{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Análise Multivariada e Aprendizado Não-Supervisionado\n",
    "\n",
    "por Cibele Russo.\n",
    "\n",
    "ICMC USP São Carlos.\n",
    "\n",
    "## Análise de Componentes Principais em R - Introdução"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "corrplot 0.84 loaded\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#install.packages(\"corrplot\")\n",
    "\n",
    "library(corrplot)\n",
    "\n",
    "R <- read.table(\"http://conteudo.icmc.usp.br/pessoas/cibele/Dados/Substancias.txt\")\n",
    "\n",
    "colnames(R) <- rownames(R) <- c(\"cigarro\", \"cerveja\", \"vinho\", \"licor\", \"cocaina\", \"tranquilizantes\", \"medicamentos\", \"heroina\", \"maconha\", \"haxixe\", \"inalantes\",\n",
    "                 \"alucinogenos\", \"anfetaminas\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 13 × 13</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>cigarro</th><th scope=col>cerveja</th><th scope=col>vinho</th><th scope=col>licor</th><th scope=col>cocaina</th><th scope=col>tranquilizantes</th><th scope=col>medicamentos</th><th scope=col>heroina</th><th scope=col>maconha</th><th scope=col>haxixe</th><th scope=col>inalantes</th><th scope=col>alucinogenos</th><th scope=col>anfetaminas</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></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>cigarro</th><td>1.00</td><td>0.45</td><td>0.42</td><td>0.44</td><td>0.11</td><td>0.20</td><td>0.09</td><td>0.08</td><td>0.51</td><td>0.30</td><td>0.24</td><td>0.10</td><td>0.24</td></tr>\n",
       "\t<tr><th scope=row>cerveja</th><td>0.45</td><td>1.00</td><td>0.62</td><td>0.60</td><td>0.07</td><td>0.15</td><td>0.10</td><td>0.06</td><td>0.44</td><td>0.32</td><td>0.20</td><td>0.09</td><td>0.20</td></tr>\n",
       "\t<tr><th scope=row>vinho</th><td>0.42</td><td>0.62</td><td>1.00</td><td>0.58</td><td>0.05</td><td>0.14</td><td>0.11</td><td>0.07</td><td>0.36</td><td>0.25</td><td>0.18</td><td>0.07</td><td>0.18</td></tr>\n",
       "\t<tr><th scope=row>licor</th><td>0.44</td><td>0.60</td><td>0.58</td><td>1.00</td><td>0.12</td><td>0.26</td><td>0.12</td><td>0.10</td><td>0.48</td><td>0.37</td><td>0.26</td><td>0.14</td><td>0.29</td></tr>\n",
       "\t<tr><th scope=row>cocaina</th><td>0.11</td><td>0.07</td><td>0.05</td><td>0.12</td><td>1.00</td><td>0.35</td><td>0.21</td><td>0.32</td><td>0.19</td><td>0.30</td><td>0.27</td><td>0.28</td><td>0.28</td></tr>\n",
       "\t<tr><th scope=row>tranquilizantes</th><td>0.20</td><td>0.15</td><td>0.14</td><td>0.26</td><td>0.35</td><td>1.00</td><td>0.22</td><td>0.36</td><td>0.32</td><td>0.38</td><td>0.32</td><td>0.37</td><td>0.55</td></tr>\n",
       "\t<tr><th scope=row>medicamentos</th><td>0.09</td><td>0.10</td><td>0.11</td><td>0.12</td><td>0.21</td><td>0.22</td><td>1.00</td><td>0.20</td><td>0.16</td><td>0.16</td><td>0.31</td><td>0.23</td><td>0.23</td></tr>\n",
       "\t<tr><th scope=row>heroina</th><td>0.08</td><td>0.06</td><td>0.07</td><td>0.10</td><td>0.32</td><td>0.36</td><td>0.20</td><td>1.00</td><td>0.15</td><td>0.22</td><td>0.29</td><td>0.32</td><td>0.31</td></tr>\n",
       "\t<tr><th scope=row>maconha</th><td>0.51</td><td>0.44</td><td>0.36</td><td>0.48</td><td>0.19</td><td>0.32</td><td>0.16</td><td>0.15</td><td>1.00</td><td>0.53</td><td>0.30</td><td>0.20</td><td>0.39</td></tr>\n",
       "\t<tr><th scope=row>haxixe</th><td>0.30</td><td>0.32</td><td>0.25</td><td>0.37</td><td>0.30</td><td>0.38</td><td>0.16</td><td>0.22</td><td>0.53</td><td>1.00</td><td>0.30</td><td>0.37</td><td>0.47</td></tr>\n",
       "\t<tr><th scope=row>inalantes</th><td>0.24</td><td>0.20</td><td>0.18</td><td>0.26</td><td>0.27</td><td>0.32</td><td>0.31</td><td>0.29</td><td>0.30</td><td>0.30</td><td>1.00</td><td>0.30</td><td>0.39</td></tr>\n",
       "\t<tr><th scope=row>alucinogenos</th><td>0.10</td><td>0.09</td><td>0.07</td><td>0.14</td><td>0.28</td><td>0.37</td><td>0.23</td><td>0.32</td><td>0.20</td><td>0.37</td><td>0.30</td><td>1.00</td><td>0.51</td></tr>\n",
       "\t<tr><th scope=row>anfetaminas</th><td>0.24</td><td>0.20</td><td>0.18</td><td>0.29</td><td>0.28</td><td>0.55</td><td>0.23</td><td>0.31</td><td>0.39</td><td>0.47</td><td>0.39</td><td>0.51</td><td>1.00</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 13 × 13\n",
       "\\begin{tabular}{r|lllllllllllll}\n",
       "  & cigarro & cerveja & vinho & licor & cocaina & tranquilizantes & medicamentos & heroina & maconha & haxixe & inalantes & alucinogenos & anfetaminas\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tcigarro & 1.00 & 0.45 & 0.42 & 0.44 & 0.11 & 0.20 & 0.09 & 0.08 & 0.51 & 0.30 & 0.24 & 0.10 & 0.24\\\\\n",
