Refer to the Nature (Aug. 2000) study of robots trained to behave like ants, Exercise 14.4. Multiple comparisons of mean energy expended for the four colony sizes were conducted using an experiment wise error rate of .05. The results are summarized in the table.

a. How many pairwise comparisons are conducted in this analysis?

b. Interpret the results shown in the table.

Data from Exercise 14.4

Robotics researchers investigated whether robots could be trained to behave like ants in an ant colony (Nature, Aug. 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.

Transcribed Image Text:

Sample Mean: 97 .95 .93 .80 Group Size: 3 6 9 12