A discrete-state discrete-time model using indirect observation
Isaman, Deanna J. M.; Herman, William H.; Brown, Morton B.
2006-03-30
Citation
Isaman, Deanna J. M.; Herman, William H.; Brown, Morton B. (2006). "A discrete-state discrete-time model using indirect observation." Statistics in Medicine 25(6): 1035-1049. <http://hdl.handle.net/2027.42/50629>
Abstract
This research was motivated by a desire to model the progression of a chronic disease through various disease stages when data are not available to directly estimate all the transition parameters in the model. This is a common occurrence when time and expense make it infeasible to follow a single cohort to estimate all the transition parameters. One difficulty of developing a model of chronic disease progression from such data is that the available studies often do not include the transitions of interest. For example, in our model of diabetic nephropathy, many clinical studies did not differentiate between patients without nephropathy and those who had microalbuminuria (a pre-clinical stage of nephropathy). Another difficulty was a lack of data to directly estimate parameters of interest. We consider models which can accommodate such difficulties. In this paper we consider the problem of estimating parameters of a discrete-time Markov process when longitudinal data describing the entire process are not available. First, we present a likelihood approach to estimate parameters of a discrete-time Markov model. Next, we use simulation to investigate the finite-sample behaviour of our approach. Finally, we present two examples: a model of diabetic nephropathy and a model of cardiovascular disease in diabetes. Copyright © 2006 John Wiley & Sons, Ltd.Publisher
John Wiley & Sons, Ltd.
ISSN
0277-6715 1097-0258
Other DOIs
PMID
16416413
Types
Article
URI
http://www.ncbi.nlm.nih.gov/sites/entrez?cmd=retrieve&db=pubmed&list_uids=16416413&dopt=citationMetadata
Show full item recordAccessibility: If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.