library(tidyverse)
## Warning: package 'tidyverse' was built under R version 4.4.3
## Warning: package 'ggplot2' was built under R version 4.4.3
## Warning: package 'dplyr' was built under R version 4.4.3
library(openintro)
## Warning: package 'openintro' was built under R version 4.4.3

##Introduction

In this vignette, we will use lubridate package from the Tidyverse to parse and manipulate data that uses date and time. The data we will use is flights dataset in nycflights13 package. We will calculate departure delays and visualize the results.

###Load Data and Perform Analysis

First, lets install and load the necessary libraries.

Let’s load the flight dataset and get a glimpse of the dataset.

## Rows: 336,776
## Columns: 19
## $ year           <int> 2013, 2013, 2013, 2013, 2013, 2013, 2013, 2013, 2013, 2…
## $ month          <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
## $ day            <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
## $ dep_time       <int> 517, 533, 542, 544, 554, 554, 555, 557, 557, 558, 558, …
## $ sched_dep_time <int> 515, 529, 540, 545, 600, 558, 600, 600, 600, 600, 600, …
## $ dep_delay      <dbl> 2, 4, 2, -1, -6, -4, -5, -3, -3, -2, -2, -2, -2, -2, -1…
## $ arr_time       <int> 830, 850, 923, 1004, 812, 740, 913, 709, 838, 753, 849,…
## $ sched_arr_time <int> 819, 830, 850, 1022, 837, 728, 854, 723, 846, 745, 851,…
## $ arr_delay      <dbl> 11, 20, 33, -18, -25, 12, 19, -14, -8, 8, -2, -3, 7, -1…
## $ carrier        <chr> "UA", "UA", "AA", "B6", "DL", "UA", "B6", "EV", "B6", "…
## $ flight         <int> 1545, 1714, 1141, 725, 461, 1696, 507, 5708, 79, 301, 4…
## $ tailnum        <chr> "N14228", "N24211", "N619AA", "N804JB", "N668DN", "N394…
## $ origin         <chr> "EWR", "LGA", "JFK", "JFK", "LGA", "EWR", "EWR", "LGA",…
## $ dest           <chr> "IAH", "IAH", "MIA", "BQN", "ATL", "ORD", "FLL", "IAD",…
## $ air_time       <dbl> 227, 227, 160, 183, 116, 150, 158, 53, 140, 138, 149, 1…
## $ distance       <dbl> 1400, 1416, 1089, 1576, 762, 719, 1065, 229, 944, 733, …
## $ hour           <dbl> 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6…
## $ minute         <dbl> 15, 29, 40, 45, 0, 58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59, 0…
## $ time_hour      <dttm> 2013-01-01 05:00:00, 2013-01-01 05:00:00, 2013-01-01 0…

After the glimpse of the dataset, we will use functions in the lubridate package to convert date and time columns into proper datetime objects.

Step 1: Preprocess Arrival Times

With this, The date is combined into one column and the times are combined into one column for easier readability and analysis.