       "\tcerveja & 0.45 & 1.00 & 0.62 & 0.60 & 0.07 & 0.15 & 0.10 & 0.06 & 0.44 & 0.32 & 0.20 & 0.09 & 0.20\\\\\n",
       "\tvinho & 0.42 & 0.62 & 1.00 & 0.58 & 0.05 & 0.14 & 0.11 & 0.07 & 0.36 & 0.25 & 0.18 & 0.07 & 0.18\\\\\n",
       "\tlicor & 0.44 & 0.60 & 0.58 & 1.00 & 0.12 & 0.26 & 0.12 & 0.10 & 0.48 & 0.37 & 0.26 & 0.14 & 0.29\\\\\n",
       "\tcocaina & 0.11 & 0.07 & 0.05 & 0.12 & 1.00 & 0.35 & 0.21 & 0.32 & 0.19 & 0.30 & 0.27 & 0.28 & 0.28\\\\\n",
       "\ttranquilizantes & 0.20 & 0.15 & 0.14 & 0.26 & 0.35 & 1.00 & 0.22 & 0.36 & 0.32 & 0.38 & 0.32 & 0.37 & 0.55\\\\\n",
       "\tmedicamentos & 0.09 & 0.10 & 0.11 & 0.12 & 0.21 & 0.22 & 1.00 & 0.20 & 0.16 & 0.16 & 0.31 & 0.23 & 0.23\\\\\n",
       "\theroina & 0.08 & 0.06 & 0.07 & 0.10 & 0.32 & 0.36 & 0.20 & 1.00 & 0.15 & 0.22 & 0.29 & 0.32 & 0.31\\\\\n",
       "\tmaconha & 0.51 & 0.44 & 0.36 & 0.48 & 0.19 & 0.32 & 0.16 & 0.15 & 1.00 & 0.53 & 0.30 & 0.20 & 0.39\\\\\n",
       "\thaxixe & 0.30 & 0.32 & 0.25 & 0.37 & 0.30 & 0.38 & 0.16 & 0.22 & 0.53 & 1.00 & 0.30 & 0.37 & 0.47\\\\\n",
       "\tinalantes & 0.24 & 0.20 & 0.18 & 0.26 & 0.27 & 0.32 & 0.31 & 0.29 & 0.30 & 0.30 & 1.00 & 0.30 & 0.39\\\\\n",
       "\talucinogenos & 0.10 & 0.09 & 0.07 & 0.14 & 0.28 & 0.37 & 0.23 & 0.32 & 0.20 & 0.37 & 0.30 & 1.00 & 0.51\\\\\n",
       "\tanfetaminas & 0.24 & 0.20 & 0.18 & 0.29 & 0.28 & 0.55 & 0.23 & 0.31 & 0.39 & 0.47 & 0.39 & 0.51 & 1.00\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 13 × 13\n",
       "\n",
       "| <!--/--> | cigarro &lt;dbl&gt; | cerveja &lt;dbl&gt; | vinho &lt;dbl&gt; | licor &lt;dbl&gt; | cocaina &lt;dbl&gt; | tranquilizantes &lt;dbl&gt; | medicamentos &lt;dbl&gt; | heroina &lt;dbl&gt; | maconha &lt;dbl&gt; | haxixe &lt;dbl&gt; | inalantes &lt;dbl&gt; | alucinogenos &lt;dbl&gt; | anfetaminas &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| cigarro | 1.00 | 0.45 | 0.42 | 0.44 | 0.11 | 0.20 | 0.09 | 0.08 | 0.51 | 0.30 | 0.24 | 0.10 | 0.24 |\n",
       "| cerveja | 0.45 | 1.00 | 0.62 | 0.60 | 0.07 | 0.15 | 0.10 | 0.06 | 0.44 | 0.32 | 0.20 | 0.09 | 0.20 |\n",
       "| vinho | 0.42 | 0.62 | 1.00 | 0.58 | 0.05 | 0.14 | 0.11 | 0.07 | 0.36 | 0.25 | 0.18 | 0.07 | 0.18 |\n",
       "| licor | 0.44 | 0.60 | 0.58 | 1.00 | 0.12 | 0.26 | 0.12 | 0.10 | 0.48 | 0.37 | 0.26 | 0.14 | 0.29 |\n",
       "| cocaina | 0.11 | 0.07 | 0.05 | 0.12 | 1.00 | 0.35 | 0.21 | 0.32 | 0.19 | 0.30 | 0.27 | 0.28 | 0.28 |\n",
       "| tranquilizantes | 0.20 | 0.15 | 0.14 | 0.26 | 0.35 | 1.00 | 0.22 | 0.36 | 0.32 | 0.38 | 0.32 | 0.37 | 0.55 |\n",
       "| medicamentos | 0.09 | 0.10 | 0.11 | 0.12 | 0.21 | 0.22 | 1.00 | 0.20 | 0.16 | 0.16 | 0.31 | 0.23 | 0.23 |\n",
       "| heroina | 0.08 | 0.06 | 0.07 | 0.10 | 0.32 | 0.36 | 0.20 | 1.00 | 0.15 | 0.22 | 0.29 | 0.32 | 0.31 |\n",
       "| maconha | 0.51 | 0.44 | 0.36 | 0.48 | 0.19 | 0.32 | 0.16 | 0.15 | 1.00 | 0.53 | 0.30 | 0.20 | 0.39 |\n",
       "| haxixe | 0.30 | 0.32 | 0.25 | 0.37 | 0.30 | 0.38 | 0.16 | 0.22 | 0.53 | 1.00 | 0.30 | 0.37 | 0.47 |\n",
       "| inalantes | 0.24 | 0.20 | 0.18 | 0.26 | 0.27 | 0.32 | 0.31 | 0.29 | 0.30 | 0.30 | 1.00 | 0.30 | 0.39 |\n",
       "| alucinogenos | 0.10 | 0.09 | 0.07 | 0.14 | 0.28 | 0.37 | 0.23 | 0.32 | 0.20 | 0.37 | 0.30 | 1.00 | 0.51 |\n",
       "| anfetaminas | 0.24 | 0.20 | 0.18 | 0.29 | 0.28 | 0.55 | 0.23 | 0.31 | 0.39 | 0.47 | 0.39 | 0.51 | 1.00 |\n",
       "\n"
      ],
      "text/plain": [
       "                cigarro cerveja vinho licor cocaina tranquilizantes\n",
       "cigarro         1.00    0.45    0.42  0.44  0.11    0.20           \n",
       "cerveja         0.45    1.00    0.62  0.60  0.07    0.15           \n",
       "vinho           0.42    0.62    1.00  0.58  0.05    0.14           \n",
       "licor           0.44    0.60    0.58  1.00  0.12    0.26           \n",
       "cocaina         0.11    0.07    0.05  0.12  1.00    0.35           \n",
       "tranquilizantes 0.20    0.15    0.14  0.26  0.35    1.00           \n",
       "medicamentos    0.09    0.10    0.11  0.12  0.21    0.22           \n",
       "heroina         0.08    0.06    0.07  0.10  0.32    0.36           \n",
       "maconha         0.51    0.44    0.36  0.48  0.19    0.32           \n",
       "haxixe          0.30    0.32    0.25  0.37  0.30    0.38           \n",
       "inalantes       0.24    0.20    0.18  0.26  0.27    0.32           \n",
       "alucinogenos    0.10    0.09    0.07  0.14  0.28    0.37           \n",
       "anfetaminas     0.24    0.20    0.18  0.29  0.28    0.55           \n",
