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Breaking Fitts’ Law
 Abhishek, Sahithya, Keenan, Xiao
Our Question.
Is it faster to click on
targets at the edge of
       the screen?
Bounding line simulates edge of screen
Bounding line simulates edge of screen
Bounding line simulates edge of screen
Theoretical Underpinnings:
Targets at the edge of the screen
effectively have infinite width
We used the Least-of method of determining target in
two-dimensions, which MacKenzie and Buxton (1992)
found to be comparable to the W’ Model (actual target
depth along the approach vector).




MacKenzie, I. S., & Buxton, W. (1992). Extending Fitts' law to two-dimensional tasks. Proceedings of the ACM
Conference on Human Factors in Computing Systems - CHI '92, pp. 219-226. New York: ACM.
W
W=∞
Objectified Question


Are movement times lower while
selecting targets at the edge of the screen
than predicted by Fitts’ law?
Additional Questions


Does the magnitude of effect vary based
on target size?
Hypothesis 1


Bounded mouse movements will be
faster than Fitts’ Law would predict.
Hypothesis 2


Bounded mouse movements will be
faster than identical unbounded
movements.
Design

Simulate the edge of the screen with a
‘bounding box.’


Participants perform an identical set of
pointing tasks with a bounding box and
without one.
Independent Variables:

Presence of Bounding Box
Size of Target

Dependent Variable:

Observed Movement Time
Addressing Potential Confounds
    Potential Confounds                      What We Controlled

     Screen Resolution                  Consistent at 1680x1050

Subject Distance from Screen   Same chair height and distance from monitor

       Type of Mouse                Use of identical Dell optical mouse

          Fatigue                          Breaks after 25 trials

       Order Effects           Randomized trials to eliminate order effects

           Device              LCD with identical calibration and constrast

      Starting Position             Always in the center of the screen
Methodology
1680x1050 Resolution
22” Display
2 Foot distance from Display
Targets are 1º and 1.2º of Visual Angle
Dell optical mouse
Randomized order of trials
10 second break after 25 trials to reduce fatigue
Bright green targets on black background
Pink bounding box
Trial time = Time from start until successful click
0.5s fixation time as cursor is auto-centered.
Cursor always starts at center of screen
8 varying target distances
Two distinct target sizes
Same set of targets
4 participants
Data
Average Observed MT vs. Condition

                                                                      t=-7.8984
                                                                      p<0.05




                            t=-5.7272
                            p<0.05
    Average (Observed MT)




                                                t=0.1196
                                                p=0.9




                                               Condition



significant difference between bounded MT and unbounded MT. almost 100 ms difference.

bounding versus no bounding is not significant for large targets,

but, for small targets, the effect is significant, and is close to 100ms
Correlation between Observed MT and Predicted MT



                      0.9
      Correlation




                      0.7

                      0.5

                      0.3

                      0.1

                            No Bounding Box             Bounding Box


so, does Fitts law still work? We were trying to break it. It works very well when there is no
bounding box (around .93), and it still works fairly well when there is a bounding box
(around .83)
Observed MT vs. Predicted MT (Large targets with Bounding Box)




                                            Data




This is a line representing what Fitts law predicts, and box plots for all of the observed MTs
at each index of difficulty.

pretty good fit for large targets with bounding box
Observed MT vs. Predicted MT (Large Targets with No Bounding Box)




                                          Data




also a good fit for large targets with no bounding box
Observed MT vs. Predicted MT (Small targets with Bounding Box)




                                            Data




interesting: these boxes tend to be a bit lower than the Fitts law trend line
Observed MT vs. Predicted MT (Small Targets with No Bounding Box)




                                           Data




and here, Fitts law works pretty well again- the bounding box is gone, so it’s just the normal
task
Differences of Observed Time and Predicted Time




So, there is no significant difference between bounding box and no bounding box across all
targets, although we were a bit faster with the bounding box

for small targets, there is a highly significant difference between predictions and observed
times for small targets with a bounding box, but not with no bounding box. With no
Findings


•   There is a significant difference in movement time
    between bounded and unbounded movements.

•   This effect is only significant for small targets.
What would we do differently?


• Instruct participants on how to approach the
  target, in order to control for the effects of
  strategic differences
    • careful aiming versus quick movements


• We did not remove outliers, and our averages
  may have been skewed by such points
Next Steps



★ Perform test on tablet with physical bounding
  boxes
★ Add additional target sizes between small (20
  pixels) and large (100 pixels) to find out when
  our effect becomes significant.
★ Test for External Validity: Compare differences
  in tab switching time between browsers
External Validity

Chrome on Windows




 Chrome on Mac OS
Questions?

