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Related Concept Videos

Expected Frequencies in Goodness-of-Fit Tests01:19

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A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n) to the number of categories (k).
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Related Experiment Video

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Comparing the Frequency Effect Between the Lexical Decision and Naming Tasks in Chinese
08:08

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Published on: April 1, 2016

Characterizing fundamental frequency in Mandarin: a functional principal component approach utilizing mixed effect

Pantelis Z Hadjipantelis1, John A D Aston, Jonathan P Evans

  • 1Centre for Complexity Science and Department of Statistics, University of Warwick, Coventry CV4 7AL, United Kingdom.

The Journal of the Acoustical Society of America
|June 21, 2012
PubMed
Summary

This study introduces a new model for analyzing pitch (fundamental frequency) in Mandarin Chinese using functional principal component analysis. The findings confirm known tonal patterns and reveal a novel sinusoidal tonal component.

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Area of Science:

  • Linguistics
  • Acoustics
  • Data Science

Background:

  • Mandarin Chinese is a tonal language where pitch contours significantly alter word meaning.
  • Existing models may not fully capture the complex dynamics of tonal variations.

Purpose of the Study:

  • To develop and apply a novel functional principal component (FPC) analysis model for quantifying pitch (fundamental frequency, F0) in Mandarin Chinese.
  • To identify and characterize the underlying tonal components within the language's pitch contours.
  • To discover potentially undocumented tonal features.

Main Methods:

  • Utilized functional principal component (FPC) analysis on preprocessed fundamental frequency (F0) curves from a Mandarin Chinese corpus.
  • Applied locally weighted least squares smoothing for F0 curve generation.
  • Employed penalized mixed-effect models to analyze FPC scores and build categorical prototypes.

Main Results:

  • Quantified the influence of each identified FPC on the original tonal content without prior shape assumptions.
  • Developed meaningful categorical prototypes that align with established Mandarin Chinese tonal characteristics.
  • Identified a previously undocumented sinusoidal tonal component within the language's pitch variations.

Conclusions:

  • The FPC analysis framework provides a robust method for modeling and understanding tonal dynamics in Mandarin Chinese.
  • The discovered sinusoidal component warrants further investigation for its phonetic and phonological significance.