The categorical data analysis approach for ratio model of pairwise comparisons |
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| Institution: | 1. DRM Finance, Université Paris Dauphine, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France;2. IPAG Business School (IPAG Lab), 184 Boulevard Saint-Germain, 75006 Paris, France;3. Université Paris 8 (LED), 2 rue de la Liberté, 93526 Saint-Denis Cedex, France;1. Resident, Department of Oral and Maxillofacial–Head and Neck Oncology, Shanghai Ninth People''s Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatology, Shanghai, China;2. Associate Chief Physician, Department of Stomatology, Shanghai Tenth People''s Hospital Affiliated to Tongji University, Shanghai, China;3. Resident, Department of Oral and Maxillofacial–Head and Neck Oncology, Shanghai Ninth People''s Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatology, Shanghai, China;4. Attending Physician, Department of Oral and Maxillofacial–Head and Neck Oncology, Shanghai Ninth People''s Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatology, Shanghai, China;6. Associate Chief Physician, Department of Stomatology, Shanghai Tenth People''s Hospital Affiliated to Tongji University, Shanghai, China;5. Associate Chief Physician, Department of Oral and Maxillofacial–Head and Neck Oncology, Shanghai Ninth People''s Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatology, Shanghai, China;1. Business School, Nanjing Normal University, Nanjing, China;2. Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, Sk-810 05 Bratislava, Slovakia;3. Palacky Univ Olomouc, Fac Sci, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic;4. Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, United States of America;1. UNSW Water Research Centre, The University of New South Wales, UNSW Sydney, NSW 2052, Australia;2. ISA, School of Physics, A28, The University of Sydney, NSW 2006, Australia;1. School of Business Administration, Northeastern University, Shenyang, Liaoning, 110819, China;2. Northeastern University at Qinhuangdao, Qinhuangdao, 066004, China;1. College of Communications Engineering, PLA University of Science and Technology, Nanjing, Jiangsu 210007, China;2. Business School, Sichuan University, Chengdu 610064, China |
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| Abstract: | In the Analytic Hierarchy Process (AHP), pairwise comparison values are elicited by a ratio scale representing a set of categories. In this article, we propose a method of statistical inference in AHP which pertains to cardinal representations of categorical variables. Relevant estimation and hypothesis testing procedures are addressed in this perspective. |
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