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1 Workshop on Sociophonetic Methodology, LSA Summer Institute, Boulder, USA July 2011 Anne Fabricius, Roskilde University, Denmark Tyler Kendall, University of Oregon, USA Dominic Watt, University ofYork, UK

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Page 1: Workshop(on(Sociophonetic(Methodology,(( LSA… · 2020-06-08 · 1 Workshop(on(Sociophonetic(Methodology,((LSA(Summer(Institute,(Boulder,(USA(July2011(Anne(Fabricius,(Roskilde(University,(Denmark(Tyler(Kendall,(University(of(Oregon

1  

Workshop  on  Sociophonetic  Methodology,    LSA  Summer  Institute,  Boulder,  USA  July  2011  

Anne  Fabricius,  Roskilde  University,  Denmark  Tyler  Kendall,  University  of  Oregon,  USA  Dominic  Watt,  University  of  York,  UK  

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Part  1:  Plotting      1.1  A  quick  overview  of  its  role  in  sociophonetics  

Part  2:  Normalization    2.1  Why  and  wherefore    2.2  Defining  a  normalization  algorithm  typologically    2.3  Evaluating  an  algorithm’s  performance    

▪  Fabricius,  Watt  &  Johnson  (2009)  ▪  Flynn  (2011)  ▪  Flynn  &  Foulkes  (2011)  ▪  Fruehwald  (ms)  

Part  3:  Metrics  and  the  vowel  space    3.1  Fabricius  (2007)    3.2  Watt  &  Fabricius  (2011)    3.3  Fridland  &  Kendall  (under  review)  

Question    &  discussion  time  

2  

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  graphical  formats  (i.e.  plots)  provide  “a  front  line  of  attack,  revealing  intricate  structure  in  data  that  cannot  be  absorbed  in  any  other  way.  We  discover  unimagined  effects,  and  we  challenge  imagined  ones.”  (Cleveland  1993:  1)  

  “nothing  beats  a  picture”  (K.  Johnson  2008).  

3  

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Joos 1948

Peterson & Barney 1952

Labov 1963

Labov, Yaeger, Steiner 1972

Thomas 2001

Labov 2007 NORM (sample data) vowels.R (+ durplot plug-in)

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  NORM  (&  Vowels  R  library)    http://ncslaap.lib.ncsu.edu/tools/norm/  

  Plotnik    Akustyk  (Praat  plug-­‐in)  

  Origin    SigmaPlot    Excel…    

5  

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  normalization:    Chiefly  Math.  and  Physics.  To  multiply  (a  series,  function,  variable,  etc.)  by  a  factor  

that  makes  the  norm  or  some  associated  quantity  (such  as  an  integral)  equal  to  a  particular  value,  usually  one.    [OED  online]  

  here:  factoring  out  of  physical  (anatomical  >  acoustic)  differences  between  samples  

  listeners  unconsciously  compensate  for  absolute  formant  frequency  differences  for  any  given  vowel  category  

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  cognitive  processes  underlying  this  faculty  still  not  well  understood  (Johnson  &  Mullennix  1997;  Wong  et  al.  2004;  Ames  &  Grossberg  2008;  Monahan  &  Idsardi  2010)  

  not  the  aim  of  our  own  work  to  simulate  this  process  directly  

  rather,  it  is  to  enable  qualitative    (visual)  and  quantitative  comparisons  of  speakers’  and  groups’  vowel    productions  

7  7  

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  cross-­‐gender  and  cross-­‐age  comparisons    same-­‐gender  comparisons    same  speaker  over  time  

(age-­‐dependent)  

  sociophonetic  community  studies  will  encompass  at  least  some  of  these  

  choice  not  to  normalize  should  be  justified  

8  

RP  data  for  3  older  RP-­‐speaking  men  (Hawkins  &  Midgley  2005)  

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  reflecting  the  stages  of  processing  carried  out  on  an  incoming  acoustic  signal    the  peripheral  auditory  system  (transform)    the  auditory  processing  centers  of  the  brain  (normalization  proper)  

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  3-­‐way  cross-­‐cutting  set  of  terms  

  defining  where  the  algorithm  derives  its  information  from  

  speaker  extrinsic  vs.  intrinsic    vowel  extrinsic  vs.  intrinsic    formant  extrinsic  vs.  intrinsic  

