Transforming data with dplyr

Select the following four columns from the counties variable:

  • state
  • county
  • population
  • poverty

You don’t need to save the result to a variable.

counties %>%
select("state", "county", "population", "poverty")
library(readr)
library(dplyr)
Registered S3 method overwritten by 'dplyr':
  method           from
  print.rowwise_df     

Attaching package: 㤼㸱dplyr㤼㸲

The following objects are masked from 㤼㸱package:stats㤼㸲:

    filter, lag

The following objects are masked from 㤼㸱package:base㤼㸲:

    intersect, setdiff, setequal, union
counties <- read_csv("acs2017_county_data.csv")
Parsed with column specification:
cols(
  .default = col_double(),
  State = col_character(),
  County = col_character()
)
See spec(...) for full column specifications.
glimpse(counties)
Observations: 3,220
Variables: 37
$ CountyId         <dbl> 1001, 1003, 1005, 1007, 1009, 1011, 1013, 1015, 1017, 1019, 1021, 1023, 1025,...
$ State            <chr> "Alabama", "Alabama", "Alabama", "Alabama", "Alabama", "Alabama", "Alabama", ...
$ County           <chr> "Autauga County", "Baldwin County", "Barbour County", "Bibb County", "Blount ...
$ TotalPop         <dbl> 55036, 203360, 26201, 22580, 57667, 10478, 20126, 115527, 33895, 25855, 43805...
$ Men              <dbl> 26899, 99527, 13976, 12251, 28490, 5616, 9416, 55593, 16320, 12862, 21554, 62...
$ Women            <dbl> 28137, 103833, 12225, 10329, 29177, 4862, 10710, 59934, 17575, 12993, 22251, ...
$ Hispanic         <dbl> 2.7, 4.4, 4.2, 2.4, 9.0, 0.3, 0.3, 3.6, 2.2, 1.6, 7.7, 0.5, 0.2, 3.1, 2.4, 6....
$ White            <dbl> 75.4, 83.1, 45.7, 74.6, 87.4, 21.6, 52.2, 72.7, 56.2, 91.8, 80.4, 56.3, 53.0,...
$ Black            <dbl> 18.9, 9.5, 47.8, 22.0, 1.5, 75.6, 44.7, 20.4, 39.3, 5.0, 9.5, 42.1, 45.7, 14....
$ Native           <dbl> 0.3, 0.8, 0.2, 0.4, 0.3, 1.0, 0.1, 0.2, 0.3, 0.5, 0.4, 0.0, 0.1, 0.9, 0.3, 1....
$ Asian            <dbl> 0.9, 0.7, 0.6, 0.0, 0.1, 0.7, 1.1, 1.0, 1.0, 0.1, 0.4, 0.1, 0.5, 0.0, 0.5, 1....
$ Pacific          <dbl> 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.1, 0.0, 0.0, 0....
$ VotingAgeCitizen <dbl> 41016, 155376, 20269, 17662, 42513, 8212, 15459, 88383, 26259, 20620, 31776, ...
$ Income           <dbl> 55317, 52562, 33368, 43404, 47412, 29655, 36326, 43686, 37342, 40041, 43501, ...
$ IncomeErr        <dbl> 2838, 1348, 2551, 3431, 2630, 5376, 2701, 1491, 2011, 2316, 2877, 2797, 2336,...
$ IncomePerCap     <dbl> 27824, 29364, 17561, 20911, 22021, 20856, 19004, 23638, 22002, 23010, 23368, ...
$ IncomePerCapErr  <dbl> 2024, 735, 798, 1889, 850, 2355, 943, 793, 1205, 1354, 1925, 1307, 1203, 1553...
$ Poverty          <dbl> 13.7, 11.8, 27.2, 15.2, 15.6, 28.5, 24.4, 18.6, 18.8, 16.1, 19.4, 22.3, 25.3,...
