PCA análisis de componentes principales.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "ahp <- read.csv(file=\"ahppca.csv\",header=TRUE,sep=\",\",dec=\".\",row.names=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 19</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Karate</th><th scope=col>Fitness</th><th scope=col>Natación</th><th scope=col>Baloncesto</th><th scope=col>Fútbol</th><th scope=col>Fitness.1</th><th scope=col>Baloncesto.1</th><th scope=col>Tae.Kwon.Do</th><th scope=col>Beisbol</th><th scope=col>Pesas</th><th scope=col>Natación.1</th><th scope=col>Baloncesto.2</th><th scope=col>Atletismo</th><th scope=col>Fútbol.1</th><th scope=col>Beisbol.1</th><th scope=col>Baloncesto.3</th><th scope=col>Baloncesto.4</th><th scope=col>Fútbol.2</th><th scope=col>Beisbol.2</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Velocidad</th><td>0.14</td><td>0.37629324</td><td>0.42793009</td><td>0.40245249</td><td>0.40782736</td><td>0.40314721</td><td>0.37764984</td><td>0.05912417</td><td>0.37323160</td><td>0.42445534</td><td>0.43613499</td><td>0.41499906</td><td>0.1552390</td><td>0.43384637</td><td>0.38762534</td><td>0.12401949</td><td>0.01059568</td><td>0.43612843</td><td>0.41850000</td></tr>\n",
       "\t<tr><th scope=row>Fuerza</th><td>0.06</td><td>0.23196298</td><td>0.24790084</td><td>0.24121734</td><td>0.24127591</td><td>0.25832405</td><td>0.21704682</td><td>0.06961118</td><td>0.22680653</td><td>0.25125748</td><td>0.23745242</td><td>0.24659269</td><td>0.2651356</td><td>0.24069868</td><td>0.22564931</td><td>0.10545469</td><td>0.02041612</td><td>0.23300949</td><td>0.25483980</td></tr>\n",
       "\t<tr><th scope=row>Potencia</th><td>0.30</td><td>0.17656429</td><td>0.13544685</td><td>0.13284924</td><td>0.14181168</td><td>0.14862630</td><td>0.17911225</td><td>0.08195827</td><td>0.15371920</td><td>0.14137882</td><td>0.13862190</td><td>0.14697833</td><td>0.1193084</td><td>0.13783184</td><td>0.14493887</td><td>0.14889525</td><td>0.03354969</td><td>0.13923632</td><td>0.14475612</td></tr>\n",
       "\t<tr><th scope=row>Equilibrio</th><td>0.07</td><td>0.09521916</td><td>0.08269160</td><td>0.08419051</td><td>0.08819383</td><td>0.08521923</td><td>0.09597850</td><td>0.09649536</td><td>0.09395042</td><td>0.08258376</td><td>0.08202029</td><td>0.08683988</td><td>0.1841829</td><td>0.07833245</td><td>0.09625857</td><td>0.05890428</td><td>0.06034982</td><td>0.08318722</td><td>0.08177855</td></tr>\n",
       "\t<tr><th scope=row>Coordinaci¢n</th><td>0.13</td><td>0.05405096</td><td>0.04973717</td><td>0.05655265</td><td>0.05711617</td><td>0.04886586</td><td>0.05715086</td><td>0.11361091</td><td>0.06377328</td><td>0.04621934</td><td>0.04084924</td><td>0.04959914</td><td>0.1118801</td><td>0.04858883</td><td>0.06194166</td><td>0.17175296</td><td>0.09163361</td><td>0.04970156</td><td>0.04642105</td></tr>\n",
       "\t<tr><th scope=row>Tiempo de reacci¢n</th><td>0.18</td><td>0.03327292</td><td>0.02781666</td><td>0.03783455</td><td>0.03165427</td><td>0.02843915</td><td>0.03476066</td><td>0.13376228</td><td>0.03977308</td><td>0.02797249</td><td>0.02665718</td><td>0.02813226</td><td>0.0715609</td><td>0.03027836</td><td>0.03948937</td><td>0.19904690</td><td>0.17124777</td><td>0.03024484</td><td>0.02832279</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 19\n",
       "\\begin{tabular}{r|lllllllllllllllllll}\n",
