Multiple measures of vowel overlap have been proposed that use F1, F2, and duration to calculate the degree of overlap between vowel categories. The present study assesses four of these measures: the spectral overlap assessment metric [SOAM; Wassink (2006). J. Acoust. Soc. Am. 119(4), 2334–2350], the a posteriori probability (APP)-based metric [Morrison (2008). J. Acoust. Soc. Am. 123(1), 37–40], the vowel overlap analysis with convex hulls method [VOACH; Haynes and Taylor, (2014). J. Acoust. Soc. Am. 136(2), 883–891], and the Pillai score as first used for vowel overlap by Hay, Warren, and Drager [(2006). J. Phonetics 34(4), 458–484]. Summaries of the measures are presented, and theoretical critiques of them are performed, concluding that the APP-based metric and Pillai score are theoretically preferable to SOAM and VOACH. The measures are empirically assessed using accuracy and precision criteria with Monte Carlo simulations. The Pillai score demonstrates the best overall performance in these tests. The potential applications of vowel overlap measures to research scenarios are discussed, including comparisons of vowel productions between different social groups, as well as acoustic investigations into vowel formant trajectories.

1.
Adank
,
P.
,
Smits
,
R.
, and
van Hout
,
R.
(
2004
). “
A comparison of vowel normalization procedures for language variation research
,”
J. Acoust. Soc. Am.
116
(
5
),
3099
3107
.
2.
Barreda
,
S.
(
2015
). “
phonTools: Functions for phonetics in R
” (R package version 0.2-2.1) [computer program], available at https://cran.r-project.org/web/packages/phonTools/index.html (Last viewed January 6, 2020).
3.
Barreda
,
S.
, and
Nearey
,
T. M.
(
2018
). “
A regression approach to vowel normalization for missing and unbalanced data
,”
J. Acoust. Soc. Am.
144
(
1
),
500
520
.
4.
Bray
,
J. H.
, and
Maxwell
,
S. E.
(
1985
).
Multivariate Analysis of Variance
(
Sage
,
Beverly Hills, CA
), Quantitative Applications in the Social Sciences, Vol.
54
.
5.
Fox
,
J.
,
Friendly
,
M.
, and
Monette
,
G.
(
2018
). “
heplots: Visualizing tests in multivariate linear models (R package version 1.3-5) [computer program]
,” available at https://CRAN.R-project.org/package=heplots (Last viewed January 6, 2020).
6.
Freeman
,
V.
(
2014
). “
Bag, beg, bagel: Prevelar raising and merger in Pacific Northwest English
,”
Univ. Wash. Work. Pap. Linguist.
32
,
1
23
.
7.
Fridland
,
V.
, and
Kendall
,
T.
(
2017
). “
Speech in the silver state
,”
Publ. Am. Dialect Soc.
102
(
1
),
139
164
.
8.
Friendly
,
M.
(
2007
). “
HE plots for multivariate general linear models
,”
J. Comput. Graphic. Stat.
16
(
4
),
421
444
.
9.
Ghorshi
,
S.
,
Vaseghi
,
S.
, and
Yan
,
Q.
(
2008
). “
Cross-entropic comparison of formants of British, Australian and American English accents
,”
Speech Commun.
50
(
7
),
564
579
.
10.
Hall-Lew
,
L.
(
2010
). “
Improved representation of variance in measures of vowel merger
,”
Proc. Meet. Acoust.
9
,
060002
.
11.
Hall-Lew
,
L.
,
Eiswirth
,
M.
,
Valentinsson
,
M.-C.
, and
Cotter
,
W.
(
2017
). “
Northern Arizona vowels
,”
Publ. Am. Dialect Soc.
102
(
1
),
59
82
.
12.
Hay
,
J.
,
Warren
,
P.
, and
Drager
,
K.
(
2006
). “
Factors influencing speech perception in the context of a merger-in-progress
,”
J. Phonetics
34
(
4
),
458
484
.
13.
Haynes
,
E. F.
, and
Taylor
,
M.
(
2014
). “
An assessment of acoustic contrast between long and short vowels using convex hulls
,”
J. Acoust. Soc. Am.
136
(
2
),
883
891
.
14.
Hillenbrand
,
J.
,
Getty
,
L. A.
,
Clark
,
M. J.
, and
Wheeler
,
K.
(
1995
). “
Acoustic characteristics of American English vowels
,”
J. Acoust. Soc. Am.
97
(
5
),
3099
3111
.
15.
Inman
,
H. F.
(
1984
). “
Behavior and properties of the overlapping coefficient as a measure of agreement between distributions (association, dissimilarity)
,” Ph.D. dissertation,
The University of Alabama at Birmingham
, available at http://search.proquest.com/docview/303295844/abstract/6A03AD442D6C405BPQ/1 (Last viewed January 6, 2020).
16.
Kain
,
A.
,
Giudice
,
M. D.
, and
Tjaden
,
K.
(
2017
). “
A comparison of sentence-level speech intelligibility metrics
,” in
Interspeech 2017, ISCA
, pp.
1148
1152
, available at http://www.isca-speech.org/archive/Interspeech_2017/abstracts/0567.html (Last viewed January 6, 2020).
17.
Kelley
,
M. C.
, and
Tucker
,
B. V.
(
2019
). “
Supplementary files for 'A comparison of four vowel overlap measures
,” available at (Last viewed January 6, 2020).
18.
