Supporting information may be found in the online version of this article.
Bootstrap-based inference on the difference in the means of two correlated functional processes†
Article first published online: 1 AUG 2012
Copyright © 2012 John Wiley & Sons, Ltd.
Statistics in Medicine
Volume 31, Issue 26, pages 3223–3240, 20 November 2012
How to Cite
Crainiceanu, C. M., Staicu, A.-M., Ray, S. and Punjabi, N. (2012), Bootstrap-based inference on the difference in the means of two correlated functional processes. Statist. Med., 31: 3223–3240. doi: 10.1002/sim.5439
- Issue published online: 11 OCT 2012
- Article first published online: 1 AUG 2012
- Manuscript Accepted: 18 APR 2012
- Manuscript Received: 1 FEB 2011
- National Institute Of Neurological Disorders And Stroke. Grant Number: R01NS060910
- U.S. National Science Foundation. Grant Number: DMS 1007466
- penalized splines;
- measurement error;
We propose nonparametric inference methods on the mean difference between two correlated functional processes. We compare methods that (1) incorporate different levels of smoothing of the mean and covariance; (2) preserve the sampling design; and (3) use parametric and nonparametric estimation of the mean functions. We apply our method to estimating the mean difference between average normalized δ power of sleep electroencephalograms for 51 subjects with severe sleep apnea and 51 matched controls in the first 4 ;h after sleep onset. We obtain data from the Sleep Heart Health Study, the largest community cohort study of sleep. Although methods are applied to a single case study, they can be applied to a large number of studies that have correlated functional data. Copyright © 2012 John Wiley & Sons, Ltd.