Analysis of Variance (ANOVA) A psychologist noticed that complex objects take longer to recognize than simple objects. The researchers believed this difference was due to the fact that recognition of complex objects required more eye movements than simple objects and therefore required more time to process. To test this hypothesis, the researchers monitored the eye movements of four groups of 6 participants in order to count the number of fixations they made when viewing one of the four different shapes: a triangle, a pentagon, an octagon, and a dodecagon (a 12-sided polygon). The number of fixations used by each subject to correctly identify each object is shown in the table below. Test the null hypothesis that the number of eye movements does not differ by type of shape. Write a concluding statement. Triangle Pentagon Octagon Dodecagon 1 2 2 5 2 3 4 6 1 4 5 6 2 4 5 6 2 3 4 5 1 3 5 7

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Analysis of Variance (ANOVA)

A psychologist noticed that complex objects take longer to recognize than simple objects. The researchers believed this difference was due to the fact that recognition of complex objects required more eye movements than simple objects and therefore required more time to process. To test this hypothesis, the researchers monitored the eye movements of four groups of 6 participants in order to count the number of fixations they made when viewing one of the four different shapes: a triangle, a pentagon, an octagon, and a dodecagon (a 12-sided polygon). The number of fixations used by each subject to correctly identify each object is shown in the table below. Test the null hypothesis that the number of eye movements does not differ by type of shape. Write a concluding statement.

Triangle

Pentagon

Octagon

Dodecagon

1

2

2

5

2

3

4

6

1

4

5

6

2

4

5

6

2

3

4

5

1

3

5

7

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