Abstract:
:Subjective judgements of complex variables are commonly recorded as ordered categorical data. The rank-invariant properties of such data are well known, and there are various statistical approaches to the analysis and modelling of ordinal data. This paper focuses on the non-additive property of ordered categorical data in the analysis of change. A rank-invariant non-parametric method of analysis is presented that is valid regardless of the number of response categories. The unique feature of this method is the augmented ranking approach that is related to the joint distribution of paired observations. This approach makes it possible to measure separately the individual order-preserved categorical changes, which are attributable to the group change, and the individual categorical changes that are not consistent with the pattern of group change. The method is applied to analysis of change in a three-point scale and in a visual analogue scale of continuous ordinal responses.
journal_name
Stat Medjournal_title
Statistics in medicineauthors
Svensson Edoi
10.1002/(sici)1097-0258(19981230)17:24<2923::aid-ssubject
Has Abstractpub_date
1998-12-30 00:00:00pages
2923-36issue
24eissn
0277-6715issn
1097-0258pii
10.1002/(SICI)1097-0258(19981230)17:24<2923::AID-Sjournal_volume
17pub_type
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