A 2 x 4 factorial experiment is conducted to compare yields…
A 2 x 4 factorial experiment is conducted to compare yields of 4 varieties of soybeans that are planted in rows either 15 inches or 30 inches apart. Two plots of ground are randomly assigned to each combination of soybean variety and row spacing. The yields of soybeans (in bushels per acre) are as follows: Rows 1 2 3 4 15″ 45 46 47 46 46 46 48 43 30″ 35 41 42 39 32 39 38 41 The partially completed ANOVA table is as follows: Source df SS MS F Total 319.75 Variety 41.25 13.75 5.0 Row spacing 225 225 81.8 Variety x row spacing 31.5 Error 22 2.75 Should we reject or not reject the null hypothesis for the interaction between variety and row spacing? Use a significance level of α = 0.05.