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Integrating relative survival in multi-state models—a non-parametric approach
ID Manevski, Damjan (Author), ID Putter, Hein (Author), ID Pohar Perme, Maja (Author), ID Bonneville, Edouard F (Author), ID Schetelig, Johannes (Author), ID Wreede, Liesbeth C. de (Author)

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Abstract
Multi-state models provide an extension of the usual survival/event-history analysis setting. In the medical domain, multi-state models give the possibility of further investigating intermediate events such as relapse and remission. In this work, a further extension is proposed using relative survival, where mortality due to population causes (i.e. non-disease-related mortality) is evaluated. The objective is to split all mortality in disease and non-disease-related mortality, with and without intermediate events, in datasets where cause of death is not recorded or is uncertain. To this end, population mortality tables are integrated into the estimation process, while using the basic relative survival idea that the overall mortality hazard can be written as a sum of a population and an excess part. Hence, we propose an upgraded non-parametric approach to estimation, where population mortality is taken into account. Precise definitions and suitable estimators are given for both the transition hazards and probabilities. Variance estimating techniques and confidence intervals are introduced and the behaviour of the new method is investigated through simulations. The newly developed methodology is illustrated by the analysis of a cohort of patients followed after an allogeneic hematopoietic stem cell transplantation. The work has been implemented in the R package mstate.

Language:English
Keywords:multi-state model, relative survival, mortality tables, competing risks, mstate
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:MF - Faculty of Medicine
Publication status:Published
Publication version:Version of Record
Year:2022
Number of pages:Str. 997-1012
Numbering:Vol. 31, iss. 6
PID:20.500.12556/RUL-144180 This link opens in a new window
UDC:311
ISSN on article:0962-2802
DOI:10.1177/09622802221074156 This link opens in a new window
COBISS.SI-ID:100836867 This link opens in a new window
Publication date in RUL:02.02.2023
Views:1027
Downloads:95
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Record is a part of a journal

Title:Statistical methods in medical research
Shortened title:Stat. methods med. res.
Publisher:SAGE
ISSN:0962-2802
COBISS.SI-ID:806420 This link opens in a new window

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Keywords:model več stanj, relativno preživetje, tabele umrljivosti

Projects

Funder:ARRS - Slovenian Research Agency
Funding programme:Young researchers

Funder:ARRS - Slovenian Research Agency
Project number:P3-0154
Name:Metodologija za analizo podatkov v medicini

Funder:ARRS - Slovenian Research Agency
Project number:J3-1761
Name:Število izgubljenih let kot mera bremena bolezni

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