2010
DOI: 10.1002/sim.3828
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A nonstationary Markov transition model for computing the relative risk of dementia before death

Abstract: This paper investigates the long-term behavior of the k-step transition probability matrix for a nonstationary discrete time Markov chain in the context of modeling transitions from intact cognition to dementia with mild cognitive impairment (MCI) and global impairment (GI) as intervening cognitive states. The authors derive formulas for the following absorption statistics: (1) the relative risk of absorption between competing absorbing states, and (2) the mean and variance of the number of visits among the tr… Show more

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Cited by 23 publications
(24 citation statements)
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“…Markov models provide a popular statistical approach for capturing the progression of chronic diseases (Aalen, et al, 1997, Corpechot, et al, 2000, Deuffic-Burban, et al, 2002, Gentleman, et al, 1994, Hsieh, et al, 2002, Kay, 1986, Longini, et al, 1989, Rangel-Frausto, et al, 1998). The models are also widely applied to investigate neurodegenerative disease processes such as AD dementia (Abner, et al, 2012, Commenges, et al, 2004, Harezlak, et al, 2003, Kryscio, et al, 2006, Salazar, et al, 2007, Yu, et al, 2010). The central structure of the model is represented by a transition probability or intensity (i.e.…”
Section: Methodsmentioning
confidence: 99%
“…Markov models provide a popular statistical approach for capturing the progression of chronic diseases (Aalen, et al, 1997, Corpechot, et al, 2000, Deuffic-Burban, et al, 2002, Gentleman, et al, 1994, Hsieh, et al, 2002, Kay, 1986, Longini, et al, 1989, Rangel-Frausto, et al, 1998). The models are also widely applied to investigate neurodegenerative disease processes such as AD dementia (Abner, et al, 2012, Commenges, et al, 2004, Harezlak, et al, 2003, Kryscio, et al, 2006, Salazar, et al, 2007, Yu, et al, 2010). The central structure of the model is represented by a transition probability or intensity (i.e.…”
Section: Methodsmentioning
confidence: 99%
“…We employed a multistate model to examine the visit-to-visit transitions between the categories of parkinsonism or death (appendix e-1). 9,10 Table 2 summarizes the more than 15,000 transitions recorded for the participants included in these analyses. For each of the parkinsonism categories, participants were more likely to remain in that category at the next annual assessment than to transition to another category (e.g., 69.8% of those without parkinsonism at the previous examination remained without parkinsonism at their subsequent examination).…”
mentioning
confidence: 99%
“…For example, reverse transitions are much easier to study under the discrete model as illustrated by Abner et al (2012). In addition, nonstationary risk factors such as a subject’s age can be incorporated into a Markov chain model (see, e.g., Yu et al (2010)). However, while Markov chain models can accommodate the simultaneous analysis of multiple events of interest and inclusion of competing risks through the states defined in the model, use of Markov chains have some potential limitations.…”
Section: Discussionmentioning
confidence: 99%