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Constructing a Measurement Method of Differences in Group Preferences Based on Relative Entropy

Management College, Beijing Union University, Beijing 100101, China
International business school, University of International Business and Economics, Beijing 100029, China
Institute of Transportation Engineering, Tsinghua University, Beijing 100084, China
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Entropy 2017, 19(1), 24;
Received: 13 November 2016 / Revised: 29 December 2016 / Accepted: 3 January 2017 / Published: 6 January 2017
PDF [243 KB, uploaded 6 January 2017]


In the research and data analysis of the differences involved in group preferences, conventional statistical methods cannot reflect the integrity and preferences of human minds; in particular, it is difficult to exclude humans’ irrational factors. This paper introduces a preference amount model based on relative entropy theory. A related expansion is made based on the characteristics of the questionnaire data, and we also construct the parameters to measure differences in the data distribution of different groups on the whole. In this paper, this parameter is called the center distance, and it effectively reflects the preferences of human minds. Using the survey data of securities market participants as an example, this paper analyzes differences in market participants’ attitudes toward the effectiveness of securities regulation. Based on this method, differences between groups that were overlooked by analysis of variance are found, and certain aspects obscured by general data characteristics are also found. View Full-Text
Keywords: relative entropy; preferences; group; difference; securities regulation relative entropy; preferences; group; difference; securities regulation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Zhang, S.; Liu, W.; He, Q.; Hao, X. Constructing a Measurement Method of Differences in Group Preferences Based on Relative Entropy. Entropy 2017, 19, 24.

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