Tags

Type your tag names separated by a space and hit enter

A semi-Markov model for stroke with piecewise-constant hazards in the presence of left, right and interval censoring.
Stat Med 2013; 32(4):697-713SM

Abstract

This paper presents a parametric method of fitting semi-Markov models with piecewise-constant hazards in the presence of left, right and interval censoring. We investigate transition intensities in a three-state illness-death model with no recovery. We relax the Markov assumption by adjusting the intensity for the transition from state 2 (illness) to state 3 (death) for the time spent in state 2 through a time-varying covariate. This involves the exact time of the transition from state 1 (healthy) to state 2. When the data are subject to left or interval censoring, this time is unknown. In the estimation of the likelihood, we take into account interval censoring by integrating out all possible times for the transition from state 1 to state 2. For left censoring, we use an Expectation-Maximisation inspired algorithm. A simulation study reflects the performance of the method. The proposed combination of statistical procedures provides great flexibility. We illustrate the method in an application by using data on stroke onset for the older population from the UK Medical Research Council Cognitive Function and Ageing Study.

Authors+Show Affiliations

National Heart Forum, London, U.K. venediktos.kapetanakis@heartforum.gov.ukNo affiliation info availableNo affiliation info available

Pub Type(s)

Journal Article
Research Support, Non-U.S. Gov't

Language

eng

PubMed ID

22903796

Citation

Kapetanakis, Venediktos, et al. "A semi-Markov Model for Stroke With Piecewise-constant Hazards in the Presence of Left, Right and Interval Censoring." Statistics in Medicine, vol. 32, no. 4, 2013, pp. 697-713.
Kapetanakis V, Matthews FE, van den Hout A. A semi-Markov model for stroke with piecewise-constant hazards in the presence of left, right and interval censoring. Stat Med. 2013;32(4):697-713.
Kapetanakis, V., Matthews, F. E., & van den Hout, A. (2013). A semi-Markov model for stroke with piecewise-constant hazards in the presence of left, right and interval censoring. Statistics in Medicine, 32(4), pp. 697-713. doi:10.1002/sim.5534.
Kapetanakis V, Matthews FE, van den Hout A. A semi-Markov Model for Stroke With Piecewise-constant Hazards in the Presence of Left, Right and Interval Censoring. Stat Med. 2013 Feb 20;32(4):697-713. PubMed PMID: 22903796.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A semi-Markov model for stroke with piecewise-constant hazards in the presence of left, right and interval censoring. AU - Kapetanakis,Venediktos, AU - Matthews,Fiona E, AU - van den Hout,Ardo, Y1 - 2012/08/18/ PY - 2011/10/26/received PY - 2012/05/04/revised PY - 2012/06/27/accepted PY - 2012/8/21/entrez PY - 2012/8/21/pubmed PY - 2013/12/16/medline SP - 697 EP - 713 JF - Statistics in medicine JO - Stat Med VL - 32 IS - 4 N2 - This paper presents a parametric method of fitting semi-Markov models with piecewise-constant hazards in the presence of left, right and interval censoring. We investigate transition intensities in a three-state illness-death model with no recovery. We relax the Markov assumption by adjusting the intensity for the transition from state 2 (illness) to state 3 (death) for the time spent in state 2 through a time-varying covariate. This involves the exact time of the transition from state 1 (healthy) to state 2. When the data are subject to left or interval censoring, this time is unknown. In the estimation of the likelihood, we take into account interval censoring by integrating out all possible times for the transition from state 1 to state 2. For left censoring, we use an Expectation-Maximisation inspired algorithm. A simulation study reflects the performance of the method. The proposed combination of statistical procedures provides great flexibility. We illustrate the method in an application by using data on stroke onset for the older population from the UK Medical Research Council Cognitive Function and Ageing Study. SN - 1097-0258 UR - https://www.unboundmedicine.com/medline/citation/22903796/A_semi_Markov_model_for_stroke_with_piecewise_constant_hazards_in_the_presence_of_left_right_and_interval_censoring_ L2 - https://dx.doi.org/10.1002/sim.5534 DB - PRIME DP - Unbound Medicine ER -