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Remarks on the Method of Paired Comparisons: I. The Least Squares Solution Assuming Equal Standard Deviations and Equal Correlations
Abstract
Thurstone's Case V of the method of paired comparisons assumes equal standard deviations of sensations corresponding to stimuli and zero correlations between pairs of stimuli sensations. It is shown that the assumption of zero correlations can be relaxed to an assumption of equal correlations between pairs with no change in method. Further the usual approach to the method of paired comparisons Case V is shown to lead to a least squares estimate of the stimulus positions on the sensation scale.
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Cited by
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Metadata
- Authors
- Mosteller, F.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1951-03
- Volume
- 16
- Issue
- 1
- Pages
- 3-9
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2089163864
- Cited by
- 343
- References
- 0
- FWCI
- 9.44
- Type
- journal article
- Language
- en
- Open access
- closed
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- The paper
- Mosteller, F. (1951). Remarks on the Method of Paired Comparisons: I. The Least Squares Solution Assuming Equal Standard Deviations and Equal Correlations. Psychometrika. https://doi.org/10.1007/bf02313422
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