## Rows: 336,776
## Columns: 23
## $ year                  <int> 2013, 2013, 2013, 2013, 2013, 2013, 2013, 2013, …
## $ month                 <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, …
## $ day                   <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, …
## $ dep_time              <int> 517, 533, 542, 544, 554, 554, 555, 557, 557, 558…
## $ sched_dep_time        <int> 515, 529, 540, 545, 600, 558, 600, 600, 600, 600…
## $ dep_delay             <dbl> 2, 4, 2, -1, -6, -4, -5, -3, -3, -2, -2, -2, -2,…
## $ arr_time              <chr> "0830", "0850", "0923", "1004", "0812", "0740", …
## $ sched_arr_time        <chr> "0819", "0830", "0850", "1022", "0837", "0728", …
## $ arr_delay             <dbl> 11, 20, 33, -18, -25, 12, 19, -14, -8, 8, -2, -3…
## $ carrier               <chr> "UA", "UA", "AA", "B6", "DL", "UA", "B6", "EV", …
## $ flight                <int> 1545, 1714, 1141, 725, 461, 1696, 507, 5708, 79,…
## $ tailnum               <chr> "N14228", "N24211", "N619AA", "N804JB", "N668DN"…
## $ origin                <chr> "EWR", "LGA", "JFK", "JFK", "LGA", "EWR", "EWR",…
## $ dest                  <chr> "IAH", "IAH", "MIA", "BQN", "ATL", "ORD", "FLL",…
## $ air_time              <dbl> 227, 227, 160, 183, 116, 150, 158, 53, 140, 138,…
## $ distance              <dbl> 1400, 1416, 1089, 1576, 762, 719, 1065, 229, 944…
## $ hour                  <dbl> 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, …
## $ minute                <dbl> 15, 29, 40, 45, 0, 58, 0, 0, 0, 0, 0, 0, 0, 0, 0…
## $ time_hour             <dttm> 2013-01-01 05:00:00, 2013-01-01 05:00:00, 2013-…
## $ flight_date           <date> 2013-01-01, 2013-01-01, 2013-01-01, 2013-01-01,…
## $ actual_arrival_time   <time> 08:30:00, 08:50:00, 09:23:00, 10:04:00, 08:12:0…
## $ sched_arrival_time    <time> 08:19:00, 08:30:00, 08:50:00, 10:22:00, 08:37:0…
## $ arrival_delay_minutes <dbl> 11, 20, 33, -18, -25, 12, 19, -14, -8, 8, -2, -3…

Next, we will convert the departure delay values into a numeric format for easier analysis. Then we will summarize the average departure delay for each day of the week and create a visualization to present the findings.

We will use wday function from the lubridate package to figure out what day of the week the date of departure fell on.

Analyze Delays by Carrier and Day of the Week

## Explore Delay Distribution by Origin Airport

## # A tibble: 1 × 3
##   na_count nan_count inf_count
##      <int>     <int>     <int>
## 1     8255         0         0
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##  -43.00   -5.00   -2.00   12.64   11.00 1301.00    8255
## # A tibble: 1 × 2
##   below_limit above_limit
##         <int>       <int>
## 1          41       13346

##  [1]  5  6  7  8 18  9 10 11 12 13 14 15 16 17 19 20 21 22 23  1

Investigate Hourly Delay Patterns

To compare departure and arrival delays

## # A tibble: 673,552 × 3
##    day_of_week delay_type              delay_minutes
##    <ord>       <chr>                           <dbl>
##  1 Tue         departure_delay_minutes             2
##  2 Tue         arrival_delay_minutes              11
##  3 Tue         departure_delay_minutes             4
##  4 Tue         arrival_delay_minutes              20
##  5 Tue         departure_delay_minutes             2
##  6 Tue         arrival_delay_minutes              33
##  7 Tue         departure_delay_minutes            -1
##  8 Tue         arrival_delay_minutes             -18
##  9 Tue         departure_delay_minutes            -6
## 10 Tue         arrival_delay_minutes             -25
## # ℹ 673,542 more rows

##Conclusion In this analysis, we demonstrated how the Tidyverse, particularly the lubridate, dplyr, and ggplot2 packages, can be used to efficiently manipulate, clean, and visualize flight delay data. By transforming raw date and time information into structured formats, we were able to explore patterns in both departure and arrival delays across different days of the week, airports, and hours of the day. Using visualizations like bar charts, boxplots, and line graphs, we uncovered meaningful trends — for example, average delays fluctuating by weekday and departure hour.

This workflow highlights the power of tidy data principles: with a consistent and organized dataset, we can gain valuable insights quickly and clearly. The tools and techniques used here can be easily extended to other real-world datasets involving dates, times, and delay analysis.

---
title: "Tanzil_MP tidyverse extend"
author: "Md. Tanzil Ehsan"
date: "04/27/25"
output: openintro::lab_report
---

```{r load-packages, message=FALSE}
library(tidyverse)
library(openintro)
```



```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = FALSE)
```



##Introduction

In this vignette, we will use lubridate package from the Tidyverse to parse and manipulate data that uses date and time. The data we will use is flights dataset in nycflights13 package. We will calculate departure delays and visualize the results. 

