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.

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Presentation transcript:

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

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)

Data – Multivariate Form

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

Sphericity Assumption

Sphericity Assumption Continued

Mauchley Test

C Matrix and CSC’ Matrix

Mauchley Test

Degrees of Freedom Adjustments

Multivariate Tests for Within-Subjects Factor(s)

Multivariate Tests for Within Subjects Factor(s)

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

Wilk’s 

Pillai’s Trace

Hotelling-Lawley Trace

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

Multivariate Tests for Within-Subjects Factor(s)

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

F-Tests for Navigation Technique Effects

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

F-Tests for Input Method Effects

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

F-Tests for Navigation Technique Effects