Abstract
The traditional quantification procedure (e.g., dual scaling, correspondence analysis) is extended in order to tap into information which is typically ignored. Noting that the traditional symmetric scaling yields a visual image of distorted data structure and recalling that the widely used practice of looking at data in reduced space may also miss capturing rare but key-information in total space, a method, called total information analysis (TIA), is proposed to subject not only within-set but also between-set relations in total space. Numerical examples are used to explain why TIA offers partial solutions to some theoretical problems inherent in the current practice of multidimensional quantification analysis.
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Nishisato, S., Clavel, J.G. Total Information Analysis: Comprehensive Dual Scaling. Behaviormetrika 37, 15–32 (2010). https://doi.org/10.2333/bhmk.37.15
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DOI: https://doi.org/10.2333/bhmk.37.15