Lecture07.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, we cover:\n",
    "\n",
    "* [Visualizing Distributions](#Visualizing-Distributions)\n",
    "\n",
    "Let us, as always, load up the `tidyverse` package."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizing Distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading tidyverse: ggplot2\n",
      "Loading tidyverse: tibble\n",
      "Loading tidyverse: tidyr\n",
      "Loading tidyverse: readr\n",
      "Loading tidyverse: purrr\n",
      "Loading tidyverse: dplyr\n",
      "Conflicts with tidy packages ---------------------------------------------------\n",
      "filter(): dplyr, stats\n",
      "lag():    dplyr, stats\n"
     ]
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=4)\n",
    "library(tidyverse)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Recall that a **categorical** variable is one that can only take one of a small set of values. Recall the `diamonds` data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# A tibble: 53,940 x 10\n",
      "   carat       cut color clarity depth table price     x     y     z\n",
      "   <dbl>     <ord> <ord>   <ord> <dbl> <dbl> <int> <dbl> <dbl> <dbl>\n",
      " 1  0.23     Ideal     E     SI2  61.5    55   326  3.95  3.98  2.43\n",
      " 2  0.21   Premium     E     SI1  59.8    61   326  3.89  3.84  2.31\n",
      " 3  0.23      Good     E     VS1  56.9    65   327  4.05  4.07  2.31\n",
      " 4  0.29   Premium     I     VS2  62.4    58   334  4.20  4.23  2.63\n",
      " 5  0.31      Good     J     SI2  63.3    58   335  4.34  4.35  2.75\n",
      " 6  0.24 Very Good     J    VVS2  62.8    57   336  3.94  3.96  2.48\n",
      " 7  0.24 Very Good     I    VVS1  62.3    57   336  3.95  3.98  2.47\n",
      " 8  0.26 Very Good     H     SI1  61.9    55   337  4.07  4.11  2.53\n",
      " 9  0.22      Fair     E     VS2  65.1    61   337  3.87  3.78  2.49\n",
      "10  0.23 Very Good     H     VS1  59.4    61   338  4.00  4.05  2.39\n",
      "# ... with 53,930 more rows\n"
     ]
    }
   ],
   "source": [
    "print(diamonds)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here the variable **color** is categorical. Let us plot a bar chart to examine its distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HPOiRUrVmR18srbG7JCgAABAgQIECBA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\nEBhQAQF6QPkdnAABAgQIECBAoGgC/x+x7sKPHhmkSgAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data = diamonds) +\n",
    "    geom_bar(mapping = aes(x = color))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These counts can be computed manually using the `count()` function in `dplyr`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>color</th><th scope=col>n</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>D    </td><td> 6775</td></tr>\n",
       "\t<tr><td>E    </td><td> 9797</td></tr>\n",
       "\t<tr><td>F    </td><td> 9542</td></tr>\n",
       "\t<tr><td>G    </td><td>11292</td></tr>\n",
       "\t<tr><td>H    </td><td> 8304</td></tr>\n",
       "\t<tr><td>I    </td><td> 5422</td></tr>\n",
       "\t<tr><td>J    </td><td> 2808</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       " color & n\\\\\n",
       "\\hline\n",
       "\t D     &  6775\\\\\n",
       "\t E     &  9797\\\\\n",
