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Chapter 9: Q36E (page 552)
Define an experiment-wise error rate.
The risk of making a type I error applies to comparing the treatment means in the experiment. Thus, the value αselected is called an experiment-wise error rate.
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Identify whether the following levels of factors are qualitative or quantitative.
a. Method of payment (cash, check, and credit card)
b. Hotel service rating (1 for Fair, 2 for Average, 3 for Good, and 4 for Excellent)
c. Percentage return on investment (1%, 5.5%, and 8.3%)
d. Time taken to complete a car race (22 minutes, 25 minutes, and 29 minutes)
e. Number printed on the back of a football jersey (1, 2, 3, etc.)
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?
Value perceptions of consumers (cont’d). Refer to Exercise 9.10. In addition to the factor, Type of advertisement
(within-store price promotion and between-store price promotion), the researchers also investigated the impact of a second factor—Location where ad is read (at home or in the store). About half of the consumers who
were assigned to the within-store price promotion read the ad at home, and the other half read the ad in the store. Similarly, about half of the consumers who were assigned to the between-store price promotion read the ad at home, and the other half read the ad in the store. In this second
experiment, the goal was to compare the average discount values of the groups of consumers created by combining Type of advertisement with Location.
a. How many treatments are involved in this experiment?
b. Identify the treatments.
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
What are the treatments for a designed experiment that uses one qualitative factor with four levels—A, B, C, and D?
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