$ ChildPoverty     <dbl> 20.1, 16.1, 44.9, 26.6, 25.4, 50.4, 34.8, 26.6, 29.1, 20.0, 27.8, 32.8, 30.7,...
$ Professional     <dbl> 35.3, 35.7, 25.0, 24.4, 28.5, 19.7, 26.9, 29.0, 24.3, 28.8, 25.3, 23.6, 21.6,...
$ Service          <dbl> 18.0, 18.2, 16.8, 17.6, 12.9, 17.1, 17.3, 17.5, 13.5, 14.8, 14.5, 15.4, 14.3,...
$ Office           <dbl> 23.2, 25.6, 22.6, 19.7, 23.3, 18.6, 18.5, 23.7, 23.0, 18.1, 23.7, 22.0, 24.8,...
$ Construction     <dbl> 8.1, 9.7, 11.5, 15.9, 15.8, 14.0, 11.6, 10.4, 11.6, 11.9, 15.5, 17.1, 13.7, 1...
$ Production       <dbl> 15.4, 10.8, 24.1, 22.4, 19.5, 30.6, 25.7, 19.4, 27.6, 26.5, 21.0, 21.9, 25.6,...
$ Drive            <dbl> 86.0, 84.7, 83.4, 86.4, 86.8, 73.1, 83.6, 85.0, 87.1, 85.0, 83.2, 81.8, 83.7,...
$ Carpool          <dbl> 9.6, 7.6, 11.1, 9.5, 10.2, 15.7, 12.6, 9.2, 9.7, 12.1, 12.6, 13.7, 11.9, 6.0,...
$ Transit          <dbl> 0.1, 0.1, 0.3, 0.7, 0.1, 0.3, 0.0, 0.2, 0.2, 0.4, 0.1, 0.0, 0.2, 0.0, 0.0, 0....
$ Walk             <dbl> 0.6, 0.8, 2.2, 0.3, 0.4, 6.2, 0.9, 1.3, 0.6, 0.3, 0.6, 1.7, 0.7, 2.8, 0.9, 1....
$ OtherTransp      <dbl> 1.3, 1.1, 1.7, 1.7, 0.4, 1.7, 0.9, 1.1, 0.5, 0.3, 1.8, 1.2, 2.7, 0.6, 0.1, 1....
$ WorkAtHome       <dbl> 2.5, 5.6, 1.3, 1.5, 2.1, 3.0, 2.0, 3.2, 2.0, 2.0, 1.7, 1.6, 0.9, 3.0, 2.7, 2....
$ MeanCommute      <dbl> 25.8, 27.0, 23.4, 30.0, 35.0, 29.8, 23.2, 24.8, 23.6, 26.5, 32.5, 32.7, 23.9,...
$ Employed         <dbl> 24112, 89527, 8878, 8171, 21380, 4290, 7727, 47392, 14527, 9879, 17675, 4301,...
$ PrivateWork      <dbl> 74.1, 80.7, 74.1, 76.0, 83.9, 81.4, 79.1, 74.9, 84.5, 74.8, 81.1, 79.9, 83.1,...
$ PublicWork       <dbl> 20.2, 12.9, 19.1, 17.4, 11.9, 13.6, 15.3, 19.9, 11.8, 17.1, 14.0, 14.8, 11.8,...
$ SelfEmployed     <dbl> 5.6, 6.3, 6.5, 6.3, 4.0, 5.0, 5.3, 5.1, 3.7, 8.1, 4.5, 4.9, 5.1, 7.7, 8.2, 5....
$ FamilyWork       <dbl> 0.1, 0.1, 0.3, 0.3, 0.1, 0.0, 0.3, 0.1, 0.0, 0.0, 0.4, 0.4, 0.0, 0.0, 0.0, 0....
$ Unemployment     <dbl> 5.2, 5.5, 12.4, 8.2, 4.9, 12.1, 7.6, 10.1, 6.4, 5.3, 6.7, 9.8, 15.2, 6.4, 7.8...

Arranging observations

Here you see the counties_selected dataset with a few interesting variables selected. These variables: private_work, public_work, self_employed describe whether people work for the government, for private companies, or for themselves.

counties_selected <- counties %>%
  select(State, County, TotalPop, PrivateWork, PublicWork, SelfEmployed, Walk)

# Add a verb to sort in descending order of public_work
counties_selected %>%
  arrange(desc(PublicWork))

We sorted the counties in descending order according to public_work. What if we were interested in looking at observations in counties that have a large population or within a specific state?