       "                medicamentos heroina maconha haxixe inalantes alucinogenos\n",
       "cigarro         0.09         0.08    0.51    0.30   0.24      0.10        \n",
       "cerveja         0.10         0.06    0.44    0.32   0.20      0.09        \n",
       "vinho           0.11         0.07    0.36    0.25   0.18      0.07        \n",
       "licor           0.12         0.10    0.48    0.37   0.26      0.14        \n",
       "cocaina         0.21         0.32    0.19    0.30   0.27      0.28        \n",
       "tranquilizantes 0.22         0.36    0.32    0.38   0.32      0.37        \n",
       "medicamentos    1.00         0.20    0.16    0.16   0.31      0.23        \n",
       "heroina         0.20         1.00    0.15    0.22   0.29      0.32        \n",
       "maconha         0.16         0.15    1.00    0.53   0.30      0.20        \n",
       "haxixe          0.16         0.22    0.53    1.00   0.30      0.37        \n",
       "inalantes       0.31         0.29    0.30    0.30   1.00      0.30        \n",
       "alucinogenos    0.23         0.32    0.20    0.37   0.30      1.00        \n",
       "anfetaminas     0.23         0.31    0.39    0.47   0.39      0.51        \n",
       "                anfetaminas\n",
       "cigarro         0.24       \n",
       "cerveja         0.20       \n",
       "vinho           0.18       \n",
       "licor           0.29       \n",
       "cocaina         0.28       \n",
       "tranquilizantes 0.55       \n",
       "medicamentos    0.23       \n",
       "heroina         0.31       \n",
       "maconha         0.39       \n",
       "haxixe          0.47       \n",
       "inalantes       0.39       \n",
       "alucinogenos    0.51       \n",
       "anfetaminas     1.00       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "round(R,2);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cIQfVMv0ZcN2digc2d07sw90JNE2c7OslBiR6RHLseuXejVCwMHCvf6UnYpVg2X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tgdD4fEviOC3JEAhlGelMA90ZDHtDkWgp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\nTkSuQmCC",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "corrplot(as.matrix(R))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "ACP <- princomp(R, cor=TRUE)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Importance of components:\n",
       "                          Comp.1    Comp.2     Comp.3    Comp.4     Comp.5\n",
       "Standard deviation     2.3419170 1.4711314 1.04690364 0.9295598 0.90819473\n",
       "Proportion of Variance 0.4218904 0.1664791 0.08430825 0.0664678 0.06344751\n",
       "Cumulative Proportion  0.4218904 0.5883695 0.67267772 0.7391455 0.80259303\n",
       "                           Comp.6     Comp.7    Comp.8     Comp.9    Comp.10\n",
       "Standard deviation     0.80195574 0.76786315 0.7102991 0.51822132 0.48616249\n",
       "Proportion of Variance 0.04947177 0.04535491 0.0388096 0.02065795 0.01818107\n",
       "Cumulative Proportion  0.85206480 0.89741971 0.9362293 0.95688726 0.97506834\n",
       "                         Comp.11    Comp.12 Comp.13\n",
       "Standard deviation     0.4237757 0.38016542       0\n",
       "Proportion of Variance 0.0138143 0.01111737       0\n",
       "Cumulative Proportion  0.9888826 1.00000000       1\n",
       "\n",
       "Loadings:\n",
       "                Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Comp.6 Comp.7 Comp.8 Comp.9\n",
       "cigarro          0.334  0.105         0.194  0.143  0.151  0.357  0.605  0.211\n",
       "cerveja          0.393               -0.141               -0.171 -0.146       \n",
       "vinho            0.382               -0.242               -0.230 -0.103       \n",
       "licor            0.369  0.102        -0.160               -0.267 -0.243 -0.163\n",
       "cocaina         -0.265        -0.421  0.549               -0.462  0.143 -0.278\n",
       "tranquilizantes -0.232  0.348        -0.171  0.166  0.699 -0.136         0.414\n",
       "medicamentos    -0.178 -0.352  0.484        -0.517  0.291  0.117 -0.175       \n",
       "heroina         -0.293        -0.324 -0.124  0.391 -0.133  0.540 -0.387 -0.132\n",
       "maconha          0.264  0.378  0.109  0.310                0.357        -0.387\n",
       "haxixe                  0.537         0.289 -0.344 -0.278        -0.415  0.378\n",
       "inalantes       -0.142         0.647  0.309  0.595 -0.191 -0.208              \n",
       "alucinogenos    -0.287  0.238        -0.383 -0.185 -0.486         0.371  0.137\n",
