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Multi-aspect local inference for functional data: Analysis of ultrasound tongue profiles
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0001-9235-3062
2019 (English)In: Journal of Multivariate Analysis, ISSN 0047-259X, E-ISSN 1095-7243, Vol. 170, p. 162-185Article in journal (Refereed) Published
Abstract [en]

Motivated by the analysis of a dataset of ultrasound tongue profiles, we present multi-aspect interval-wise testing (IWT), i.e., a local nonparametric inferential technique for functional data embedded in Sobolev spaces. Multi-aspect IWT is a nonparametric procedure that tests differences between groups of functional data, jointly taking into account the curves and their derivatives. Multi-aspect IWT provides adjusted multi-aspect p-value functions that can be used to select intervals of the domain that are imputable for the rejection of a null hypothesis. As a result, it can impute the rejection of a functional null hypothesis to specific intervals of the domain and to specific orders of differentiation. We show that the multi-aspect p-value functions are provided with a control of the family wise error rate and that they are consistent. We apply multi-aspect IWT to the analysis of a dataset of tongue profiles recorded for a study on Tyrolean, a German dialect spoken in South Tyrol. We test differences between five different ways of articulating the uvular /r/: vocalized /r/, approximant, fricative, tap, and trill. Multi-aspect IWT-based comparisons result in an informative and detailed representation of the regions of the tongue where a significant difference occurs. 

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 170, p. 162-185
Keywords [en]
Articulatory phonetics, Derivatives, Functional data analysis, Inference, Interval-wise error rate
National Category
Business Administration
Identifiers
URN: urn:nbn:se:umu:diva-156580DOI: 10.1016/j.jmva.2018.11.006ISI: 000457205300012OAI: oai:DiVA.org:umu-156580DiVA, id: diva2:1291082
Available from: 2019-02-22 Created: 2019-02-22 Last updated: 2019-02-22Bibliographically approved

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Pini, Alessia

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf