, Volume 34, Issue 2, pp 139-165

Multidimensional scaling: Combining observations when individuals have different perceptual structures

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The usual methods of combining observations to give interpoint distance estimates based on interstimulus differences are shown to lead to a distortion of the stimulus configuration unless all individuals in a group perceive the stimuli in perceptual spaces which are essentially the same. The nature of the expected distortion is shown, and a method of combining individual distance estimates which produces only a linear deformation of the stimulus configuration is given.

The work reported in this paper forms part of that which was undertaken towards a Ph.D. Degree in the University of Western Australia under the supervision of Dr. John Ross. The author was killed in a road accident before the completion of his Ph.D. The final revision of this paper was made by Ross, to whom enquiries and requests for reprints should be addressed.