A Novel Approach to Evaluate Repeatability and Reproducibility for Ordinal Data

We propose a novel usage of CUB models in order to evaluate Repeatability and Reproducibility (R&R) for ordinal data in business and industrial experiments. This is a context where there is a small group of appraisers who have to evaluate a sample of objects classifying them according to ordinal...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2014-02, Vol.43 (4), p.851-866
Main Authors: Deldossi, Laura, Zappa, Diego
Format: Article
Language:English
Subjects:
62-F10
62-F40
62-K99
Business
Categories
Classification
CUB models
Gauge capability
Mathematical analysis
Measurement system analysis
Ordinal data
Quality control
Repeatability
Reproducibility
Samples
Statistics
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Summary:We propose a novel usage of CUB models in order to evaluate Repeatability and Reproducibility (R&R) for ordinal data in business and industrial experiments. This is a context where there is a small group of appraisers who have to evaluate a sample of objects classifying them according to ordinal categories. By comparing the cumulative distribution functions obtained fitting CUB models to judgments given by appraisers, we give both graphical and analytical instruments to assess R&R for an ordinal measurement system. The approach is applied to the real-life example reported in de Mast and van Wieringen ( 2010 ).
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2013.823208