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Behaviormetrika
Article . 2015 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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Fuzzy Clusterwise Functional Extended Redundancy Analysis

Authors: Tianyu Tan; Ji Yeh Choi; Heungsun Hwang;

Fuzzy Clusterwise Functional Extended Redundancy Analysis

Abstract

Functional data refer to data that are assumed to be generated from an underlying smooth function varying over a continuum such as time or space. Functional linear models (FLMs) and functional extended redundancy analysis (FERA) are major regression analysis methods for investigating directional associations between predictor and dependent variables that can be functional In practice, functional data may often arise from heterogeneous subgroups of the population, which involve distinctive directional relationships between predictor and dependent variables. When such cluster-level heterogeneity is present, ignoring this heterogeneity would likely lead to biased statistical inferences. FLMs have been extended to capture cluster-level heterogeneity. Conversely, there has been no attempt to take into account cluster-level heterogeneity in FERA. In this paper, we propose to extend FERA to accommodate cluster-level heterogeneity by combining the method with fuzzy clusterwise regression (FCR) into a unified framework. The proposed method, called fuzzy clusterwise functional extended redundancy analysis (FCFERA), aims to estimate fuzzy memberships of individuals and clusterwise regression coefficient functions at the same time. A penalized least squares criterion is minimized to estimate these parameters by adopting an alternating least squares algorithm in combination with basis function expansions. We conduct simulation studies to investigate the performance of the proposed method. We also apply this method to real data to demonstrate its empirical usefulness.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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