       "  & Karate & Fitness & Natación & Baloncesto & Fútbol & Fitness.1 & Baloncesto.1 & Tae.Kwon.Do & Beisbol & Pesas & Natación.1 & Baloncesto.2 & Atletismo & Fútbol.1 & Beisbol.1 & Baloncesto.3 & Baloncesto.4 & Fútbol.2 & Beisbol.2\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tVelocidad & 0.14 & 0.37629324 & 0.42793009 & 0.40245249 & 0.40782736 & 0.40314721 & 0.37764984 & 0.05912417 & 0.37323160 & 0.42445534 & 0.43613499 & 0.41499906 & 0.1552390 & 0.43384637 & 0.38762534 & 0.12401949 & 0.01059568 & 0.43612843 & 0.41850000\\\\\n",
       "\tFuerza & 0.06 & 0.23196298 & 0.24790084 & 0.24121734 & 0.24127591 & 0.25832405 & 0.21704682 & 0.06961118 & 0.22680653 & 0.25125748 & 0.23745242 & 0.24659269 & 0.2651356 & 0.24069868 & 0.22564931 & 0.10545469 & 0.02041612 & 0.23300949 & 0.25483980\\\\\n",
       "\tPotencia & 0.30 & 0.17656429 & 0.13544685 & 0.13284924 & 0.14181168 & 0.14862630 & 0.17911225 & 0.08195827 & 0.15371920 & 0.14137882 & 0.13862190 & 0.14697833 & 0.1193084 & 0.13783184 & 0.14493887 & 0.14889525 & 0.03354969 & 0.13923632 & 0.14475612\\\\\n",
       "\tEquilibrio & 0.07 & 0.09521916 & 0.08269160 & 0.08419051 & 0.08819383 & 0.08521923 & 0.09597850 & 0.09649536 & 0.09395042 & 0.08258376 & 0.08202029 & 0.08683988 & 0.1841829 & 0.07833245 & 0.09625857 & 0.05890428 & 0.06034982 & 0.08318722 & 0.08177855\\\\\n",
       "\tCoordinaci¢n & 0.13 & 0.05405096 & 0.04973717 & 0.05655265 & 0.05711617 & 0.04886586 & 0.05715086 & 0.11361091 & 0.06377328 & 0.04621934 & 0.04084924 & 0.04959914 & 0.1118801 & 0.04858883 & 0.06194166 & 0.17175296 & 0.09163361 & 0.04970156 & 0.04642105\\\\\n",
       "\tTiempo de reacci¢n & 0.18 & 0.03327292 & 0.02781666 & 0.03783455 & 0.03165427 & 0.02843915 & 0.03476066 & 0.13376228 & 0.03977308 & 0.02797249 & 0.02665718 & 0.02813226 & 0.0715609 & 0.03027836 & 0.03948937 & 0.19904690 & 0.17124777 & 0.03024484 & 0.02832279\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 19\n",
       "\n",
       "| <!--/--> | Karate &lt;dbl&gt; | Fitness &lt;dbl&gt; | Natación &lt;dbl&gt; | Baloncesto &lt;dbl&gt; | Fútbol &lt;dbl&gt; | Fitness.1 &lt;dbl&gt; | Baloncesto.1 &lt;dbl&gt; | Tae.Kwon.Do &lt;dbl&gt; | Beisbol &lt;dbl&gt; | Pesas &lt;dbl&gt; | Natación.1 &lt;dbl&gt; | Baloncesto.2 &lt;dbl&gt; | Atletismo &lt;dbl&gt; | Fútbol.1 &lt;dbl&gt; | Beisbol.1 &lt;dbl&gt; | Baloncesto.3 &lt;dbl&gt; | Baloncesto.4 &lt;dbl&gt; | Fútbol.2 &lt;dbl&gt; | Beisbol.2 &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Velocidad | 0.14 | 0.37629324 | 0.42793009 | 0.40245249 | 0.40782736 | 0.40314721 | 0.37764984 | 0.05912417 | 0.37323160 | 0.42445534 | 0.43613499 | 0.41499906 | 0.1552390 | 0.43384637 | 0.38762534 | 0.12401949 | 0.01059568 | 0.43612843 | 0.41850000 |\n",
       "| Fuerza | 0.06 | 0.23196298 | 0.24790084 | 0.24121734 | 0.24127591 | 0.25832405 | 0.21704682 | 0.06961118 | 0.22680653 | 0.25125748 | 0.23745242 | 0.24659269 | 0.2651356 | 0.24069868 | 0.22564931 | 0.10545469 | 0.02041612 | 0.23300949 | 0.25483980 |\n",
       "| Potencia | 0.30 | 0.17656429 | 0.13544685 | 0.13284924 | 0.14181168 | 0.14862630 | 0.17911225 | 0.08195827 | 0.15371920 | 0.14137882 | 0.13862190 | 0.14697833 | 0.1193084 | 0.13783184 | 0.14493887 | 0.14889525 | 0.03354969 | 0.13923632 | 0.14475612 |\n",
       "| Equilibrio | 0.07 | 0.09521916 | 0.08269160 | 0.08419051 | 0.08819383 | 0.08521923 | 0.09597850 | 0.09649536 | 0.09395042 | 0.08258376 | 0.08202029 | 0.08683988 | 0.1841829 | 0.07833245 | 0.09625857 | 0.05890428 | 0.06034982 | 0.08318722 | 0.08177855 |\n",
       "| Coordinaci¢n | 0.13 | 0.05405096 | 0.04973717 | 0.05655265 | 0.05711617 | 0.04886586 | 0.05715086 | 0.11361091 | 0.06377328 | 0.04621934 | 0.04084924 | 0.04959914 | 0.1118801 | 0.04858883 | 0.06194166 | 0.17175296 | 0.09163361 | 0.04970156 | 0.04642105 |\n",
