Page 406 - Sensing, Intelligence, Motion : How Robots and Humans Move in an Unstructured World
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DISCUSSION  381

            TABLE 7.20. Results of MANOVA in the Combined Data Set
               MANOVA                 Effects Studied: 1—visibility, 2—day
               Effect         Wilks’ Lambda     df 1      df 2       p-level
                1               0.961175         2         19       0.686476
                2               0.877370         2         19       0.288559
               12               0.812598         2         19       0.139257



              • Independent variables:
                1. Visibility, with 2 levels: visible and invisible.
                2. Day (repeated measures), with 2 levels: day 0 and day 2.

            The results are shown in Table 7.20. Note that the p-level for the interaction
            effect is larger than the significance level. We therefore conclude that there is
            no interaction effect in these data, and hence any main effect is not modified
            across the levels of another main effect. The p-levels for the day factor and
            visibility factor are large enough, so the null hypotheses for these main effects
            are accepted. This means that both the day (training) factor and the visibility
            factor do not improve the overall human performance; that is, subjects’ path
            lengths and completion times are not improved (decreased) by providing them
            with a visible environment or with the opportunity to train and practice.


            7.6 DISCUSSION

            The study described in this chapter focuses on experimental testing of human
            performance in tasks that deal with motion planning and require spatial reasoning.
            The experimental stage was followed with a thorough statistical analysis of the
            obtained test data. As said in the introduction to this chapter, the motivation
            for the study was two-prong. First, we wanted to use these data to compare
            human performance with the performance of robot sensor-based motion planning
            algorithms described elsewhere in this book. Second, we wanted to foresee the
            human performance in robot teleoperation systems, with an eye on techniques to
            compensate for operator deficiencies via a synergistic human–robot operation.
            To recap our prior discussion, assessing robot motion planning algorithms raises
            these questions:

              • The question of quality of sensor-based robot motion planning algorithms
                can in principle be addressed in a number of ways. As those options are
                listed below, we will note that the last option—a comparison with human
                performance—stand out as more attractive:
                — One can compare actual generated paths with optimal paths. This com-
                   parison would make, however, little sense simply because producing
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