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. A partial ANOVA table is given below.
If we had done a one-way ANOVA on this data instead, which of the following ANOVA tables would have resulted?
2. In many sports, there is a debate over the use of high-tech equipment to improve performance. A recent study in golf centered on both the use of high-tech equipment and whose performance would actually be improved. In the study, 60 golfers were selected at the beginning of the season: twenty at the beginner's level, twenty at the intermediate level, and twenty who were considered advanced golfers. Each level of golfer was randomly divided into two groups of 10 each. One group was given a titanium driver, and the other group was given weekly golf lessons from a pro. At the beginning of the season, the number of yards that each subject could drive the ball was computed, and at the end of the season this was done again. The variable recorded for each subject was the number of additional yards (possibly negative) that the subject could drive the ball by the end of the season.
For this data, a two-way ANOVA was run with the partial ANOVA table given below.
Using the information in the ANOVA table and the example description, the sum of squares for error is
A. 0.22.
B. 640.44.
C. 1030.64.