Latin Square Design

In general, a Latin square of order n is an n × n square such that each row (and each column) is a permutation (or an arrangement) of the same n distinct elements. Suppose you lead a team of four chess players to play four rounds of chess against another team of four players. If each player must play against a different player in each round, a possible schedule could be as follows:

Here, we assumed that the players are numbered 1 to 4 in each team. For instance, in round 1, player 1 of team A will play 1 of team B, player 2 of team A will play 3 of team B, and so on.

Suppose you like to test four types of fertilizers on ...