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Biostatistics Advance Access originally published online on June 1, 2006
Biostatistics 2007 8(2):252-264; doi:10.1093/biostatistics/kxl006
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© The Author 2006. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org.

Statistical methods for panel data from a semi-Markov process, with application to HPV

Minhee Kang* and Stephen W. Lagakos

Department of Biostatistics, Harvard University School of Public Health, 655 Huntington Avenue, Boston, MA 02115, USA mkang{at}hsph.harvard.edu

* To whom correspondence should be addressed.

Continuous-time, multistate processes can be used to represent a variety of biological processes in the public health sciences; yet the analysis of such processes is complex when they are observed only at a limited number of time points. Inference methods for such panel data have been developed for time homogeneous Markov models, but there has been little research done for other classes of processes. We develop likelihood-based methods for panel data from a semi-Markov process, where transition intensities depend on the duration of time in the current state. The proposed methods account for possible misclassification of states. To illustrate the methods, we investigate a three- and a four-state models in detail and apply the results to model the natural history of oncogenic genital human papillomavirus infections in women.

Keywords: Human papillomavirus; Misclassification; Multistate process; Natural history

Received October 9, 2005; revised May 18, 2006; accepted for publication May 31, 2006.


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