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  psychoperceptual  scales    (Bark,  ERB,  mel)  

  approximate  non-­‐linear  frequency  response  of  inner  ear  

  much  more  sensitive  to  changes  in  frequency  at  the  lower  end  of  the  spectrum  

  1  critical  band  =  100  Hz  between  150  and  250  Hz  

  but  =  350  Hz  between  2150  and  2500  Hz    

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  Bark  Difference  Metric    Syrdal  and  Gopal  (1986)  

  two  slightly  different  versions  of  same  idea:    Hertz  values  converted  into  Bark    Z3-­‐Z2  or  Z2-­‐Z1  modelling  advancement    Z1-­‐Z0  modelling  vowel  height  (NORM  uses  Z3-­‐Z1)  

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  most  successful  category  for  sociophonetic  purposes  (Adank  2003,  Flynn  2011)  

  ranges  (Gerstman)    mean  /  standard  dev  (Lobanov)    individual  log-­‐means  (Nearey  CLIHi4)    centroids  (W&F,  mW&F,  Bigham)  

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  Nordström  &  Lindblom’s  (1975)  vocal  tract  scaling  transformation  

  Nearey’s  shared  log-­‐mean  model  (‘Constant  Log  Interval  Hypothesis’  or  CLIHs4/s2)  

  ANAE/Telsur  G  value  (also  speaker  extrinsic)  (Labov,  Ash  &  Boberg  2006:  39-­‐40)  

  conceptualized  as  a  ‘sliding  template’  approach  using  a  scaling  factor  

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  Nearey  1  (NORM):  CLIHi2  –  formant  intrinsic    Nearey  2  (NORM):  CLIHs2  –  formant  extrinsic  

  Adank  (2003)  rates  CLIHi4  (≈  Nearey  1)  as  more  successful  than  CLIHs4    

  Nearey  1  of  same  typology  as  Lobanov    Nearey  2  is  the  basis  for  the  ANAE  method  and  

implemented  in  Plotnik  

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16  http://normtable.notlong.com

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  a  recent  renewed  interest  in  this  area  

  earlier  work  with  emphasis  more  on  speech  perception    (Disner  1980,  Deterding  1990,  but  see  Hindle  1978)  

  now,  comparisons  tending  towards  sociophonetically-­‐relevant  parameters,  both  visual  and  quantitative  

  Adank  (2003)  used  measures  of  sorting  efficiency  using  linear  discriminant  analysis  

  more  evaluation  possibilities  emerging  all  the  time…  (see  also  Clopper  2009)  

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F1  

F2  

•  1  =  disparity  in  area  agreement  and  poor  overlap  

•  2  =  good  area  agreement  but  poor  overlap  

•  3  =  good  fit  on  both  counts  

3  

1   2  

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  tested  W&F,  mW&F  against  Lobanov  and  Nearey1  on  following  parameters:  

  reduction  of  variance  in  area  ratios  of  vowel  polygons    improvement  of  intersection  of  vowel  polygons    conservation  of  angular  relationships  between  selected  points  on  the  F1/F2  plane,  after  normalization  

19  19  

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  area    proportional  reduction  in  variance      Pitman-­‐Morgan’s  test  of  homogeneity  of  variance  between  correlated  samples  (Cohen,  1990).  

  intersection    intersection  of  two  vowel  polygons  divided  by  the  union  of  the  same  polygons  →  intersection  values  compared  statistically  

  vowel  juxtapositions    planar  locations  compared  across  methods  (DRESS-­‐LOT;  

TRAP-­‐STRUT  and  LOT-­‐FOOT)  

  tested  on  data  from  RP  and  Aberdeen  English  20  

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Test  1:  Equalizing  vowel  space  areas  

Test  2:  Improving  vowel  space  overlap  

Overall:    

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F2  

F1  

KIT/BIT  

DRESS/BET  

TRAP/BAT  

STRUT/  BUT  

LOT/BOT  

FOOT/PUT  

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Fabricius,  Watt  &  Johnson  (2009:  429)  

