Measurement System Analysis for Bounded Ordinal Data

Jeroen de Mast · Wessel N. van Wieringen

27 citations0/0 files storedQuality and Reliability Engineering International

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Reliability and Agreement in Measurement Psychometric Methodologies and Testing Advanced Statistical Process Monitoring

Abstract

Abstract The precision of a measurement system is the consistency across multiple measurements of the same object. This paper studies the evaluation of the precision of measurement systems that measure on a bounded ordinal scale. A bounded ordinal scale consists of a finite number of categories that have a specific order. Based on an inventory of methods for the evaluation of precision for other types of measurement scales, the article proposes two approaches. The first approach is based on a latent variable model and is a variant of the intraclass correlation method. The second approach is a non‐parametric approach, the results of which are, however, rather difficult to interpret. The approaches are illustrated with an artificial data set and an industrial data set. Copyright © 2004 John Wiley & Sons, Ltd.

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References

1960A Coefficient of Agreement for Nominal Scales 1979Intraclass correlations: Uses in assessing rater reliability.1968Weighted kappa: Nominal scale agreement provision for scaled disagreement or partial credit.1969Statistical Theories of Mental Test Scores 1967Foundations of Behavioral Research 1951Rank Correlation Methods.1979Introduction to Measurement Theory 1980Integration and generalization of kappas for multiple raters.

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