On Modelling Agreement and Category Distinguishability on an Ordinal Scale |
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Authors: | Lianyan Fu Man-Lai Tang Ning-Zhong Shi |
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Institution: | 1. School of Mathematics and Statistics , Northeast Normal University , Jilin , China;2. School of Economics , Liaoning University , Shenyang , Liaoning , China;3. Department of Mathematics , Hong Kong Baptist University , Kowloon Tong , Hong Kong;4. School of Mathematics and Statistics , Northeast Normal University , Jilin , China |
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Abstract: | It is quite common that raters may need to classify a sample of subjects on a categorical scale. Perfect agreement can rarely be observed partly because of different perceptions about the meanings of the category labels between raters and partly because of factors such as intrarater variability. Usually, category indistinguishability occurs between adjacent categories. In this article, we propose a simple log-linear model combining ordinal scale information and category distinguishability between ordinal categories for modelling agreement between two raters. For the proposed model, no score assignment is required to the ordinal categories. An algorithm and statistical properties will be provided. |
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Keywords: | Category distinguishability Diagonal-Parameter Symmetry Model Log-linear models Ordinal categories |
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