196
Views
9
CrossRef citations to date
0
Altmetric
Research Articles

A Test of Order-Constrained Hypotheses for Circular Data With Applications to Human Movement Science

, &
Pages 351-363 | Received 01 Mar 2012, Accepted 02 Jul 2012, Published online: 13 Sep 2012

REFERENCES

  • Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical inference under order restrictions , New York , NY : Wiley .
  • Barragán , S. , Fernández , M. A. , Rueda , C. and Peddada , S. D. 2011 . Isocir: An R package for isotonic inference for circular data. An application in cell biology . Available at http://cran.r-project.org/web/packages/isocir/index.html.
  • Bates , B. , James , C. and Dufek , J. 2004 . “ Single-subject analysis ” . In Innovative analyses of human movement , Edited by: Stergiou , N. 3 – 26 . Chicago , IL : Human Kinetics .
  • Bender , A. and Lange , S. 2001 . Adjusting for multiple testing: When and how? . Journal of Clinical Epidemiology , 54 : 343 – 349 .
  • Burgess-Limerick , R. , Abernethy , B. and Neal , R. J. 1991 . Note: A statistical problem in testing invariance of movement using the phase plane model . Journal of Motor Behavior , 23 : 301 – 303 .
  • Davidson , R. and MacKinnon , J. G. 2007 . Improving the reliability of bootstrap tests with the fast double bootstrap . Computational Statistics & Data Analysis , 51 : 3259 – 3281 .
  • Efron , B. and Gong , G. 1983 . A leisurely look at the bootstrap, the jackknife, and cross-validation . The American Statistician , 37 : 36 – 48 .
  • Efron , B. and Tibshirani , R. J. 1998 . An introduction to the bootstrap , Boca Raton , FL : CRC Press .
  • Fisher , N. I. 1995 . Statistical analysis of circular data , Cambridge , MA : Cambridge University Press .
  • Gablonsky , J. and Kelley , C. T. 2001 . A locally-biased form of the direct algorithm . Journal of Global Optimization , 21 : 27 – 37 .
  • Good , P. 2000 . Permutation tests: A practical guide to resampling methods for testing hypotheses , New York , NY : Springer-Verlag .
  • Good , P. 2005 . Permutation, parametric and bootstrap tests of hypotheses , New York , NY : Springer .
  • Jammalamadaka , S. R. and Sengupta , A. 2001 . Topics in circular statistics , Singapore : World Scientific .
  • Johnson , S. G. 2012 . The nlopt nonlinear-optimization package . Available at http://ab-initio.mit.edu/nlopt.
  • Klugkist , I. G. , Bullens , J. and Postma , A. 2012 . Evaluating order-constrained hypotheses for circular data using permutation tests . British Journal of Mathematical and Statistical Psychology , 65 : 222 – 236 .
  • Kuiper , R. M. and Hoijtink , H. 2010 . Comparisons of means using exploratory and confirmatory approaches . Psychological Methods , 15 : 69 – 86 .
  • Lund , U. and Agostinelli , C. 2012 . Package ‘circular’ . . Available at https://r-forge.r-project.org/projects/circular/.
  • Mardia , K. V. , Hughes , G. , Taylor , C. C. and Singh , H. 2008 . A multivariate Von Mises distribution with applications to bioinformatics . The Canadian Journal of Statistics , 36 : 99 – 109 .
  • Mardia , K. V. and Jupp , P. E. 2000 . Directional statistics , Chichester , England : Wiley .
  • Mardia , K. V. , Taylor , C. C. and Subramaniam , G. K. 2007 . Bivariate Von Mises densities for angular data with applications to protein bioinformatics . Biometrics , 63 : 505 – 512 .
  • Mechsner , F. , Kerzel , D. , Knoblich , G. and Prinz , W. 2001 . Perceptual basis of bimanual coordination . Nature , 414 : 69 – 73 .
  • Mechsner , F. , Stenneken , P. , Cole , J. , Aschersleben , G. and Prinz , W. 2007 . Bimanual circling in deafferented patients: Evidence for a role of visual forward models . Journal of Neuropsychology , 1 : 259 – 282 .
  • Oullier , O. , Bardy , B. G. , Stoffregen , T. A. and Bootsma , R. J. 2002 . Postural coordination in looking and tracking tasks . Human Movement Science , 21 : 147 – 167 .
  • Powell , M. J. D. 1994 . A direct search optimization method that models the objective and constraint functions by linear interpolation . Advances in Optimization and Numerical Analysis , 275 : 51 – 67 .
  • R Development Core Team . 2011 . R: A language and environment for statistical computing , Available from R Foundation for Statistical Computing, http://www.R-project.org .
  • Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order restricted statistical inference , New York , NY : Wiley .
  • Rodgers , J. L. 1999 . The bootstrap, the jackknife, and the randomization test: A sampling taxonomy . Multivariate Behavioral Research , 34 : 441 – 456 .
  • Rueda , C. , Fernández , M. A. and Peddada , S. D. 2009 . Estimation of parameters subject to order restrictions on a circle with application to estimation of phase angles of cell cycle genes . Journal of the American Statistical Association , 104 : 338 – 347 .
  • Semjen , A. , Summers , J. J. and Cattaert , D. 1995 . Hand coordination in bimanual circle drawing . Journal of Experimental Psychology: Human Perception and Performance , 21 : 1139 – 1157 .
  • Silvapulle , M. J. and Sen , P. K. 2005 . Constrained statistical inference: Inequality, order, and shape restrictions , New York , NY : Wiley .
  • Smart , L. , Stoffregen , T. and Bardy , B. 2002 . Visually induced motion sickness predicted by postural instability . Human Factors , 44 : 451 – 465 .
  • Sparto , J. and Schor , R. 2004 . “ Directional statistics ” . In Innovative analyses of human movement , Edited by: Stergiou , N. Chicago , IL : Human Kinetics .
  • Van de Schoot , R. , Hoijtink , H. and Decović , M. 2010 . Testing inequality constrained hypotheses in SEM models . Structural Equation Modeling , 17 : 443 – 463 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.