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  compares  20  normalization  methods  (6  vowel  intrinsic,  14  vowel  extrinsic)    ▪  includes  some  innovative  normalization  techniques  ▪  Bigham  (2008)  ▪  and  additional  new  possible  methods  

  20  speakers  of  Nottingham  English  (age,  gender);  180  vowel  tokens  per  speaker  

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  methods    for  equalising  vowel  space  areas:  squared  coefficients  of  variance  (Fabricius  et  al.  2009)  

  Python  v2.6.4  incorporating  the  Shapely  v1.2.6  package  used  to  determine  intersection  and  union  of  all  20  speaker  vowel  space  areas  

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Method            SCV                                  Rank      (Hertz          0.06212    N/A)    Gerstman      0.01020      1      LCE          0.01487      2      Lobanov          0.02032      3      Bigham          0.02556    4      1mW&F          0.02587      5      Letter          0.02637      6      origW&F          0.02671                                            7      2mW&F          0.02818      8      ERB          0.03233                                            9      Nearey1          0.03250      =10      NeareyGM  0.03250                                            =10      Log          0.03250      =10      Ln          0.03250      =10      

Flynn  (2011:  16)  Results  of  testing  equalization  of  vowel  space  areas,  10  best  methods  only  

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method              %  overlapping    rank      Bigham      45.8%    1      2mW&F      43.8%    2      origW&F      43.4%    3      1mW&F      42.3%    4      Gerstman    30.0%    5      Lobanov      29.2%    6      Nordstrom    28.7%    7      exp{Nearey1}    27.6%    8      Nearey1      27.1%    9      exp{NGM}    26.9%    10      Bladon      25.9%    11      NeareyGM    25.7%    12      Letter      24.1%    13      LCE      23.1%    14      Bark-­‐diff      13.5%    15      Bark      13.2%    16      Mel      13.1%    17      ERB      12.8%    18      Ln      12.2%    =19      Log      12.2%    =19      Hertz      12.6%      

Flynn  (2011:  17)  

Results  of  testing    overlap  in  vowel  space  areas  

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method        SCV    area    total    overall  rank      Bigham        4    1    5    1      Gerstman      1    5    6    2      1mW&F        5    4    9    =3      Lobanov        3    6    9    =3      2mW&F        8    2    10    =5      origW&F        7    3    10    =5      LCE        2    14    16    7      Letter        6    13    19    =8      Nearey1        =10    9    19    =8      NeareyGM      =10    12    22    10      

Flynn  (2011:  21).  Overall  rankings  converted  to  points  and  then  ranked.  10  best  performing  methods  only  

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  condensed  version  of  Flynn  (2011)    illustrations  of  Hertz/Bigham/ERB  

  ‘These  results  demonstrate  the  possibility  of  methods  performing  to  different  levels  of  effectiveness  depending  on  the  method  of  comparison  used,  and  suggest  evaluation  of  methods  should  ideally  be  based  on  a  range  of  comparative  tests.’  

29  

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  to  evaluate  normalization  algorithms’  efficacy  in  reducing  male-­‐female  vowel  space  differences  

  compares  density  functions    for  F1,  F2,  F3    i.e.  the  likelihood  of  a  formant  appearing  at  a  particular  frequency  

  uses  some  known  methods  and  introduces  adjustments  to  these  by  varying  scaling  factors  

  data:  17  Philadelphia  speakers  (12  women,  5  men)  

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31  Fruehwald  (ms,  p.2):  Distribution  of  formants  on  Hz  scale  

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32  Fruehwald  (ms,  p.  3):  Empirical  cumulative  density  function  (Hz)  

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Fruehwald  (ms,  p.  X):  variant  of  W&F  using  a  difference  metric  (two-­‐factor  scaling)  

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For  more  details,  contact  Josef  at  [email protected]  

Lobanov best performer

overall

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  what  matters  in  the  choice  of  a  normalization  algorithm:      explicitly  testing  a  range  of  normalization  procedures      using  a  range  of  test  types    finding  arguments  to  support  a  choice  based  on  a  range  of  

factors  ▪  suitability  of  the  typological  choice  (vowel  extrinsic,  formant  intrinsic  preferred)  

