Multi-aspect local inference for functional data: Analysis of ultrasound tongue profiles

Motivated by the analysis of a dataset of ultrasound tongue profiles, we present multi-aspect interval-wise testing (IWT), i.e., a local nonparametric inferential technique for functional data embe ...

[1]  A. Cuevas.  A partial overview of the theory of statistics with functional data , 2014 .

[2]  Anthony J. Seikel,et al.  Anatomy and Physiology for Speech, Language, and Hearing , 1999 .

[3]  Enea G. Bongiorno,et al.  Functional Statistics and Related Fields , 2017 .

[4]  Mark K. Tiede,et al.  Methods for quantifying tongue shape and complexity using ultrasound imaging , 2016, Clinical linguistics & phonetics.

[5]  Alessia Pini,et al.  Interval-wise testing for functional data , 2017 .

[6]  M. Stone.  A guide to analysing tongue motion from ultrasound images , 2005, Clinical linguistics & phonetics.

[7]  Piotr Kokoszka,et al.  Inference for Functional Data with Applications , 2012 .

[8]  Felix Abramovich,et al.  Testing in mixed-effects FANOVA models , 2006 .

[9]  L. Salmaso,et al.  Permutation tests for complex data : theory, applications and software , 2010 .

[10]  Dennis D. Cox,et al.  Pointwise testing with functional data using the Westfall–Young randomization method , 2008 .

[11]  Aldo Goia,et al.  An introduction to recent advances in high/infinite dimensional statistics , 2016, J. Multivar. Anal..

[12]  Ricardo Fraiman,et al.  An anova test for functional data , 2004, Comput. Stat. Data Anal..

[13]  Keith Johnson,et al.  A Course in Phonetics (Sixth Edition) , 2011 .

[14]  Lisa Davidson.  Comparing tongue shapes from ultrasound imaging using smoothing spline analysis of variance. , 2006, The Journal of the Acoustical Society of America.

[15]  P. Sarda,et al.  Testing for No Effect in Functional Linear Regression Models, Some Computational Approaches , 2004 .

[16]  T. Auton.  Applied Functional Data Analysis: Methods and Case Studies , 2004 .

[17]  Anuj Srivastava,et al.  Shape Analysis of Elastic Curves in Euclidean Spaces , 2011, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[18]  K A Morrish,et al.  Characterization of tongue shape. , 1984, Ultrasonic imaging.

[19]  Ana-Maria Staicu,et al.  Likelihood Ratio Tests for Dependent Data with Applications to Longitudinal and Functional Data Analysis , 2014 .

[20]  P. James McLellan,et al.  Parameter estimation in continuous-time dynamic models using principal differential analysis , 2006, Comput. Chem. Eng..

[21]  J. Marron,et al.  Statistics of time warpings and phase variations , 2014 .

[22]  Alessia Pini,et al.  The interval testing procedure: A general framework for inference in functional data analysis , 2016, Biometrics.

[23]  K. Gabriel,et al.  On closed testing procedures with special reference to ordered analysis of variance , 1976 .

[24]  Mustapha Rachdi,et al.  Data-driven kNN estimation in nonparametric functional data analysis , 2017, J. Multivar. Anal..

[25]  Luigi Salmaso,et al.  New insights on permutation approach for hypothesis testing on functional data , 2014, Adv. Data Anal. Classif..

[26]  Simone Vantini,et al.  Principal differential analysis of the Aneurisk65 data set , 2014, Adv. Data Anal. Classif..

[27]  Natalia Zharkova,et al.  Measuring lingual coarticulation from midsagittal tongue contours: Description and example calculations using English /t/ and /ɑ/ , 2009, J. Phonetics.

[28]  Olga Vsevolozhskaya,et al.  Pairwise comparison of treatment levels in functional analysis of variance with application to erythrocyte hemolysis , 2014, 1407.8388.

[29]  Chiara Brombin,et al.  Multi-aspect permutation tests in shape analysis with small sample size , 2009, Comput. Stat. Data Anal..

[30]  S. Vantini.  On the definition of phase and amplitude variability in functional data analysis , 2009, TEST.

[31]  Z. Q. John Lu,et al.  Nonparametric Functional Data Analysis: Theory And Practice , 2007, Technometrics.

[32]  Jin-Ting Zhang,et al.  Analysis of Variance for Functional Data , 2013 .

[33]  B. Silverman,et al.  Functional Data Analysis , 1997 .

[34]  A. Solari,et al.  Multiple aspect testing for case-control designs , 2005 .

[35]  J. S. Marron,et al.  Functional Data Analysis of Amplitude and Phase Variation , 2015, 1512.03216.

[36]  Lucie Ménard,et al.  Measuring Tongue Shapes and Positions with Ultrasound Imaging: A Validation Experiment Using an Articulatory Model , 2011, Folia Phoniatrica et Logopaedica.

[37]  Vincenzo Galatà,et al.  A UTI study on the phonetic allophony of Tyrolean /R/ , 2015, ICPhS.

[38]  T. Hsing,et al.  Theoretical foundations of functional data analysis, with an introduction to linear operators , 2015 .

[39]  Jin-Ting Zhang,et al.  One‐Way anova for Functional Data via Globalizing the Pointwise F‐test , 2014 .

[40]  Bryan Gick,et al.  An Index for Quantifying Tongue Curvature , 2013 .

[41]  Enea G. Bongiorno,et al.  Contributions in Infinite-Dimensional Statistics and Related Topics , 2014 .

[42]  M J Qvarnström,et al.  Changes in the peripheral speech mechanism of children from the age of 7 to 10 years. , 1994, Folia phoniatrica et logopaedica : official organ of the International Association of Logopedics and Phoniatrics.

[43]  Anders Löfqvist,et al.  Vowel-related tongue movements in speech: straight or curved paths? (L). , 2011, The Journal of the Acoustical Society of America.

[44]  Alessia Pini,et al.  Nonparametric inference for functional-on-scalar linear models applied to knee kinematic hop data after injury of the anterior cruciate ligament , 2018 .

[45]  Paul J. Smith,et al.  Principal Components Representation of the Two-Dimensional Coronal Tongue Surface , 2002, Phonetica.

[46]  Wei Wu,et al.  Generative models for functional data using phase and amplitude separation , 2012, Comput. Stat. Data Anal..

[47]  James Stephen Marron,et al.  Mixed-Model Functional ANOVA for Studying Human Tactile Perception , 2003 .

[48]  P. Ladefoged,et al.  Factor analysis of tongue shapes. , 1971, Journal of the Acoustical Society of America.

[49]  Paul Boersma,et al.  Praat: doing phonetics by computer , 2003 .

[50]  P. Hall,et al.  Permutation tests for equality of distributions in high‐dimensional settings , 2002 .

[51]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[52]  R. Heller.  LOCAL FUNCTIONAL HYPOTHESIS TESTING , .

[53]  Paul Boersma,et al.  Praat, a system for doing phonetics by computer , 2002 .