       "| Tiempo de reacci¢n | 0.18 | 0.03327292 | 0.02781666 | 0.03783455 | 0.03165427 | 0.02843915 | 0.03476066 | 0.13376228 | 0.03977308 | 0.02797249 | 0.02665718 | 0.02813226 | 0.0715609 | 0.03027836 | 0.03948937 | 0.19904690 | 0.17124777 | 0.03024484 | 0.02832279 |\n",
       "\n"
      ],
      "text/plain": [
       "                   Karate Fitness    Natación   Baloncesto Fútbol    \n",
       "Velocidad          0.14   0.37629324 0.42793009 0.40245249 0.40782736\n",
       "Fuerza             0.06   0.23196298 0.24790084 0.24121734 0.24127591\n",
       "Potencia           0.30   0.17656429 0.13544685 0.13284924 0.14181168\n",
       "Equilibrio         0.07   0.09521916 0.08269160 0.08419051 0.08819383\n",
       "Coordinaci¢n       0.13   0.05405096 0.04973717 0.05655265 0.05711617\n",
       "Tiempo de reacci¢n 0.18   0.03327292 0.02781666 0.03783455 0.03165427\n",
       "                   Fitness.1  Baloncesto.1 Tae.Kwon.Do Beisbol    Pesas     \n",
       "Velocidad          0.40314721 0.37764984   0.05912417  0.37323160 0.42445534\n",
       "Fuerza             0.25832405 0.21704682   0.06961118  0.22680653 0.25125748\n",
       "Potencia           0.14862630 0.17911225   0.08195827  0.15371920 0.14137882\n",
       "Equilibrio         0.08521923 0.09597850   0.09649536  0.09395042 0.08258376\n",
       "Coordinaci¢n       0.04886586 0.05715086   0.11361091  0.06377328 0.04621934\n",
       "Tiempo de reacci¢n 0.02843915 0.03476066   0.13376228  0.03977308 0.02797249\n",
       "                   Natación.1 Baloncesto.2 Atletismo Fútbol.1   Beisbol.1 \n",
       "Velocidad          0.43613499 0.41499906   0.1552390 0.43384637 0.38762534\n",
       "Fuerza             0.23745242 0.24659269   0.2651356 0.24069868 0.22564931\n",
       "Potencia           0.13862190 0.14697833   0.1193084 0.13783184 0.14493887\n",
       "Equilibrio         0.08202029 0.08683988   0.1841829 0.07833245 0.09625857\n",
       "Coordinaci¢n       0.04084924 0.04959914   0.1118801 0.04858883 0.06194166\n",
       "Tiempo de reacci¢n 0.02665718 0.02813226   0.0715609 0.03027836 0.03948937\n",
       "                   Baloncesto.3 Baloncesto.4 Fútbol.2   Beisbol.2 \n",
       "Velocidad          0.12401949   0.01059568   0.43612843 0.41850000\n",
       "Fuerza             0.10545469   0.02041612   0.23300949 0.25483980\n",
       "Potencia           0.14889525   0.03354969   0.13923632 0.14475612\n",
       "Equilibrio         0.05890428   0.06034982   0.08318722 0.08177855\n",
       "Coordinaci¢n       0.17175296   0.09163361   0.04970156 0.04642105\n",
       "Tiempo de reacci¢n 0.19904690   0.17124777   0.03024484 0.02832279"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(ahp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "\"package 'FactoMineR' was built under R version 3.6.3\"\n"
     ]
    }
   ],
   "source": [
    "library(FactoMineR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "acp_ahp <- PCA(ahp, graph=FALSE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7O18zd5L0gbO3drJw/lW619Z+bTaGyIqPQCausbG/IyGUeTZr9Zao9GF7PNt+ZS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\nAgQJECBIgABBAgQIEiBAkACB/wc3Ch273VYDRAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(acp_ahp, choix=\"ind\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hR9NtrnmEu/1pSXe73Mlc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\nEIEAEgQRCCBBEIH+P/RS/L7fyEw6AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(acp_ahp, choix=\"var\")\n",
    "# circulo de correlaciones\n"
   ]
  },
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