Abstract
A model is introduced to analyze and represent spatially either directly obtained or derived judgments expressing directions in space or betwennness relations among objects. For the two-dimensinal case the construction rules tofind a spatial representation of the object points are given in detail. A small example illustrates the procedure. Consistency tests are reported which allow a differentiated analysis of this kind of cognitive structure. The three-dimensional case is discussed briefly. Finally, it is illustrated how ratings, rankings, and co-occurrence informations are transformed to betweenness data.
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References
CHASE, W. G. (1986): Visual information processing. In: K. R. BOFF, L. KAUFMAN, and J. P. THOMAS (eds.): Handbook of Perception and Human Performance. Vol.. H. Wiley, New York 28–1–28–71.
FEGER, H. (1991): Depth perception in pictures. Medienpsychologie, 3, 124–145.
FEGER, H. (1994): Structure Analysis of Co-occurrence Data. Shaker, Aachen.
FEGER, H. (1996): Positions of objects in space. Their definition and their effects on experience and behavior. In: W. Battmann and S. Dutke (eds.): Processes of the Molar Regulation of Behavior. Pabst Science Publishers, Lengerich 55–72.
FEGER, H. (under review). Some applications of FPA in the social and behavioral sciences. In: H. FEGER and M. BREHM (eds.): New Developments in Feature Pattern Analysis (manuscript available from the author).
FISHBURN, P.C. (1985): Interval Orders and Interval Graphs. Wiley, New York.
TOLMAN, E. C. (1948): Cognitive maps in rats and men. Psychological Review, 55, 189–208.
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© 1998 Springer-Verlag Berlin · Heidelberg
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Feger, H. (1998). An Approach to Modelling Directional and Betweenness Data. In: Balderjahn, I., Mathar, R., Schader, M. (eds) Classification, Data Analysis, and Data Highways. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72087-1_3
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DOI: https://doi.org/10.1007/978-3-642-72087-1_3
Publisher Name: Springer, Berlin, Heidelberg
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