Practice Exercise for Factorial ANOVA

Now that you have learned how to test hypotheses using factorial ANOVA, test your knowledge with a practice exercise. Test the hypothesis presented below. Include a summary table. Check your work by clicking on the components listed below.

Problem

Students often complain that having final exams at scheduled times that are different from regular class sessions disrupts their circadian rhythms and affects their performance. You suspect that this might be so and that the impact would be greatest for more difficult exams. To test this, you conduct a 2 x 3 between subjects experiment in which difficulty level and time of testing are varied for a sample of students who are taking final exams at "different" times. Using the data presented below, test whether performance depends on time of day and difficulty level of the exam.

Design

 

Time of Testing (Factor B)

Test Difficulty

(Factor A)
9:00 am
12:00 pm
3:00 pm
Difficult

5

4

1

1

SX = 11

SX2 = 43

8

6

6

5

SX = 25

SX2 = 161

10

10

12

8

SX = 40

SX2 = 408
Easy

11

5

14

10

SX = 40

SX2 = 442

6

9

8

7

SX = 30

SX2 = 230

6

4

3

1

SX = 14

SX2 = 62

 

Set up Hypothesis SSA Summary Table
Correction Factor SSB Hypothesis Test
SSTotal SSAxB Graph
SSBetween SSWithin Interpretation

 

 

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