Lobanov
,
B. M.
(
1971
). “
Classification of Russian vowels spoken by different speakers
,”
J. Acoust. Soc. Am.
49
(
2B
),
606
608
.
19.
Luan
,
Y.
,
Wright
,
R.
,
Ostendorf
,
M.
, and
Levow
,
G.-A.
(
2014
). “
Relating automatic vowel space estimates to talker intelligibility
,” in
INTERSPEECH-2014
, available at https://www.isca-speech.org/archive/interspeech_2014/i14_2238.html (Last viewed January 6, 2020).
20.
Mairano
,
P.
,
Bouzon
,
C.
,
Capliez
,
M.
, and
De Iacovo
,
V.
(
2019
). “
Acoustic distance, Pillai scores, and LDA classification scores as metrics of L2 comprehensibility and nativelikeness
,” in
Proceedings of the 19th International Congress of Phonetic Sciences
, edited by
S.
Calhoun
,
P.
Escudero
,
M.
Tabain
, and
P.
Warren
, Melbourne, Australia, pp.
1104
1108
.
21.
Morrison
,
G. S.
(
2008
). “
Comment on ‘A geometric representation of spectral and temporal vowel features: Quantification of vowel overlap in three linguistic varieties,’ J. Acoust. Soc. Am. 119, 2334–2350 (2006)]
,”
J. Acoust. Soc. Am.
123
(
1
),
37
40
.
22.
Nearey
,
T. M.
(
1978
).
Phonetic Feature System for Vowels
(Indiana University Linguistics Club
,
Bloomington, IN
).
23.
Nearey
,
T. M.
, and
Assmann
,
P. F.
(
1986
). “
Modeling the role of inherent spectral change in vowel identification
,”
J. Acoust. Soc. Am.
80
(
5
),
1297
1308
.
24.
Nearey
,
T. M.
, and
Assmann
,
P. F.
(
2007
). “
Probabilistic ‘sliding template’ models for indirect vowel normalization
,” in
Experimental Approaches to Phonology
, edited by
M. J.
Solé
,
P. S.
Beddor
, and
M.
Ohala
(
Oxford University Press
,
Oxford
), pp.
246
269
.
25.
Nycz
,
J.
, and
Hall-Lew
,
L.
(
2015
). “
Best practices in measuring vowel merger
,”
Proc. Meet. Acoust.
20
,
060008
.
26.
Perry
,
S. J.
, and
Tucker
,
B. V.
(
2019
). “
L2 production of American English vowels in function words by Spanish L1 speakers
,” in
Acoustics Week in Canada 2019 Conference Proceedings
, Edmonton, Alberta, Canada.
27.
Pillai
,
K. C. S.
(
1954
). “
On some distribution problems in multivariate analysis
,”
Technical Report 88
(
Institute of Statistics, University of North Carolina
,
Chapel Hill, NC
).
28.
R Core Team
(
2017
).
R: A Language and Environment for Statistical Computing
(
R Foundation for Statistical Computing
,
Vienna, Austria
), available at https://www.R-project.org/ (Last viewed January 6, 2020).
29.
Sandoval
,
S.
,
Berisha
,
V.
,
Utianski
,
R. L.
,
Liss
,
J. M.
, and
Spanias
,
A.
(
2013
). “
Automatic assessment of vowel space area
,”
J. Acoust. Soc. Am.
134
(
5
),
EL477
EL483
.
30.
Schmid
,
F.
, and
Schmidt
,
A.
(
2006
). “
Nonparametric estimation of the coefficient of overlapping–theory and empirical application
,”
Comput. Stat. Data Anal.
50
(
6
),
1583
1596
.
31.
Shirai
,
S.
(
2005
). “
Lexical effects in Japanese vowel reduction
,” Ph.D. dissertation, University of Washington, available at https://digital.lib.washington.edu:443/researchworks/handle/1773/8381 (Last viewed January 6, 2020).
32.
Story
,
B. H.
, and
Bunton
,
K.
(
2017
). “
Vowel space density as an indicator of speech performance
,”
J. Acoust. Soc. Am.
141
(
5
),
EL458
EL464
.
33.
Venables
,
W. N.
, and
Ripley
,
B. D.
(
2002
).
Modern Applied Statistics with S
, fourth ed. (
Springer
,
New York
).
34.
Wang
,
B.
,
Shi
,
W.
, and
Miao
,
Z.
(
2015
). “
Confidence analysis of standard deviational ellipse and its extension into higher dimensional Euclidean space
,”
PLoS One
10
(
3
),
e0118537
.
35.
Wanrooij
,
K.
,
Boersma
,
P.
, and
Zuijen
,
T. L. v.
(
2014
). “
Distributional vowel training is less effective for adults than for infants. A study using the mismatch response
,”
PLoS One
9
(
10
),
e109806
.
36.
Wassink
,
A. B.
(
2006
). “
A geometric representation of spectral and temporal vowel features: Quantification of vowel overlap in three linguistic varieties
,”
J. Acoust. Soc. Am.
119
(
4
),
2334
2350
.
37.
Whalen
,
D. H.
, and
Chen
,
W.-R.
(
2019
). “
Variability and central tendencies in speech production
,”
Front. Commun.
4
,
1
9
.
38.
Wong
,
A. W.-M.
, and
Hall-Lew
,
L.
(
2014
). “
Regional variability and ethnic identity: Chinese Americans in New York City and San Francisco
,”
Lang. Commun.
35
,
27
42
.
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