Filtering for conditions

You use the filter() verb to get only observations that match a particular condition, or match multiple conditions.

# Filter for counties with a population above 1000000
counties_selected %>%
  filter(TotalPop > 1000000)
# Filter for counties in the state of California that have a population above 1000000
counties_selected %>%
  filter(State == "California",
  TotalPop > 1000000)

Now you know that there are 9 counties in the state of California with a population greater than one million. In the next exercise, you’ll practice filtering and then sorting a dataset to focus on specific observations!

Filtering and arranging

We’re often interested in both filtering and sorting a dataset, to focus on observations of particular interest to you. Here, you’ll find counties that are extreme examples of what fraction of the population works in the private sector.

# Filter for Texas and more than 10000 people; sort in descending order of private_work
counties_selected %>%
  filter(State == "Texas", TotalPop > 10000) %>%
  arrange(desc(PrivateWork))

Calculating the number of government employees

We can use mutate() to add columns

# Add a new column public_workers with the number of people employed in public work
counties_selected %>%
  mutate(public_workers = PublicWork * TotalPop / 100) %>%
  arrange(desc(public_workers))

it looks like Los Angeles is the county with the most government employees.

Calculating the percentage of women in a county

The dataset includes columns for the total number (not percentage) of men and women in each county. You could use this, along with the population variable, to compute the fraction of men (or women) within each county.

# Select the columns state, county, population, men, and women
counties_selected <- counties %>%
  select(State, County, TotalPop, Men, Women, Walk)

# Calculate proportion_women as the fraction of the population made up of women
counties_selected %>%
  mutate(proportion_women = Women/TotalPop)

Select, mutate, filter, and arrange

We’ll put together everything you’ve learned in this chapter (select(), mutate(), filter() and arrange()), to find the counties with the highest proportion of men.

counties %>%
  # Select the five columns 
  select(State, County, TotalPop, Men, Women) %>%
  # Add the proportion_men variable
  mutate(proportion_men = Men/TotalPop) %>%
  # Filter for population of at least 10,000
  filter(TotalPop >= 10000) %>%
  # Arrange proportion of men in descending order 
  arrange(desc(proportion_men))

Aggregating Data

Count

We can use count to count the number of counties in each state.

# Use count to find the number of counties in each state
counties_selected %>%
  count(State, sort = TRUE)

Or we can add a weight to the count verb:

# Find number of counties per state, weighted by population
counties_selected %>%
  count(State, wt=TotalPop, sort = TRUE)

Mutating and counting

You can combine multiple verbs together to answer increasingly complicated questions of your data. For example: “What are the US states where the most people walk to work?”

You’ll use the walk column, which offers a percentage of people in each county that walk to work, to add a new column and count based on it.

counties_selected <- counties %>%
  select(region, state, population, walk)
  
counties_selected %>%
  # Add population_walk containing the total number of people who walk to work
  mutate(population_walk = Walk * TotalPop/100) %>%
  # Count weighted by the new column
  count(State, wt = population_walk, sort = TRUE)

We can see that while California had the largest total population, New York state has the largest number of people who walk to work.

Summarizing

The summarize() verb is very useful for collapsing a large dataset into a single observation.

counties_selected <- counties %>%
  select(county, population, income, unemployment)
# Summarize to find minimum population, maximum unemployment, and average income
counties %>%
  summarize(min_population = min(TotalPop), max_unemployment = max(Unemployment), average_income = mean(Income))

If we wanted to take this a step further, we could use filter() to determine the specific counties that returned the value for min_population and max_unemployment.

