Background

Assignment 5: Tidying and Transforming Data

Following are the goal’s for this assignment:
-Transform data between wide and long formats using tidyr package
-Change shapes of data frames using dplyr package
-Perform data transformations to support downstream data analysis

Acquire Data

In this instance, used the assignment’s PDF document as the data source to create a csv dataset using Excel. This dataset stored on GitHub.

theURL = "https://raw.githubusercontent.com/CUNYSPS-RickRN/Team607-1/master/Wk05_airline_arrival_status.csv"

arrivals_df <- read_csv(theURL, col_names = TRUE)
## Parsed with column specification:
## cols(
##   Airline = col_character(),
##   Status = col_character(),
##   LAX = col_double(),
##   PHX = col_double(),
##   SD = col_double(),
##   SFO = col_double(),
##   SEA = col_double()
## )
arrivals_df
## # A tibble: 5 x 7
##   Airline Status    LAX   PHX    SD   SFO   SEA
##   <chr>   <chr>   <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 Alaska  on time   497   221   212   503  1841
## 2 <NA>    delayed    62    12    20   102   305
## 3 <NA>    <NA>       NA    NA    NA    NA    NA
## 4 AM WEST on time   694  4840   383   320   201
## 5 <NA>    delayed   117   415    65   129    61

Data Transformation

Following three rules makes a dataset tidy: variables are in columns, observations are in rows, and values are in cells.

In this step, 3 steps performed to tidy data: - remove “blank line” by selecting status = on time or delayed - fill missing Airline data from previous row - pivot_longer to create observations of each origination/destination pair

Before and after views of dataset of shown

# Data transformation into tidy data form

arrivals_pivot_df <- arrivals_df %>% 
  subset(Status == ("on time") | Status == ("delayed")) %>% 
  fill(Airline) %>% 
  pivot_longer(c("LAX", "PHX", "SD", "SFO", "SEA"), 
               names_to = "dest", values_to = "numflights")

arrivals_pivot_df
## # A tibble: 20 x 4
##    Airline Status  dest  numflights
##    <chr>   <chr>   <chr>      <dbl>
##  1 Alaska  on time LAX          497
##  2 Alaska  on time PHX          221
##  3 Alaska  on time SD           212
##  4 Alaska  on time SFO          503
##  5 Alaska  on time SEA         1841
##  6 Alaska  delayed LAX           62
##  7 Alaska  delayed PHX           12
##  8 Alaska  delayed SD            20
##  9 Alaska  delayed SFO          102
## 10 Alaska  delayed SEA          305
## 11 AM WEST on time LAX          694
## 12 AM WEST on time PHX         4840
## 13 AM WEST on time SD           383
## 14 AM WEST on time SFO          320
## 15 AM WEST on time SEA          201
## 16 AM WEST delayed LAX          117
## 17 AM WEST delayed PHX          415
## 18 AM WEST delayed SD            65
## 19 AM WEST delayed SFO          129
## 20 AM WEST delayed SEA           61

Analysis by Airport

This analysis compares the per-city on-time performance for both airlines.

The first pair of graphs by airline shows the number of on-time and delayed flights by airport. Different shapes are used to distinguish between on-time and delayed status. AM West Airlines has a high concentration of flights at the Phoenix airport while Alaska Airlines has a high concentration of flights at the Seattle airport.

The third graph shows the proportion of each airline’s on-time and delayed flights by airport. One noticeable observation of the Phoenix airport is AM West Airlines has a substantially higher proportion of on-time flights when compared with Alaska Airlines and when compared with all other airports in the sample. In the Seattle airport Alaska Airlines has a substantially higher proportion of on-time flights when compared with AM West Airlines and when compared with all other airports in the sample.

# 
# plot by Airline dest/status num flights info 
ggplot(data = arrivals_pivot_df) + 
  geom_point(mapping = aes(x = dest, y = numflights, color= Airline, shape = Status)) + 
  facet_wrap(~ Airline)

# create new var prop_totalflights and calc prop of on-time by destination
flight_props2 <- arrivals_pivot_df %>% 
  group_by(dest) %>% 
  #  filter(Status == "on time") %>% 
  mutate(prop_totflights = numflights / sum(numflights))


# Compare per-city on-time performance for both airlines
ggplot(data = flight_props2) + 
  geom_point(mapping = aes(x = dest, y = prop_totflights, color = Airline, shape = Status))

Analysis by Airline

AM West Airlines had a better performance of having approximately 89% of flights on-time while Alaska Airlines had approximately 87% of its flights on-time.

