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Mandarin Chinese is characterized by being a tonal language; the pitch (or$F_0$) of its utterances carries considerable linguistic information. However,speech samples from different individuals are subject to changes in amplitudeand phase which must be accounted for in any analysis which attempts to providea linguistically meaningful description of the language. A joint model foramplitude, phase and duration is presented which combines elements fromFunctional Data Analysis, Compositional Data Analysis and Linear Mixed EffectsModels. By decomposing functions via a functional principal component analysis,and connecting registration functions to compositional data analysis, a jointmultivariate mixed effect model can be formulated which gives insights into therelationship between the different modes of variation as well as theirdependence on linguistic and non-linguistic covariates. The model is applied tothe COSPRO-1 data set, a comprehensive database of spoken Taiwanese Mandarin,containing approximately 50 thousand phonetically diverse sample $F_0$ contours(syllables), and reveals that phonetic information is jointly carried by bothamplitude and phase variation.

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