Abstract
Ordinal data are looked at from two different points of view, the Coombs-type scaling and the Guttman-type quantification. Some mathematical relations of several methods within the Guttman-type methods are presented, showing them to be mathematically equivalent. Then, the Guttman-type and the Coombs-type approaches are discussed in terms of their similarities and differences. The total information contained in ordinal data and the assessment of information accounted for by each component are discussed, with the final section on an application of the Guttman-type quantification (dual scaling) to real data. It was emphasized that dual scaling of ordinal data can be an effective means for research in market segmentation.
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Nishisato, S. (2000). A Characterization of Ordinal Data. In: Gaul, W., Opitz, O., Schader, M. (eds) Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58250-9_23
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DOI: https://doi.org/10.1007/978-3-642-58250-9_23
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