@article {Miller:2012:0035-9254:693, author = "Miller, Claire and Bowman, Adrian", title = "Smooth principal components for investigating changes in covariances over time", journal = "Journal of the Royal Statistical Society: Series C (Applied Statistics)", volume = "61", number = "5", year = "2012", abstract = "Summary.  The complex interrelated nature of multivariate systems can result in relationships and covariance structures that change over time. Smooth principal components analysis is proposed as a means of investigating whether and how the covariance structure of multiple response variables changes over time, after removing a smooth function for the mean, and this is motivated and illustrated by using data from an aircraft technology study and a lake ecosystem. Inferential procedures are investigated in the cases of independent and dependent errors, with a bootstrapping procedure proposed to detect changes in the direction or variance of components.", pages = "693-714", url = "http://www.ingentaconnect.com/content/bpl/rssc/2012/00000061/00000005/art00002", doi = "doi:10.1111/j.1467-9876.2012.01037.x" }