Validation of the smooth test of goodness-of-fit for proportional hazards in Cancer survival studies
Date
2017
Authors
Odhiambo, Collins
Odhiambo, John
Omolo, Bernard
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
In this study, we validate the smooth test of goodness-of-fit for the proportionality of the hazard function in the two-sample problem in cancer survival studies. The smooth test considered here is an extension of Neyman’s smooth test for proportional hazard functions. Simulations are conducted to compare the performance of the smooth test, the data-driven smooth test, the Kolmogorov-Smirnov proportional hazards test and the global test, in terms of power. Eight real cancer datasets from different settings are assessed for the proportional hazard assumption in the Cox proportional hazard models, for validation. The smooth test performed best and is independent of the number of covariates in the Cox proportional hazard models.
Description
Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.
Keywords
Cancer, Cox proportional hazards model, Global test, Neyman’s smooth test, Two-sample problem