Page 379 - Sensing, Intelligence, Motion : How Robots and Humans Move in an Unstructured World
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354    HUMAN PERFORMANCE IN MOTION PLANNING

              Another surprise is that the statistics undermines the predominant belief among
           subjects and among robotics and cognitive science experts that humans should
           be doing significantly better when moving a physical as opposed to a virtual arm.
           Isn’t the physical arm quite similar to our own arm, which we use so efficiently?
           To be sure, the subjects did better with the physical arm—but only a little
           better, not by as much as one would expect, and only for the (easier) left-to-right
           direction of motion. Once the task became a bit harder, the difference disappeared:
           When moving the physical arm in the right-to-left direction, more often than not
           the subjects’ performance was significantly worse than when moving the virtual
           arm in the left-to-right direction, and more or less comparable to moving the
           virtual arm in the same right-to-left direction (see Table 7.1).
              In other words, letting a subject move the physical arm does not guarantee
           more confidence than when moving a virtual arm: Some other factors seem to
           play a more decisive role in the subjects’ performance. In an attempt to extract
           the (possibly hidden) effects of our experimental factors on one’s performance,
           two types of analysis have been undertaken for the Experiment One data:


              • The first one, Principal Components Analysis (PCA), has been carried out
                as a preliminary study, to understand the general nature of obtained obser-
                vation data and to see if such factors as subjects’ gender, specialization, and



           TABLE 7.1. Descriptive Statistics for the Data in Experiment One
                                                Descriptive Statistics

           Variable/Task           Valid N  Mean   Minimum   Maximum   Std. Dev.
           Length of path
             Virtual–visible–LtoR    24     58.77    18.26    147.23     31.74
             Virtual–visible–RtoL    24    176.92    29.54    391.41     91.28
             Virtual–invisible–LtoR  24     85.82    21.88    340.15     71.65
             Virtual–invisible–RtoL  24    156.08    17.59    392.41     96.89
             Physical–visible–LtoR   23     27.70    13.92     51.69     11.64
             Physical–visible–RtoL   24    142.97    15.78    396.45    109.38
             Physical–invisible–LtoR  24    60.57    15.17    306.13     75.78
             Physical–invisible–RtoL  23   160.19    14.26    501.59    145.10
           Time to completion:
             Virtual–visible–LtoR    24    265.54     82        595     163.19
             Virtual–visible–RtoL    24    692.79    186        912     252.00
             Virtual–invisible–LtoR  24    376.02     72        920     282.82
             Virtual–invisible–RtoL  24    675.75     66        941     329.91
             Physical–visible–LtoR   24     46.21     14        102      26.49
             Physical–visible–RtoL   24    218.50     15        902     228.44
             Physical–invisible–LtoR  24   122.88     19        612     155.37
             Physical–invisible–RtoL  24   299.88     22        900     244.63
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