user3651829 - 6 months ago 20

R Question

I have a vector of sample sizes for 4 populations: 3 2 1 4 which sums to 10 individuals. I need code that can dynamically (so can be used in different situations) make a matrix of 1's and 0's with 10 rows and 4 columns that has 3 1's then the rest of that column 0's then the next column has 3 0's then 2 1's then the rest 0's and so on as shown below:

`1 0 0 0`

1 0 0 0

1 0 0 0

0 1 0 0

0 1 0 0

0 0 1 0

0 0 0 1

0 0 0 1

0 0 0 1

0 0 0 1

Input:

`nSamples <- c(3,2,1,4)`

Answer

Here's a possible two-step approach.

```
# create a matrix of zeros first
m <- matrix(0L, ncol = length(nSamples), nrow = sum(nSamples))
# then replace relevant 0s with 1s:
m[cbind(1:nrow(m), rep(seq_along(nSamples), nSamples))] <- 1L
m
# [,1] [,2] [,3] [,4]
# [1,] 1 0 0 0
# [2,] 1 0 0 0
# [3,] 1 0 0 0
# [4,] 0 1 0 0
# [5,] 0 1 0 0
# [6,] 0 0 1 0
# [7,] 0 0 0 1
# [8,] 0 0 0 1
# [9,] 0 0 0 1
# [10,] 0 0 0 1
```

The "trick", if you will, is

```
rep(seq_along(nSamples), nSamples)
#[1] 1 1 1 2 2 3 4 4 4 4
```