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A measure of asymmetry for ordinal square contingency tables with an application to modified LANZA score data
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- Satoru Shinoda
- Clinical Data Science Development Headquarters, Taisho Pharmaceutical Co., Ltd., Toshima-ku, Tokyo, Japan
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- Kouji Yamamoto
- Department of Biostatistics, School of Medicine, Yokohama City University, Yokohama City, Kanagawa, Japan
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- Kouji Tahata
- Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, Japan
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- Sadao Tomizawa
- Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, Japan
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Description
In clinical researches, various clinical scales with ordered categories are used to evaluate the efficacy and safety/toxicity of treatments. Such the clinical scales are sometimes summarized on the transition between the baseline and the study end point as a square contingency table. Also, clinical scales may be reclassified into three groups. However, the cutpoints can be varied depending on clinical researches or clinicians. Hence, this paper proposes a measure which is expressed by using same weights for collapsed tables and which can see the directionality for two kinds of asymmetries. Also, this paper shows an application of the proposed measure to clinical data, and that the proposed measure is a useful statistical method for analyzing ordered categorical data.
Journal
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- Journal of Applied Statistics
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Journal of Applied Statistics 47 (7), 1251-1260, 2019-10-04
Informa UK Limited
