New technique to design graeco latin square for odd numbers of treatments

Abstract EN

In any laboratory or field experiment, if homogeneity is provided on the experimental units, the Complete Random Design (CRD) is the best design, on the condition that the conditions (assumptions) for the analysis of variance (ANOVA) are available.

If the homogeneity is not ensured, to control systematically one source of extraneous variability the Randomized Complete Block Design (RCBD) is the best.

In the case of two sources of external variability, the Latin Square Design (LSD) design is best.

If three sources of external variability are present, the Graeco Latin Square Design (GLSD) is better, but this design is complicated because of the two conditions available for the (GLSD) which is not to repeat letters for the rows and columns, and every letter must contain one Greek letter.

In the case of 6*6 design, we do not feel able to do this.

Therefore, I have found a new technique for all designs that have odd numbers of (n) treatments.

This method can help researchers in their scientific research