Summarizing by state

We can see for example the percentage of men per state.

counties_selected %>%
  group_by(State) %>%
  summarize(total_men = sum(Men),
            total_population = sum(TotalPop)) %>%
  mutate(percentage_men = total_men / total_population) %>%
  arrange(desc(percentage_men))

top_n

counties_selected %>% 
  group_by(State) %>% 
  top_n(1, TotalPop)
counties_selected <- counties %>%
  select(State, County, Unemployment)

counties_selected %>% 
  group_by(State) %>% 
  top_n(3, Unemployment)

Finding the highest-income state in each county

When you group by multiple columns and then summarize, it’s important to remember that the summarize “peels off” one of the groups, but leaves the rest on. For example, if you group_by(X, Y) then summarize, the result will still be grouped by X.

counties_selected <- counties %>%
  select(State, County, TotalPop, Income)

counties_selected %>%
  group_by(County, State) %>%
   # Calculate average income
  summarize(average_income = mean(Income) ) %>%
  # Find the highest income state in each region
  top_n(1, average_income)

Using summarize, top_n, and count together

Five dplyr verbs related to aggregation: count(), group_by(), summarize(), ungroup(), and top_n(). We’ll use all of them to answer a question: In how many states women population is greater than men?

counties_selected <- counties %>%
  select(State, County, Men, Women)
# Extract the most populated row for each state
counties_selected %>%
  group_by(State, County) %>%
  summarize(women_total = sum(Women),
            men_total = sum(Men),
            women_more_men = women_total > men_total) %>%
  top_n(1, women_total) %>% 
  ungroup() %>% 
  count(women_more_men)

Notice that 44 states have more women than men.

Selecting and Transforming Data

Selecting columns

Using the select verb, we can answer interesting questions about our dataset by focusing in on related groups of verbs. The colon (:) is useful for getting many columns at a time.

counties %>%
  # Select state, county, population, and industry-related columns
  select(State, County, TotalPop, Professional:Production) %>% 
  # Arrange service in descending order 
  arrange(desc(Service))

Select helpers

Below a list of useful helpers: - contains() - starts_with() - ends_with() - last_col()

You can see all typing ?select_helpers.

counties %>%
  # Select the state, county, population, and those ending with "work"
  select(State, County, TotalPop, ends_with("Work")) %>%
  # Filter for counties that have at least 50% of people engaged in public work
  filter(PublicWork >= 50)

It looks like only a few counties have more than half the population working for the government.

Renaming

counties_selected <- counties %>%
select(State, County, TotalPop, Unemployment)

counties_selected %>%
rename(unemployment_rate = Unemployment)

The rename() verb is often useful for changing the name of a column that comes out of another verb, such as count().

# Rename the n column to num_counties
counties %>%
  count(State) %>%
  rename(num_counties = n)

rename() isn’t the only way you can choose a new name for a column: you can also choose a name as part of a select().

# Select state, county, and poverty as poverty_rate
counties %>%
  select(State, County, poverty_rate = Poverty)

Transmute

The transmute verb allows you to control which variables you keep, which variables you calculate, and which variables you drop.

counties %>%
  # Keep the state, county, and populations columns, and add a active column
  transmute(State, County, TotalPop, employment_rate = Employed/TotalPop) %>%
  # Filter for counties with a population greater than one million 
  filter(TotalPop > 1000000) %>%
  # Sort active in ascending order 
  arrange(employment_rate)

Examples using different verbs:

# Change the name of the unemployment column
counties %>%
  rename(unemployment_rate = Unemployment)
# Keep the state and county columns, and the columns containing poverty
counties %>%
  select(State, County, contains("Poverty"))
# Calculate the fraction_women column without dropping the other columns
counties %>%
  mutate(fraction_women = Women / TotalPop)
# Keep only the state, county, and employment_rate columns
counties %>%
  transmute(State, County, employment_rate = Employed / TotalPop)
---
title: "Data Manipulation with dplyr"
output:
  html_notebook:
    toc: true
    toc_float: true
    toc_collapsed: false
    
toc_depth: 3
---
# Transforming data with dplyr
Select the following four columns from the counties variable:

 - state
 - county
 - population
 - poverty

You don't need to save the result to a variable.

    counties %>%
    select("state", "county", "population", "poverty")
    
```{r}
library(readr)
library(dplyr)
counties <- read_csv("acs2017_county_data.csv")
```
```{r}
glimpse(counties)
```

## Arranging observations

Here you see the counties_selected dataset with a few interesting variables selected. These variables: private_work, public_work, self_employed describe whether people work for the government, for private companies, or for themselves.


```{r}
counties_selected <- counties %>%
  select(State, County, TotalPop, PrivateWork, PublicWork, SelfEmployed, Walk)

# Add a verb to sort in descending order of public_work
counties_selected %>%
  arrange(desc(PublicWork))
```
We sorted the counties in descending order according to public_work. What if we were interested in looking at observations in counties that have a large population or within a specific state?

