Bootstrap-based inference on the difference in the means of two correlated functional processes

Statistics in Medicine

Volumn 31, Issue 26, 2012, Pages 3223-3240

  Crainiceanu, Ciprian M ^a   Staicu, Ana Maria ^b   Ray, Shubankar ^c   Punjabi, Naresh ^d  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

^c MERCK RESEARCH LABORATORIES   (United States)

^d JOHNS HOPKINS BLOOMBERG SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

EEG; Measurement error; Penalized splines; Sleep; Spectrogram

Indexed keywords

ARTICLE; BAYES THEOREM; BOOTSTRAPPING; COHORT ANALYSIS; CONTROLLED STUDY; CORRELATION ANALYSIS; DATA ANALYSIS; DISEASE SEVERITY; ELECTROENCEPHALOGRAM; HUMAN; MAGNITUDE ESTIMATION METHOD; MAJOR CLINICAL STUDY; NONPARAMETRIC TEST; PARAMETRIC TEST; POLYSOMNOGRAPHY; SLEEP DISORDERED BREATHING; SLEEP PATTERN; STATISTICAL ANALYSIS;

BIOSTATISTICS; COHORT STUDIES; CONFIDENCE INTERVALS; HUMANS; MODELS, STATISTICAL; SLEEP APNEA SYNDROMES; STATISTICS, NONPARAMETRIC;

EID: 84867490161     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.5439     Document Type: Article

References (40)

1. Hansen LP.Large sample properties of generalized method of moments estimators. Econometrica 1982; 50:1029-1054.
2. Hardin J, Hilbe J.Generalized Estimating Equations. Chapman & Hall/CRC: Boca Raton, FL, USA, 2003.
3. Liang KY, Zeger S.Longitudinal data analysis using generalized linear models. Biometrika 1986; 73(1):13-22.
4. Demidenko E.Mixed Models: Theory and Applications. John Wiley & Sons: Hoboken, New Jersey, 2004.
5. McCulloch C, Shayle R Searle S, Neuhaus J.Generalized, Linear, and Mixed Models. John Wiley & Sons: Hoboken, NewJersey, 2008.
6. Qu A, Lindsay BG, Li B.Improving generalised estimating equations using quadratic inference functions. Biometrika 2000; 87:823-836.
7. Verbeke G, Molenberghs G.Linear Mixed Models for Longitudinal Data. Springer Verlag: New York, 2000.
8. Yin G.Bayesian generalized method of moments. Bayesian Analysis 2009; 4(1):1-17.
9. Beran J, Feng Y.Local polynomial estimation with FARIMA-GARCH error process. Bernoulli 2001; 7:733-750.
10. Currie I, Durban M.Flexible smoothing with PUsplines: a unified approach. Statistical Modelling 2002; 2:333-349.
11. Krivobokova T, Kauermann G.A note on penalized splines with correlated errors. Journal of the American Statistical Association 2007; 102(480):1328-1337.
12. Ray B, Tsay R.Bandwidth selection for kernel regression with long-range dependent errors. Biometrika 1997; 84:791-802.
13. Wang Y.Smoothing spline models with correlated random errors. Journal of the American Statistical Association 1998; 93:341-348.
14. Benko M, Härdle W, Kneip A.Common functional principal components. Annals of Statistics 2009; 37:1-34.
15. Hall P, VanKeilegom I.Two sample tests in functional data analysis, starting from discrete data. Statistica Sinica 2007; 17:1511-1531.
16. Zhang C, Peng H, Zhang JT.Two sample inference in functional linear models. Communications in Statistics - Theory and Methods 2010; 39:559-578.
17. Behseta S, Kass RE.Testing equality of two functions using bars. Statistics in Medicine 2005; 24:3523-3534.
18. Behseta S, Kass RE, Moorman DE, Olson CR.Testing equality of several functions: analysis of single-unit firing rate curves across multiple experimental conditions. Statistics in Medicine 2007; 26:3958-3975.
19. Morris JS, Vanucci M, Brown PJ, Carroll RJ.Wavelet-based nonparametric modeling of hierarchical functions in colon carcinogenesis. Journal of the American Statistical Association 2003; 98:573-583.
20. Morris JS, Carroll RJ.Wavelet-based functional mixed models. Journal of the Royal Statistical Society, B 2006; 68:179-199.
21. Morris JS, Brown PJ, Herrick RC, Baggerly KA, Coombes KR.Bayesian analysis of mass spectrometry data using wavelet based functional mixed models. Biometrics 2008; 12:479-489.
22. Morris JS, Baladandauthapani V, Herrick RC, Sanna PP, Gutstein HG.Automated analysis of quantitative image data using isomorphic functional mixed models, with application to proteomic data. Annals of Applied Statistics 2011; 5(2A):894-923.
23. Quan SF, Howard BV, Iber C, Kiley JP, Nieto FJ, O'Connor GT, Rapoport DM, Redline S, Robbins J, Samet JM, Wahl PW.The Sleep Heart Health Study: design, rationale, and methods. Sleep 1997; 20:1077-1085.
24. Crainiceanu CM, Staicu AM, Di CZ.Generalized multilevel functional regression. Journal of the American Statistical Association 2009; 104:1550-1561.
25. Crainiceanu C, Caffo B, Di CZ, Punjabi N.Nonparametric signal extraction and measurement error in the analysis of electroencephalographic activity during sleep. Journal of the American Statistical Association 2009; 104(486):541-555.
26. Di CZ, Crainiceanu CM, Caffo BS, Punjabi NM.Multilevel functional principal component analysis. Annals of Applied Statistics 2009; 3(1):458-488. Online access 2008.
27. Swihart BJ, Caffo BS, Crainiceanu CM, Punjabi NM.Modeling multilevel sleep transitional data via poisson log-linear multilevel models. Collection of Biostatistics Research Archive (COBRA) November 2009. Johns Hopkins University, Dept. of Biostatistics Working Papers. Working Paper 212. (Available from: http://www.bepress.com/jhubiostat/paper212).
28. Swihart BJ, Caffo BS, Bandeen-Roche K, Punjabi NM.Characterizing sleep structure using the hypnogram. Journal of Clinical Sleep Medicine 2008; 4(4):349-355.
29. O'Sullivan F.A statistical perspective on ill-posed inverse problems (with discussion). Statistical Science 1986; 1:505-527.
30. Ruppert D, Wand MP, Carroll RJ.Semiparametric Regression. Cambridge University Press: Cambridge, UK, 2003.
31. Wood S.Generalized Additive Models. An Introduction with R. Chapman & Hall/CRC: Boca Raton, FL, USA, 2006.
32. R Development Core Team.R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing: Vienna, Austria, 2010. (Available from: http://www.R-project.org/), ISBN 3-900051-07-0.
33. Wand M, Coull B, French J, Ganguli B, Kammann E, Staudenmayer J, Zanobetti A.Semipar 1.0. r package.
34. Staniswalis J, Lee J.Nonparametric regression analysis of longitudinal data. Journal of the American Statistical Association 1998; 93(444):1403-1418.
35. Staicu A-M, Crainiceanu CM, Carroll RJ.Fast methods for spatially correlated multilevel functional data. Biostatistics 2010; 11(2):177-194.
36. Indritz J.Methods in Analysis. Macmillan & Collier-Macmillan: New York, 1963.
37. Karhunen K.Über lineare Methoden in der Wahrscheinlichkeitsrechnung. Annales Academiæ Scientiarum Fennicæ, Series A1: Mathematica-Physica, Suomalainen Tiedeakatemia 1947; 37:3-79.
38. Loève M.Functions Aleatoire de Second Ordre. Comptes Rendus de l'Académie des Sciences 1945; 220.
39. Zhou L, Huang JZ, Martinez JG, Maity A, Baladandayuthapani V, Carroll RJ.Reduced rank mixed effects models for spatially correlated hierarchical functional data. Journal of the American Statistical Association 2010; 105(489):390-400.
40. Greven S, Crainiceanu C, Caffo B, Reich D.Longitudinal functional principal component analysis. Electronic Journal of Statistics 2010; 4:1022-1054.