# calculate numerator
flight_props_n <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Status == "on time", Airline == "Alaska") %>% 
  summarize(numflights)
## `summarise()` regrouping output by 'Airline' (override with `.groups` argument)
# calculate denominator
flight_props_d <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Airline == "Alaska") %>% 
  summarize(numflights)
## `summarise()` regrouping output by 'Airline' (override with `.groups` argument)
OT_Alaska <- sum(flight_props_n$numflights) /sum(flight_props_d$numflights)

cat("Alaska Airlines had ", OT_Alaska, " of flights on-time.\n ",
    "Number of on-time flights=",sum(flight_props_n$numflights),
    " out of ",sum(flight_props_d$numflights))
## Alaska Airlines had  0.8672848  of flights on-time.
##   Number of on-time flights= 3274  out of  3775
# Calculate numerator
flight_props_n <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Status == "on time", Airline == "AM WEST") %>% 
  summarize(numflights)
## `summarise()` regrouping output by 'Airline' (override with `.groups` argument)
# Calculate denominator
flight_props_d <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Airline == "AM WEST") %>% 
  summarize(numflights)
## `summarise()` regrouping output by 'Airline' (override with `.groups` argument)
OT_AMWEST <- sum(flight_props_n$numflights) /sum(flight_props_d$numflights)
cat("AM West Airlines had ", OT_AMWEST, " of flights on-time.\n ",
    "Number of on-time flights=",sum(flight_props_n$numflights),
    " out of ",sum(flight_props_d$numflights))
## AM West Airlines had  0.8910727  of flights on-time.
##   Number of on-time flights= 6438  out of  7225

Conclusion

Airlines with hub airports defined as those with high concentration of flights appear to have a higher number of on-time flights. Phoenix airport appears to be a hub for AM West Airlines while Seattle airport appears to be a hub for Alaska Airlines.

AM West Airlines had a better performance of having approximately 89% of flights on-time while Alaska Airlines had approximately 87% of its flights on-time. AM West airlines had more than twice the number of flights than Alaska airlines.

---
title: "D607_template"
author: "RickRN"
date: "`r Sys.Date()`"
output: 
  openintro::lab_report: default
  html_document:
    number_sections: yes
---

# Background
## Assignment 5: Tidying and Transforming Data


<style>
div.blue { background-color:#e6f0ff; border-radius: 5px; padding: 20px;}
</style>
<div class = "blue">

Following are the goal's for this assignment:  
-Transform data between wide and long formats using tidyr package  
-Change shapes of data frames using dplyr package  
-Perform data transformations to support downstream data analysis


</div> \hfill\break


```{r step_setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE)
library(tidyverse)
library(ggplot2)
```

# Acquire Data

<style>
div.blue { background-color:#e6f0ff; border-radius: 5px; padding: 20px;}
</style>
<div class = "blue">

In this instance, used the assignment's PDF document as the data source to create a csv dataset using Excel.  This dataset stored on GitHub.

</div> \hfill\break


```{r step_readcsv, echo=TRUE }
theURL = "https://raw.githubusercontent.com/CUNYSPS-RickRN/Team607-1/master/Wk05_airline_arrival_status.csv"

arrivals_df <- read_csv(theURL, col_names = TRUE)

arrivals_df

```

# Data Transformation 

<style>
div.blue { background-color:#e6f0ff; border-radius: 5px; padding: 20px;}
</style>
<div class = "blue">

Following three rules makes a dataset tidy: variables are in columns, observations are in rows, and values are in cells.

