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Graeco-Latin and Higher Order Squares

Consider the Latin Square in Table 12.10. It is possible to construct another Latin Square, using Greek Letters (Table 12.11) such that when they are superimposed (Table 12.12) to each Latin letter corresponds all Greek letters and vice-versa. Such a square is called Graeco-Latin.  [Pg.122]

The applications of this to experimental design are obvious. If as in the previous example different colunms were different angles, the rows different pressures, and Latin letters different batches, then the Greek letters could be any further factor such as rate of pressing. [Pg.122]

The analysis of variance proceeds exactly as in the previous section, except that now there is a further item derived exactly in the same way as the first three in Table 12.9, again with (n — 1) degrees of freedom. The Sum of Squares for the Residual, obtained by difference as before, now has (n — 1) (n — 3) degrees of freedom. [Pg.122]

Fisher and Yates Tables (Table XVI) give the structure of such squares from n = 3 to 9. It is remarkable that for n = 6 nothing higher than a Latin Square is possible. [Pg.123]


See other pages where Graeco-Latin and Higher Order Squares is mentioned: [Pg.122]   


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