## Filtering for conditions

You use the filter() verb to get only observations that match a particular condition, or match multiple conditions.

```{r}
# Filter for counties with a population above 1000000
counties_selected %>%
  filter(TotalPop > 1000000)
```

```{r}
# Filter for counties in the state of California that have a population above 1000000
counties_selected %>%
  filter(State == "California",
  TotalPop > 1000000)
```
Now you know that there are 9 counties in the state of California with a population greater than one million. In the next exercise, you'll practice filtering and then sorting a dataset to focus on specific observations!

## Filtering and arranging

We're often interested in both filtering and sorting a dataset, to focus on observations of particular interest to you. Here, you'll find counties that are extreme examples of what fraction of the population works in the private sector.
```{r}
# Filter for Texas and more than 10000 people; sort in descending order of private_work
counties_selected %>%
  filter(State == "Texas", TotalPop > 10000) %>%
  arrange(desc(PrivateWork))
```
## Calculating the number of government employees

We can use mutate() to add columns

```{r}
# Add a new column public_workers with the number of people employed in public work
counties_selected %>%
  mutate(public_workers = PublicWork * TotalPop / 100) %>%
  arrange(desc(public_workers))
```
it looks like Los Angeles is the county with the most government employees.

## Calculating the percentage of women in a county

The dataset includes columns for the total number (not percentage) of men and women in each county. You could use this, along with the population variable, to compute the fraction of men (or women) within each county.
```{r}
# Select the columns state, county, population, men, and women
counties_selected <- counties %>%
  select(State, County, TotalPop, Men, Women, Walk)

# Calculate proportion_women as the fraction of the population made up of women
counties_selected %>%
  mutate(proportion_women = Women/TotalPop)
```
## Select, mutate, filter, and arrange

We'll put together everything you've learned in this chapter (select(), mutate(), filter() and arrange()), to find the counties with the highest proportion of men.
```{r}
counties %>%
  # Select the five columns 
  select(State, County, TotalPop, Men, Women) %>%
  # Add the proportion_men variable
  mutate(proportion_men = Men/TotalPop) %>%
  # Filter for population of at least 10,000
  filter(TotalPop >= 10000) %>%
  # Arrange proportion of men in descending order 
  arrange(desc(proportion_men))
```
# Aggregating Data

## Count

We can use count to count the number of counties in each state.
```{r}
# Use count to find the number of counties in each state
counties_selected %>%
  count(State, sort = TRUE)
```
Or we can add a weight to the count verb:
```{r}
# Find number of counties per state, weighted by population
counties_selected %>%
  count(State, wt=TotalPop, sort = TRUE)
```
## Mutating and counting

You can combine multiple verbs together to answer increasingly complicated questions of your data. For example: "What are the US states where the most people walk to work?"

You'll use the walk column, which offers a percentage of people in each county that walk to work, to add a new column and count based on it.
  
    counties_selected <- counties %>%
      select(region, state, population, walk)
      
```{r}
counties_selected %>%
  # Add population_walk containing the total number of people who walk to work
  mutate(population_walk = Walk * TotalPop/100) %>%
  # Count weighted by the new column
  count(State, wt = population_walk, sort = TRUE)
```
We can see that while California had the largest total population, New York state has the largest number of people who walk to work.

## Summarizing

The summarize() verb is very useful for collapsing a large dataset into a single observation.

    counties_selected <- counties %>%
      select(county, population, income, unemployment)

```{r}
# Summarize to find minimum population, maximum unemployment, and average income
counties %>%
  summarize(min_population = min(TotalPop), max_unemployment = max(Unemployment), average_income = mean(Income))
```
If we wanted to take this a step further, we could use filter() to determine the specific counties that returned the value for min_population and max_unemployment.

