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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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Define an experiment-wise error rate.
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.
Define a comparison-wise error rate.
Forecasting electrical consumption. Two different methods of forecasting monthly electrical consumption were compared and the results published in Applied Mathematics and Computation (Vol. 186, 2007). The two methods were Artificial Neural Networks (ANN) and Time Series Regression (TSR). Forecasts were made using each method for each of 4 months. These forecasts were also compared with the actual monthly consumption values. A layout of the design is shown in the next table. The researchers want to compare the mean electrical consumption values of the ANN forecast, TSR forecast, and Actual consumption
a. Identify the experimental design employed in the study.
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