       "\t F     &  9542\\\\\n",
       "\t G     & 11292\\\\\n",
       "\t H     &  8304\\\\\n",
       "\t I     &  5422\\\\\n",
       "\t J     &  2808\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "color | n | \n",
       "|---|---|---|---|---|---|---|\n",
       "| D     |  6775 | \n",
       "| E     |  9797 | \n",
       "| F     |  9542 | \n",
       "| G     | 11292 | \n",
       "| H     |  8304 | \n",
       "| I     |  5422 | \n",
       "| J     |  2808 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  color n    \n",
       "1 D      6775\n",
       "2 E      9797\n",
       "3 F      9542\n",
       "4 G     11292\n",
       "5 H      8304\n",
       "6 I      5422\n",
       "7 J      2808"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "count(diamonds, color)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can get the same result but using a pipe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>color</th><th scope=col>n</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>D    </td><td> 6775</td></tr>\n",
       "\t<tr><td>E    </td><td> 9797</td></tr>\n",
       "\t<tr><td>F    </td><td> 9542</td></tr>\n",
       "\t<tr><td>G    </td><td>11292</td></tr>\n",
       "\t<tr><td>H    </td><td> 8304</td></tr>\n",
       "\t<tr><td>I    </td><td> 5422</td></tr>\n",
       "\t<tr><td>J    </td><td> 2808</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       " color & n\\\\\n",
       "\\hline\n",
       "\t D     &  6775\\\\\n",
       "\t E     &  9797\\\\\n",
       "\t F     &  9542\\\\\n",
       "\t G     & 11292\\\\\n",
       "\t H     &  8304\\\\\n",
       "\t I     &  5422\\\\\n",
       "\t J     &  2808\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "color | n | \n",
       "|---|---|---|---|---|---|---|\n",
       "| D     |  6775 | \n",
       "| E     |  9797 | \n",
       "| F     |  9542 | \n",
       "| G     | 11292 | \n",
       "| H     |  8304 | \n",
       "| I     |  5422 | \n",
       "| J     |  2808 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  color n    \n",
       "1 D      6775\n",
       "2 E      9797\n",
       "3 F      9542\n",
       "4 G     11292\n",
       "5 H      8304\n",
       "6 I      5422\n",
       "7 J      2808"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diamonds %>%\n",
    "    count(color)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A **continuous** variable can take one of an infinite number of ordered values. Let us look at the **dep_delay** variables from the `flights` data set. Note that we are about to use a new ggplot geometry, namely **geom_histogram**. It can be used to visualize the distribution of a continuous variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Removed 8255 rows containing non-finite values (stat_bin).”"
     ]
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5577knz589PO+20U9p7773r9v/oo4+m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\n8sGLJLA3fwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(nycflights13)\n",
    "    ggplot(data = flights) +\n",
    "        geom_histogram(mapping = aes(x = dep_delay), binwidth = 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, so 8255 rows got ignored. Let us find out why."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>n</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>8255</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|l}\n",
