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

Bootstrap-based inference on the difference in the means of two correlated functional processes.
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DOI:
10.1002/sim.5439
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发表时间:
2012-11-20
影响因子:
2
通讯作者:
Punjabi, Naresh
Punjabi, Naresh
中科院分区:
医学3区
文献类型:
--
作者:
Crainiceanu, Ciprian M.;Staicu, Ana-Maria;Ray, Shubankar;Punjabi, Naresh

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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.
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