Graeco-latin square

The following Graeco-Latin squares may be used for practical needs  

The mathematical model of Graeco-Latin squares has the form  

Analysis of variance for Graeco-Latin squares is shown in Table 2.67. 

As expected, the effect of differences between numbers is statistically unimportant and is of the same size as the experimental error. Hence we may join sums of squares for the factor between numbers and experimental error into a new combined experimental error, with 42 degrees of freedom. Variations between columns 

Volume of corrosion matter Color of nitric acid  

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If there are three types of blocking factors, Graeco-Latin square designs can be used to minimize their effects. The following is a 4 x 4 Graeco-Latin square. What do a, p, y, and o represent ... 

Cochran and Cox [3] have examples of Latin squares (three factors) up to twelve levels and Graeco Latin squares (four factors) up to twelve levels. 

Graeco-Latin square an experimental design which permits study of the effects of 4 factors at n levels in n2 runs (n > 4). 

Table 2.67 Analysis of variance of n x n Graeco-Latin square...

The data given below are results of 25 design points performed at five temperatures and with five different time periods, with the idea of establishing effects of the given factors on conversion in a chemical reactor. To avoid inequality effects, five chemical reactors and five operators were included in the experiment. So, 25 design points were done in five reactors with five operators by design of experiment of a 5x5 Graeco-Latin square in such a way that each operator used each reactor only once at each temperature and for a constant conversion time period. Characters denote reactors and numbers the operators. Do the analysis of variance. 

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