Latin square designs and its generalisations as an array

## Usage

latin_square(n, randomise = TRUE)

latin_rectangle(nr, nc, nt, randomise = TRUE)

latin_array(dim, nt, randomise = TRUE)

## Arguments

n, nt

The number of treatments

randomise

A logical value to indicate whether the treatment allocation should be randomised. The default value is TRUE.

nr

The number of rows

nc

The number of columns

dim

A vector of integers to indicate the number of elements in each dimension.

## Functions

• latin_square: Latin square design

• latin_rectangle: Like a Latin square design but allow different number of rows and columns

• latin_array: Returns an array where it stitches up multiple Latin square/rectangle design

## Examples

latin_square(n = 3)
#>      [,1] [,2] [,3]
#> [1,]    3    1    2
#> [2,]    2    3    1
#> [3,]    1    2    3
latin_rectangle(3, 3, 3)
#>      [,1] [,2] [,3]
#> [1,]    2    3    1
#> [2,]    1    2    3
#> [3,]    3    1    2
latin_array(3, c(3, 3, 3))
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> Warning: numerical expression has 3 elements: only the first used
#> , , 1
#>
#>      [,1] [,2] [,3]
#> [1,]    1    2    3
#> [2,]    2    3    1
#> [3,]    3    1    2
#>
#> , , 2
#>
#>      [,1] [,2] [,3]
#> [1,]    2    3    1
#> [2,]    3    1    2
#> [3,]    1    2    3
#>
#> , , 3
#>
#>      [,1] [,2] [,3]
#> [1,]    3    1    2
#> [2,]    1    2    3
#> [3,]    2    3    1
#>