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Entropy 2015, 17(7), 5117-5132; doi:10.3390/e17075117

An Entropy-Based Approach to Path Analysis of Structural Generalized Linear Models: A Basic Idea

1
Department of Biostatistics, Faculty of Medicine, Oita University, Oita 879-5593, Japan
2
Department of Mathematical Sciences, Graduate School of Engineering, Osaka Prefecture University, Osaka 599-8531, Japan
3
Department of Statistics and Quantitative Methods, University of Milano Bicocca, via Bicocca degli Arcimboldi 8, Milano 20126, Italy
4
Division of Mathematical Science, Graduate School of Engineering Science, Osaka University, Osaka 560-8531, Japan
*
Author to whom correspondence should be addressed.
Academic Editor: Ali E. Abbas
Received: 11 May 2015 / Revised: 7 July 2015 / Accepted: 17 July 2015 / Published: 22 July 2015
(This article belongs to the Special Issue Entropy, Utility, and Logical Reasoning)
View Full-Text   |   Download PDF [737 KB, uploaded 22 July 2015]   |  

Abstract

A path analysis method for causal systems based on generalized linear models is proposed by using entropy. A practical example is introduced, and a brief explanation of the entropy coefficient of determination is given. Direct and indirect effects of explanatory variables are discussed as log odds ratios, i.e., relative information, and a method for summarizing the effects is proposed. The example dataset is re-analyzed by using the method. View Full-Text
Keywords: direct effect; entropy coefficient of determination; generalized linear model; indirect effect; log odds ratio direct effect; entropy coefficient of determination; generalized linear model; indirect effect; log odds ratio
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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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Eshima, N.; Tabata, M.; Borroni, C.G.; Kano, Y. An Entropy-Based Approach to Path Analysis of Structural Generalized Linear Models: A Basic Idea. Entropy 2015, 17, 5117-5132.

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