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dc.contributor.authorOrwa, Albert Otieno
dc.contributor.authorOrwa, George Otieno
dc.contributor.authorOtieno, Romanus Odhiambo
dc.date.accessioned2018-11-21T16:03:25Z
dc.date.accessioned2020-02-06T13:48:24Z
dc.date.available2018-11-21T16:03:25Z
dc.date.available2020-02-06T13:48:24Z
dc.date.issued2014
dc.identifier.citationOrwa, A. O., Orwa, G. O., & Odhiambo, R. (2014). Deriving Penalized Splines For Estimation Of Time Varying Effects In Survival Data. International Journal of Scientific & Technology Research, 3(8), 175-181.en_US
dc.identifier.urihttps://pdfs.semanticscholar.org/8346/c6a0a5d1387f4f46b673cfec5b0e0b772d52.pdf
dc.identifier.urihttp://repository.must.ac.ke/handle/123456789/951
dc.description.abstractThe major interests of survival analysis are either to compare the failure time distribution function or to assess the effects of covariate on survival via appropriate hazards regression models. Cox’s proportional hazards model (Cox, 1972) is the most widely used framework, the model assumes that the effect on the hazard function of a particular factor of interest remains unchanged throughout the observation period (Proportionality assumption). For a continuous prognostic factor the model further assumes linear effect on the log hazard function (Linearity assumption). Assumptions that many authors have found to be questionable when violated since they may result to biased results and conclusions and as such non-linear risk functions have been suggested as the suitable models.In this paper, we propose a flexible method that models dynamic effects in survival data within the Cox regression framework. The method is based on penalized splines. The model offers the chance to easily verify the presenceof PH and timevariation. We provide a detailed analysis and derivation of the penalized splines in the context of survival data.en_US
dc.language.isoenen_US
dc.publisherInternational Journal of Scientific & Technology Researchen_US
dc.subjectNon-linear, Penalized splines, Proportional Hazard, Survival analysisen_US
dc.titleDeriving Penalized Splines For Estimation Of Time Varying Effects In Survival Dataen_US
dc.typeArticleen_US


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