Latin Square Design

Richardson, John T. E. (2018). Latin Square Design. In: Frey, Bruce B. ed. The SAGE Encyclopedia of Educational Research, Measurement, and Evaluation. SAGE Publications, p. 949.

DOI: https://doi.org/10.4135/9781506326139.n382

Abstract

A Latin square is a grid or matrix containing the same number of rows and columns (k, say). The cell entries consist of a sequence of k symbols (for instance, the integers from 1 to k) inserted in such a way that each symbol occurs only once in each row and once in each column of the grid. By way of an example, Table 1 shows a Latin square that contains the numbers from 1 to 5. This entry describes the classification of Latin squares, their origins in agricultural experiments, and their applications in the social and behavioral sciences.

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