Time-dependent frailty model to gap times between recurrent events with application to epilepsy data

Samaneh Hossainzadeh; Soghrat Faghihzadeh; Mehdi Rahgozar; Ebrahim Hajizadeh; Seyed Sohrab Hashemi Fesharaki; Marzieh Gharakhani

Koomesh

Journal of Semnan University of Medical Sciences

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Time-dependent frailty model to gap times between recurrent events with application to epilepsy data

Author(s):

Samaneh Hossainzadeh

^,*,

Soghrat Faghihzadeh,

Mehdi Rahgozar,

Ebrahim Hajizadeh,

Seyed Sohrab Hashemi Fesharaki,

Marzieh Gharakhani

Koomesh:Vol. 17, issue 3; 761-771

Published online:Sep 28, 2016

Article type:Research Article

Received:Jun 01, 2015

Accepted:Oct 02, 2015

How to Cite:Samaneh HossainzadehSoghrat FaghihzadehMehdi RahgozarEbrahim HajizadehSeyed Sohrab Hashemi FesharakiMarzieh Gharakhaniet al.Time-dependent frailty model to gap times between recurrent events with application to epilepsy data.koomesh.17(3):e151227.

Abstract

Introduction: In recurrent event a specific event occur repeatedly over time for a person. The frailty models take into account this correlation and provide efficient inferences. The frailties are assumed to be constant over time that it may be insufficient. Therefore time-varying frailty models are more realistic models. The aim of this study was to fit a time-dependent frailty model in the gap time between recurrent events. Materials and methods: In this study, a time-dependent frailty model was introduced in the gap time between recurrent events, that was a generalization of the Wintrebert (2004) model in cluster data (center-effect). The parameters were estimated by Gaussian quadrature method. The model was applied to epilepsy data. Results: The time-dependent frailty model fitted better in compare to shared frailty model. The observation time for IED on EEG in 56 patients (%73 male, %34 veteran status) with epilepsy was studied. Age and veteran status were the two risk factors in the gap time between IEDs. Variance of frailty was significant too. Conclusion: The result of time-dependent frailty model was reliable when there were unknown time-dependent factors in medical data and make changes on times of occurring recurrent events. The Gaussian quadrature was an applied method to fit a time-dependent frailty model. The programming for this method was comfortable hence this method can cause time-dependent fraility models to be more practical in medical studies.

Keywords

Time-Dependent Frailty

Recurrent Event

Gaussian Quadrature

Epilepsy

شکنندگی وابسته به زمان

حوادث بازگشتی

مربع‌بندی گاوسی

صرع.

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