1. An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots. The ANOVA table is given below.
Which of the following statements is correct?
A. The experimenter concludes that in subsequent experiments we will only study the effects of variety on yield, as planting density has no effect (P-value = 0.4014).
B. The experimenter concludes that certain planting densities work better with certain varieties for improving yield. (P-value for interaction = 0.0009.)
C. Both choices are correct.
2. An experiment was conducted to determine the effects of three different pesticides (P1,P2,P3) on the yield of three different varieties of citrus tree (V1,V2,V3). Six trees of each variety were randomly selected from the orchard, and the three pesticides were than randomly assigned to the trees; two trees for each pesticide. Yields of fruit, in bushels per tree, were obtained after the test period. A partial ANOVA table is given below.