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380    HUMAN PERFORMANCE IN MOTION PLANNING

           TABLE 7.18. Results of ANOVA for Path Length, Experiment Two
             ANOVA                  Effects studied: 1—visibility, 2—day
                        df       MS        df      MS
             Effect    Effect   Effect    Error   Error     F-Value   p-Level
              1          1     13860.02    10    7756.985  1.786780   0.210934
              2          1      6281.40    10    7292.907  0.861303   0.375232
             12          1     12706.58    10    7292.907  1.742321   0.216262


           TABLE 7.19. Results of ANOVA on Completion Time, Experiment Two
             ANOVA                 Effects studied: 1—visibility, 2—day

                        df       MS       df       MS
              Effect   Effect   Effect   Error    Error     F-Value   p-Level
                1        1     125426.0   10     197945.9  0.633638   0.444509
                2        1          0.4   10     442773.8  0.000008   0.997735

               12        1     149626.0   10      44273.8  3.379561   0.095856


              5. An ANOVA was applied to the independent variable of completion time in
           Experiment Two. The variables involved are as follows:

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

           The results are shown in Table 7.19. The p-levels for the main effects and
           interaction effect are all larger than the accepted threshold significance level
           0.05. Hence all null hypotheses for the main effects and interaction effect are
           accepted. We thus conclude that there are no significant effects for the visibility
           factor and day (training) factor, and this does not change across all levels of the
           independent variables. In other words, surprisingly, neither the visibility factor
           nor the day (training) factor has a significant effect on the completion time.
              6. The MANOVA was applied to the combined data set. The variables involved
           are as follows:

              • Dependent variables:
                1. Path length.
                2. Completion time.
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