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Paper No. 08-25

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JAD Aston, Jeng-Min Chiou and JE Evans

Linguistic Pitch Analysis using Functional Principal Component Mixed Effect Models

Date: October 2008

Abstract: Fundamental frequency (F0, broadly \pitch") is an integral part of human language; however, a comprehensive quantitative model for F0 can be a challenge to formulate due to the large number of effects and interactions between effects that lie behind the human voice's production of F0, and the very nature of the data being a contour rather than a point. This paper presents a semi-parametric functional response model for F0 by incorporating linear mixed effects models through the functional principal component scores. This model is applied to the problem of modelling F0 in the tone language Qiang, a language in which relative pitch information is part of each word's dictionary entry.

Keywords: Phonetics; Fundamental Frequency; Random Effect Models; Principal Component Analysis; Functional Response Models.