Title | Bootstrap-based inference on the difference in the means of two correlated functional processes. |
Publication Type | Journal Article |
Year of Publication | 2012 |
Authors | Crainiceanu, CM, Staicu, A-M, Ray, S, Punjabi, N |
Journal | Stat Med |
Volume | 31 |
Issue | 26 |
Pagination | 3223-40 |
Date Published | 2012 Nov 20 |
ISSN | 1097-0258 |
Keywords | Biostatistics, Cohort Studies, Confidence Intervals, Humans, Models, Statistical, Sleep Apnea Syndromes, Statistics, Nonparametric |
Abstract | <p>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.</p> |
DOI | 10.1002/sim.5439 |
Alternate Journal | Stat Med |
PubMed ID | 22855258 |
PubMed Central ID | PMC3966027 |
Grant List | R01 NS060910 / NS / NINDS NIH HHS / United States R01NS060910 / NS / NINDS NIH HHS / United States |