###Load Data and Perform Analysis

First, lets install and load the necessary libraries. 

```{r}
if (!requireNamespace("tidyverse", quietly = TRUE)) {install.packages("tidyverse")}
if (!requireNamespace("lubridate", quietly = TRUE)) {install.packages("lubridate")}

# Install nycflights13 if not already installed
if (!requireNamespace("nycflights13", quietly = TRUE)) {
  install.packages("nycflights13")
}
```

```{r}
library(tidyverse)
library(lubridate)
library(nycflights13)
library(dplyr)
library(lubridate)
library(stringr)
```

Let's load the flight dataset and get a glimpse of the dataset. 

```{r}
flights <- nycflights13::flights
glimpse(flights)
```

After the glimpse of the dataset, we will use functions in the lubridate package to convert date and time columns into proper datetime objects.


## Step 1: Preprocess Arrival Times

```{r}
flights <- flights %>%
  mutate(
    flight_date = make_date(year, month, day),
    # Pad and clean arr_time and sched_arr_time
    arr_time = str_pad(arr_time, 4, pad = "0"),
    sched_arr_time = str_pad(sched_arr_time, 4, pad = "0"),
    # Replace "2400" with "0000" for valid parsing
    arr_time = if_else(arr_time == "2400", "0000", arr_time),
    sched_arr_time = if_else(sched_arr_time == "2400", "0000", sched_arr_time),
    # Parse to time objects
    actual_arrival_time = parse_time(as.character(arr_time), format = "%H%M"),
    sched_arrival_time = parse_time(as.character(sched_arr_time), format = "%H%M"),
    # Convert arr_delay to numeric (redundant but for consistency)
    arrival_delay_minutes = as.numeric(arr_delay)
  )
```



With this,  The date is combined into one column and the times are combined into one column for easier readability and analysis. 
```{r}
#check the new dataset

glimpse(flights)

```



Next, we will convert the departure delay values into a numeric format for easier analysis. Then we will summarize the average departure delay for each day of the week and create a visualization to present the findings. 

We will use wday function from the lubridate package to figure out what day of the week the date of departure fell on. 

```{r}
#Calculate delay in minutes
flights <- flights %>%
  mutate(departure_delay_minutes = as.numeric(dep_delay))

#Add a day of the week column
flights <- flights %>%
  mutate(day_of_week = wday(flight_date, label = TRUE))
```


## Analyze Delays by Carrier and Day of the Week

```{r}
#Summarize average delay by day of the week 
average_delay <- flights %>%
  group_by(day_of_week) %>%
  summarize(average_delay = mean(departure_delay_minutes, na.rm = TRUE))

#Plot the results
ggplot(average_delay, aes(x = day_of_week, y = average_delay)) +
  geom_bar(stat = "identity",fill ='orange') +
  labs(
    title = "Average Departure Delay by Day of the Week",
    x = "Day of the Week",
    y = "Average Departure Delay (minutes)"
  )

