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Background: Dexterity in Robotic Manipulation by Imitating Human Beings  3


              can be obtained. Chapter 5 examines human reaching behavior when
              manipulating parallel flexible objects and shows that the optimal hand tra-
              jectory is composed of a fifth order polynomial (as in the classic minimum
              jerk model) and trigonometric terms depending on the natural frequencies
              of the system and time movement.
                 The second section provides recent results of design (Chapters 6 and 7),
              control (Chapters 8 and 9), and planning (Chapter 10) for dexterous
              robotic manipulation while considering human functions. Chapter 6 pre-
              sents a novel anthropomorphic robotic hand design, imitating the salient fea-
              tures of the human hand. Chapter 7 presents a novel fingertip design
              imitating the structure of human fingers, and a robotic hand equipped with
              the fingertip. Both designs give hints for constructing robotic hands utilizing
              human hand features. Based on the human function of thumb opposability,
              Chapter 8 presents a control schema utilizing the concept of passivity.
              Chapter 9 presents the controller with considering the difference of sensing
              timing between visual sensors (low sampling rate) and joint sensors (high
              sampling rate). Chapter 10 presents a planning methodology to manipulate
              objects with two arms like human beings.



              1.2 COMPLEMENTAL INFORMATION

              To make it easier to understand, complemental information is
              provided here.



              1.2.1 Statistically Significant Difference
              When examining the differences between two groups, statistical hypothesis
              testing is used. Both groups are supposed to be represented by the Student’s
              t-distribution. The testing outputs the P-value (probability value), which
              indicates the probability for the null hypothesis that each element of the
              two groups belongs to the same distribution. If the P-value is less than
              the given level of significance (for example, 0.05 or 5%), the null hypothesis
              is rejected, and it can be said that there is a statically significant difference
              between the two groups. This analysis is valid for the two groups. If the
              number of the target groups is more than two, the post hoc test is performed
              for the analysis. Table 1.1 shows a summary of which test should be per-
              formed in each case. For details, please see text books on statistics, for
              example [1].
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