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Chapter 9: Q89SE (page 522)

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?

Short Answer

Expert verified

a. We considered a completely randomized design.

Step by step solution

01

Given Information

There are four colonies.

Colonies contain 3, 6, 9 or 12 robots.

02

Completely Randomized design

The simplest design is completely randomized design. In this design the experimental units are assigned at random to the treatments. Therefore, the every unit gets the same chance of receiving every treatment.

03

Step 3:

In this case, we considered a completely randomized design.

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Most popular questions from this chapter

Mixed gender decision-making groups. In business, a group of executives is often assigned to make key decisions. The American Journal of Political Science (April 2014) published a study on a woman’s impact on mixed-gender deliberating groups. The researchers randomly assigned subjects to one of several 5-member decision-making groups. The

groups’ gender composition varied as follows: 0 females, 1 female, 2 females, 3 females, 4 females, or 5 females. Each group was then randomly assigned to utilize one of two types of decision rules: unanimous or majority rule. Ten groups were created for each of the 6 * 2 = 12 combinations of gender composition and decision rule. One variable

of interest, measured for each group, was the number of words spoken by women on a certain topic per 1,000 total words spoken during the deliberations.

a. Why is this experiment considered a designed study?

b. Identify the experimental unit and dependent variable in this study.

c. Identify the factors for this study. Give the levels of each factor.

d. How many treatments are in this study? List them.

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.

Refer to Exercises 9.17 and 9.18. Complete the following ANOVA table for each of the two dot plots:

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?

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

See all solutions

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