[1,1].set_title('PCA colored by fear of storm')\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "id": "2ZkNlZf223xO" }, "source": [ "## Conclusion and other courses\n", "\n", "We briefly covered several statistical concepts often used in visualization:\n", "\n", "* histogram,\n", "* kernel density estimation,\n", "* empirical cumulative distribution function,\n", "* clustering,\n", "* dimensionality reduction.\n", "\n", "You will learn more in the next years of your study:\n", "\n", "* [Fundamentals of Probability and Statistics](https://sluzby.fmph.uniba.sk/infolist/sk/1-DAV-201_20.html), 2W (DAV) or 3W (BIN)\n", "* [Principles of Data Science](https://sluzby.fmph.uniba.sk/infolist/sk/1-DAV-302_20.html) 3W (DAV)\n", "* [Linear Algebra](https://sluzby.fmph.uniba.sk/infolist/sk/1-DAV-104_20.html) this semester" ] } ], "metadata": { "colab": { "authorship_tag": "ABX9TyNz1EUf+cOnMHjzaNjgHuum", "collapsed_sections": [], "name": "L07_More_statistics.ipynb", "provenance": [] }, "kernelspec": { "display_name": "venv", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 1 }