Modelling the reliability of paired comparisons |
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| Affiliation: | 1. Ontario Cancer Institute, Canada;2. University of Toronto Canada;1. Centre for Mobile Cloud Computing Research (C4MCCR), Faculty of Computer Science and Information Technology, University of Malaya, 50603 Kuala Lumpur, Malaysia;2. Information Security & Network Research Group, School of Computing, Communications and Electronics, University of Plymouth, Plymouth, United Kingdom;3. Applied Security Engineering Research Group, Dept. of Computer Science, COMSATS Institute of Information Technology, Pakistan;4. Center of Excellence in Information Assurance (CoEIA), King Saud University, Saudi Arabia;1. Department of General Psychology, University of Padua, Padua, Italy;2. Department of Psychology, California State University, Los Angeles, USA;3. FISPPA Department, University of Padua, Padua, Italy;1. University of Milano-Bicocca, Milan, Italy;2. IRCCS San Camillo Hospital, Venice, Italy;3. University of Trento, Trento, Italy;4. Padova Neuroscience Center, University of Padova, Italy;1. Department of Psychology, University of Oslo, Norway;2. Instituto Universitário de Lisboa (ISCTE-IUL), Centro de Investigação e Intervenção Social, Portugal;3. Department of Psychology, National University of Singapore, Singapore;1. C’MoN, Cognition, Motion and Neuroscience Unit, Fondazione Istituto Italiano di Tecnologia, Genova, Italy;2. Department of Psychology, University of Torino, Torino, Italy;3. Department of Psychology, Stanford University, Stanford, CA, USA |
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| Abstract: | This paper considers paired comparison experiments for which weights describing the reliability of the comparisons are available. Such a weight can be represented by a belief function as defined by G. Shafer in A Mathematical Theory of Evidence (Princeton, NJ: Princeton Univ. Press, 1976). We develop a belief function analysis for this case, and discuss the interpretation of such an analysis and the conditions for its validity. |
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