Multilevel nonlinearity study design

Maarten H. Lamers*, Joost N. Kok, Erik Lebret

*Corresponding author for this work

Research output: Contribution to conferencePaperAcademic

Abstract

Multilevel models are designed to deal with studies on data that contain hierarchical structures and are becoming increasingly important in many fields of research. Since they are limited to parametric models, in practice only linear multilevel models are used. We present a nonlinear multilevel approach to investigate nonlinearity in relations. This model is based on nonlinear feed-forward networks. Furthermore, the proposed multilevel model enables us to study how errors in measurements may obscure nonlinear relations. An imaginary dataset was generated as an example, based on an epidemiological model, and with this dataset the effect of noise on nonlinear relations was studied, using the proposed multilevel model. This simulation confirms the applicability of the multilevel nonlinearity study and indicates strong obscuring of nonlinearity due to noise.

Original languageEnglish
Pages730-734
Number of pages5
Publication statusPublished - 1998
EventProceedings of the 1998 IEEE International Joint Conference on Neural Networks. Part 1 (of 3) - Anchorage, AK, USA
Duration: 4 May 19989 May 1998

Conference

ConferenceProceedings of the 1998 IEEE International Joint Conference on Neural Networks. Part 1 (of 3)
CityAnchorage, AK, USA
Period4/05/989/05/98

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