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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 鈥渃olonies鈥� (i.e., groups) consisting of 3, 6, 9, or 12 robots. The robots were assigned the task of foraging for 鈥渇ood鈥� 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

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)鈥攓ualitative or quantitative鈥攆rom 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?

What are the treatments for a designed experiment that uses one qualitative factor with four levels鈥擜, B, C, and D?

Identifying the type of experiment. Brief descriptions of a number of experiments are given next. Determine whether each is observational or designed and explain your reasoning.

a. An economist obtains the unemployment rate and gross state product for a sample of states over the past 10 years, with the objective of examining the relationship between the unemployment rate and the gross state product by census region.

b. A manager in a paper production facility installs one of three incentive programs in each of nine plants to determine the effect of each program on productivity.

c. A marketer of personal computers runs ads in each of four national publications for one quarter and keeps track of the number of sales that are attributable to each publication鈥檚 ad.

d. An electric utility engages a consultant to monitor the discharge from its smokestack on a monthly basis over a 1-year period to relate the level of sulfur dioxide in the discharge to the load on the facility鈥檚 generators.

e. Intrastate trucking rates are compared before and after governmental deregulation of prices changed, with the comparison also taking into account distance of haul, goods hauled, and the price of diesel fuel.

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

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