11.66 Yield of Wheat The yields of wheat (in kilogram per hectare) were compared for five different varieties, A, B, C, D, and E, at six dif- ferent locations. Each variety was randomly assigned to a plot at each location. The results of the experiment are shown in the accompanying table, along with a MINITAB printout of the analysis of variance. Analyze the experiment using the appropriate method. Identify the treatments or factors of interest to the researcher and investigate any effects that exist. Use the diag- nostic plots to comment on the validity of the analysis of variance assumptions. What are the practical impli- cations of this experiment? Write a paragraph explaining the results of your analysis.

Transcribed Image Text:

Location Variety 1 2 3 4 5 6 ABCDE A 35.3 31.0 32.7 36.8 37.2 33.1 30.7 32.2 31.4 31.7 35.0 32.7 38.2 33.4 33.6 37.1 37.3 38.2 34.9 36.1 35.2 38.3 40.2 36.0 32.4 28.9 29.2 30.7 33.9 32.1 MINITAB output for Exercise 11.66 Two-way ANOVA: Yield versus Varieties, Location Source 40 F Varieties 4 142.670 35.6675 Locations S 68.142 13.6283 18.61 7.11 0.000 0.001 Error 20 38.303 1.9165 Total 29 249.142 $ 1.384 R-Sq 84.62 R-Sq(adj) = 77.69% Individual 95% CIs For Mean Based on Pooled StDev VABCDE Varieties 34.3500 32.2833 36.3000 36.7833 31.2000 (- 30.0 --) () 32.0 34.0 36.0