Title
BOOTSTRAP-BASED INFERENCE ON THE DIFFERENCE IN THE MEANS OF TWO CORRELATED FUNCTIONAL PROCESSES
Abstract
Nonparametric inference methods on the mean difference between two correlated Functional processes are proposed. 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 hours after sleep onset. Data are obtained from the Sleep Heart Health Study (SHHS), the largest community cohort study of sleep. While methods are applied to a single case study, they can be applied to a large number of studies that have correlated functional data.
Disciplines
Biostatistics
Suggested Citation
Crainiceanu, Ciprian M.; Staicu, Ana-Maria; Ray, Shubankar; and Punjabi, Naresh, "BOOTSTRAP-BASED INFERENCE ON THE DIFFERENCE IN THE MEANS OF TWO CORRELATED FUNCTIONAL PROCESSES" (March 2012). Johns Hopkins University, Dept. of Biostatistics Working Papers. Working Paper 225.
https://biostats.bepress.com/jhubiostat/paper225