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Title: Power analysis of approximation methods for parameter estimation in Cox regression model with longitudinal covariate and tied survival times
Authors: Bahçecitapar, M.
Yıldırım, E.
Karasoy, D.
Keywords: Cox model
Longitudinal covariate
Satistical power
Tied survival times
Approximation theory
Monte Carlo methods
Regression analysis
Approximation methods
Cox model
Cox's regression model
Longitudinal covariate
Satistical power
Statistical power
Survival time
Tied survival time
Issue Date: 2023
Publisher: Taylor and Francis Ltd.
Abstract: Cox regression model (CRM) with time-varying covariates is widely used in medical and health related studies to investigate the effects of longitudinal variables on survival. In this paper, tied survival refers to units in which different subjects have the same survival time, while the term interaction indicates the relationship between longitudinal covariate and survival time. Unlike previous studies, we calculate the statistical power of Wald (Formula presented.) statistics to test the interaction term based on Monte Carlo (MC) simulations when Breslow, Efron, Discrete, and Exact approximation methods are used for handling tied survival times. A linear mixed effect model (LMM) is used to generate longitudinal covariate such as time-varying covariate in simulations. A numerical example is provided to illustrate the CRM with the interaction term between longitudinal covariate and survival time. Using extensive MC simulations under different conditions for censored proportion, type I error, and number of subjects, statistical power of Wald (Formula presented.) statistics is calculated using four different methods in the CRM. Statistical power value calculated using Breslow method is usually lower than statistical power values calculated when the other three methods are used. The proportion of censored observations in survival analysis has an important effect on power calculations. © 2023 Taylor & Francis Group, LLC.
Description: Article; Early Access
ISSN: 0361-0918
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections

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