Modelos Categóricos Ordinales

Modelos Categóricos Ordinales.ipynb

Modelos Categóricos Ordinales.ipynb

{
  "cells": [
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "# Resumen\n\nEste experimento pretende probar varias formas de modelar una predicción categórica, bien sea ordinal o no, a través de distintas técnicas como ordenar, balancear, transformar los valores categóricos a numéricos para hacer una regresión. \n\nPara ello, he escogido el dataset de Titanic, en el que tenemos quién sobrevivió y quién no, la edad, género, edad, cuánto pagó, cuántos familiares viajaron con cada pasajero, clase de pasaje. Tengamos en cuenta que este dataset no es muy grande por lo que un par de casos clasificados bien o mal pueden variar notablemente algunos resultados.\n\nPara nuestro experimento, queremos predecir **a qué clase pertenecía cada pasajero** (1era, 2da ó 3ra). Como se darán cuenta, estos valores para `Pclass` parecen numéricos pero realmente deberían ser categóricos, ordinales. **Categóricos** porque tenemos apenas 3 valores posibles en todos los pasajeros; fíjate que podrían haber sido perfectamente clases A, B y C. **Ordinales** porque hay un orden lógico, creciente o decreciente: no es lo mismo confundir 1era clase con 3era clase que 2da con 3ra; hay una referencia importante de posición o aproximación que un valor categórico normal no tiene. \n\n> ¿Cómo podemos ayudar al modelo a entender las relaciones entre variables categóricas ordinales?"
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "suppressMessages(library(dplyr))\nsuppressMessages(library(ggplot2))\nsuppressMessages(library(lares))\nsuppressMessages(library(DMwR)) # SMOTE",
      "execution_count": 1,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "# DATOS\n\nCargamos los datos de Titanic. Este comando importará los datos y creará un `data.frame` llamado `dft`."
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "data(dft)",
      "execution_count": 2,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "**ESTRUCTURA**: Chequeamos rápidamente en qué consisten los datos, cuántas columnas y filas tenemos, frecuencias, etc."
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "# Cómo está compuesto dft?\ndf_str(dft, quiet = TRUE)",
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "plot without title",
            "image/png": 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GYrItrzqeUnO6r7Tn3O49Fwf/66OZouxWpnzRxZbfXZzuqe4c+b29Gc8cJ57xh5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7X8CdO3dUKtWYMWN6r0Sr1ebl5U2aNCk+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\nAJpAsAMAAACgif8DUXeAFg+DEd4AAAAASUVORK5CYII="
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "# Veamos las primeras 10 filas\nhead(dft, 10)",
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": "<table>\n<caption>A data.frame: 10 × 11</caption>\n<thead>\n\t<tr><th scope=col>PassengerId</th><th scope=col>Survived</th><th scope=col>Pclass</th><th scope=col>Sex</th><th scope=col>Age</th><th scope=col>SibSp</th><th scope=col>Parch</th><th scope=col>Ticket</th><th scope=col>Fare</th><th scope=col>Cabin</th><th scope=col>Embarked</th></tr>\n\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;lgl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n</thead>\n<tbody>\n\t<tr><td> 1</td><td>FALSE</td><td>3</td><td>male  </td><td>22</td><td>1</td><td>0</td><td>A/5 21171       </td><td> 7.2500</td><td>    </td><td>S</td></tr>\n\t<tr><td> 2</td><td> TRUE</td><td>1</td><td>female</td><td>38</td><td>1</td><td>0</td><td>PC 17599        </td><td>71.2833</td><td>C85 </td><td>C</td></tr>\n\t<tr><td> 3</td><td> TRUE</td><td>3</td><td>female</td><td>26</td><td>0</td><td>0</td><td>STON/O2. 3101282</td><td> 7.9250</td><td>    </td><td>S</td></tr>\n\t<tr><td> 4</td><td> TRUE</td><td>1</td><td>female</td><td>35</td><td>1</td><td>0</td><td>113803          </td><td>53.1000</td><td>C123</td><td>S</td></tr>\n\t<tr><td> 5</td><td>FALSE</td><td>3</td><td>male  </td><td>35</td><td>0</td><td>0</td><td>373450          </td><td> 8.0500</td><td>    </td><td>S</td></tr>\n\t<tr><td> 6</td><td>FALSE</td><td>3</td><td>male  </td><td>NA</td><td>0</td><td>0</td><td>330877          </td><td> 8.4583</td><td>    </td><td>Q</td></tr>\n\t<tr><td> 7</td><td>FALSE</td><td>1</td><td>male  </td><td>54</td><td>0</td><td>0</td><td>17463           </td><td>51.8625</td><td>E46 </td><td>S</td></tr>\n\t<tr><td> 8</td><td>FALSE</td><td>3</td><td>male  </td><td> 2</td><td>3</td><td>1</td><td>349909          </td><td>21.0750</td><td>    </td><td>S</td></tr>\n\t<tr><td> 9</td><td> TRUE</td><td>3</td><td>female</td><td>27</td><td>0</td><td>2</td><td>347742          </td><td>11.1333</td><td>    </td><td>S</td></tr>\n\t<tr><td>10</td><td> TRUE</td><td>2</td><td>female</td><td>14</td><td>1</td><td>0</td><td>237736          </td><td>30.0708</td><td>    </td><td>C</td></tr>\n</tbody>\n</table>\n",
