### Abstract

This paper presents part of an ongoing research

program which aims to apply mathematical and

geometrical analytic methods to vowel formant

data to enable the quantification of parameters of

variation of interest to sociophoneticians. We open

with an overview of recent research working

towards a set of desiderata for choice of

normalization algorithm(s) based on replicable

procedures. We then present the principles of

centroid-based normalization and account for its

performance in recent road tests. In sections 4 and

5 we introduce a method that utilizes the centroid

of the speaker’s vowel space as an anchor point or

vertex for calculation of planar locations on

formant plots, permitting quantification of the

distribution of vowel tokens within the space. This

information, along with details such as Euclidean

distances, can then be used to precisely pinpoint

the trajectories of diachronic change, for instance

over a set of speakers in different age groups

within a defined speech community. This has the

advantage of mathematical reproducibility, and

reduces the level of subjectivity in visual analyses

of formant plots used in investigations of vowel

variability and change in progress.

program which aims to apply mathematical and

geometrical analytic methods to vowel formant

data to enable the quantification of parameters of

variation of interest to sociophoneticians. We open

with an overview of recent research working

towards a set of desiderata for choice of

normalization algorithm(s) based on replicable

procedures. We then present the principles of

centroid-based normalization and account for its

performance in recent road tests. In sections 4 and

5 we introduce a method that utilizes the centroid

of the speaker’s vowel space as an anchor point or

vertex for calculation of planar locations on

formant plots, permitting quantification of the

distribution of vowel tokens within the space. This

information, along with details such as Euclidean

distances, can then be used to precisely pinpoint

the trajectories of diachronic change, for instance

over a set of speakers in different age groups

within a defined speech community. This has the

advantage of mathematical reproducibility, and

reduces the level of subjectivity in visual analyses

of formant plots used in investigations of vowel

variability and change in progress.

Originalsprog | Engelsk |
---|---|

Titel | Proceedings of the International Congress of Phonetic Sciences 17 |

Antal sider | 4 |

Publikationsdato | 2011 |

Status | Udgivet - 2011 |

Begivenhed | International Congress of Phonetic Sciences - Hong Kong, Kina Varighed: 17 aug. 2011 → 21 aug. 2011 Konferencens nummer: 17 |

### Konference

Konference | International Congress of Phonetic Sciences |
---|---|

Nummer | 17 |

Land | Kina |

By | Hong Kong |

Periode | 17/08/2011 → 21/08/2011 |

### Bibliografisk note

Proceeding udgivet på cd-rom## Citer dette

Watt, D., & Fabricius, A. (2011). A measure of variable planar locations anchored on the centroid of the vowel space: A sociophonetic research tool. I

*Proceedings of the International Congress of Phonetic Sciences 17*