       " n\\\\\n",
       "\\hline\n",
       "\t 8255\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "n | \n",
       "|---|\n",
       "| 8255 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  n   \n",
       "1 8255"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights %>%\n",
    "    filter(is.na(dep_delay)) %>%\n",
    "    count()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let us work with non-missing values only."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5577knz589PO+20U9p7773r9v/oo4+m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\n8sGLJLA3fwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona <- filter(flights, !is.na(dep_delay))\n",
    "ggplot(flights_nona) +\n",
    "    geom_histogram(mapping = aes(x = dep_delay), binwidth = 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us zoom into the left part of the plot. Let us only look at flights with departure delays of less than an hour."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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n4TIID2W42R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\nEEAAAQTaK/D/k/ROU+6dCMwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona %>%\n",
    "    filter(dep_delay < 60) %>%\n",
    "    ggplot() +\n",
    "        geom_histogram(mapping = aes(x = dep_delay), binwidth = 5) # we choose a smaller bin width now"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can look at the underlying bins and their count by using the `cut_width` function in ggplot2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>cut_width(dep_delay, 5)</th><th scope=col>n</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>[-47.5,-42.5]</td><td>     1       </td></tr>\n",
       "\t<tr><td>(-37.5,-32.5]</td><td>     1       </td></tr>\n",
       "\t<tr><td>(-32.5,-27.5]</td><td>     2       </td></tr>\n",
       "\t<tr><td>(-27.5,-22.5]</td><td>    14       </td></tr>\n",
       "\t<tr><td>(-22.5,-17.5]</td><td>   160       </td></tr>\n",
       "\t<tr><td>(-17.5,-12.5]</td><td>  2079       </td></tr>\n",
       "\t<tr><td>(-12.5,-7.5] </td><td> 29878       </td></tr>\n",
       "\t<tr><td>(-7.5,-2.5]  </td><td>111111       </td></tr>\n",
       "\t<tr><td>(-2.5,2.5]   </td><td> 71126       </td></tr>\n",
       "\t<tr><td>(2.5,7.5]    </td><td> 22013       </td></tr>\n",
       "\t<tr><td>(7.5,12.5]   </td><td> 14552       </td></tr>\n",
       "\t<tr><td>(12.5,17.5]  </td><td> 10768       </td></tr>\n",
       "\t<tr><td>(17.5,22.5]  </td><td>  8277       </td></tr>\n",
       "\t<tr><td>(22.5,27.5]  </td><td>  6764       </td></tr>\n",
       "\t<tr><td>(27.5,32.5]  </td><td>  5601       </td></tr>\n",
       "\t<tr><td>(32.5,37.5]  </td><td>  4647       </td></tr>\n",
       "\t<tr><td>(37.5,42.5]  </td><td>  4027       </td></tr>\n",
       "\t<tr><td>(42.5,47.5]  </td><td>  3553       </td></tr>\n",
       "\t<tr><td>(47.5,52.5]  </td><td>  3059       </td></tr>\n",
       "\t<tr><td>(52.5,57.5]  </td><td>  2770       </td></tr>\n",
       "\t<tr><td>(57.5,62.5]  </td><td>  1059       </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       " cut\\_width(dep\\_delay, 5) & n\\\\\n",
