{ "cells": [ { "cell_type": "markdown", "id": "f1d15021-5e4c-48df-b809-a38e5b596dfc", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Medidas de Localización\n", "===\n", "\n", "* 17:13 min | Última modificación: Ocutbre 15, 2021 | [YouTube](https://youtu.be/AuOrK91rOUI)" ] }, { "cell_type": "code", "execution_count": 1, "id": "0cfedb39-3ef3-4a4e-b4b9-0306f6a98a47", "metadata": {}, "outputs": [], "source": [ "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "31325b42-65f6-43bc-8408-4a999ce8449c", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns" ] }, { "cell_type": "markdown", "id": "579e5586-d2a5-4c1d-bdeb-08f228fd4734", "metadata": {}, "source": [ "## Definición del problema " ] }, { "cell_type": "markdown", "id": "b9653db0-91ed-459b-91e4-dec7e3014213", "metadata": {}, "source": [ "El [conjunto de datos de la flor Iris](https://es.wikipedia.org/wiki/Iris_flor_conjunto_de_datos) contiene 150 muestras de las medidas del ancho y el largo del pétalo y del sépalo para las tres especies de esta flor (Iris setosa, Iris virginica e Iris versicolor). A partir de la muestra de datos se desean responder la siguiente pregunta:\n", "\n", "\n", "* **P1**.--- ¿Cuál es la longitud y ancho típicos del pétalo y del sépalo para cada uno de los tis de flores?" ] }, { "cell_type": "markdown", "id": "5fdd5619-3187-43c6-ae0b-430febf68673", "metadata": {}, "source": [ "## Carga de datos" ] }, { "cell_type": "code", "execution_count": 3, "id": "f48de899-7ced-48f3-97f7-307146dfd3ab", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
1456.73.05.22.3virginica
1466.32.55.01.9virginica
1476.53.05.22.0virginica
1486.23.45.42.3virginica
1495.93.05.11.8virginica
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "145 6.7 3.0 5.2 2.3 virginica\n", "146 6.3 2.5 5.0 1.9 virginica\n", "147 6.5 3.0 5.2 2.0 virginica\n", "148 6.2 3.4 5.4 2.3 virginica\n", "149 5.9 3.0 5.1 1.8 virginica" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Se cargan los datos y se realiza una inspección\n", "# inicial de la tabla y los datos\n", "#\n", "iris_df = sns.load_dataset(\"iris\")\n", "\n", "display(iris_df.head(), iris_df.tail())" ] }, { "cell_type": "markdown", "id": "e8f496e6-3d4b-4473-8a1a-722bcbfadd26", "metadata": {}, "source": [ "## P1.--- ¿Cuál es la longitud y ancho típicos del pétalo y del sépalo para cada uno de los tipos de flores?" ] }, { "cell_type": "markdown", "id": "be6f2946-d585-4ad4-80a7-f5de751a670d", "metadata": {}, "source": [ "En esta pregunta se esta pidiendo una medida o estimación de localización del valor típico de la longitud del pétalo. Existen varias medidas." ] }, { "cell_type": "code", "execution_count": 4, "id": "6dfd5112-b9d2-447c-8ecb-64e5a03a4047", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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speciesVariablesValues
0setosasepal_length5.1
1setosasepal_length4.9
2setosasepal_length4.7
3setosasepal_length4.6
4setosasepal_length5.0
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" ], "text/plain": [ " species Variables Values\n", "0 setosa sepal_length 5.1\n", "1 setosa sepal_length 4.9\n", "2 setosa sepal_length 4.7\n", "3 setosa sepal_length 4.6\n", "4 setosa sepal_length 5.