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RESULTS—EXPERIMENT ONE  361

            agrees with our intuition—that an opposite is true in the point-in-the-labyrinth
            test: One performs significantly better with a bird’s-eye view of the labyrinth
            than when seeing at each moment only a small part of the labyrinth.
              Apparently, something changes dramatically when one switches from the
            labyrinth test to moving a kinematic structure, the arm test. With the arm, mul-
            tiple points of the arm body are subject to collision, the contacts may happen
            simultaneously, and the relation between some such points keeps changing as
            the arm links move relative to each other. It is likely (and some of our tests
            confirm this) that in simpler tasks where the arm cannot touch more than one
            obstacle at the time the visibility factor will play a role similar to the labyrinth
            test. It is clear, however, that if our more general result holds after a sufficient
            training of subjects (see Experiment Two below), we cannot rely on operator’s
            skills in more complex tasks of robot arm teleoperation. Providing the robot with
            more intelligence—perhaps of the kind developed in Chapters 5 and 6—will be
            necessary to successfully handle teleoperation tasks.
              3. The results of testing the effect of interface on the simulation group data
            and the booth group data are shown in Table 7.5; here, Virt stands for “virtual”
            and Phys stands for “physical.” Given the significance level p< 0.01, we reject
            the null hypothesis (which says the two group data sets came from the same pop-
            ulation). We therefore conclude that there is a statistically significant difference
            between the virtual tests (tests where subjects move the arm on the computer
            screen) and “physical” tests (tests where subjects move the physical arm). In
            other words, the interface factor has a statistically significant effect on the length
            of paths produced by the subjects. Furthermore, this effect is present whether or
            not the task is implemented in a visible or invisible environment, and whether
            or not the direction of motion is left-to-right or right-to-left.
              While the Mann–Whitney statistical test isolates the single factor we are
            interested in, the interface factor, its results do not reconcile easily with the
            observations summarized in Table 7.1. Namely, Table 7.1 shows that while in
            the easier (left-to-right) task the subjects performed better with the physical arm
            than with the virtual arm, this difference practically disappeared in the harder
            (right-to-left) task. This calls for more refined statistical tests, with two separate
            direction-of-motion data sets. These are summarized next.
              4. Here the Mann–Whitney test measures the effect of the interface factor
            using only the left-to-right (LtoR) data sets. The results are shown in Table 7.6.
            Given the significance level p< 0.01, we reject the null hypothesis and conclude
            that in the left-to-right task there is a statistically significant difference between


            TABLE 7.5. Results of Mann–Whitney Test on the Interface Factor
             Mann–Whitney Test       Variable: Interface. Group 1: Virt; Group 2: Phys
                                   Rank Sum                           Valid N
             Variable           Virt     Phys       U      p-Level  Virt  Phys
             Path length       10427.00  7718.000  3253.000  0.000895  96  94
   381   382   383   384   385   386   387   388   389   390   391