In a similar experiment involving maize of different varieties, it was considered that the spacing of the maize could influence yield, so five spacing methods were studied in addition to five varieties of maize and five locations as well as five fertilizer treatments. A Graeco-Latin square design was chosen for the study and the yields of maize per hectare are presented below  In the design, rows=variety; columns=location; Latin=fertilizer type, and Greek=spacing. Is there any significant difference between the yields under different fertilizer treatments? Carry out the plots of the residuals against the following: (1) fitted values, (2) location, (3) variety, (4)

fertilizer treatment, and (5) spacing. How would you interpret the normal probability plot of residuals in relation to basic assumptions in this design?

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Location Variety I II III IV V I II BC 5.65 SD 7.68 0E 8.75 vB 4.32 5.27 QB 3.79 vC 8.35 BD 4.98 0A 5.94 SE 7.50 vE 8.12 BA 6.27 8B 4.22 QD 7.29 OC 4.71 SA 7.93 OB 4.77 QC 6.92 BE 8.48 vD 6.5 4.85 QE 8.88 vA 8.45 SC 4.49 BB 4.88