       "anfetaminas     -0.194  0.485  0.197 -0.300         0.126         0.115 -0.580\n",
       "                Comp.10 Comp.11 Comp.12 Comp.13\n",
       "cigarro          0.267   0.252           0.349 \n",
       "cerveja                 -0.311   0.761   0.299 \n",
       "vinho            0.208  -0.371  -0.624   0.384 \n",
       "licor           -0.258   0.762                 \n",
       "cocaina                                  0.368 \n",
       "tranquilizantes -0.211  -0.112           0.131 \n",
       "medicamentos                             0.444 \n",
       "heroina                                  0.384 \n",
       "maconha         -0.530  -0.281  -0.141         \n",
       "haxixe           0.321                         \n",
       "inalantes                                0.114 \n",
       "alucinogenos    -0.403                   0.339 \n",
       "anfetaminas      0.470                         "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "summary(ACP,2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "11. 0.392409014794681\n",
       "12. 0.374718130035143\n",
       "13. 0.36018552018195\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] 4.3795077 2.0405659 0.9514348 0.8145828 0.7682859 0.6936807 0.6303100\n",
       " [8] 0.6208872 0.5703302 0.4031022 0.3924090 0.3747181 0.3601855"
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       "1. 0.336885208236621\n",
       "2. 0.156966609502538\n",
       "3. 0.0731872931046925\n",
       "4. 0.0626602120809213\n",
       "5. 0.0590989130525764\n",
       "6. 0.053360051069679\n",
       "7. 0.0484853841292841\n",
       "8. 0.0477605531631823\n",
       "9. 0.0438715536598055\n",
       "10. 0.03100786315364\n",
       "11. 0.0301853088303601\n",
       "12. 0.0288244715411648\n",
       "13. 0.0277065784755346\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] 0.33688521 0.15696661 0.07318729 0.06266021 0.05909891 0.05336005\n",
       " [7] 0.04848538 0.04776055 0.04387155 0.03100786 0.03018531 0.02882447\n",
       "[13] 0.02770658"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 13 × 13 of type dbl</caption>\n",
       "<tbody>\n",
       "\t<tr><td>-0.2785956</td><td>-0.2791504</td><td>-0.05146505</td><td> 0.01073321</td><td>-0.3374673</td><td>-0.39202283</td><td>-0.12792532</td><td> 0.12551078</td><td> 0.64328589</td><td>-0.150668599</td><td>-0.138476832</td><td> 0.18204095</td><td> 0.230606352</td></tr>\n",
       "\t<tr><td>-0.2864241</td><td>-0.3961860</td><td> 0.12022106</td><td> 0.10886840</td><td> 0.1910866</td><td> 0.14219592</td><td> 0.09895279</td><td> 0.02205357</td><td>-0.05540328</td><td>-0.040472894</td><td>-0.055085322</td><td>-0.70169366</td><td> 0.409346605</td></tr>\n",
       "\t<tr><td>-0.2662810</td><td>-0.3912438</td><td> 0.20128247</td><td> 0.15208159</td><td> 0.3188698</td><td> 0.14483419</td><td> 0.05248299</td><td>-0.07944937</td><td> 0.07626020</td><td>-0.461771495</td><td> 0.198896737</td><td> 0.20507939</td><td>-0.529142429</td></tr>\n",
       "\t<tr><td>-0.3181914</td><td>-0.3240700</td><td> 0.04536744</td><td> 0.06956013</td><td> 0.1857944</td><td> 0.12395599</td><td>-0.00967491</td><td>-0.16639939</td><td>-0.17358025</td><td> 0.606176599</td><td>-0.154151807</td><td> 0.50192103</td><td> 0.189476536</td></tr>\n",
       "\t<tr><td>-0.2081323</td><td> 0.2902823</td><td> 0.06750600</td><td> 0.57291186</td><td>-0.4327572</td><td> 0.42989224</td><td> 0.21479289</td><td>-0.20758639</td><td> 0.21090744</td><td> 0.085243093</td><td> 0.161700040</td><td>-0.02051140</td><td>-0.001362022</td></tr>\n",
       "\t<tr><td>-0.2928156</td><td> 0.2618401</td><td>-0.16929966</td><td> 0.07601164</td><td> 0.1107331</td><td>-0.04771326</td><td>-0.56400076</td><td>-0.48712322</td><td>-0.03159159</td><td>-0.108764990</td><td>-0.422309175</td><td>-0.16580275</td><td>-0.150568660</td></tr>\n",
       "\t<tr><td>-0.1767971</td><td> 0.1894135</td><td> 0.72645486</td><td>-0.37531186</td><td>-0.1554262</td><td> 0.27841122</td><td>-0.34266824</td><td> 0.19927213</td><td> 0.01700342</td><td>-0.008078996</td><td> 0.001129389</td><td> 0.03789620</td><td> 0.060636945</td></tr>\n",
       "\t<tr><td>-0.2014252</td><td> 0.3178107</td><td> 0.14998306</td><td> 0.53830398</td><td> 0.2908874</td><td>-0.38161153</td><td>-0.13013320</td><td> 0.51058135</td><td>-0.17300833</td><td> 0.018298984</td><td> 0.044982339</td><td> 0.05337749</td><td> 0.056107528</td></tr>\n",