```

```{r}
ggplot(average_delay, aes(x = reorder(day_of_week, average_delay), y = average_delay)) +
  geom_bar(stat = "identity", fill = "skyblue") +
  geom_text(aes(label = round(average_delay, 1)), vjust = -0.5) +
  labs(
    title = "Average Departure Delay by Day of the Week",
    x = "Day of the Week",
    y = "Average Departure Delay (minutes)"
  ) +
  theme_minimal()
```
## Explore Delay Distribution by Origin Airport

```{r}
# Check for non-finite values -finite values
flights %>%
  summarise(
    na_count = sum(is.na(departure_delay_minutes)),
    nan_count = sum(is.nan(departure_delay_minutes)),
    inf_count = sum(is.infinite(departure_delay_minutes))
  )

# Check range of departure_delay_minutes
summary(flights$departure_delay_minutes)

# Count rows outside y-limit
flights %>%
  summarise(
    below_limit = sum(departure_delay_minutes < -20, na.rm = TRUE),
    above_limit = sum(departure_delay_minutes > 100, na.rm = TRUE)
  )
```
```{r}
library(tidyverse)

# Boxplot of departure delays by origin airport, excluding non-finite values
ggplot(flights %>% filter(!is.na(departure_delay_minutes) & is.finite(departure_delay_minutes)), 
       aes(x = origin, y = departure_delay_minutes)) +
  geom_boxplot(fill = "lightgreen", outlier.color = "red") +
  labs(
    title = "Distribution of Departure Delays by Origin Airport",
    subtitle = "Excludes 8,255 flights with missing or invalid delay data",
    x = "Origin Airport",
    y = "Departure Delay (minutes)"
  ) +
  theme_minimal() +
  coord_cartesian(ylim = c(-20, 100)) # Limit y-axis to focus on typical delays
```


```{r}
# Check unique hour values in flights
unique(flights$hour)
```
## Investigate Hourly Delay Patterns
```{r}

# Clean the hour column in flights
flights <- flights %>%
  mutate(hour = if_else(hour == 24, 0, hour))

# Summarize average departure delay by hour
hourly_delay <- flights %>%
  group_by(hour) %>%
  summarise(
    avg_dep_delay = mean(departure_delay_minutes, na.rm = TRUE),
    n_flights = n(),
    .groups = "drop"
  ) %>%
  # Remove any rows with NA or invalid values
  filter(!is.na(hour) & !is.na(avg_dep_delay) & is.finite(avg_dep_delay))

# Line plot of average delay by hour
ggplot(hourly_delay, aes(x = hour, y = avg_dep_delay)) +
  geom_line(color = "blue") +
  geom_point(color = "blue") +
  labs(
    title = "Average Departure Delay by Scheduled Departure Hour",
    x = "Hour of Day",
    y = "Average Departure Delay (minutes)"
  ) +
  theme_minimal()
```

## To compare departure and arrival delays
```{r}
# Pivot departure and arrival delays into a long format
delay_types <- flights %>%
  select(day_of_week, departure_delay_minutes, arrival_delay_minutes ) %>%
  pivot_longer(
    cols = c(departure_delay_minutes, arrival_delay_minutes ),
    names_to = "delay_type",
    values_to = "delay_minutes"
  )

# Summarize average delays by day of the week and delay type
delay_types_summary <- delay_types %>%
  group_by(day_of_week, delay_type) %>%
  summarise(
    avg_delay = mean(delay_minutes, na.rm = TRUE),
    .groups = "drop"
  )
```

```{r}
delay_types 

```

```{r}
# Grouped bar plot for departure vs. arrival delays
ggplot(delay_types_summary, aes(x = day_of_week, y = avg_delay, fill = delay_type)) +
  geom_bar(stat = "identity", position = "dodge") +
  labs(
    title = "Average Departure vs. Arrival Delays by Day of the Week",
    x = "Day of the Week",
    y = "Average Delay (minutes)",
    fill = "Delay Type"
  ) +
  scale_fill_manual(values = c("departure_delay_minutes" = "orange", "arrival_delay_minutes" = "purple")) +
  theme_minimal()
```


##Conclusion In this analysis, we demonstrated how the Tidyverse, particularly the lubridate, dplyr, and ggplot2 packages, can be used to efficiently manipulate, clean, and visualize flight delay data.
By transforming raw date and time information into structured formats, we were able to explore patterns in both departure and arrival delays across different days of the week, airports, and hours of the day.
Using visualizations like bar charts, boxplots, and line graphs, we uncovered meaningful trends — for example, average delays fluctuating by weekday and departure hour.

This workflow highlights the power of tidy data principles: with a consistent and organized dataset, we can gain valuable insights quickly and clearly.
The tools and techniques used here can be easily extended to other real-world datasets involving dates, times, and delay analysis.

