Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Direct Adjustment Method On Aalen's Additive Hazards Model For Competing Risks Data, Haci Mustafa Akcin
Direct Adjustment Method On Aalen's Additive Hazards Model For Competing Risks Data, Haci Mustafa Akcin
Mathematics Theses
Aalen’s additive hazards model has gained increasing attention in recently years because it model all covariate effects as time-varying. In this thesis, our goal is to explore the application of Aalen’s model in assessing treatment effect at a given time point with varying covariate effects. First, based on Aalen’s model, we utilize the direct adjustment method to obtain the adjusted survival of a treatment and comparing two direct adjusted survivals, with univariate survival data. Second, we focus on application of Aalen’s model in the setting of competing risks data, to assess treatment effect on a particular type of failure. The …
Omnibus Tests For Comparison Of Competing Risks With Covariate Effects Via Additive Risk Model, Duytrac Vu Nguyen
Omnibus Tests For Comparison Of Competing Risks With Covariate Effects Via Additive Risk Model, Duytrac Vu Nguyen
Mathematics Theses
It is of interest that researchers study competing risks in which subjects may fail from any one of K causes. Comparing any two competing risks with covariate effects is very important in medical studies. This thesis develops omnibus tests for comparing cause-specific hazard rates and cumulative incidence functions at specified covariate levels. In the thesis, the omnibus tests are derived under the additive risk model, that is an alternative to the proportional hazard model, with by a weighted difference of estimates of cumulative cause-specific hazard rates. Simultaneous confidence bands for the difference of two conditional cumulative incidence functions are also …