### Summarizing by state

We can see for example the percentage of men per state.
```{r}
counties_selected %>%
  group_by(State) %>%
  summarize(total_men = sum(Men),
            total_population = sum(TotalPop)) %>%
  mutate(percentage_men = total_men / total_population) %>%
  arrange(desc(percentage_men))
```
## top_n

```{r}
counties_selected %>% 
  group_by(State) %>% 
  top_n(1, TotalPop)
```
```{r}
counties_selected <- counties %>%
  select(State, County, Unemployment)

counties_selected %>% 
  group_by(State) %>% 
  top_n(3, Unemployment)
```
### Finding the highest-income state in each county
When you group by multiple columns and then summarize, it's important to remember that the summarize "peels off" one of the groups, but leaves the rest on. For example, if you group_by(X, Y) then summarize, the result will still be grouped by X.
```{r}
counties_selected <- counties %>%
  select(State, County, TotalPop, Income)

counties_selected %>%
  group_by(County, State) %>%
   # Calculate average income
  summarize(average_income = mean(Income) ) %>%
  # Find the highest income state in each region
  top_n(1, average_income)
```
### Using summarize, top_n, and count together

Five dplyr verbs related to aggregation: count(), group_by(), summarize(), ungroup(), and top_n(). We'll use all of them to answer a question: In how many states women population is greater than men?

```{r}
counties_selected <- counties %>%
  select(State, County, Men, Women)
# Extract the most populated row for each state
counties_selected %>%
  group_by(State, County) %>%
  summarize(women_total = sum(Women),
            men_total = sum(Men),
            women_more_men = women_total > men_total) %>%
  top_n(1, women_total) %>% 
  ungroup() %>% 
  count(women_more_men)
```
Notice that 44 states have more women than men.

# Selecting and Transforming Data

## Selecting columns

Using the select verb, we can answer interesting questions about our dataset by focusing in on related groups of verbs. The colon (:) is useful for getting many columns at a time.
```{r}
counties %>%
  # Select state, county, population, and industry-related columns
  select(State, County, TotalPop, Professional:Production) %>% 
  # Arrange service in descending order 
  arrange(desc(Service))
```
## Select helpers

Below a list of useful helpers:
 - contains()
 - starts_with()
 - ends_with()
 - last_col()
 
 You can see all typing ?select_helpers.
```{r}
counties %>%
  # Select the state, county, population, and those ending with "work"
  select(State, County, TotalPop, ends_with("Work")) %>%
  # Filter for counties that have at least 50% of people engaged in public work
  filter(PublicWork >= 50)
```
It looks like only a few counties have more than half the population working for the government.

## Renaming

```{r}
counties_selected <- counties %>%
select(State, County, TotalPop, Unemployment)

counties_selected %>%
rename(unemployment_rate = Unemployment)
```


The rename() verb is often useful for changing the name of a column that comes out of another verb, such as count().
```{r}
# Rename the n column to num_counties
counties %>%
  count(State) %>%
  rename(num_counties = n)
```
rename() isn't the only way you can choose a new name for a column: you can also choose a name as part of a select().
```{r}
# Select state, county, and poverty as poverty_rate
counties %>%
  select(State, County, poverty_rate = Poverty)
```
## Transmute

The transmute verb allows you to control which variables you keep, which variables you calculate, and which variables you drop.
```{r}
counties %>%
  # Keep the state, county, and populations columns, and add a active column
  transmute(State, County, TotalPop, employment_rate = Employed/TotalPop) %>%
  # Filter for counties with a population greater than one million 
  filter(TotalPop > 1000000) %>%
  # Sort active in ascending order 
  arrange(employment_rate)
```

Examples using different verbs:

```{r}
# Change the name of the unemployment column
counties %>%
  rename(unemployment_rate = Unemployment)
```

```{r}
# Keep the state and county columns, and the columns containing poverty
counties %>%
  select(State, County, contains("Poverty"))
```

```{r}
# Calculate the fraction_women column without dropping the other columns
counties %>%
  mutate(fraction_women = Women / TotalPop)
```
```{r}
# Keep only the state, county, and employment_rate columns
counties %>%
  transmute(State, County, employment_rate = Employed / TotalPop)
```