       "\\hline\n",
       "\t {[}-47.5,-42.5{]} &      1           \\\\\n",
       "\t (-37.5,-32.5{]} &      1         \\\\\n",
       "\t (-32.5,-27.5{]} &      2         \\\\\n",
       "\t (-27.5,-22.5{]} &     14         \\\\\n",
       "\t (-22.5,-17.5{]} &    160         \\\\\n",
       "\t (-17.5,-12.5{]} &   2079         \\\\\n",
       "\t (-12.5,-7.5{]}  &  29878         \\\\\n",
       "\t (-7.5,-2.5{]}   & 111111         \\\\\n",
       "\t (-2.5,2.5{]}    &  71126         \\\\\n",
       "\t (2.5,7.5{]}     &  22013         \\\\\n",
       "\t (7.5,12.5{]}    &  14552         \\\\\n",
       "\t (12.5,17.5{]}   &  10768         \\\\\n",
       "\t (17.5,22.5{]}   &   8277         \\\\\n",
       "\t (22.5,27.5{]}   &   6764         \\\\\n",
       "\t (27.5,32.5{]}   &   5601         \\\\\n",
       "\t (32.5,37.5{]}   &   4647         \\\\\n",
       "\t (37.5,42.5{]}   &   4027         \\\\\n",
       "\t (42.5,47.5{]}   &   3553         \\\\\n",
       "\t (47.5,52.5{]}   &   3059         \\\\\n",
       "\t (52.5,57.5{]}   &   2770         \\\\\n",
       "\t (57.5,62.5{]}   &   1059         \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "cut_width(dep_delay, 5) | n | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| [-47.5,-42.5] |      1        | \n",
       "| (-37.5,-32.5] |      1        | \n",
       "| (-32.5,-27.5] |      2        | \n",
       "| (-27.5,-22.5] |     14        | \n",
       "| (-22.5,-17.5] |    160        | \n",
       "| (-17.5,-12.5] |   2079        | \n",
       "| (-12.5,-7.5]  |  29878        | \n",
       "| (-7.5,-2.5]   | 111111        | \n",
       "| (-2.5,2.5]    |  71126        | \n",
       "| (2.5,7.5]     |  22013        | \n",
       "| (7.5,12.5]    |  14552        | \n",
       "| (12.5,17.5]   |  10768        | \n",
       "| (17.5,22.5]   |   8277        | \n",
       "| (22.5,27.5]   |   6764        | \n",
       "| (27.5,32.5]   |   5601        | \n",
       "| (32.5,37.5]   |   4647        | \n",
       "| (37.5,42.5]   |   4027        | \n",
       "| (42.5,47.5]   |   3553        | \n",
       "| (47.5,52.5]   |   3059        | \n",
       "| (52.5,57.5]   |   2770        | \n",
       "| (57.5,62.5]   |   1059        | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "   cut_width(dep_delay, 5) n     \n",
       "1  [-47.5,-42.5]                1\n",
       "2  (-37.5,-32.5]                1\n",
       "3  (-32.5,-27.5]                2\n",
       "4  (-27.5,-22.5]               14\n",
       "5  (-22.5,-17.5]              160\n",
       "6  (-17.5,-12.5]             2079\n",
       "7  (-12.5,-7.5]             29878\n",
       "8  (-7.5,-2.5]             111111\n",
       "9  (-2.5,2.5]               71126\n",
       "10 (2.5,7.5]                22013\n",
       "11 (7.5,12.5]               14552\n",
       "12 (12.5,17.5]              10768\n",
       "13 (17.5,22.5]               8277\n",
       "14 (22.5,27.5]               6764\n",
       "15 (27.5,32.5]               5601\n",
       "16 (32.5,37.5]               4647\n",
       "17 (37.5,42.5]               4027\n",
       "18 (42.5,47.5]               3553\n",
       "19 (47.5,52.5]               3059\n",
       "20 (52.5,57.5]               2770\n",
