1. (2 points) The following output was obtained from a computer program that performed a two-factor ANOVA on a factorial experiment.
Two-way ANOVA: y versus A, B
Source
DF
SS
MS
F
P
A
1
0.322
?
?
?
B
?
80.554
40.2771
4.59
?
Interaction
?
?
?
?
?
Error
12
105.327
8.7773
Total
17
231.551
a. Fill in the blanks in the ANOVA table. You can use bounds on the P-values.
b. How many levels were used for factor B?
c. How many replicates of the experiment were performed?
d. What conclusions would you draw about this experiment?
0. (3 points) The yield of a chemical process is being studied. The two most important variables are thought to be the pressure and the temperature. Three levels of each factor are selected, and a factorial experiment with two replicates is performed. The yield data follow:
Temperature
Pressure
200
215
230
150
90.1
90.5
89.9
90.3
90.6
90.1
160
90.5
90.8
90.4
90.7
90.9
90.1
170
90.4
90.7
90.2
90.2
90.6
90.4
a. Analyze the data and draw conclusions. Use α = 0.05.
b. Under what conditions would you operate this process?
3. Watch this short video on “Main effects
& interaction effects”. Then discuss the difference between “main effects” and “interaction effects” in an ANOVA. Illustrate your answer with an example. Additionally, provide constructive feedback on at least one other student posting on the forum.
