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Authors: Oleg V. Senko 1 ; Dmitry S. Dzyba 2 ; Ekaterina A. Pigarova 3 ; Liudmila Ya. Rozhinskaya 3 and Anna V. Kuznetsova 4

Affiliations: 1 Russian Academy of Sciences, Russian Federation ; 2 Lomonosov Moscow State University, Russian Federation ; 3 Endocrinology Research Centre, Russian Federation ; 4 Emanuel Institute of Biochemical Physics and, Russian Federation

Keyword(s): Regression Model, Optimal Complexity, Permutation Test.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Business Analytics ; Data Analytics ; Data Engineering ; Foundations of Knowledge Discovery in Databases ; Knowledge Discovery and Information Retrieval ; Knowledge-Based Systems ; Symbolic Systems

Abstract: A method for evaluating optimal complexity of regression models is discussed. It is supposed that complicated model must be used only when any simple model fails describe exhaustively regularity that exists in data. At that null hypothesis about exhaustive explanation of data by simple regularity is tested with the help of complicated model. Validity of null hypothesis is evaluated with the help p-value that is calculated with the help of special version of permutation test. An application is discussed where developed technique is used to evaluate if more complicated piecewise-linear regressions must be used instead of simple regressions to describe correctly dependence of parathyroid hormone on vitamin D status.

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Paper citation in several formats:
V. Senko, O.; S. Dzyba, D.; A. Pigarova, E.; Ya. Rozhinskaya, L. and V. Kuznetsova, A. (2014). A Method for Evaluating Validity of Piecewise-linear Models. In Proceedings of the International Conference on Knowledge Discovery and Information Retrieval (IC3K 2014) - KDIR; ISBN 978-989-758-048-2; ISSN 2184-3228, SciTePress, pages 437-443. DOI: 10.5220/0005156904370443

@conference{kdir14,
author={Oleg {V. Senko}. and Dmitry {S. Dzyba}. and Ekaterina {A. Pigarova}. and Liudmila {Ya. Rozhinskaya}. and Anna {V. Kuznetsova}.},
title={A Method for Evaluating Validity of Piecewise-linear Models},
booktitle={Proceedings of the International Conference on Knowledge Discovery and Information Retrieval (IC3K 2014) - KDIR},
year={2014},
pages={437-443},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005156904370443},
isbn={978-989-758-048-2},
issn={2184-3228},
}

TY - CONF

JO - Proceedings of the International Conference on Knowledge Discovery and Information Retrieval (IC3K 2014) - KDIR
TI - A Method for Evaluating Validity of Piecewise-linear Models
SN - 978-989-758-048-2
IS - 2184-3228
AU - V. Senko, O.
AU - S. Dzyba, D.
AU - A. Pigarova, E.
AU - Ya. Rozhinskaya, L.
AU - V. Kuznetsova, A.
PY - 2014
SP - 437
EP - 443
DO - 10.5220/0005156904370443
PB - SciTePress

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