Use of Survival Data in Multivariate Adaptive Regression Analysis: Simulation Study

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dc.contributor.authorTürkegün Şengül, Merve
dc.contributor.authorTemel, Gülhan Orekici
dc.contributor.authorKaya, Irem Ersöz
dc.date.accessioned2025-03-17T12:18:33Z
dc.date.available2025-03-17T12:18:33Z
dc.date.issued2023
dc.departmentTarsus Üniversitesi
dc.description.abstractObjective: The multivariate adaptive regression splines (MARS) is very effective in order to model linear or non- linear relationships. The Cox regression residuals-based MARS model, which integrates Cox regression and MARS approaches, was created to assess the relationships between efficient risk factors on the survival. The purpose of this study is to introduce the Sur- vival-MARS (SM) model which uses the Cox-Snell, Martingale, and deviance residuals. Also,our aim is to compare the performance of the models created with residuals at different sample sizes and correlation levels with the simulation study in order to determine the most effective residual type that can be used in the SM model. Material and Methods: Performances of SM models that use Cox- Snell,Martingale, and deviance residual types were compared at different sample sizes (n = 30, 100, 150, 250, 500, 1.000), with both no correlation (r = 0.00) and medium (r = 0.50) and high (r = 0.90) correlations between predictors. SM model performances were compared via minimum generalized cross-validation and the sum of mean squared error values.. Results: In all scenarios, SM models with Cox-Snell residuals have the best performance compared to other models established with other residuals. Martingale and devi- ance residuals were affected by high correlation and low sample sizes. Conclusion: In case of linear relationship between risk fac- tors, SM models with Cox-Snell residuals are quite successful in explaining these relationship structures and enable the effects on the dependent variable to easily interpret.
dc.identifier.doi10.5336/biostatic.2022-94594
dc.identifier.endpage51
dc.identifier.issn1308-7894
dc.identifier.issn2146-8877
dc.identifier.issue1
dc.identifier.startpage42
dc.identifier.trdizinid1258799
dc.identifier.urihttps://doi.org/10.5336/biostatic.2022-94594
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1258799
dc.identifier.urihttps://hdl.handle.net/20.500.13099/848
dc.identifier.volume15
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofTürkiye Klinikleri Biyoistatistik Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR_20250316
dc.subjectCox regression
dc.subjectMultivariate adaptive regression splines
dc.subjectCox-Snell residual
dc.subjectMartingale residual
dc.subjectdeviance residual
dc.titleUse of Survival Data in Multivariate Adaptive Regression Analysis: Simulation Study
dc.typeArticle

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