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Features |
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This page introduces the main
features of AMISESCAL. |
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Formulation of Asymmetry |
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In
AMISESCAL, asymmetry in data is expressed using the von Mises distribution.
For example, Person i takes a
liking to Person j, but Person j does not take a liking to Person i. The asymmetry of the feelings
between the two persons is explained by the differences in the parameters of
their von Mises distributions. The figure below represents the asymmetry of
the feelings between the two persons as reflected by the difference between πij and πji. If a detailed explanation is necessary, please refer to Quick
Introduction on the top page.
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Basic Behavior of Model |
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The table on the left is the asymmetric
data matrix for three persons. A state of stronger positive feeling denotes
lower psychological proximity: the stronger the positive feeling, the smaller
is the value expressed in the data matrix. That is, in the data, Person A
likes Person B, Person B likes Person C, and Person C likes Person A. After
analyzing this trianglular relationship by
AMISESCAL, we obtain the result shown in the map on the right. Each person
looks to the direction that he/she likes.
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In this example, Persons A and B like
each other because the values A to B and B to A are small. In addition, Both
Persons A and B like Person C. However, Person C likes Person D, and Person D
like Persons A and B. By analyzing the asymmetric data, the result is
obtained as the map on the right. In AMISESCAL, each person looks to his/her
one-sided love object(s) as well as the positions of the persons in mutual
love are close to with each other.
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The table on the left illustrates the
situation where Persons B, C, and D like Person A, and Person A like no one.
In addition, Person B likes Person C, Person C likes Person D, and Person D
likes Person B. That is, the relationship among Persons B, C, and D is
triangular. By analyzing the asymmetric matrix, the map on the right is
obtained. Person A looks nowhere because he/she likes no one. Person B looks
toward the midpoint between the positions of Persons A and C. In the same
manner, Person C looks toward the midpoint between Persons A and D, and
Person D looks toward the midpoint between Persons A and B.
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