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Unifying Amplitude and Phase Analysis: A Compositional Data Approach to Functional Multivariate Mixed-Effects Modeling of Mandarin Chinese.


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Authors

Hadjipantelis, PZ 
Aston, JAD 
Müller, HG 
Evans, JP 

Abstract

Mandarin Chinese is characterized by being a tonal language; the pitch (or F0) of its utterances carries considerable linguistic information. However, speech samples from different individuals are subject to changes in amplitude and phase, which must be accounted for in any analysis that attempts to provide a linguistically meaningful description of the language. A joint model for amplitude, phase, and duration is presented, which combines elements from functional data analysis, compositional data analysis, and linear mixed effects models. By decomposing functions via a functional principal component analysis, and connecting registration functions to compositional data analysis, a joint multivariate mixed effect model can be formulated, which gives insights into the relationship between the different modes of variation as well as their dependence on linguistic and nonlinguistic covariates. The model is applied to the COSPRO-1 dataset, a comprehensive database of spoken Taiwanese Mandarin, containing approximately 50,000 phonetically diverse sample F0 contours (syllables), and reveals that phonetic information is jointly carried by both amplitude and phase variation. Supplementary materials for this article are available online.

Description

Keywords

Functional data analysis, Linguistics, Multivariate linear mixed models, Phonetic analysis, Registration

Journal Title

J Am Stat Assoc

Conference Name

Journal ISSN

0162-1459
1537-274X

Volume Title

110

Publisher

Informa UK Limited
Sponsorship
Engineering and Physical Sciences Research Council (EP/K021672/2)
JADA’s research was supported by the Engineering and Physical Sciences Research Council [EP/K021672/2]. HGM’s research was supported by NSF grants DMS-1104426 and DMS-1228369. JPE’s research was supported by National Science Council (Taiwan) grant NSC 100-2628-H-001-008-MY4.