- Title
- SL-model for paired comparisons
- Creator
- Sjölander, Morné Rowan
- Subject
- Paired comparisons (Statistics)
- Subject
- Mathematical statistics
- Date Issued
- 2006
- Date
- 2006
- Type
- Thesis
- Type
- Masters
- Type
- MSc
- Identifier
- vital:10574
- Identifier
- http://hdl.handle.net/10948/605
- Identifier
- Paired comparisons (Statistics)
- Identifier
- Mathematical statistics
- Description
- The method of paired comparisons can be found all the way back to 1860, where Fechner made the first publication in this method, using it for his psychometric investigations [4]. Thurstone formalised the method by providing a mathematical background to it [9-11] and in 1927 the method’s birth took place with his psychometric publications, one being “a law of comparative judgment” [12-14]. The law of comparative judgment is a set of equations relating the proportion of times any stimulus k is judged greater on a given attribute than any other stimulus j to the scales and discriminal dispersions of the two stimuli on the psychological continuum. The amount of research done for discrete models of paired comparisons is not a lot. This study develops a new discrete model, the SL-model for paired comparisons. Paired comparisons data processing in which objects have an upper limit to their scores was also not yet developed, and making such a model is one of the aims of this report. The SLmodel is thus developed in this context; however, the model easily generalises to not necessarily having an upper limit on scores.
- Format
- 350 leaves ; 30 cm
- Format
- Publisher
- Nelson Mandela Metropolitan University
- Publisher
- Faculty of Science
- Language
- English
- Rights
- Nelson Mandela Metropolitan University
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NMMU School of Computer Science, Mathematics, Physics and Statistics
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