Vectors

Vectors Basics

  • A vector is a sequence of values that all have the same type
  • You can create a vector using the c() function, which stands for “combine”

    
  • Using the str function we learned last time shows that this is a vector of 4 character strings

    

You can select pieces of a vector by “slicing” the vector (like slicing a pizza). This is done using square brackets []. In general [] in R means, “give me a piece of something”.

If we put one number in the brackets it will us the value that position:


    

Try changing this to get the values at different positions.

If we use two numbers separated by a colon this will give us all the values in the range of those numbers. For 1:3 will use us the first through third values.


    
  • 1:3 works by makeing a vector of the whole numbers 1 through 3.

  • So, this is the same as states[1:3] is the same as states[c(1, 2, 3)]

  • You can use a vector to get any subset or order you want states[c(4, 1, 3)]

  • Many functions in R take a vector as input and return a value

  • This includes the function length which determines how many items are in a vector


    
  • We can also calculate common summary statistics
  • For example, if we have a vector of population counts

    

Do Basic Vectors.

Null values

  • So far we’ve worked with vectors that contain no missing values
  • But most real world data has values that are missing for a variety of reasons
  • For example, kangaroo rats don’t like being caught by humans and are pretty good at escaping before you’ve finished measuring them
  • Missing values, known as “null” values, are written in R as NA with no quotes, which is short for “not available”
  • So a vector of 4 population counts with the third value missing would look like

    
  • If we try to take the mean of this vector we get NA?

    
  • Hard to say what a calculation including NA should be
  • So most calculations return NA when NA is in the data
  • Can tell many functions to remove the NA before calculating
  • Do this using an optional argument, which is an argument that we don’t have to include unless we want to modify the default behavior of the function
  • Add optional arguments by providing their name (na.rm), =, and the value that we want those arguments to take (TRUE)

    

Do Nulls in Vectors.

Working with multiple vectors

  • Build on example where we have information on states and population counts by adding areas

    

Vector math

  • We can divide the count vector by the area vector to get a vector of the density of individuals in that area

    
  • This works because when we divide vectors, R divides the first value in the first vector by the first value in the second vector, then divides the second values in each vector, and so on
  • Element-wise: operating on one element at a time

Filtering

  • Subsetting or “filtering” is done using []
  • Like with slicing, the [] say “give me a piece of something”
  • Selects parts of vectors based on “conditions” not position
  • Get the density values in site a

    
  • == is how we indicate “equal to” in most programming languages.

  • Not =. = is used for assignment.

  • Can also do “not equal to”


    
  • Numerical comparisons like greater or less than
  • Select states that meet with some restrictions on density

    
  • Can subset a vector based on itself
  • If we want to look at the densities greater than 3
  • density is both the vector being subset and part of the condition

    
  • Multiple vectors can be used together to perform element-wise math, where we do the same calculation for each position in the vectors
  • We can also filter the values in vector based on the values in another vector or itself

Do Shrub Volume Vectors 1-3.