Ordinal invariant measures for individual and group changes in ordered categorical data.

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 Med

journal_title

Statistics in medicine

authors

Svensson E

doi

10.1002/(sici)1097-0258(19981230)17:24<2923::aid-s

subject

Has Abstract

pub_date

1998-12-30 00:00:00

pages

2923-36

issue

24

eissn

0277-6715

issn

1097-0258

pii

10.1002/(SICI)1097-0258(19981230)17:24<2923::AID-S

journal_volume

17

pub_type

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