Jr. Lewis, PAIRS OF LATIN SQUARES THAT PRODUCE DIAGRAM-BALANCED GRECO-LATIN DESIGNS - A BASIC PROGRAM, Behavior research methods, instruments, & computers, 25(3), 1993, pp. 414-415
It is possible to create pairs of Latin squares that are digram balanc
ed (in other words, that counterbalance immediate sequential effects)
in a Greco-Latin design. A behavioral researcher can use these squares
to design an efficient, well-balanced study without relying on chance
. Researchers can apply these squares to any experiment in which they
must pair conditions with different stimuli in a within-subject design
. For experiments with a large number of conditions, however, the proc
edure is very time-consuming if done manually. A BASIC program is desc
ribed that generates the correct pairs of squares for experiments with
as many as 80 conditions.