1. Repeated Measures ANOVA Comparison of Task Completion Times of 4 Navigation Techniques and 2 Input Methods by 36 Subjects Source: F.-G. Wu, H. Lin, M. You (2011). "The Enhanced Navigator for the Touch Screen: A Comparative Study on Navigational Techniques of Web Maps," Displays, Vol. 32, pp. 284-295.

2. Data Description and Model Experiment Conducted to Compare Effects of Navigation Technique and Input Method on Task Completion Times  Factor A (Fixed): Navigation Technique: CPB, DPB, ENCC, G&D CPB = Combined Panning Buttons, DPB = Distributed Panning Buttons ENCC = Enhanced Navigator w/ Continuous Control, G&D = Grab&Drag  Factor B (Fixed): Input Method: Direct-Touch, Mouse  Factor C (Random): 36 Subjects measured on all 8 Treatments Response is time to complete navigation task.  Data simulated to match authors’ results (Means, F-tests)

3. Data – Multivariate Form

4. Variance-Covariance Matrix for 8 Navigation Treatments The Variance of the 36 measurements for NavTrt 1 (NavTech=1, InpMeth=1) is 1057.12 The Covariance of the 36 Measurements for NavTrt’s 1 and 2 (NT=1, IM=2) is -8.03

5. Sphericity Assumption

6. Sphericity Assumption Continued

7. Mauchley Test

8. C Matrix and CSC’ Matrix

9. Mauchley Test

10. Degrees of Freedom Adjustments

11. Multivariate Tests for Within-Subjects Factor(s)

12. Multivariate Tests for Within Subjects Factor(s)

13. S E S H (S E ) -1 S H Matrices

14. Wilk’s 

15. Pillai’s Trace

16. Hotelling-Lawley Trace

17. Roy’s Largest Root Largest eigenvalue is 2.899115 (Computed in R)

18. Multivariate Tests for Within-Subjects Factor(s)

19. Test For Navigation Technique Wilks’  Pillai’s Trace Hotelling-Lawley Trace & Roy’s Largest Root

20. F-Tests for Navigation Technique Effects

21. Test For Input Method Wilks’  Pillai’s Trace Hotelling-Lawley Trace & Roy’s Largest Root

22. F-Tests for Input Method Effects

23. Test For NavTech/InpMeth Interaction Wilks’  Pillai’s Trace Hotelling-Lawley Trace & Roy’s Largest Root

24. F-Tests for Navigation Technique Effects