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Partial possibilistic regression path modeling. (English) Zbl 1366.62154

Abdi, Hervé (ed.) et al., The multiple facets of partial least squares methods. PLS, Paris, France, May 26–28, 2014. Cham: Springer (ISBN 978-3-319-40641-1/hbk; 978-3-319-40643-5/ebook). Springer Proceedings in Mathematics & Statistics 173, 155-168 (2016).
Summary: This paper introduces structural equation modeling for imprecise data, which enables evaluations with different types of uncertainty. Coming under the framework of variance-based analysis, the proposed method called Partial Possibilistic Regression Path Modeling (PPRPM) combines the principles of PLS path modeling to model the network of relations among the latent concepts, and the principles of possibilistic regression to model the vagueness of the human perception. Possibilistic regression defines the relation between variables through possibilistic linear functions and considers the error due to the vagueness of human perception as reflected in the model via interval-valued parameters. PPRPM transforms the modeling process into minimizing components of uncertainty, namely randomness and vagueness. A case study on the motivational and emotional aspects of teaching is used to illustrate the method.
For the entire collection see [Zbl 1356.62003].

MSC:

62J86 Fuzziness, and linear inference and regression
62J05 Linear regression; mixed models
62P15 Applications of statistics to psychology
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References:

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