▪  purposes  for  which  the  data  is  being  analyzed  ▪  optimal  performance  within  those  boundaries  ▪  time  and  budget  parameters  

  aiming  also  to  optimize  comparability  of  results  

  the  choice  will  thus  be  (to  some  extent)  individual  

35  

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  Phoneticians  and  sociolinguists’  practices  in  this  area  have  tended  to  differ  somewhat  

 Measuring  formant  differences  across  one  formant  at  a  time        OR  

  Describing  the  vowel  space  two-­‐dimensionally  

36  

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Hawkins  and  Midgley  2005  :190  

Example:  Hawkins  and  Midgley  2005  

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Questions:    Can  we  bring  in  some  of  the  benefits  of  Labovian-­‐type  holistic  views?  Can  we  make  two-­‐dimensional  comparisons  of  vowel  plots  more  stringent  and  replicable  by  using  mathematical  methods?  

Labov  1994:  167  

”In  Andersen’s  speech,  the  membership  of  the  New  York  City  /æh/  class  is  quite  regular,  in  that  words  like  man,  pass,  half  are  lengthened  and  more  peripheral  than  other  words;  but  the  raising  to  mid  and  high  position  characteristic  of  younger  speakers  has  not  actually  begun,  and  (oh)  is  equally  conservative.  The  conservative  orientation  of  (ay)  and  (aw)  is  equally  clear.  They  are  both  squarely  located  in  central  position,  with  no  tendency  toward  fronting  or  backing.”  Figure:  Labov  1984:168  

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  Pillai-­‐Bartlett  statistic/Pillai  scores  (Hall-­‐Lew  2009,  Hay,  Warren  &  Drager  2006)  

  Quantifying  angular  relations  between  vowel  points  (Fabricius  2007)  and  using  the  centroid  of  the  vowel  space  (Watt  &  Fabricius  2011)  

  Mahalanobis  distances  (e.g.  Esling  1986)  or  scaling  to  enable  use  of  Euclidean  distance  (Fridland  &  Kendall,  submitted)  

  Procrustean  analysis,  relating  acoustic  and  articulatory  data  (Geng  &  Mooshammer  2009)  

Another  recommendation:  Harrington,  J.  (2010)  The  Phonetic  Analysis  of  Speech  Corpora.  Wiley-­‐Blackwell.    

39  

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TRAP  and  STRUT  relative  to  the  horizontal  

(1)  Tan  Θ  =  ((F1  TRAP-­‐F1  STRUT)/(F2  TRAP-­‐F2  STRUT))  

LOT  and  FOOT  relative  to  the  vertical  

(2)  TAN  Θ  =  ((F2  FOOT-­‐F2  LOT)/(F1  LOT-­‐F1  FOOT))  

Euclidean  distance  

(3)  DISTANCE  (x,y)  =  √((F1  x  –  F1  y)2  +  (F2  x–F2  y)2)  

Fabricius,  Anne  H.  2007.  Using  angle  calculations  to  demonstrate  vowel  shifts:  A  diachronic  investigation  of  the  short  vowel  system  in  20th-­‐century  RP  (UK).  Acta  Linguistica  Hafniensis.  40:7-­‐21.  

40  

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Watt,  Dominic  and  Anne  H.  Fabricius.  2011.  A  measure  of  variable  planar  locations  anchored  on  the  centroid  of  the  vowel  space:  a  sociophonetic  research  tool.  To  appear  in  ICPhS  17  Proceedings.    

  Derives  its  methodology  from  the  S-­‐centroid  calculated  by  the  normalization  algorithm  (1,1)  

  ((Lobanov  normalization  also  provides  a  centroid  at  (0,0)  ))  

41  

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42  

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43  

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  work  examining  the  relationship  between  perception  and  production  of  vowel  categories  during  regional  vowel  shifts  

45  

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46  

Southern Vowel Shift (SVS) Northern Cities Shift (NCS)

Diagram

s from G

ordon “Do you speak A

merican?”http://w

ww

.pbs.org/speak/ahead/change/changin/

Euclidean distance relies on scale equivalence: Lobanov handles this nicely (W & F actually performs slightly better, at least on datasets tested)

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Not all speakers within a region participate in the regional shift, and speakers who do participate do so to varying degrees

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/e/ - /ɛ/ onset distances ordered by region /e/ - /ɛ/ onset distances ordered by distance

