Relationships between the Thurstone, Coombs, and Rasch approaches to item scaling

No Thumbnail Available

View/Download File

Persistent link to this item

Statistics
View Statistics

Journal Title

Journal ISSN

Volume Title

Title

Relationships between the Thurstone, Coombs, and Rasch approaches to item scaling

Published Date

1984

Publisher

Type

Article

Abstract

Andrich (1978) derived a formal equivalency between Thurstone’s Case V specialization of the law of comparative judgment for paired comparisons, with a logistic function substituted for the normal, and the Rasch model for direct responses. The equivalency was corroborated by a specific substantial-psychological interpretation of the Rasch binary item response probability. Studying the relationships between the Thurstone and Rasch models from another perspective than Andrich’s, namely, from a data-theoretical point of view, it appears that the equivalency is based on an implicit assumption with respect to the subject population. This assumption (1) is rather restrictive, and therefore its empirical validity seems to be low, and (2) seems to contradict the substantial reasoning corroborating the Thurstone-Rasch equivalency. It is argued that the Thurstone model cannot be considered the sample-independent pair comparison counterpart of the Rasch model. An alternative pair comparison equivalent of the Rasch model is tentatively proposed. Finally, the theoretical and practical implications of Andrich’s and of the present study are discussed.

Keywords

Description

Related to

Replaces

License

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Jansen, Paul G. (1984). Relationships between the Thurstone, Coombs, and Rasch approaches to item scaling. Applied Psychological Measurement, 8, 373-383. doi:10.1177/014662168400800401

Suggested citation

Jansen, Paul G. W.. (1984). Relationships between the Thurstone, Coombs, and Rasch approaches to item scaling. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/101952.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.