       "\t<tr><td>-0.3399594</td><td>-0.1611473</td><td>-0.21443834</td><td>-0.13138444</td><td>-0.3689874</td><td>-0.10666709</td><td>-0.13086339</td><td> 0.26345922</td><td>-0.17008027</td><td> 0.373720155</td><td> 0.198902911</td><td>-0.28689531</td><td>-0.520271699</td></tr>\n",
       "\t<tr><td>-0.3294994</td><td> 0.0507261</td><td>-0.34731516</td><td>-0.12648637</td><td>-0.2321217</td><td> 0.26399690</td><td> 0.13381283</td><td> 0.28332814</td><td>-0.42740400</td><td>-0.446434189</td><td>-0.234753136</td><td> 0.23598363</td><td> 0.194164534</td></tr>\n",
       "\t<tr><td>-0.2738588</td><td> 0.1625199</td><td> 0.33300062</td><td>-0.16118113</td><td>-0.1447264</td><td>-0.50707816</td><td> 0.53647564</td><td>-0.35538565</td><td>-0.23112699</td><td>-0.051584609</td><td>-0.095975005</td><td>-0.03047161</td><td>-0.057623119</td></tr>\n",
       "\t<tr><td>-0.2455858</td><td> 0.3275212</td><td>-0.14873856</td><td>-0.25960891</td><td> 0.3893150</td><td> 0.19624985</td><td> 0.37234862</td><td> 0.23670150</td><td> 0.45019854</td><td> 0.178804283</td><td>-0.285718203</td><td>-0.07838416</td><td>-0.188991085</td></tr>\n",
       "\t<tr><td>-0.3284079</td><td> 0.2347105</td><td>-0.23927013</td><td>-0.26228284</td><td> 0.2062685</td><td>-0.05308330</td><td>-0.10452593</td><td>-0.19225958</td><td> 0.06137722</td><td>-0.043352292</td><td> 0.722795239</td><td> 0.05690767</td><td> 0.294014911</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 13 × 13 of type dbl\n",
       "\\begin{tabular}{lllllllllllll}\n",
       "\t -0.2785956 & -0.2791504 & -0.05146505 &  0.01073321 & -0.3374673 & -0.39202283 & -0.12792532 &  0.12551078 &  0.64328589 & -0.150668599 & -0.138476832 &  0.18204095 &  0.230606352\\\\\n",
       "\t -0.2864241 & -0.3961860 &  0.12022106 &  0.10886840 &  0.1910866 &  0.14219592 &  0.09895279 &  0.02205357 & -0.05540328 & -0.040472894 & -0.055085322 & -0.70169366 &  0.409346605\\\\\n",
       "\t -0.2662810 & -0.3912438 &  0.20128247 &  0.15208159 &  0.3188698 &  0.14483419 &  0.05248299 & -0.07944937 &  0.07626020 & -0.461771495 &  0.198896737 &  0.20507939 & -0.529142429\\\\\n",
       "\t -0.3181914 & -0.3240700 &  0.04536744 &  0.06956013 &  0.1857944 &  0.12395599 & -0.00967491 & -0.16639939 & -0.17358025 &  0.606176599 & -0.154151807 &  0.50192103 &  0.189476536\\\\\n",
       "\t -0.2081323 &  0.2902823 &  0.06750600 &  0.57291186 & -0.4327572 &  0.42989224 &  0.21479289 & -0.20758639 &  0.21090744 &  0.085243093 &  0.161700040 & -0.02051140 & -0.001362022\\\\\n",
       "\t -0.2928156 &  0.2618401 & -0.16929966 &  0.07601164 &  0.1107331 & -0.04771326 & -0.56400076 & -0.48712322 & -0.03159159 & -0.108764990 & -0.422309175 & -0.16580275 & -0.150568660\\\\\n",
       "\t -0.1767971 &  0.1894135 &  0.72645486 & -0.37531186 & -0.1554262 &  0.27841122 & -0.34266824 &  0.19927213 &  0.01700342 & -0.008078996 &  0.001129389 &  0.03789620 &  0.060636945\\\\\n",
       "\t -0.2014252 &  0.3178107 &  0.14998306 &  0.53830398 &  0.2908874 & -0.38161153 & -0.13013320 &  0.51058135 & -0.17300833 &  0.018298984 &  0.044982339 &  0.05337749 &  0.056107528\\\\\n",
       "\t -0.3399594 & -0.1611473 & -0.21443834 & -0.13138444 & -0.3689874 & -0.10666709 & -0.13086339 &  0.26345922 & -0.17008027 &  0.373720155 &  0.198902911 & -0.28689531 & -0.520271699\\\\\n",
       "\t -0.3294994 &  0.0507261 & -0.34731516 & -0.12648637 & -0.2321217 &  0.26399690 &  0.13381283 &  0.28332814 & -0.42740400 & -0.446434189 & -0.234753136 &  0.23598363 &  0.194164534\\\\\n",
       "\t -0.2738588 &  0.1625199 &  0.33300062 & -0.16118113 & -0.1447264 & -0.50707816 &  0.53647564 & -0.35538565 & -0.23112699 & -0.051584609 & -0.095975005 & -0.03047161 & -0.057623119\\\\\n",
       "\t -0.2455858 &  0.3275212 & -0.14873856 & -0.25960891 &  0.3893150 &  0.19624985 &  0.37234862 &  0.23670150 &  0.45019854 &  0.178804283 & -0.285718203 & -0.07838416 & -0.188991085\\\\\n",
       "\t -0.3284079 &  0.2347105 & -0.23927013 & -0.26228284 &  0.2062685 & -0.05308330 & -0.10452593 & -0.19225958 &  0.06137722 & -0.043352292 &  0.722795239 &  0.05690767 &  0.294014911\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 13 × 13 of type dbl\n",
       "\n",
       "| -0.2785956 | -0.2791504 | -0.05146505 |  0.01073321 | -0.3374673 | -0.39202283 | -0.12792532 |  0.12551078 |  0.64328589 | -0.150668599 | -0.138476832 |  0.18204095 |  0.230606352 |\n",
       "| -0.2864241 | -0.3961860 |  0.12022106 |  0.10886840 |  0.1910866 |  0.14219592 |  0.09895279 |  0.02205357 | -0.05540328 | -0.040472894 | -0.055085322 | -0.70169366 |  0.409346605 |\n",
       "| -0.2662810 | -0.3912438 |  0.20128247 |  0.15208159 |  0.3188698 |  0.14483419 |  0.05248299 | -0.07944937 |  0.07626020 | -0.461771495 |  0.198896737 |  0.20507939 | -0.529142429 |\n",
