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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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.
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?
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
Accounting and Machiavellianism. A study of Machiavellian traits in accountants was published in Behavioral Research in Accounting (January 2008). Recall (from Exercise 1.33, p. 52) that Machiavellian describes negative character traits such as manipulation, cunning, duplicity, deception, and bad faith. A Mach rating score was determined for each in a sample of accounting alumni of a large southwestern university. The accountants were then classified as having high, moderate, or low Mach rating scores. For one portion of the study, the researcher investigated the impact of both Mach score classification and gender on the average income of an accountant. For this experiment, identify each of the following:
a. Experimental unit
b. Response variable
c. Factors
d. Levels of each factor
e. Treatments
Drafting NFL quarterbacks. Refer to the Journal of Productivity Analysis (Vol. 35, 2011) study of how successful NFL teams are in drafting productive quarterbacks, Exercise 1.26 (p. 51). Recall that the researchers measured two variables for each of the 331 quarterbacks drafted between
1970 and 2007: (1) Draft position (Top 10, between picks 11 and 50, or after pick 50) and (2) QB production score (where higher scores indicate more productive QBs). Suppose we want to compare the mean production score
of quarterbacks in the three draft position groups. Identify each of the following elements for this study:
a. Response variable
b. Factor(s)
c. Treatments
d. Experimental units
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