analysis/time-of-day-trends.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Divvy usage by time-of-day\n",
    "\n",
    "**authors:** Peter Carbonetto, Gao Wang\n",
    "\n",
    "Here we use the Divvy trip data to examine biking trends over the course of a typical day in Chicago.\n",
    "\n",
    "We begin by loading a few packages, as well as some additional R functions implemented for this project. The `repr` package is used to adjust the dimensions of the figures in the Jupyter notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "library(repr)\n",
    "library(data.table)\n",
    "library(ggplot2)\n",
    "source(\"../code/functions.R\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Read the data\n",
    "\n",
    "Following [our earlier steps](first-glance.html), we use function `read.divvy.data` to read the trip and station data from the CSV files."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reading station data from ../data/Divvy_Stations_2016_Q4.csv.\n",
      "Reading trip data from ../data/Divvy_Trips_2016_Q1.csv.\n",
      "Reading trip data from ../data/Divvy_Trips_2016_04.csv.\n",
      "Reading trip data from ../data/Divvy_Trips_2016_05.csv.\n",
      "Reading trip data from ../data/Divvy_Trips_2016_06.csv.\n",
      "Reading trip data from ../data/Divvy_Trips_2016_Q3.csv.\n",
      "Reading trip data from ../data/Divvy_Trips_2016_Q4.csv.\n",
      "Preparing Divvy data for analysis in R.\n",
      "Converting dates and times.\n"
     ]
    }
   ],
   "source": [
    "divvy <- read.divvy.data()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To make it easier to compile statistics by time of day, we convert the \"start hour\" column to a factor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "divvy$trips <- transform(divvy$trips,start.hour = factor(start.hour,0:23))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Count departures by time-of-day\n",
    "\n",
    "Now that `start.hour` is a factor, it is easy to create a bar chart showing the total number of departures at each hour. Unsurprisingly, we see very little biking activity at night. Further, the two peaks (\"modes\") in the bar chart nicely recapitulate the morning and afternoon rush hours."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IAAAgggEBaBwJ2Rw1JwyoEAAggggAACCKQSyKpGJ9XKmY8AAqVTgBtnls7jyl4h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\nCGQl8L8aYSevfs50rwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width = 4.75, repr.plot.height = 2.25)\n",
    "ggplot(divvy$trips,aes(start.hour)) +\n",
    "  geom_bar(fill = \"dodgerblue\",width = 0.6) +\n",
    "  theme_minimal() +\n",
    "  theme(panel.grid.major = element_blank(),\n",
    "        panel.grid.minor = element_blank())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, this bar chart is a bit muddled because it is counting trips during the week and on the weekends. Consider that the bin count $x[h]$ for hour $h$ in the histogram above is a sum of the counts for each day of the week:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "x[h]\n",
    "& = \\sum_{i\\;\\in\\;\\mathsf{DaysOfTheWeek}} x_i[h] \\\\\n",
    "& = x_{\\mathsf{Mon}}[h] + x_{\\mathsf{Tue}}[h] + x_{\\mathsf{Wed}}[h] +\n",
    "x_{\\mathsf{Thu}}[h] + x_{\\mathsf{Fri}}[h] + x_{\\mathsf{Sat}}[h] +\n",
    "x_{\\mathsf{Sun}}[h]\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "*Note:* The math above is embedded in the webpage using [MathJax](https://github.com/mathjax/MathJax). See [here](https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference) for an excellent reference on MathJax.\n",
    "\n",
    "Once we plot the counts separately for each the day of the week, the\n",
    "rush-hour trends become more obvious. (Also notice that the rush-hour\n",
    "weeks disappear on Saturday and Sunday.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9K4LL98bx1eEUAAAQQQQACBIAKhCLBGjhzpuut69uzpAqlly5aZfvRsKqUOHTq4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\nQAAC+UHg/wADgp95RgtA/AAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width = 5, repr.plot.height = 5)\n",
    "ggplot(divvy$trips,aes(start.hour)) +\n",
    "  geom_bar(fill = \"dodgerblue\",width = 0.75) +\n",
    "  facet_wrap(~start.day,ncol = 2) +\n",
    "  scale_x_discrete(breaks = seq(0,24,2)) +\n",
    "  theme_minimal() +\n",
    "  theme(panel.grid.major = element_blank(),\n",
    "        panel.grid.minor = element_blank())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time-of-day trends at University of Chicago\n",
    "\n",
    "The commuting trends are different at the University of Chicago Divvy station---there isn't much of a morning rush hour. This may be because students and staff don't regularly use the Divvy bikes for commuting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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u9WgACrWx4yEUAAAQQQQOBEBAZq4JpUbbBO5AKzLgIIIIAAAgggECsBAqxYSbMf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G6YYJcdOmTVJXVyeVlZUSHR3t1hXu0YaJ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\nIAGnEKCA5ZSV4jhJgARIgARIgAQcQ+C//KjmoMHObcoAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width = 5, repr.plot.height = 5)\n",
    "ggplot(subset(divvy$trips,from_station_name == \"University Ave & 57th St\"),\n",
    "       aes(start.hour)) +\n",
    "  geom_bar(fill = \"dodgerblue\",width = 0.75) +\n",
    "  facet_wrap(~start.day,ncol = 2) +\n",
    "  scale_x_discrete(breaks = seq(0,24,2)) +\n",
    "  theme_minimal() +\n",
    "  theme(panel.grid.major = element_blank(),\n",
    "        panel.grid.minor = element_blank())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Session information\n",
    "\n",
    "This is the version of Jupyter used to generate these results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'4.3.0'"
      ],
      "text/latex": [
       "'4.3.0'"
      ],
      "text/markdown": [
       "'4.3.0'"
      ],
      "text/plain": [
       "[1] \"4.3.0\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system(\"jupyter --version\",intern = TRUE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is the version of R and the packages that were used to generate these results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "R version 3.3.2 (2016-10-31)\n",
       "Platform: x86_64-apple-darwin13.4.0 (64-bit)\n",
       "Running under: macOS Sierra 10.12.5\n",
       "\n",
       "locale:\n",
       "[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8\n",
       "\n",
       "attached base packages:\n",
       "[1] stats     graphics  grDevices utils     datasets  methods   base     \n",
       "\n",
       "other attached packages:\n",
       "[1] ggplot2_2.2.1     data.table_1.10.4 repr_0.12.0      \n",
       "\n",
       "loaded via a namespace (and not attached):\n",
       " [1] Rcpp_0.12.11     assertthat_0.2.0 digest_0.6.12    crayon_1.3.2    \n",
       " [5] IRdisplay_0.4.4  plyr_1.8.4       grid_3.3.2       R6_2.2.0        \n",
       " [9] jsonlite_1.5     gtable_0.2.0     magrittr_1.5     scales_0.4.1    \n",
       "[13] evaluate_0.10.1  stringi_1.1.2    lazyeval_0.2.0   uuid_0.1-2      \n",
       "[17] IRkernel_0.7     labeling_0.3     tools_3.3.2      stringr_1.2.0   \n",
       "[21] munsell_0.4.3    colorspace_1.3-2 pbdZMQ_0.2-5     tibble_1.2      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sessionInfo()"
   ]
  }
 ],
 "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": "3.3.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}