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Perception is related to an individual’s production, seen in the non-linear (fit by a 2nd order polynomial) effect for Euclidean distance

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  normalization  (and  plotting)  decisions  are  crucial  components  of  any  sociophonetic  vowel  (and  beyond?)  study    not  normalizing  is  a  valid  decision,  but  crucially  is  still  a  decision  

  as  sociophonetics  matures,  it  is  important  that  we  strive  to  develop  both  shared  best-­‐practices  and  an  innovative  eye  toward  rigorous  and  appropriate  quantitative  techniques  

50  

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  Adank,  Patti.  2003.  Vowel  Normalization:  A  Perceptual-­‐Acoustic  Study  of  Dutch  Vowels.  PhD  thesis,  University  of  Nijmegen.  

  Ames,  Heather  and  Stephen  Grossberg.  2008.  Speaker  normalization  using  cortical  strip  maps:  a  neural  model  for  steady-­‐state  vowel  categorization.  Journal  of  the  Acoustical  Society  of  America  124(6):  3918-­‐3936.  

  Bigham,  Douglas.  2008.  Dialect  contact  and  accommodation  among  emerging  adults  in  a  University  Setting.  PhD  thesis,  University  of  Texas  at  Austin.  

  Cleveland,  W.S.  1993.  Visualizing  Data.  Summit,  NJ:  Hobart  Press.    Clopper,  Cynthia.  2009.  Computational  methods  for  normalization  of  acoustic  vowel  data  for  talker  

differences.  Language  and  Linguistics  Compass  3(6):  1430-­‐1442.    Cohen,  Ayala.  1990.  Graphical  methods  for  testing  the  equality  of  several  correlated  variances.  The    Statistician  39(1):  43-­‐52.    Deterding,  David.  1990.  Speaker  Normalisation  for  Automatic  Speech  Recognition.  Unpublished  PhD  

thesis,  University  of  Cambridge.    Disner,  Sandra  Ferrari.  1980.  Evaluation  of  vowel  normalization  procedures.  Journal  of  the  Acoustical  

Society  of  America  67:  253-­‐261.    Esling,  John.  1986.  Some  analyses  of  vowels  by  social  group  in  the  Survey  of  Vancouver  English.  Working  

Papers  of  the  Linguistic  Circle  5(1):  21-­‐32.    Fabricius,  Anne  H.  2007a.  Vowel  formants  and  angle  measurements  in  diachronic  sociophonetic  studies:  

FOOT-­‐fronting  in  RP.  Proceedings  of  the  16th  ICPhS,  Saarbrücken.      Fabricius,  Anne  H.  2007b.  Variation  and  change  in  the  TRAP  and  STRUT  vowels  of  RP:  a  real  time  

comparison  of  five  acoustic  data  sets.  Journal  of  the  International  Phonetic  Association  37(3):  293-­‐320.  51  

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  Fabricius,  Anne  H.  2007c.  Using  angle  calculations  to  demonstrate  vowel  shifts:  a  diachronic  investigation  of  the  short  vowel  system  in  20th-­‐century  RP  (UK).  Acta  Linguistica  Hafniensis  40:  7-­‐21.  

  Fabricius,  Anne  H.,  Dominic  Watt  and  Daniel  Ezra  Johnson.  2009.  A  comparison  of  three  speaker-­‐intrinsic  vowel  formant  frequency  normalization  algorithms  for  sociophonetics.  Language  Variation  and  Change  21(3):  413-­‐435.  

  Flynn,  Nicholas.  2011.  Comparing  vowel  formant  normalisation  procedures.  York  Working  Papers  in  Linguistics  (Series  2)    11:  1-­‐28.  

  Flynn,  Nicholas  and  Paul  Foulkes.  2011.  Comparing  vowel  formant  normalisation  procedures.  To  appear  in  Proceedings  of  the  17th  ICPhS,  Hong  Kong.  

  Fridland,  Valerie  and  Tyler  Kendall.  Under  review.  Exploring  the  relationship  between  production  and  perception  in  the  mid  front  vowels  of  U.S.  English  

  Fruewald,  Josef.  ms.  Evaluating  normalization  procedures’  effectiveness  at  eliminating  sex  differences.  Unpublished  manuscript,  University  of  Pennsylvania.  

