@article {679, title = {Bootstrap-based inference on the difference in the means of two correlated functional processes.}, journal = {Stat Med}, year = {2012}, month = {2012 Aug 1}, abstract = {

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 {\textcopyright} 2012 John Wiley \& Sons, Ltd.

}, issn = {1097-0258}, doi = {10.1002/sim.5439}, author = {Crainiceanu, C and Staicu, A. M. and Ray, Shubankar and Punjabi, Naresh} }