       "| -0.3181914 | -0.3240700 |  0.04536744 |  0.06956013 |  0.1857944 |  0.12395599 | -0.00967491 | -0.16639939 | -0.17358025 |  0.606176599 | -0.154151807 |  0.50192103 |  0.189476536 |\n",
       "| -0.2081323 |  0.2902823 |  0.06750600 |  0.57291186 | -0.4327572 |  0.42989224 |  0.21479289 | -0.20758639 |  0.21090744 |  0.085243093 |  0.161700040 | -0.02051140 | -0.001362022 |\n",
       "| -0.2928156 |  0.2618401 | -0.16929966 |  0.07601164 |  0.1107331 | -0.04771326 | -0.56400076 | -0.48712322 | -0.03159159 | -0.108764990 | -0.422309175 | -0.16580275 | -0.150568660 |\n",
       "| -0.1767971 |  0.1894135 |  0.72645486 | -0.37531186 | -0.1554262 |  0.27841122 | -0.34266824 |  0.19927213 |  0.01700342 | -0.008078996 |  0.001129389 |  0.03789620 |  0.060636945 |\n",
       "| -0.2014252 |  0.3178107 |  0.14998306 |  0.53830398 |  0.2908874 | -0.38161153 | -0.13013320 |  0.51058135 | -0.17300833 |  0.018298984 |  0.044982339 |  0.05337749 |  0.056107528 |\n",
       "| -0.3399594 | -0.1611473 | -0.21443834 | -0.13138444 | -0.3689874 | -0.10666709 | -0.13086339 |  0.26345922 | -0.17008027 |  0.373720155 |  0.198902911 | -0.28689531 | -0.520271699 |\n",
       "| -0.3294994 |  0.0507261 | -0.34731516 | -0.12648637 | -0.2321217 |  0.26399690 |  0.13381283 |  0.28332814 | -0.42740400 | -0.446434189 | -0.234753136 |  0.23598363 |  0.194164534 |\n",
       "| -0.2738588 |  0.1625199 |  0.33300062 | -0.16118113 | -0.1447264 | -0.50707816 |  0.53647564 | -0.35538565 | -0.23112699 | -0.051584609 | -0.095975005 | -0.03047161 | -0.057623119 |\n",
       "| -0.2455858 |  0.3275212 | -0.14873856 | -0.25960891 |  0.3893150 |  0.19624985 |  0.37234862 |  0.23670150 |  0.45019854 |  0.178804283 | -0.285718203 | -0.07838416 | -0.188991085 |\n",
       "| -0.3284079 |  0.2347105 | -0.23927013 | -0.26228284 |  0.2062685 | -0.05308330 | -0.10452593 | -0.19225958 |  0.06137722 | -0.043352292 |  0.722795239 |  0.05690767 |  0.294014911 |\n",
       "\n"
      ],
      "text/plain": [
       "      [,1]       [,2]       [,3]        [,4]        [,5]       [,6]       \n",
       " [1,] -0.2785956 -0.2791504 -0.05146505  0.01073321 -0.3374673 -0.39202283\n",
       " [2,] -0.2864241 -0.3961860  0.12022106  0.10886840  0.1910866  0.14219592\n",
       " [3,] -0.2662810 -0.3912438  0.20128247  0.15208159  0.3188698  0.14483419\n",
       " [4,] -0.3181914 -0.3240700  0.04536744  0.06956013  0.1857944  0.12395599\n",
       " [5,] -0.2081323  0.2902823  0.06750600  0.57291186 -0.4327572  0.42989224\n",
       " [6,] -0.2928156  0.2618401 -0.16929966  0.07601164  0.1107331 -0.04771326\n",
       " [7,] -0.1767971  0.1894135  0.72645486 -0.37531186 -0.1554262  0.27841122\n",
       " [8,] -0.2014252  0.3178107  0.14998306  0.53830398  0.2908874 -0.38161153\n",
       " [9,] -0.3399594 -0.1611473 -0.21443834 -0.13138444 -0.3689874 -0.10666709\n",
       "[10,] -0.3294994  0.0507261 -0.34731516 -0.12648637 -0.2321217  0.26399690\n",
       "[11,] -0.2738588  0.1625199  0.33300062 -0.16118113 -0.1447264 -0.50707816\n",
       "[12,] -0.2455858  0.3275212 -0.14873856 -0.25960891  0.3893150  0.19624985\n",
       "[13,] -0.3284079  0.2347105 -0.23927013 -0.26228284  0.2062685 -0.05308330\n",
       "      [,7]        [,8]        [,9]        [,10]        [,11]        [,12]      \n",
       " [1,] -0.12792532  0.12551078  0.64328589 -0.150668599 -0.138476832  0.18204095\n",
       " [2,]  0.09895279  0.02205357 -0.05540328 -0.040472894 -0.055085322 -0.70169366\n",
       " [3,]  0.05248299 -0.07944937  0.07626020 -0.461771495  0.198896737  0.20507939\n",
       " [4,] -0.00967491 -0.16639939 -0.17358025  0.606176599 -0.154151807  0.50192103\n",
       " [5,]  0.21479289 -0.20758639  0.21090744  0.085243093  0.161700040 -0.02051140\n",
       " [6,] -0.56400076 -0.48712322 -0.03159159 -0.108764990 -0.422309175 -0.16580275\n",
       " [7,] -0.34266824  0.19927213  0.01700342 -0.008078996  0.001129389  0.03789620\n",
       " [8,] -0.13013320  0.51058135 -0.17300833  0.018298984  0.044982339  0.05337749\n",
       " [9,] -0.13086339  0.26345922 -0.17008027  0.373720155  0.198902911 -0.28689531\n",
       "[10,]  0.13381283  0.28332814 -0.42740400 -0.446434189 -0.234753136  0.23598363\n",
       "[11,]  0.53647564 -0.35538565 -0.23112699 -0.051584609 -0.095975005 -0.03047161\n",
       "[12,]  0.37234862  0.23670150  0.45019854  0.178804283 -0.285718203 -0.07838416\n",
       "[13,] -0.10452593 -0.19225958  0.06137722 -0.043352292  0.722795239  0.05690767\n",