            "text/markdown": "\nA data.frame: 10 × 11\n\n| PassengerId &lt;int&gt; | Survived &lt;lgl&gt; | Pclass &lt;fct&gt; | Sex &lt;fct&gt; | Age &lt;dbl&gt; | SibSp &lt;int&gt; | Parch &lt;int&gt; | Ticket &lt;chr&gt; | Fare &lt;dbl&gt; | Cabin &lt;fct&gt; | Embarked &lt;fct&gt; |\n|---|---|---|---|---|---|---|---|---|---|---|\n|  1 | FALSE | 3 | male   | 22 | 1 | 0 | A/5 21171        |  7.2500 | <!----> | S |\n|  2 |  TRUE | 1 | female | 38 | 1 | 0 | PC 17599         | 71.2833 | C85  | C |\n|  3 |  TRUE | 3 | female | 26 | 0 | 0 | STON/O2. 3101282 |  7.9250 | <!----> | S |\n|  4 |  TRUE | 1 | female | 35 | 1 | 0 | 113803           | 53.1000 | C123 | S |\n|  5 | FALSE | 3 | male   | 35 | 0 | 0 | 373450           |  8.0500 | <!----> | S |\n|  6 | FALSE | 3 | male   | NA | 0 | 0 | 330877           |  8.4583 | <!----> | Q |\n|  7 | FALSE | 1 | male   | 54 | 0 | 0 | 17463            | 51.8625 | E46  | S |\n|  8 | FALSE | 3 | male   |  2 | 3 | 1 | 349909           | 21.0750 | <!----> | S |\n|  9 |  TRUE | 3 | female | 27 | 0 | 2 | 347742           | 11.1333 | <!----> | S |\n| 10 |  TRUE | 2 | female | 14 | 1 | 0 | 237736           | 30.0708 | <!----> | C |\n\n",
            "text/latex": "A data.frame: 10 × 11\n\\begin{tabular}{r|lllllllllll}\n PassengerId & Survived & Pclass & Sex & Age & SibSp & Parch & Ticket & Fare & Cabin & Embarked\\\\\n <int> & <lgl> & <fct> & <fct> & <dbl> & <int> & <int> & <chr> & <dbl> & <fct> & <fct>\\\\\n\\hline\n\t  1 & FALSE & 3 & male   & 22 & 1 & 0 & A/5 21171        &  7.2500 &      & S\\\\\n\t  2 &  TRUE & 1 & female & 38 & 1 & 0 & PC 17599         & 71.2833 & C85  & C\\\\\n\t  3 &  TRUE & 3 & female & 26 & 0 & 0 & STON/O2. 3101282 &  7.9250 &      & S\\\\\n\t  4 &  TRUE & 1 & female & 35 & 1 & 0 & 113803           & 53.1000 & C123 & S\\\\\n\t  5 & FALSE & 3 & male   & 35 & 0 & 0 & 373450           &  8.0500 &      & S\\\\\n\t  6 & FALSE & 3 & male   & NA & 0 & 0 & 330877           &  8.4583 &      & Q\\\\\n\t  7 & FALSE & 1 & male   & 54 & 0 & 0 & 17463            & 51.8625 & E46  & S\\\\\n\t  8 & FALSE & 3 & male   &  2 & 3 & 1 & 349909           & 21.0750 &      & S\\\\\n\t  9 &  TRUE & 3 & female & 27 & 0 & 2 & 347742           & 11.1333 &      & S\\\\\n\t 10 &  TRUE & 2 & female & 14 & 1 & 0 & 237736           & 30.0708 &      & C\\\\\n\\end{tabular}\n",
            "text/plain": "   PassengerId Survived Pclass Sex    Age SibSp Parch Ticket           Fare   \n1   1          FALSE    3      male   22  1     0     A/5 21171         7.2500\n2   2           TRUE    1      female 38  1     0     PC 17599         71.2833\n3   3           TRUE    3      female 26  0     0     STON/O2. 3101282  7.9250\n4   4           TRUE    1      female 35  1     0     113803           53.1000\n5   5          FALSE    3      male   35  0     0     373450            8.0500\n6   6          FALSE    3      male   NA  0     0     330877            8.4583\n7   7          FALSE    1      male   54  0     0     17463            51.8625\n8   8          FALSE    3      male    2  3     1     349909           21.0750\n9   9           TRUE    3      female 27  0     2     347742           11.1333\n10 10           TRUE    2      female 14  1     0     237736           30.0708\n   Cabin Embarked\n1        S       \n2  C85   C       \n3        S       \n4  C123  S       \n5        S       \n6        Q       \n7  E46   S       \n8        S       \n9        S       \n10       C       "
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "scrolled": true,
        "trusted": true
      },
      "cell_type": "code",
      "source": "# Veamos la frecuencia de todos los valores de cada columna\nfreqs(dft)",
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "text": "1 variables with more than 0.9 variance exluded: 'PassengerId'\n",
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "plot without title",
            "image/png": 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sqoUaNSUlIqPNuMGTOEEJGRkaYvbDD5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          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "**TRANSFORMACIONES:** Ahora transformamos `Cabin` por su alta varianza y nos deshacemos de `PassengerId` y `Ticket` ya que no tiene mayor sentido usarlos para este ejercicio predictivo."
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "dft <- dft %>% \n  select(-Ticket, -PassengerId) %>%\n  mutate(Cabin = ifelse(Cabin == \"\", \"NON\", \"WITH\"))",
      "execution_count": 6,
      "outputs": []
    },
    {
      "metadata": {},
      "cell_type": "markdown",
      "source": "**ENTENDIMIENTO:** Veamos si existen correlaciones que tengan sentido entre todas las variables:"
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "corr_cross(dft)",
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "plot without title",
            "image/png": 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kBK6N27NwDo6Ohs2LAhLS1NLBY/fPhw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\nkjTIypuZmV24cIHP5+fn5ycmJra2tu7atUsnHdS//vo