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,]    2    1    3
#> [2,]    1    3    2
#> [3,]    3    2    1
latin_rectangle(3, 3, 3)
#>      [,1] [,2] [,3]
#> [1,]    2    3    1
#> [2,]    3    1    2
#> [3,]    1    2    3
latin_array(c(3, 3, 3), 3)
#> , , 1
#> 
#>      [,1] [,2] [,3]
#> [1,]    2    3    1
#> [2,]    1    2    3
#> [3,]    3    1    2
#> 
#> , , 2
#> 
#>      [,1] [,2] [,3]
#> [1,]    1    2    3
#> [2,]    3    1    2
#> [3,]    2    3    1
#> 
#> , , 3
#> 
#>      [,1] [,2] [,3]
#> [1,]    3    1    2
#> [2,]    2    3    1
#> [3,]    1    2    3
#>