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

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 r...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2015-07, Vol.17 (12), p.5117-5132
Main Authors: Eshima, Nobuoki, Tabata, Minoru, Borroni, Claudio, Kano, Yutaka
Format: Article
Language:English
Subjects:
direct effect
entropy coefficient of determination
generalized linear model
indirect effect
log odds ratio
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Summary: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e17075117