       "      [,13]       \n",
       " [1,]  0.230606352\n",
       " [2,]  0.409346605\n",
       " [3,] -0.529142429\n",
       " [4,]  0.189476536\n",
       " [5,] -0.001362022\n",
       " [6,] -0.150568660\n",
       " [7,]  0.060636945\n",
       " [8,]  0.056107528\n",
       " [9,] -0.520271699\n",
       "[10,]  0.194164534\n",
       "[11,] -0.057623119\n",
       "[12,] -0.188991085\n",
       "[13,]  0.294014911"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>-0.28</li><li>-0.29</li><li>-0.27</li><li>-0.32</li><li>-0.21</li><li>-0.29</li><li>-0.18</li><li>-0.2</li><li>-0.34</li><li>-0.33</li><li>-0.27</li><li>-0.25</li><li>-0.33</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item -0.28\n",
       "\\item -0.29\n",
       "\\item -0.27\n",
       "\\item -0.32\n",
       "\\item -0.21\n",
       "\\item -0.29\n",
       "\\item -0.18\n",
       "\\item -0.2\n",
       "\\item -0.34\n",
       "\\item -0.33\n",
       "\\item -0.27\n",
       "\\item -0.25\n",
       "\\item -0.33\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. -0.28\n",
       "2. -0.29\n",
       "3. -0.27\n",
       "4. -0.32\n",
       "5. -0.21\n",
       "6. -0.29\n",
       "7. -0.18\n",
       "8. -0.2\n",
       "9. -0.34\n",
       "10. -0.33\n",
       "11. -0.27\n",
       "12. -0.25\n",
       "13. -0.33\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] -0.28 -0.29 -0.27 -0.32 -0.21 -0.29 -0.18 -0.20 -0.34 -0.33 -0.27 -0.25\n",
       "[13] -0.33"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eigen(R)$values\n",
    "\n",
    "eigen(R)$values/sum(eigen(R)$values)\n",
    "\n",
    "eigen(R)$vectors\n",
    "\n",
    "round(eigen(R)$vectors,2)[,1]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Importance of components:\n",
       "                          PC1    PC2     PC3     PC4     PC5     PC6     PC7\n",
       "Standard deviation     0.5966 0.3283 0.24033 0.22184 0.20195 0.18481 0.18195\n",
       "Proportion of Variance 0.4703 0.1424 0.07632 0.06502 0.05389 0.04513 0.04375\n",
       "Cumulative Proportion  0.4703 0.6127 0.68904 0.75407 0.80796 0.85308 0.89683\n",
       "                           PC8     PC9    PC10    PC11   PC12      PC13\n",
       "Standard deviation     0.16984 0.11713 0.11398 0.10820 0.1040 2.282e-17\n",
       "Proportion of Variance 0.03812 0.01813 0.01716 0.01547 0.0143 0.000e+00\n",
       "Cumulative Proportion  0.93494 0.95307 0.97023 0.98570 1.0000 1.000e+00"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "summary(prcomp(R))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 13 × 1 of type dbl</caption>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>cigarro</th><td>-0.33</td></tr>\n",
       "\t<tr><th scope=row>cerveja</th><td>-0.44</td></tr>\n",
       "\t<tr><th scope=row>vinho</th><td>-0.43</td></tr>\n",
       "\t<tr><th scope=row>licor</th><td>-0.38</td></tr>\n",
       "\t<tr><th scope=row>cocaina</th><td> 0.25</td></tr>\n",
       "\t<tr><th scope=row>tranquilizantes</th><td> 0.20</td></tr>\n",
       "\t<tr><th scope=row>medicamentos</th><td> 0.17</td></tr>\n",
       "\t<tr><th scope=row>heroina</th><td> 0.28</td></tr>\n",
       "\t<tr><th scope=row>maconha</th><td>-0.23</td></tr>\n",
       "\t<tr><th scope=row>haxixe</th><td>-0.02</td></tr>\n",
       "\t<tr><th scope=row>inalantes</th><td> 0.11</td></tr>\n",
       "\t<tr><th scope=row>alucinogenos</th><td> 0.27</td></tr>\n",
       "\t<tr><th scope=row>anfetaminas</th><td> 0.16</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 13 × 1 of type dbl\n",
       "\\begin{tabular}{r|l}\n",
       "\tcigarro & -0.33\\\\\n",
       "\tcerveja & -0.44\\\\\n",
       "\tvinho & -0.43\\\\\n",
       "\tlicor & -0.38\\\\\n",
       "\tcocaina &  0.25\\\\\n",
       "\ttranquilizantes &  0.20\\\\\n",
       "\tmedicamentos &  0.17\\\\\n",
       "\theroina &  0.28\\\\\n",
       "\tmaconha & -0.23\\\\\n",
       "\thaxixe & -0.02\\\\\n",
       "\tinalantes &  0.11\\\\\n",
       "\talucinogenos &  0.27\\\\\n",
       "\tanfetaminas &  0.16\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 13 × 1 of type dbl\n",
       "\n",
       "| cigarro | -0.33 |\n",
       "| cerveja | -0.44 |\n",
       "| vinho | -0.43 |\n",
       "| licor | -0.38 |\n",
       "| cocaina |  0.25 |\n",
       "| tranquilizantes |  0.20 |\n",
       "| medicamentos |  0.17 |\n",
       "| heroina |  0.28 |\n",
       "| maconha | -0.23 |\n",
       "| haxixe | -0.02 |\n",
       "| inalantes |  0.11 |\n",
       "| alucinogenos |  0.27 |\n",
       "| anfetaminas |  0.16 |\n",
