2016
DOI: 10.5455/aim.2016.24.38-41
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Comparing Smoothing Techniques for Fitting the Nonlinear Effect of Covariate in Cox Models

Abstract: Background and Objective:Cox model is a popular model in survival analysis, which assumes linearity of the covariate on the log hazard function, While continuous covariates can affect the hazard through more complicated nonlinear functional forms and therefore, Cox models with continuous covariates are prone to misspecification due to not fitting the correct functional form for continuous covariates. In this study, a smooth nonlinear covariate effect would be approximated by different spline functions.Material… Show more

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Cited by 32 publications
(25 citation statements)
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“…To test whether the association with age differed between the menopausal status groups, we included an interaction term of menopausal status with age in the model and tested its significance with an analysis of variance (ANOVA). Furthermore, in order to take into account a potential non-linear relationship of age with CVD risk factors, restricted cubic splines for age were added to the model [22, 23]. The model was then tested for non-linearity with an ANOVA analysis.…”
Section: Methodsmentioning
confidence: 99%
“…To test whether the association with age differed between the menopausal status groups, we included an interaction term of menopausal status with age in the model and tested its significance with an analysis of variance (ANOVA). Furthermore, in order to take into account a potential non-linear relationship of age with CVD risk factors, restricted cubic splines for age were added to the model [22, 23]. The model was then tested for non-linearity with an ANOVA analysis.…”
Section: Methodsmentioning
confidence: 99%
“…In order to identify the optimal cutoff; time to treatment from the date of diagnosis and prostatectomy was introduced as a continuous variable in a multivariate cox regression model. Restricted cubic spline (RCS) function with four knots was used in cox model to allow nonlinear association between HR and time to treatment (2,25). RCS-based cox model was adjusted using all the pertinent pretreatment clinicodemographic variables including clinical GS, PSA, clinical T stage, race, age, and year of prostatectomy.…”
Section: Discussionmentioning
confidence: 99%
“…The proportional hazard assumptions of the Cox model were tested for each covariate by visually examining the parallelism of stratified survival curves, but no violations were detected. The relationship between number of ≥4 mm deep periodontal pockets and incident liver disease was examined using the penalized spline smoothing method adjusted for age, sex and number of teeth (edentulous subjects were excluded). P values <0.05 were considered statistically significant.…”
Section: Methodsmentioning
confidence: 99%