Linear Models Methods for Some Rank Function Analyses of Ordinal Categorical Data
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 12 (11) , 1277-1298
- https://doi.org/10.1080/03610928308828531
Abstract
This paper is concerned with the analysis of ordinal data through linear models for rank function measures.Primary attention is directed at pairwise Mann-Whitney statistics for which dimension reduction is managed by use of a Bradley-Terry log-linear structure.The nature of linear models for such quantities is contrasted with that for mean ranks (or ridits).Aspects of application are illustrated with an example for which results of other methods are also given.Keywords
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