Repeated measures analysis for functional data

Computational Statistics and Data Analysis

Volumn 55, Issue 12, 2011, Pages 3244-3256

  Martínez Camblor, Pablo ^a,b   Corral, Norberto ^b  

^a Oficina de Investigación Biosanitaria OIB de Asturias and Universidad Autonoma de Chile   (Spain)

^b UNIVERSITY OF OVIEDO   (Spain)

Author keywords

Bootstrap method; Functional data analysis; Paired design; Repeated measure

Indexed keywords

BOOTSTRAP METHOD; FUNCTIONAL DATA ANALYSIS; FUNCTIONAL DATAS; MONTE CARLO SIMULATION; NONPARAMETRIC APPROACHES; PAIRED DESIGN; REPEATED MEASURES; SMALL SAMPLE SIZE; STATISTICAL POWER;

COMPUTER SIMULATION; DATA REDUCTION;

MONTE CARLO METHODS;

EID: 79961169832     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.06.007     Document Type: Article

References (40)

1. R.J. Adler An introduction to continuity, extrema and related topics for general Gaussian processes IMS Lecture Notes-Monograph Series vol. 12 1990 Institute of Mathematical Statistics Hayward, California
2. M.A. Arcones, and E. Giné On the bootstrap of U and V statistics Annals of Statistics 20 2 1992 655 674
3. J. Barrientos-Marin, B. Ferraty, and P. Vieu Locally modelled regression and functional data Journal of Nonparametric Statistics 22 5 2010 617 632
4. J.R. Berrendero, A. Justel, and M. Svarc Principal components for multivariate functional data Computational Statistics & Data Analysis 55 1 2011 2619 2634
5. P. Billinsley Convergence of Probability Measures 1968 Wiley New York
6. G & Boente, and R. Fraiman Kernel-based functional principal components Annals of Statistics 20 2000 655 674
7. F. Burba, F. Ferraty, and P. Vieu k-Nearest neighbor method in functional nonparametric regression Journal of Nonparametric Statistics 21 2009 453 469
8. J.A. Cuesta, and M. Febrero A simple multiway ANOVA for functional data Test 19 3 2010 537 557
9. A. Cuevas, M. Febrero, and R. Fraiman Linear functional regression: the case of fixed design and functional response Canadian Journal of Statistics 30 2002 285 300
10. A. Cuevas, M. Febrero, and R. Fraiman An ANOVA test for functional data Computational Statistics & Data Analysis 47 2004 111 122
11. A. Cuevas, M. Febrero, and R. Fraiman On the use of the bootstrap for estimating functions with functional data Computational Statistics & Data Analysis 51 2006 1063 1074 (Pubitemid 44635882)
12. M. Davidian, X. Lin, and J. Wang Introduction: Emerging issues in longitudinal and functional data analysis Statistica Sinica 14 2004 613164
13. P. Delicado Functional k-sample problem when data are density functions Computational Statistics 22 3 2007 391 410
14. P. Delicado Dimensionality reduction when data are density functions Computational Statistics & Data Analysis 55 1 2011 401 420
15. I. Epifanio, and N. Ventura-Campos Functional data analysis in shape analysis Computational Statistics & Data Analysis 55 1 2011 2758 2773
16. J. Fan, and S.K. Lin Test of significance when data are curves Journal of the American Statistical Association 93 443 1998 1007 1021
17. F. Ferraty, I. Van Keilegom, and P. Vieu On the validity of the bootstrap in non-parametric functional regression Scandinavian Journal of Statistics 37 2010 286 306
18. F. Ferraty, and P. Vieu Nonparametric Functional Data Analysis: Theory and Practice Springer Series in Statistics 2006 Springer New York
19. F. Ferraty, and P. Vieu Curves discrimination: a nonparametric functional approach Computational Statistics & Data Analysis 44 2003 161 173 (Pubitemid 37256992)
20. W. González-Manteiga, and A. Martínez-Calvo Bootstrap in functional linear regression Journal of Statistical Planning and Inference 141 2011 453 461
21. W. González-Manteiga, and P. Vieu Statistics for functional data Computational Statistics & Data Analysis 51 2007 4788 4792 (Pubitemid 46635903)
22. González-Rodríguez, G., Colubi, A., Gil, M.A., 2011. Fuzzy data treated as functional data: a one-way ANOVA test approach. In: Computational Statistics & Data Analysis, in press (doi:10.1016/j.csda.2010. 06.013).
23. P. Good Permutation Tests: A Practical Guide to Resampling Methods for Testing Hypotheses 2000 Springer Verlag New York
24. P. Hall, and I. Van Keilegom Two-sample tests in functional data analysis starting from discrete data Statistica Sinica 17 2007 1511 1531
25. F.J. Hickernell A generalized discrepancy and quadrature error bound Mathematics of Computation 68 1998 299 322
26. J.G.A. Jiofack, and G.M. Nkiet Testing for equality of means of a Hilbert space valued random variable Comptes Rendus de l'Academie des Sciences, Serie I (Mathematique) 347 2009 1429 1433
27. J. Kiefer k-Sample analogues of the KolmogorovSmirnov, Cramérvon Mises tests Ann. Math. Stat. 30 1959 420 447
28. R.H. Laha, and V.K. Rohatgi Probability Theory 1979 Wiley New York
29. P. Martínez-Camblor Non-parametric k-sample test based on kernel density estimator for paired design Computational Statistics & Data Analysis 54 2010 2035 2045
30. Martínez-Camblor, P., Carleos, C., Corral, N., 2010. Cramérvon Mises statistic for paired samples (unpublished manuscript).
31. P. Martínez-Camblor, and de Ua-lvarez Non-parametric k-sample tests: density functions vs distribution functions Computational Statistics & Data Analysis 53 9 2009 3344 3357
32. A. Mas Testing for the mean of random curves: a penalization approach Statistical Inference for Stochastic Processes 10 2 2007 147 163 (Pubitemid 44601219)
33. U. Munzel Nonparametric methods for paired samples Statistica Neerlandica 53 3 1999 277 286
34. J. Park, T. Gasser, and V. Rousson Structural components in functional data Computational Statistics & Data Analysis 53 9 2009 3452 3465
35. J.O. Ramsay, and B.W. Silverman Functional Data Analysis 1997 Springer New York
36. J.O. Ramsay, and B.W. Silverman Applied Functional Data Analysis. Methods and Case Studies 2002 Springer New York
37. J.O. Ramsay, and B.W. Silverman Applied Functional Data Analysis 2nd ed. 2005 Springer New York
38. O. Rosen, and W.K. Thompson A Bayesian regression model for multivariate functional data Computational Statistics & Data Analysis 53 11 2009 3773 3786
39. M.J. Valderrama An overview to modelling functional data Computational Statistics 22 3 2007 331 334
40. X. Zhao, J.S. Marron, and M.T. Wells The functional data analysis view of longitudinal data Statistica Sinica 14 2004 789 808 (Pubitemid 39499213)