An Approach to Modelling Directional and Betweenness Data

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.