       "\n"
      ],
      "text/plain": [
       "                [,1] \n",
       "cigarro         -0.33\n",
       "cerveja         -0.44\n",
       "vinho           -0.43\n",
       "licor           -0.38\n",
       "cocaina          0.25\n",
       "tranquilizantes  0.20\n",
       "medicamentos     0.17\n",
       "heroina          0.28\n",
       "maconha         -0.23\n",
       "haxixe          -0.02\n",
       "inalantes        0.11\n",
       "alucinogenos     0.27\n",
       "anfetaminas      0.16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# --- Análise da primeira componente principal --- #\n",
    "# --- Quais os maiores pesos? --- #\n",
    "# --- Que nome você daria à primeira componente principal? --- #\n",
    "\n",
    "t(t(round(prcomp(R)[[2]][,1],2)))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>'cigarro'</li><li>'cerveja'</li><li>'vinho'</li><li>'licor'</li><li>'cocaina'</li><li>'tranquilizantes'</li><li>'medicamentos'</li><li>'heroina'</li><li>'maconha'</li><li>'haxixe'</li><li>'inalantes'</li><li>'alucinogenos'</li><li>'anfetaminas'</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'cigarro'\n",
       "\\item 'cerveja'\n",
       "\\item 'vinho'\n",
       "\\item 'licor'\n",
       "\\item 'cocaina'\n",
       "\\item 'tranquilizantes'\n",
       "\\item 'medicamentos'\n",
       "\\item 'heroina'\n",
       "\\item 'maconha'\n",
       "\\item 'haxixe'\n",
       "\\item 'inalantes'\n",
       "\\item 'alucinogenos'\n",
       "\\item 'anfetaminas'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'cigarro'\n",
       "2. 'cerveja'\n",
       "3. 'vinho'\n",
       "4. 'licor'\n",
       "5. 'cocaina'\n",
       "6. 'tranquilizantes'\n",
       "7. 'medicamentos'\n",
       "8. 'heroina'\n",
       "9. 'maconha'\n",
       "10. 'haxixe'\n",
       "11. 'inalantes'\n",
       "12. 'alucinogenos'\n",
       "13. 'anfetaminas'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] \"cigarro\"         \"cerveja\"         \"vinho\"           \"licor\"          \n",
       " [5] \"cocaina\"         \"tranquilizantes\" \"medicamentos\"    \"heroina\"        \n",
       " [9] \"maconha\"         \"haxixe\"          \"inalantes\"       \"alucinogenos\"   \n",
       "[13] \"anfetaminas\"    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "names(prcomp(R)[[2]][,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>'heroina'</li><li>'alucinogenos'</li><li>'cocaina'</li><li>'tranquilizantes'</li><li>'medicamentos'</li><li>'anfetaminas'</li><li>'inalantes'</li><li>'haxixe'</li><li>'maconha'</li><li>'cigarro'</li><li>'licor'</li><li>'vinho'</li><li>'cerveja'</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'heroina'\n",
       "\\item 'alucinogenos'\n",
       "\\item 'cocaina'\n",
       "\\item 'tranquilizantes'\n",
       "\\item 'medicamentos'\n",
       "\\item 'anfetaminas'\n",
       "\\item 'inalantes'\n",
       "\\item 'haxixe'\n",
       "\\item 'maconha'\n",
       "\\item 'cigarro'\n",
       "\\item 'licor'\n",
       "\\item 'vinho'\n",
       "\\item 'cerveja'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'heroina'\n",
       "2. 'alucinogenos'\n",
       "3. 'cocaina'\n",
       "4. 'tranquilizantes'\n",
       "5. 'medicamentos'\n",
       "6. 'anfetaminas'\n",
       "7. 'inalantes'\n",
       "8. 'haxixe'\n",
       "9. 'maconha'\n",
       "10. 'cigarro'\n",
       "11. 'licor'\n",
       "12. 'vinho'\n",
       "13. 'cerveja'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] \"heroina\"         \"alucinogenos\"    \"cocaina\"         \"tranquilizantes\"\n",
       " [5] \"medicamentos\"    \"anfetaminas\"     \"inalantes\"       \"haxixe\"         \n",
       " [9] \"maconha\"         \"cigarro\"         \"licor\"           \"vinho\"          \n",
       "[13] \"cerveja\"        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Ordenação das componentes em PCA1\n",
    "\n",
    "ordem = order(round(prcomp(R)[[2]][,1],2),decreasing = T)\n",
    "\n",
    "names(prcomp(R)[[2]][,1])[ordem]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CCAHgtCWlhrp7lJAC0WhLRa/dfcJIAW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\nAEICBPw/YKJrqDi3kT8AAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Scree plot”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Quantas componentes escolher?\n",
    "\n",
    "# --- Scree plot --- #\n",
    "\n",
    "plot(eigen(R)[[1]], type=\"b\", pch=16, main=\"Scree plot\", ylab=\"autovalor\", xlab=\"ordem da componente\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}