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris_melt = iris_df.copy()\n", "iris_melt = pd.melt(\n", " iris_melt,\n", " id_vars=\"species\",\n", " var_name=\"Variables\",\n", " value_name=\"Values\",\n", ")\n", "\n", "iris_melt.head()" ] }, { "cell_type": "code", "execution_count": 5, "id": "4c26dbb1-cdc9-43a8-aa8d-120e48388391", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#\n", "# Esta gráfica permite comparar los valores de las variables para una misma\n", "# especie (no muy util para inferir conclusiones)\n", "#\n", "sns.catplot(\n", " x=\"Variables\",\n", " y=\"Values\",\n", " data=iris_melt,\n", " col=\"species\",\n", " kind=\"swarm\",\n", ")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "4ef1b9b6-7924-4b16-b498-5d77b957d9b6", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#\n", "# Esta gráfica permite comparar una variable entre especies\n", "#\n", "sns.catplot(\n", " x=\"species\",\n", " y=\"Values\",\n", " data=iris_melt,\n", " col=\"Variables\",\n", " kind=\"swarm\",\n", " col_wrap=2,\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5a54ea99-1297-4d4a-a23f-fd39bc3855fb", "metadata": {}, "source": [ "**Media o promedio muestral:**\n", "\n", "Valor \"típico\" de los datos.\n", "\n", "$$\\bar{x} = \\frac{1}{n} \\sum_{i=1}^n x_i$$" ] }, { "cell_type": "code", "execution_count": 7, "id": "629736b2-5feb-45c8-8706-ff7f8c05736b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.843333333333334" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "5.843333333333334" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "5.843333333333334" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Cálculo para una variable\n", "#\n", "from statistics import mean\n", "\n", "display(\n", " iris_df.sepal_length.mean(),\n", " mean(iris_df.sepal_length),\n", " np.mean(iris_df.sepal_length),\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "id": "7013ce88-e32e-448c-9483-d5f49d481d60", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sepal_length 5.843333\n", "sepal_width 3.057333\n", "petal_length 3.758000\n", "petal_width 1.199333\n", "dtype: float64" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#\n", "# Cálculo para las columnas numéricas del\n", "# dataframe\n", "#\n", "iris_df.mean()" ] }, { "cell_type": "code", "execution_count": 9, "id": "a43fc60d-d9e2-419c-8b8a-fed505527126", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_width
species
setosa5.0063.4281.4620.246
versicolor5.9362.7704.2601.326
virginica6.5882.9745.5522.026
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width\n", "species \n", "setosa 5.006 3.428 1.462 0.246\n", "versicolor 5.936 2.770 4.260 1.326\n", "virginica 6.588 2.974 5.552 2.026" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#\n", "# Cálculo de la media de cada columna por especie\n", "#\n", "iris_df.groupby(\"species\").mean()" ] }, { "cell_type": "markdown", "id": "9937bf36-4f6e-4977-8656-d74321af8456", "metadata": {}, "source": [ "**Media ponderada:** \n", "\n", "$$\\bar{x} = \\frac{1}{\\sum_{i=1}^n w_i} \\sum_{i=1}^n w_i x_i$$" ] }, { "cell_type": "markdown", "id": "15e00270-384f-401f-9eef-22068d37a313", "metadata": {}, "source": [ "**Outlier o valor atípico:** \n", "\n", "Valores extremadamente distantes del resto de los datos. En algunos casos se pueden definir en términos de la media y la desviación estándar de la muestra; por ejemplo, se considera outliers aquellas observaciones distantes más de 3.5$\\sigma$ de la media. " ] }, { "cell_type": "markdown", "id": "7d01e39a-1483-4c4c-864a-f142a7594ea0", "metadata": {}, "source": [ "**Media truncada:** \n", "\n", "Se calcula la media sobre los datos después de eliminar los $p$ datos más pequeños y los $p$ datos más grandes. Si $x_{(1)}$, $x_{2}$, ..., $x_{(n)}$ representan los datos ordenados, donde $x_{(1)}$ es el dato más pequeño y $x_{(n)}$ el más grande, entonces la media truncada se calcula como:\n", "\n", "$$\\frac{1}{n-2p} \\sum_{i=1+p}^{n-p} x_i$$" ] }, { "cell_type": "markdown", "id": "0da06248-3e4d-4fb8-a068-110e133e400b", "metadata": {}, "source": [ "**Mediana:** \n", "\n", "Es el valor $x_{((n+1)/2)}$ cuando se ordenan los datos. Es una