Optimal scaling for association models when category scores have a natural ordering |
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Institution: | 1. Department of Electrical Engineering and Information Technologies, University of Naples Federico II, Naples 80125, Italy;2. Institute for High Performance Computing and Networking (ICAR), National Research Council, Naples, Italy |
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Abstract: | Association models considered by Goodman (1979) for the analysis of contingency tables with ordered categories can provide the scores of row and/or column categories. If there exist natural ordering among the scores in the population, the estimated scores would be required to coincide with the prescribed order.In this article, we propose the methods for deriving maximum likelihood (ML) estimates when the category scores are subject to restrictions. |
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