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Breaking Fitts Law

  • 1. Breaking Fitts’ Law Abhishek, Sahithya, Keenan, Xiao
  • 3. Is it faster to click on targets at the edge of the screen?
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Bounding line simulates edge of screen
  • 9. Bounding line simulates edge of screen
  • 10. Bounding line simulates edge of screen
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17. Theoretical Underpinnings: Targets at the edge of the screen effectively have infinite width
  • 18. We used the Least-of method of determining target in two-dimensions, which MacKenzie and Buxton (1992) found to be comparable to the W’ Model (actual target depth along the approach vector). MacKenzie, I. S., & Buxton, W. (1992). Extending Fitts' law to two-dimensional tasks. Proceedings of the ACM Conference on Human Factors in Computing Systems - CHI '92, pp. 219-226. New York: ACM.
  • 19. W
  • 20. W=∞
  • 21. Objectified Question Are movement times lower while selecting targets at the edge of the screen than predicted by Fitts’ law?
  • 22. Additional Questions Does the magnitude of effect vary based on target size?
  • 23. Hypothesis 1 Bounded mouse movements will be faster than Fitts’ Law would predict.
  • 24. Hypothesis 2 Bounded mouse movements will be faster than identical unbounded movements.
  • 25. Design Simulate the edge of the screen with a ‘bounding box.’ Participants perform an identical set of pointing tasks with a bounding box and without one.
  • 26. Independent Variables: Presence of Bounding Box Size of Target Dependent Variable: Observed Movement Time
  • 27. Addressing Potential Confounds Potential Confounds What We Controlled Screen Resolution Consistent at 1680x1050 Subject Distance from Screen Same chair height and distance from monitor Type of Mouse Use of identical Dell optical mouse Fatigue Breaks after 25 trials Order Effects Randomized trials to eliminate order effects Device LCD with identical calibration and constrast Starting Position Always in the center of the screen
  • 28. Methodology 1680x1050 Resolution 22” Display 2 Foot distance from Display Targets are 1º and 1.2º of Visual Angle Dell optical mouse Randomized order of trials 10 second break after 25 trials to reduce fatigue Bright green targets on black background Pink bounding box Trial time = Time from start until successful click 0.5s fixation time as cursor is auto-centered. Cursor always starts at center of screen 8 varying target distances Two distinct target sizes Same set of targets 4 participants
  • 29. Data
  • 30. Average Observed MT vs. Condition t=-7.8984 p<0.05 t=-5.7272 p<0.05 Average (Observed MT) t=0.1196 p=0.9 Condition significant difference between bounded MT and unbounded MT. almost 100 ms difference. bounding versus no bounding is not significant for large targets, but, for small targets, the effect is significant, and is close to 100ms
  • 31. Correlation between Observed MT and Predicted MT 0.9 Correlation 0.7 0.5 0.3 0.1 No Bounding Box Bounding Box so, does Fitts law still work? We were trying to break it. It works very well when there is no bounding box (around .93), and it still works fairly well when there is a bounding box (around .83)
  • 32. Observed MT vs. Predicted MT (Large targets with Bounding Box) Data This is a line representing what Fitts law predicts, and box plots for all of the observed MTs at each index of difficulty. pretty good fit for large targets with bounding box
  • 33. Observed MT vs. Predicted MT (Large Targets with No Bounding Box) Data also a good fit for large targets with no bounding box
  • 34. Observed MT vs. Predicted MT (Small targets with Bounding Box) Data interesting: these boxes tend to be a bit lower than the Fitts law trend line
  • 35. Observed MT vs. Predicted MT (Small Targets with No Bounding Box) Data and here, Fitts law works pretty well again- the bounding box is gone, so it’s just the normal task
  • 36. Differences of Observed Time and Predicted Time So, there is no significant difference between bounding box and no bounding box across all targets, although we were a bit faster with the bounding box for small targets, there is a highly significant difference between predictions and observed times for small targets with a bounding box, but not with no bounding box. With no
  • 37. Findings • There is a significant difference in movement time between bounded and unbounded movements. • This effect is only significant for small targets.
  • 38. What would we do differently? • Instruct participants on how to approach the target, in order to control for the effects of strategic differences • careful aiming versus quick movements • We did not remove outliers, and our averages may have been skewed by such points
  • 39. Next Steps ★ Perform test on tablet with physical bounding boxes ★ Add additional target sizes between small (20 pixels) and large (100 pixels) to find out when our effect becomes significant. ★ Test for External Validity: Compare differences in tab switching time between browsers
  • 40. External Validity Chrome on Windows Chrome on Mac OS