We can use dist function in R to calculate distance matrix with Manhattan method - which simply sum the differences of points observed.
Let's follow the examples below to understand how to use it. Along the example, we will use data frame variable named datatocalculate.
> datatocalculate <- data.frame( x = c(3, 1), y = c(2, 4) )
> datatocalculate
x y
1 3 2
2 1 4
Now, let's calculate the distance matrix.
> dist(datatocalculate, method="manhattan")
1
2 4
The calculated distance from 1 to 2 is 4, comes from the following formula:
|1-3| + |4-2|
|-2| + |2|
2 + 2
4
We will modify datatocalculate variable with the following new values.
> datatocalculate <- data.frame( x = c(3, 2, 1), y = c(2, 4, 8) )
> datatocalculate
1 3 2
2 2 4
3 1 8
Calculate the distance matrix again.
> dist(datatocalculate, method="manhattan")
2 3
3 8 5
The calculated distance from 1 to 2 is 3. It is a result of the following calculation:
|2-3| + |4-2|
|-1| + |2|
1 + 2
3
The calculated distance from 1 to 3 is 8. It is a result of the following calculation:
|1-3| + |8-2|
|-2| + |6|
2 + 6
8
The calculated distance from 2 to 3 is 5. It is a result of the following calculation:
|1-2| + |8-4|
|-1| + |4|
1 + 4
5
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