Abstract
It is possible to create pairs of Latin squares that are digram balanced (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 procedure is very time-consuming if done manually. A BASIC program is described that generates the correct pairs of squares for experiments with as many as 80 conditions.
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References
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I would like to acknowledge the helpful comments from Jerome L. Myers and an anonymous reviewer, which substantially improved this paper.
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Lewis, J.R. Pairs of Latin squares that produce digram-balanced Greco-Latin designs: A BASIC program. Behavior Research Methods, Instruments, & Computers 25, 414–415 (1993). https://doi.org/10.3758/BF03204534
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DOI: https://doi.org/10.3758/BF03204534