Multilevel mixed effects parametric survival models using adaptive Gauss–Hermite quadrature with application to recurrent events and individual participant data meta‐analysis. (1st May 2014)
- Record Type:
- Journal Article
- Title:
- Multilevel mixed effects parametric survival models using adaptive Gauss–Hermite quadrature with application to recurrent events and individual participant data meta‐analysis. (1st May 2014)
- Main Title:
- Multilevel mixed effects parametric survival models using adaptive Gauss–Hermite quadrature with application to recurrent events and individual participant data meta‐analysis
- Authors:
- Crowther, Michael J.
Look, Maxime P.
Riley, Richard D. - Abstract:
- <abstract abstract-type="main" id="sim6191-abs-0001"> <title>Abstract</title> <p id="sim6191-para-0001">Multilevel mixed effects survival models are used in the analysis of clustered survival data, such as repeated events, multicenter clinical trials, and individual participant data (IPD) meta‐analyses, to investigate heterogeneity in baseline risk and covariate effects. In this paper, we extend parametric frailty models including the exponential, Weibull and Gompertz proportional hazards (PH) models and the log logistic, log normal, and generalized gamma accelerated failure time models to allow any number of normally distributed random effects. Furthermore, we extend the flexible parametric survival model of Royston and Parmar, modeled on the log‐cumulative hazard scale using restricted cubic splines, to include random effects while also allowing for non‐PH (time‐dependent effects). Maximum likelihood is used to estimate the models utilizing adaptive or nonadaptive Gauss–Hermite quadrature. The methods are evaluated through simulation studies representing clinically plausible scenarios of a multicenter trial and IPD meta‐analysis, showing good performance of the estimation method. The flexible parametric mixed effects model is illustrated using a dataset of patients with kidney disease and repeated times to infection and an IPD meta‐analysis of prognostic factor studies in patients with breast cancer. User‐friendly Stata software is provided to implement the methods.<abstract abstract-type="main" id="sim6191-abs-0001"> <title>Abstract</title> <p id="sim6191-para-0001">Multilevel mixed effects survival models are used in the analysis of clustered survival data, such as repeated events, multicenter clinical trials, and individual participant data (IPD) meta‐analyses, to investigate heterogeneity in baseline risk and covariate effects. In this paper, we extend parametric frailty models including the exponential, Weibull and Gompertz proportional hazards (PH) models and the log logistic, log normal, and generalized gamma accelerated failure time models to allow any number of normally distributed random effects. Furthermore, we extend the flexible parametric survival model of Royston and Parmar, modeled on the log‐cumulative hazard scale using restricted cubic splines, to include random effects while also allowing for non‐PH (time‐dependent effects). Maximum likelihood is used to estimate the models utilizing adaptive or nonadaptive Gauss–Hermite quadrature. The methods are evaluated through simulation studies representing clinically plausible scenarios of a multicenter trial and IPD meta‐analysis, showing good performance of the estimation method. The flexible parametric mixed effects model is illustrated using a dataset of patients with kidney disease and repeated times to infection and an IPD meta‐analysis of prognostic factor studies in patients with breast cancer. User‐friendly Stata software is provided to implement the methods. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract> … (more)
- Is Part Of:
- Statistics in medicine. Volume 33:Number 22(2014)
- Journal:
- Statistics in medicine
- Issue:
- Volume 33:Number 22(2014)
- Issue Display:
- Volume 33, Issue 22 (2014)
- Year:
- 2014
- Volume:
- 33
- Issue:
- 22
- Issue Sort Value:
- 2014-0033-0022-0000
- Page Start:
- 3844
- Page End:
- 3858
- Publication Date:
- 2014-05-01
- Subjects:
- Medical statistics -- Periodicals
Statistique médicale -- Périodiques
Statistiques médicales -- Périodiques
610.727 - Journal URLs:
- http://onlinelibrary.wiley.com/ ↗
- DOI:
- 10.1002/sim.6191 ↗
- Languages:
- English
- ISSNs:
- 0277-6715
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 8453.576000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 3814.xml