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An overview of methods in the analysis of dependent ordered categorical data: assumptions and implications
Örebro University, Swedish Business School at Örebro University.
Örebro University, Swedish Business School at Örebro University.ORCID iD: 0000-0001-7210-1925
2008 (English)Report (Other academic)
Abstract [en]

Subjective assessments of pain, quality of life, ability etc. measured by rating scales and questionnaires are common in clinical research. The resulting responses are categorical with an ordered structure and the statistical methods must take account of this type of data structure. In this paper we give an overview of methods for analysis of dependent ordered categorical data and a comparison of standard models and measures with nonparametric augmented rank measures proposed by Svensson. We focus on assumptions and issues behind model specifications and data as well as implications of the methods. First we summarise some fundamental models for categorical data and two main approaches for repeated ordinal data; marginal and cluster-specific models. We then describe models and measures for application in agreement studies and finally give a summary of the approach of Svensson. The paper concludes with a summary of important aspects.

Place, publisher, year, edition, pages
Örebro: Örebro universitet , 2008. , p. 33
Series
Working paper series, Swedish business school at Örebro, ISSN 1403-0586 ; 7
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
URN: urn:nbn:se:oru:diva-12664OAI: oai:DiVA.org:oru-12664DiVA, id: diva2:374839
Available from: 2010-12-06 Created: 2010-12-06 Last updated: 2017-10-17Bibliographically approved
In thesis
1. Some properties of measures of disagreement and disorder in paired ordinal data
Open this publication in new window or tab >>Some properties of measures of disagreement and disorder in paired ordinal data
2010 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The measures studied in this thesis were a measure of disorder, D, and a measure of the individual part of the disagreement, the measure of relative rank variance, RV, proposed by Svensson in 1993. The measure of disorder is a useful measure of order consistency in paired assessments of scales with a different number of possible values. The measure of relative rank variance is a useful measure in evaluating reliability and for evaluating change in qualitative outcome variables.

In Paper I an overview of methods used in the analysis of dependent ordinal data and a comparison of the methods regarding the assumptions, specifications, applicability, and implications for use were made. In Paper II an application, and a comparison of the results of some standard models, tests, and measures to two different research problems were made. The sampling distribution of the measure of disorder was studied both analytically and by a simulation experiment in Paper III. The asymptotic normal distribution was shown by the theory of U-statistics and the simulation experiments for finite sample sizes and various amount of disorder showed that the sampling distribution was approximately normal for sample sizes of about 40 to 60 for moderate sizes of D and for smaller sample sizes for substantial sizes of D. The sampling distribution of the relative rank variance was studied in a simulation experiment in Paper IV. The simulation experiment showed that the sampling distribution was approximately normal for sample sizes of 60-100 for moderate size of RV, and for smaller sample sizes for substantial size of RV. In Paper V a procedure for inference regarding relative rank variances from two or more samples was proposed. Pair-wise comparison by jackknife technique for variance estimation and the use of normal distribution as approximation in inference for parameters in independent samples based on the results in Paper IV were demonstrated. Moreover, an application of Kruskal-Wallis test for independent samples and Friedman’s test for dependent samples were conducted.

Place, publisher, year, edition, pages
Örebro: Örebro university, 2010. p. 38
Series
Örebro Studies in Statistics, ISSN 1651-8608 ; 4
Keywords
agreement, augmented ranks, categorical data, disorder, jackknife, paired ordinal data, rating scales, sample size, sampling distribution, simulation, U-statistics, variance
National Category
Social Sciences Probability Theory and Statistics
Research subject
Statistics
Identifiers
urn:nbn:se:oru:diva-12350 (URN)978-91-7668-769-7 (ISBN)
Public defence
2010-12-17, Örebro universitet, Hörsal M, Fakultetsgatan 1, Örebro, 13:15 (Swedish)
Opponent
Supervisors
Projects
Statistical methods for ordinal data
Available from: 2010-10-28 Created: 2010-10-28 Last updated: 2017-10-17Bibliographically approved

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http://www.oru.se/PageFiles/15377/wp2008-07.pdf

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Högberg, HansSvensson, Elisabeth

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Citation style
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