  Geng,  Christian  and  Christine  Mooshammer.  2009.  How  to  stretch  and  shrink  vowel  systems:  results  from  a  vowel  normalization  procedure.  Journal  of  the  Acoustical  Society  of  America  125(5):  3278-­‐3288.  

  Gerstman,  Louis.  1968.  Classification  of  self-­‐normalized  vowels.  IEEE  Transactions  of  Audio  Electroacoustics  AU-­‐16:  78-­‐80.  

  Hall-­‐Lew,  Lauren.  2009.  Ethnicity  and  Phonetic  Variation  in  a  San  Francisco  Neighborhood.  PhD  thesis,  Stanford  University.  

  Harrington,  Jonathan.  2010.  The  Phonetic  Analysis  of  Speech  Corpora.  Oxford:  Wiley-­‐Blackwell.    Hay,  Jennifer,  Paul  Warren  and  Katie  Drager.  2006.  Factors  influencing  speech  perception  in  the  context  

of  a  merger-­‐in-­‐progress.  Journal  of  Phonetics  34:  458–484.    52  

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  Hawkins,  Sarah  and  Jonathan  Midgley.  2005.  Formant  frequencies  of  RP  monophthongs  in  four  age  groups  of  speakers.  Journal  of  the  International  Phonetic  Association    35(2):  183-­‐199.  

  Hindle,  Donald.  1978.  Approaches  to  vowel  normalization  in  the  study  of  natural  speech.  In  D.  Sankoff  (ed.),  Linguistic  Variation:  Models  and  Methods.  New  York:  Academic  Press,  pp.  161-­‐171.  

  Johnson,  Keith.  2008.  Quantitative  Methods  in  Linguistics.  Oxford:  Blackwell.    Johnson,  Keith  and  John  Mullennix.  1997,  eds.  Talker  Variability  in  Speech  Processing.  San  Diego:  

Academic  Press.    Joos,  Martin.  1948.  Acoustic  phonetics.  Language  24(2).  Language  Monograph  23:  5-­‐136.    Kamata,  Miho.  2008.  A  socio-­‐phonetic  study  of  the  DRESS,  TRAP  and  STRUT  vowels  in  London  English.  

Leeds  Working  Papers  in  Linguistics  and  Phonetics  11.    [Online:  <http://www.leeds.ac.uk/linguistics/WPL/WP2006/6.pdf>]  

  Labov,  William.  1963.  The  social  motivation  of  a  sound  change.  Word  19:  273-­‐309.    Labov,  William.  1984.  Field  methods  on  the  project  on  linguistic  change  and  variation.  In  John  Baugh  and  

Joel  Sherzer  (eds.),  Language  in  Use:  Readings  in  Sociolinguistics.  Englewood  Cliffs,  NJ:  Prentice  Hall,  pp.  22-­‐86.  

  Labov,  William.  1994.  Principles  of  Linguistic  Change,  vol.  1:  Internal  Factors.  Oxford:  Blackwell.    Labov,  William.    2007.  Transmission  and  diffusion.  Language  83(2):  344-­‐387.    Labov,  William,  Sharon  Ash  and  Charles  Boberg.  2006.  The  Atlas  of  North  American  English:  Phonetics,  

Phonology,  and  Sound  Change.  New  York:  Mouton  de  Gruyter.    Labov,  William,  Malcah  Yaeger  and  Richard  Steiner.  1972.  A  Quantitative  Study  of  Sound  Change  in  

Progress,  Vol.  1.  Philadelphia:  US  Regional  Survey.  

53  

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  Lobanov,  Boris  M.  (1971).  Classification  of  Russian  vowels  spoken  by  different  speakers.  Journal  of  the  Acoustical  Society  of  America  49(2B):606–608.  

  Monahan,  Philip  and  William  Idsardi.  2010.  Auditory  sensitivity  to  formant  ratios:  toward  an  account  of  vowel  normalisation.  Language  and  Cognitive  Processes  25(6):  808-­‐839.  

