Chapter 9: 1E (page 528)
What are the treatments for a designed experiment that uses one qualitative factor with four levels—A, B, C, and D?
There are four treatments A, B, C, and D.
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Use Tables V, VI, VII, and VIII in Appendix D to find each
of the following F-values:
a. F0.05,v1=4,v2=4
b. F0.01,v1=4,v2=4
c. F0.10,v1=30,v2=40
d. F0.025,v1=15,v2=12
Explain the difference between an experiment that employs a completely randomized design and one that employs a randomized block design.
Suppose you conduct a 4 * 3 factorial experiment.
a. How many factors are used in the experiment?
b. Can you determine the factor type(s)—qualitative or quantitative—from the information given? Explain.
c. Can you determine the number of levels used for each factor? Explain.
d. Describe a treatment for this experiment and determine the number of treatments used.
e. What problem is caused by using a single replicate of this experiment? How is the problem solved?
Evaluation of flexography printing plates. Refer to the Journal of Graphic Engineering and Design (Vol. 3, 2012) study of the quality of flexography printing, Exercise 9.24 (p. 544). Recall that four different exposure times were studied—8, 10, 12, and 14 minutes—and that the measure of print quality used was dot area (hundreds of dots per square millimeter). Tukey’s multiple comparisons procedure (at an experimentwise error rate of .05) was used to rank the mean dot areas of the four exposure times. The results are summarized below. Which exposure time yields the highest mean dot area? Lowest?
Robots trained to behave like ants. Robotic researchers investigated whether robots could be trained to behave like ants in an ant colony (Nature, August 2000). Robots were trained and randomly assigned to “colonies” (i.e., groups) consisting of 3, 6, 9, or 12 robots. The robots were assigned the task of foraging for “food” and to recruit another robot when they identified a resource-rich area. One goal of the experiment was to compare the mean energy expended (per robot) of the four different colony sizes.
a. What type of experimental design was employed?
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