In this step, 3 steps performed to tidy data:
- remove "blank line" by selecting status = on time or delayed
- fill missing Airline data from previous row
- pivot_longer to create observations of each origination/destination pair

Before and after views of dataset of shown

</div> \hfill\break
```{r step_data_transformation, echo=TRUE}
# Data transformation into tidy data form

arrivals_pivot_df <- arrivals_df %>% 
  subset(Status == ("on time") | Status == ("delayed")) %>% 
  fill(Airline) %>% 
  pivot_longer(c("LAX", "PHX", "SD", "SFO", "SEA"), 
               names_to = "dest", values_to = "numflights")

arrivals_pivot_df

```

# Analysis by Airport

<style>
div.blue { background-color:#e6f0ff; border-radius: 5px; padding: 20px;}
</style>
<div class = "blue">

This analysis compares the per-city on-time performance for both airlines.

The first pair of graphs by airline shows the number of on-time and delayed
flights by airport.  Different shapes are used to distinguish between on-time
and delayed status.  AM West Airlines has  a high concentration of flights
at the Phoenix airport while Alaska Airlines has a high concentration of flights
at the Seattle airport.

The third graph shows the proportion of each airline's on-time and delayed flights
by airport.  One noticeable observation of the Phoenix airport is AM West Airlines has a
substantially higher proportion of on-time flights when compared with Alaska Airlines
and when compared with all other airports in the sample.  In the Seattle airport 
Alaska Airlines has a substantially higher proportion of on-time flights when compared
with AM West Airlines and when compared with all other airports in the sample.

</div> \hfill\break


```{r step_analysis_city, echo=TRUE}
# 
# plot by Airline dest/status num flights info 
ggplot(data = arrivals_pivot_df) + 
  geom_point(mapping = aes(x = dest, y = numflights, color= Airline, shape = Status)) + 
  facet_wrap(~ Airline)

# create new var prop_totalflights and calc prop of on-time by destination
flight_props2 <- arrivals_pivot_df %>% 
  group_by(dest) %>% 
  #  filter(Status == "on time") %>% 
  mutate(prop_totflights = numflights / sum(numflights))


# Compare per-city on-time performance for both airlines
ggplot(data = flight_props2) + 
  geom_point(mapping = aes(x = dest, y = prop_totflights, color = Airline, shape = Status))



```

# Analysis by Airline

<style>
div.blue { background-color:#e6f0ff; border-radius: 5px; padding: 20px;}
</style>
<div class = "blue">

AM West Airlines had a better performance of having approximately 89% of flights on-time
while Alaska Airlines had approximately 87% of its flights on-time.

</div> \hfill\break

```{r step_analysis_Airline, echo=TRUE}
# calculate numerator
flight_props_n <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Status == "on time", Airline == "Alaska") %>% 
  summarize(numflights)

# calculate denominator
flight_props_d <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Airline == "Alaska") %>% 
  summarize(numflights)


OT_Alaska <- sum(flight_props_n$numflights) /sum(flight_props_d$numflights)

cat("Alaska Airlines had ", OT_Alaska, " of flights on-time.\n ",
    "Number of on-time flights=",sum(flight_props_n$numflights),
    " out of ",sum(flight_props_d$numflights))

# Calculate numerator
flight_props_n <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Status == "on time", Airline == "AM WEST") %>% 
  summarize(numflights)

# Calculate denominator
flight_props_d <- flight_props2 %>% 
  group_by(Airline) %>% 
  filter(Airline == "AM WEST") %>% 
  summarize(numflights)


OT_AMWEST <- sum(flight_props_n$numflights) /sum(flight_props_d$numflights)
cat("AM West Airlines had ", OT_AMWEST, " of flights on-time.\n ",
    "Number of on-time flights=",sum(flight_props_n$numflights),
    " out of ",sum(flight_props_d$numflights))

```



# Conclusion

<style>
div.blue { background-color:#e6f0ff; border-radius: 5px; padding: 20px;}
</style>
<div class = "blue">

Airlines with hub airports defined as those with high concentration of flights
appear to have a higher number of on-time flights.  Phoenix airport appears 
to be a hub for AM West Airlines while Seattle airport appears to be a hub
for Alaska Airlines.

AM West Airlines had a better performance of having approximately 89% of flights on-time
while Alaska Airlines had approximately 87% of its flights on-time.  AM West
airlines had more than twice the number of flights than Alaska airlines.


</div> \hfill\break