aproximación robusta (no influenciada por datos atípicos o distribuciones asimétricas." ] }, { "cell_type": "code", "execution_count": 10, "id": "677e558f-dae0-4d3d-8c79-e77c2244eec3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.8" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "5.8" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "5.8" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Cálculo para una variable\n", "#\n", "from statistics import median\n", "\n", "display(\n", " iris_df.sepal_length.median(),\n", " median(iris_df.sepal_length),\n", " np.median(iris_df.sepal_length),\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "id": "a2847390-e6d7-4172-84dd-82d250d7c556", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sepal_length 5.80\n", "sepal_width 3.00\n", "petal_length 4.35\n", "petal_width 1.30\n", "dtype: float64" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#\n", "# Cálculo para las columnas del dataframe\n", "#\n", "iris_df.median()" ] }, { "cell_type": "code", "execution_count": 12, "id": "8320c28e-64f2-4234-9045-f8573c1ce13d", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_width
species
setosa5.03.41.500.2
versicolor5.92.84.351.3
virginica6.53.05.552.0
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width\n", "species \n", "setosa 5.0 3.4 1.50 0.2\n", "versicolor 5.9 2.8 4.35 1.3\n", "virginica 6.5 3.0 5.55 2.0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#\n", "# Cálculo discriminando por especie\n", "#\n", "iris_df.groupby(\"species\").median()" ] }, { "cell_type": "code", "execution_count": 13, "id": "058a62c1-aee4-4b89-9c45-7e49f18f83b5", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "g = sns.catplot(\n", " x=\"species\",\n", " y=\"Values\",\n", " data=iris_melt,\n", " col=\"Variables\",\n", " kind=\"swarm\",\n", " col_wrap=2,\n", ")\n", "\n", "colors = ['tab:blue', 'tab:orange', 'tab:green']\n", "\n", "\n", "means = iris_df.groupby(\"species\").mean()\n", "medians = iris_df.groupby(\"species\").median()\n", "\n", "for i_axes in range(4):\n", " ax = g.axes[i_axes]\n", " mean_values = means[means.columns[i_axes]]\n", " median_values = medians[medians.columns[i_axes]]\n", " for color, mean_value, median_value in zip(colors, mean_values, median_values):\n", " g.axes[i_axes].axhline(mean_value, ls='--', color=color)\n", " g.axes[i_axes].axhline(median_value, ls=':', color=color)\n", " \n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "daff80ed-4f7c-47df-be96-f50b99361d71", "metadata": {}, "source": [ "**Moda:**" ] }, { "cell_type": "code", "execution_count": 14, "id": "32baf663-94b1-4504-823b-5b858173eefb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 5.0\n", "dtype: float64" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "5.0" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "ModeResult(mode=array([5.]), count=array([10]))" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Cálculo para una variable\n", "#\n", "from statistics import mode\n", "\n", "from scipy import stats\n", "\n", "display(\n", " iris_df.sepal_length.mode(),\n", " mode(iris_df.sepal_length),\n", " stats.mode(iris_df.sepal_length),\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "efd14ab7-fcd4-4cd5-a340-05bf68a0f1ba", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.03.01.40.2setosa
1NaNNaN1.5NaNversicolor
2NaNNaNNaNNaNvirginica
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.0 3.0 1.4 0.2 setosa\n", "1 NaN NaN 1.5 NaN versicolor\n", "2 NaN NaN NaN NaN virginica" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#\n", "# Cálculo para las columnas del dataframe\n", "#\n", "iris_df.mode()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 5 }