Multilevel Cross-Dependent Binary Longitudinal Data

Nicoleta Serban, Ana-Maria Staicu, Raymond J. Carroll

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


We provide insights into new methodology for the analysis of multilevel binary data observed longitudinally, when the repeated longitudinal measurements are correlated. The proposed model is logistic functional regression conditioned on three latent processes describing the within- and between-variability, and describing the cross-dependence of the repeated longitudinal measurements. We estimate the model components without employing mixed-effects modeling but assuming an approximation to the logistic link function. The primary objectives of this article are to highlight the challenges in the estimation of the model components, to compare two approximations to the logistic regression function, linear and exponential, and to discuss their advantages and limitations. The linear approximation is computationally efficient whereas the exponential approximation applies for rare events functional data. Our methods are inspired by and applied to a scientific experiment on spectral backscatter from long range infrared light detection and ranging (LIDAR) data. The models are general and relevant to many new binary functional data sets, with or without dependence between repeated functional measurements.
Original languageEnglish (US)
Pages (from-to)903-913
Number of pages11
Issue number4
StatePublished - Oct 16 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-CI-016-04
Acknowledgements: Serban's research was supported by the National Science Foundation Grant CMMI-0954283. Staicu's research was supported by U.S. National Science Foundation grant number DMS-1007466. Carroll's research was supported by the National Cancer Institute Grant R37-CA057030 and in part supported by Award Number KUS-CI-016-04, made by King Abdullah University of Science and Technology (KAUST). The authors thank to the referees and associate editor for helpful comments.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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