1. A RBD on the number of insects was performed yielding the following table. Test the constrast if Insecticide 1 and 2 are different from 3. (and then, Create another contrasts that is orthogonal to this one and test it.)
Plot
Insecticide 1 2 3 4
1 56 49 65 60
2 84 78 94 93
3 80 72 83 85
2. A petroleum, company was interested in comparing mpg achieved by four different blends (A, B, C and D) with an attempt to control for two blocks: driving characteristic and car models.
Car Model
Driver 1 2 3 4
1 A(15.5) B(33.8) C(13.7) D(29.2)
2 B(16.3) C(26.4) D(19.1) A(22.5)
3 C(10.5) D(31.5) A(17.5) B(30.1)
4 D(14.0) A(34.5) B(19.7) C(21.6)
a. Write the model form.
b. Estimate the means for each treatment level.
c. Create the ANOVA table and test whether blends is significant.
d. If blends is significant make conclusions based on Tukey post-hoc comparisons at 0.05 significance level.
3. The following is data from a balanced fixed effects factorial experiment.
Factor A
Factor B 1 2 3 4 5
1 18, 16 31, 35 22, 27 39, 36 15, 12
2 13, 15 33, 30 24, 21 35, 38 10, 16
3 24, 28 42, 46 40, 37 52, 57 28, 24
Analyze the data to make conclusions. Perform test(s), interaction plot and post hoc multiple comparisons if needed.