   Nearey,  Terrance.  1977/8.  Phonetic  Feature  Systems  for  Vowels.  Indiana  University  Linguistics  Club.  [Online:  <http://www.ualberta.ca/~tnearey/Nearey1978_compressed.pdf>]  

   Nearey,  Terrance  and  Peter  Assmann.  2007.  Probabilistic  ‘sliding  template’  models  for  indirect  vowel  normalization.  In  Maria-­‐Josep  Solé,  Patrice  Beddor  and  Manjari  Ohala  (eds.)  Experimental  Approaches  to  Phonology.  Oxford:  Oxford  University  Press,  pp.  246-­‐269.  

  Nordström,  P.-­‐E.  and  Björn  Lindblom.  1975.  A  normalization  procedure  for  vowel  formant  data.  Proceedings  of  the  8th  ICPhS,  Leeds,  p.  212.  

  Peterson,  Gordon  and  Harold  Barney.  1952.  Control  methods  used  in  a  study  of  the  vowels.  Journal  of  the  Acoustical  Society  of  America  24(2):  175-­‐184.  

  Pisoni,  David.  1997.  Some  thoughts  on  ‘normalization’  in  speech  perception.    In  Keith  Johnson  and  John  Mullennix  (eds.)  Talker  Variability  in  Speech  Processing.  San  Diego:  Academic  Press,  pp.  9-­‐32.  

  Stevens,  Stanley  and  John  Volkman.  1940.  The  relation  of  pitch  to  frequency:  a  revised  scale.  American  Journal  of  Psychology  53:  329-­‐353.  

  Syrdal,  A.K.  and  H.S.  Gopal.  1986.  A  perceptual  model  of  vowel  recognition  based  on  the  auditory  representation  of  American  English  vowels.  Journal  of  the  Acoustical  Society  of  America  79:  1086-­‐1100.  

  Thomas,  Erik  R.  2001.  An  Acoustic  Analysis  of  Vowel  Variation  in  New  World  English.  Durham,  NC:  Duke  University  Press.  

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  Thomas,  Erik  R.  and  Tyler  Kendall.  2007.  NORM:  The  Vowel  Normalization  and  Plotting  Suite.  [Online:  <http://ncslaap.lib.ncsu.edu/tools/norm/>]        

  Traunmüller,  Hartmut.  1990.  Analytical  expressions  for  the  tonotopic  sensory  scale.  Journal  of  the  Acoustical  Society  of  America  88:  97-­‐100.  

  Traunmüller,  Hartmut.  1997.  Auditory  Scales  of  Frequency  Representation.  [Online:  <http://www.ling.su.se/staff/hartmut/bark.htm>]  

  Watt,  Dominic  and  Anne  Fabricius.  2002.  Evaluation  of  a  technique  for  improving  the  mapping  of  multiple  speakers'  vowel  spaces  in  the  F1~F2  plane.  Leeds  Working  Papers  in  Linguistics  and  Phonetics  9:  159-­‐73.  

  Watt,  Dominic,  Anne  Fabricius  and  Tyler  Kendall.2011.  More  on  vowels:  plotting  and  normalization.  In  Marianna  di  Paolo  and  Malcah  Yaeger-­‐Dror  (eds.).  Sociophonetics:  A  Student’s  Guide.  Routledge,  pp.  107-­‐118.  

  Watt,  Dominic  and  Anne  Fabricius.  2011.  A  measure  of  variable  planar  locations  anchored  on  the  centroid  of  the  vowel  space:  a  sociophonetic  research  tool.  Proceedings  of  the  17th  ICPhS,  Hong  Kong.    

  Wong,  Patrick,  Howard  Nussbaum  and  Steven  Small.  2004.  Neural  bases  of  talker  normalization.  Journal  of  Cognitive  Neuroscience  16(7):  1173-­‐1184.  

  See  also  http://ncslaap.lib.ncsu.edu/tools/norm/biblio1.php    

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  Questions  and  discussion?  

  Anne  H.  Fabricius,  [email protected]    Tyler  Kendall,  [email protected]    Dom  Watt,  [email protected]  

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Workshop  on  Sociophonetic  Methodology,    LSA  Summer  Institute,  Boulder,  USA  July  2011  

Anne  Fabricius,  Roskilde  University,  Denmark  Tyler  Kendall,  University  of  Oregon,  USA  Dominic  Watt,  University  of  York,  UK