The Latin Square Design
This design is used to simultaneously control (or
eliminate) two sources of nuisance variability
(confounding variables).
It is called “Latin” because we usually specify the
treatment by the Latin letters.
“Square” because it always has the same number of
levels (p) for the row and column nuisance factors.
A significant assumption is that the three factors
(treatments and two nuisance factors)
do not interact.