       "21 (57.5,62.5]               1059"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona %>%\n",
    "    filter(dep_delay < 60) %>%\n",
    "    count(cut_width(dep_delay, 5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The appearance of a histogram does depend on your choice of the bin width. It is a good idea to try several values to see if different choices reveal different patterns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DQ0Na6fZ96vy8efNk06ZNodWjRo2SMWPGhJb9NFNSUuKn4iZdVvtY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\nQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona %>%\n",
    "    filter(dep_delay < 60) %>%\n",
    "    ggplot() +\n",
    "        geom_histogram(mapping = aes(x = dep_delay), binwidth = 1) # we choose an even smaller bin width now"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us bring in the categorical variable **carrier** and map the color aesthetic to it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nmxb98+fPjhh9i/fz/OPPNM9OnTJ2y73gsMoPUWZv4UoIAS8PisKE4Gvl3VGzt2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nwS+aRnwEPvt5WBcU9YHZunL3d77CSb6S64/f70dpqbpnJ3mX3rT5o/9e37TwJN6Z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\nLyDxpvW6SETiFmt3D3z/eHuRlv71192I5Omrlc40YWltYfeyA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miTuvD0Zu7/OVKuomtroeuD2Yb2tylCLQtyFuUgwl3Xvyg3U25VZ9qV\nQKxMkdU0yesgXT8qWqr41qF8jl9+204EyIbL9lTL4+KuOKqYEMbNxCyGVRHnXg4+jPP0NvbJ\nyA4QTHHgYSWPqzt3c+70aGeZJMPmdTylSK+3qRPTFzUj2VmGcLu6H1zz+LXAF0PnU0sQ7WLy\nFMoFV66Dn3XNblTXWRFVgwlg+nDdlepa54zMpb5wPjFMv9vE6+VJPLl+IUNc0epPueb8Z4mf\nA9t3zpTbXn8Qy2v4UkldmBkYhbhLg3xBIf3Pkm6hKw/Oh4/uTzkRbQh7drHP6kuN0IsXQHe8\nIVdELtNGjPesC7adO0bordu3wKwtvPyJmzs9g8cWxb01O9ph6eoecVyGGdcyJyjG7YgT6w2N\nwFuAwB//+MdDnvVb3/oWxHQoEZZrMZ0I0QT6RKCsz6EROIEIGB0HYBkaHHHGNGMA76CRzc7M\ndoZwhqZEFV8YUe6q/eUIDb2MAzu/LPXzKj5MZnTdiDLHulGdjQG82H0xWYqqxT4wwBVF5orr\nrUc9voTbpaqOQdkCzHT3c+vT+IX1Gan7tnkL5oD+JkUi8hAamQT+aFFlGoxGEmiSH2s9lruv\nkiVLrY3o5VppYA2c7iaps1oLxEgq3oLZ25pT2F9VidDwK0in1YvPWbgIRiyOXa/fJlsUb7gE\nW/7qeiTttF4qPkvoGB/ZtYapxIOMDa1wTNHKaliVP2+uK0ZqI6/jEGKBqFSZRj1fZ1rQt7hN\nTrlyo5fDFgMhDvLzPbNI7opXD+HpWa/CT0Ld8Bela1mzFYNzuzD9yfko36lIYdt716GGL2Ke\nHh+MrF90XcUQHKURzMymjufHAboGkXjWDsHGRDNCBkm8xfeH2jWb5LaY7SPxdvJ9rm/DbKkz\nHAksOKWFOrqg5Ag7yb8g2bNIssUkJCL8Obh/zdmvyW0x46shYhw8aVYJ+zit4HxBaSlLoS1a\nhu1tjVK3rGwX2hqG8OyLS9DeyZcJyh2r1qPavVOui5nJeoKuNEPuWbjGNztKlBb12mGGFBTu\nRVlJ8E8tEFyQ25RL02ByHaZg9/zXj/J6Qb4z9J3O+NSLC2P/IR6KoPjOlF9oeC5lyVbnFL7c\nGYb9EuH78kL/0cQZZyJTUZlXHXJF+m8To7ywTu2/nUdDr2gEDodA4S/9cCX1fo2ARmBSIJAw\ne+G0hEgm1adz0WgrH9gvM4Zw4xOL4GtV1r7ozfyUrbj0CelXMt6BhmQdNjJ6cxf/CZmdPItz\nGzz8pxJEM7EGXTHczCg4j/+EOKQzgLK4SsURzlzC9YMW62r7HFzASUgnuywItNe/Uk5SmeUQ\nDtd0RhopWBTlvhM0YwZtrOj3YPem+5CItcqz2k/7qxFjNUs5kM4VcdP1gT4vpG1CnIyRHMbp\nqlz2WlqH+SrhvBHOIWW9FCWTVQMwbN0wkopkZwwOLrT8UOwR1UjJmDGSvw50nLGb0UGyj4Zi\np+JcwSNYDvNq9jssmL92GewRXgfKlg88wRchA/ZsqvIgBxoG6EJB2sj7kOyX0sXrk+SmlS95\nwm1DiIUuG6VcLTltj9wWJffLNdEzMdHDhwsG+YAZceRD8KEsQlLN0Hy0LrOzslwJQ+e5WV/T\nzA65nZTHG6iv65WTUIpII8L6vHjBHpwyq0WWez1AhyBLHL/9/Tn0z7fAyvZec/k69DJayZPr\nT5Vlls/bhWsq97ICK1+C2BFKhgQ94Twg13OzwOBqOFIFH2uT18ACvtgmeF05gFZI1NHNd8zc\nW5I6MskXIEeqnNdQXH8lglRbGL7LyiknQmd79mm+LbPflAyTzhhp9tTLrxwk11LCA0xIo9qo\nFGqemlaN9GLVH6ERlyC5kttFlnHY+LtCf1MtGoGTHQFNoE/2O0D3f8ohMGQeQDKwjrYqRUBE\nBwdL1EM3PG1QZsATuswxkiNx7LEJrYQMSbeJwwNfxkuyiuvNlXyoe/HvuEdVScJbkdyJ7UY7\nvmj7H6m70TwTN+Hcoz5lOhNBEy3cbdZebOZZhTREluOs1Gxsiv0RrQnlXtA045Po9zjQOP8b\n+XNksq4iecUEWHGk4rhhTxUGen6Pjn3fli1yrPxXbJw7DaZMoqJIqIUW+6jdj7hP2HKzQu8Y\nCxPPlPSQ4FES3jpao88mUR2ELa6s0qmy79JZtwORuqHsQbxHGLTOdAax6dYnpc6kq4GgYKH6\nfuy+5hWpiwY8ctl5+h50r1DUNukmaaM2OKOPZFy9yB2wG2gLlWDuQ6fL8v0LW7GZbiaVG2eg\n7gX1gtN81avYwvM3/W4ZvG10RaH0vX8tahna0DHsltspkteULw4vybglSwKTtFxnGDEEtE7n\nvmgIC7f4DhPq9dMPWz3qSps6mJjFQPCAIqfWkijqaRk3+GUmlSX6VlrJa3n9SzlgEmKiiFB9\nLrLJqy9bJ7dzs0D5MK66ROlEHOwtdG3Zd6AO+9tqZJEVK7eitHqY/toBBuxQOLyz4kWUxQrX\nJs6ERr7oDA5mLHwSagtsR3WIPuwSbXW2oCuI8lA9Nwp/17ZkGQc8Zq3W3JNidlGb6SFhJhYc\nACwkQjLuMdnfYWV1F7qEjdkfoVxkxLZwSRG/F7b2bk6/FypqxP1kwPUHtS2VnJkcnJm47MqC\ntToaRYYEe4TFm0RduqQU+afmjs8v+Vtg6SbxdzqRprsSQvyKQp1ZTeyo06IRmOgIaAI90a+Q\nbp9G4CgRsNQswvMzwgjSj7Wzu0Ie/XCdeGBvQM/ygjUsk1KEa3T1Fro0uDynSHUu9vPoMse0\nzWe6kFr+m4XZct1uigc5MKQ+5vOprQqJh3eKn9qFiLBlxypepn0eTu7A73CvrOI649OYmZyN\nUGgz2kiihbxt8BYSDKbcZrIZBkiTuqh/ulxO9FlNMILr91SiZfe/cEDietncOSt+haCnHi27\n/jHrP23F1ss/xRcnD4anL5Zl/CEmODGjjELBz/+Kl9Ky+c/IOC8m4PECRTMeIRHbLT4SSMlk\nGkmstjM+dYwuQMNSl7ZeQpeER5D0COzUi1rG0kB/6Ga0nbdDHSjm2eufyVqbM8LSewTSQTLW\nzptkycNnydIJbxQ73vM8fCSljY8vk7qut21DaHY7nLQ256znKRLhBt463hk9+bNEBffk+Z2n\ndKq6OCeFE6Z8BpdW1vghlunicQWaqnZV0F8/5xctCKewzro4ZSzquChfSH10GWls6JCTqHaI\nriUibEldjbIsC93zVJnxYN5yXVY6jPc3bISdLwNmNgZ4L1O8t5X3I8rrFM9GI3EFhlDl70aE\nvle5QZG1JN8lWWIu6g7bTdQPzBvx9anLvw81w/RzFw3OSl/pLvg4eDIn6UwKpdH5hCZ7M3BH\nzD6AknhdrohcmgZJb5oBIh/9bV6fNhgBJaOs3TmlCBeYYRr7TGn2HOLv2iDxvvzttISrrzyO\nh38Je6v6ShLlgeIWs4j7x8KL7Sgi0Lz+0Xe8B+b8hbnq9VIjMCEQ0AR6QlwG3QiNwNghIB6G\nEVrjQr4UH75qYJ7TfCdCTmGpKpBRa2wBRGjd7VffLk9up5vHIj7PPN4FmLXoP6SOX8GVz4Pc\nOr5ZPR+8Qq7HDZyUeDP0ZU214Tb73YjyQSya97us73O2yDEvHNlQd6vo4iAmIf38MN7GZZPz\nNLgtynJXSQJCgyp+2PO39Pftk+UWn/p7unP48glY/CXLpb6s6jKUlp8r16208k5EofMDKhJW\nxlHeTAItrJAWvHPbNAzG6du79xuyyVWVV8GYcSX6Qi/R7/pVqetZdiOGymj9KxILLoXpUGRT\nqDN80RAcz7Ao8ix1dEfI2N9J4kq3IVORybSLL2q2PxXVxGNSLyEeCGPzbU9JvclBnsKa3bus\nBb1LW6QuY9Sy9UNoP5NuJFmrcUaQUHK/eKmgWXQpILmUS4auG5ylCFiE0UM2OS2oe6URlZtn\nyP3b3/kstnNA4vSn5tFtRFl32y7diDI6Jvv3Kd/mMMl4gH7dwp/akk340kWH6zDJsBhAm/Pf\n7nPyXJIjsi1FYtIKniTJFWLYeC66h4gXwpzsp9GZw/5ym3I5m39TTpeJCy5UX2EEGd/EDkai\nTiY5UuTSw6yNAcbkRmnBatzHNg2I2NNFbjcSNV7jWFwRWCvJ/Bwfk/GQjOcS2Az5othb1YMI\nMci7lgSCxCGIwWyyGg5hxHLvejiy/uqioYPEYfpAI8m4uEpKOEwS/vCs3KZcpq1RfskoEOik\nEWFISQ8ZONsa4x8WRfp906XM9tMfy20xE24q9iI3FWUFt6qBqDH+FhSJ/eH/Bhaov2GjrweW\n1v10jxHXNPtSEOW9R4Ke8Res6kY0xqyTs2DW1cuajFAIti0bpLVcjkgWWr5gCyt/ajFfxMQo\n5azOrKmFOX262ib5t+7eRZcYXsxcGe4RVvfUkqLjVGk9P4kQ0AT6JLrYuqtTEwHnbx+Cdd++\nfOd6S0mcyO1EzF0xCVkcDeMJ4140/uU/UdqxTep2v70cKX7CjlQ0ym03P23P384HpzWCobQi\nTZ50gPsKlipZ8AhmlmxCi5nOU3GN9Q55hCfigyfahw4SpBCjEwjxF2WTk4oxnJkcMuZMDyMh\nLF9Zy2iOEM11nQsxCTHEQCwuF7svZTQJhRddZ+lCWoG6mR+XZUrJQ0UwjISFZInxsoWIPHeC\nzlitXpJtRaaL3WZkoQkyIxVkqOQk7CHx+kBu6xtCNeMoWzt3wdJBKzNlRtkV2MHrnUh00RKq\nCEysbDoiprgHlLjjVhIfUh2r6LmSEhJIQUSl7TnLQRxDTiRc78sVkUur8x0EsTWvy2TOofX2\nWTIRnit7XMaykkT7MUm0cwUzRiVJXC92vut5qTJJzgSli1WG0PJXW3LFDlq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oMI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\n1RUCQkAICAEhIASEgBDoXQL/B2tFEAwNn6spAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona %>%\n",
    "    filter(dep_delay < 60) %>%\n",
    "        ggplot() +\n",
