Optimal Scaling of Paired Comparison and Rank Order Data: An Alternative to Guttman's Formulation
- 1 June 1978
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 43 (2) , 263-271
- https://doi.org/10.1007/bf02293868
Abstract
A formulation, which is different from Guttman's is presented. The two formulations are both called the optimal scaling approach, and are proven to provide identical scale values. The proposed formulation has at least two advantages over Guttman's. Namely, (i) the former serves to clarify close relations of the optimal scaling approach to those of Slater and the vector model of preferential choice, and (ii) in addition to the stimulus scale values, it provides scores for the subjects, which indicate the degrees of response consistency (transitivity), relative to the optimum solution. The method is assumption-free and capable of multidimensional analysis.Keywords
This publication has 10 references indexed in Scilit:
- A Scalar Product Model for the Multidimensional Scaling of ChoicePsychometrika, 1971
- Note on multidimensional quantification of data obtained by paired comparisonAnnals of the Institute of Statistical Mathematics, 1967
- Some distance properties of latent root and vector methods used in multivariate analysisBiometrika, 1966
- Multidimensional quantification of the data obtained by the method of paired comparisonAnnals of the Institute of Statistical Mathematics, 1964
- THE ANALYSIS OF PERSONAL PREFERENCESBritish Journal of Statistical Psychology, 1960
- An Approach for Quantifying Paired Comparisons and Rank OrderThe Annals of Mathematical Statistics, 1946
- MEASUREMENT OF ASSOCIATION IN A CONTINGENCY TABLE WITH SPECIAL REFERENCE TO THE PIGMENTATION OF HAIR AND EYE COLOURS OF SCOTTISH SCHOOL CHILDRENAnnals of Eugenics, 1941
- THE PRECISION OF DISCRIMINANT FUNCTIONSAnnals of Eugenics, 1940
- Measuring Complex AttitudesThe Journal of Social Psychology, 1935
- A Connection between Correlation and ContingencyMathematical Proceedings of the Cambridge Philosophical Society, 1935