refers to a single Latin square with an even number of treatments, or a pair of Latin squares with an odd number of treatments. Each treatment occurs equally often in each position of the sequence (e.g., first, second, third, etc.) and in addition, each sequence of treatments (reading both forward and backward) also occurs equally often.
BALANCED LATIN SQUARE: “The researcher used a balanced Latin square design to ensure that each participant got a chance to have the treatment first, second, and third.”