    "            geom_histogram(mapping = aes(x = dep_delay, color = carrier), binwidth = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Oops! The legend is a bit crowded. Let us see who the major carriers are by number of flights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xFA6wlHakN1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\nAQQQQACBchD4/4h41hyjFWI7AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona %>%\n",
    "    ggplot() +\n",
    "        geom_bar(mapping = aes(x = carrier))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visually, we see that the top 5 carriers by flight count are AA, B6, DL, EV and UA. But let us compute this using pipes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'AA'</li>\n",
       "\t<li>'B6'</li>\n",
       "\t<li>'DL'</li>\n",
       "\t<li>'EV'</li>\n",
       "\t<li>'UA'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'AA'\n",
       "\\item 'B6'\n",
       "\\item 'DL'\n",
       "\\item 'EV'\n",
       "\\item 'UA'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'AA'\n",
       "2. 'B6'\n",
       "3. 'DL'\n",
       "4. 'EV'\n",
       "5. 'UA'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"AA\" \"B6\" \"DL\" \"EV\" \"UA\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(top5 <- flights_nona %>%\n",
    "    group_by(carrier) %>%\n",
    "    summarize(count = n()) %>%\n",
    "    top_n(5, count) %>% # new function -- returns top 5 carriers but not sorted by count\n",
    "    .[[\"carrier\"]]) # new syntax -- extracts a column as an R vector"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can additionally filter out rows that do not belong to the top 5 carriers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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v+mdwTUnt9ly5bJ2LFjJfmuf7W1taLjn++8804zC4b2AuuFflrWrVvXQet///tf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\nBISAEBACQkAICAEhkCDw/wMU7VfuxEqm9AAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona %>%\n",
    "    filter(dep_delay < 60, carrier %in% top5) %>%\n",
    "    ggplot() +\n",
    "        geom_histogram(mapping = aes(x = dep_delay, color = carrier), binwidth = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hmmm... May be not a good idea to stick with histograms here. Let us use a new geometry **freqpoly** which is like histogram but shows lines. Overlapping lines are easier to see than overlapping bars."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ziUXa/pCqJ24gkEQAAEQAAEqkQAArpKoHEaELAjgZQFWgS0ZYFOhbCbfQKhxWo6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tz4jkuiIHdAJtsxVCbamFPM0Os0oXrkwl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\nSIAESIAESIAESIAEopjA/wOd9UagxSBHHAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights_nona %>%\n",
    "    filter(dep_delay < 60, carrier %in% top5) %>%\n",
    "    ggplot() +\n",
    "        geom_freqpoly(mapping = aes(x = dep_delay, color = carrier), binwidth = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is a bit hard to understand the above plot since UA has much more traffic than AA making a comparison of their plot shapes difficult."
   ]
  }
 ],
 "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": "3.4.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}