Generalized multilevel function-on-scalar regression and principal component analysis.

ABSTRACT: This manuscript considers regression models for generalized, multilevel functional responses: functions are generalized in that they follow an exponential family distribution and multilevel in that they are clustered within groups or subjects. This data structure is increasingly common across scientific domains and is exemplified by our motivating example, in which binary curves indicating physical activity or inactivity are observed for nearly 600 subjects over 5 days. We use a generalized linear model to incorporate scalar covariates into the mean structure, and decompose subject-specific and subject-day-specific deviations using multilevel functional principal components analysis. Thus, functional fixed effects are estimated while accounting for within-function and within-subject correl

SUBMITTER: Goldsmith J 

PROVIDER: S-EPMC4479975 | biostudies-literature | 2015 Jun

REPOSITORIES: biostudies-literature