Generates a Balanced Latin Square

A Latin square[1] is an n x n array filled with n different symbols, each occuring exactly once in each row and column.

Latin squares are often used in experiment designs; each row corresponds to a participant, and each column corresponds to a condition. In order to control for the ordering of the conditions, experiments can use a Balanced Latin Square[2].

When the number of conditions is even, each condition will precede another once. When the number of conditions is odd, each condition will precede another twice.

If available in Hex, the package can be installed by adding balanced_latin_square to your list of dependencies in mix.exs:

def deps do
  [
    {:balanced_latin_square, "~> 0.1.0"}
  ]
end

[1] Wikipedia contributors. (2023, July 27). Latin square. In Wikipedia, The Free Encyclopedia. Retrieved 14:38, August 13, 2023, from https://en.wikipedia.org/w/index.php?title=Latin_square&oldid=1167384530

[2] James V Bradley. (1958). Complete Counterbalancing of Immediate Sequential Effects in a Latin Square Design. Journal of the American Statistical Association, 53:282, 525-528, DOI: 10.1080/01621459.1958.10501456

Documentation can be generated with ExDoc and published on HexDocs. Once published, the docs can be found at https://hexdocs.pm/balanced_latin_square.