1 / 5

the Cox proportional hazards model (Cox Regression Model)

the Cox proportional hazards model (Cox Regression Model). Cox Regression. h ( t ), represents how the risk changes with time, and e xp represents the effect of covariates (or factors/features) identifying significant prognostic factors most commonly used. Cox Regression.

redford
Download Presentation

the Cox proportional hazards model (Cox Regression Model)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. the Cox proportional hazards model(Cox Regression Model)

  2. Cox Regression • h(t), represents how the risk changes with time, and exp represents the effect of covariates (or factors/features) • identifying significant prognostic factors • most commonly used

  3. Cox Regression • To estimate the coefficients, β, Cox (1972) proposes a partial likelihood function based on a conditional probability of failure Statistical Methods for Survival Data Analysis, Third Edition, A JOHN WILEY & SONS, INC., PUBLICATION • By solving the regression problem, we get: • Regression Coefficient (>0 bad, <0 good, =0 no effect) • Standard Error • p-Value

  4. A Example • The estimated risk of dying for patients at least 50 years of age is exp(1.01)=2.75 times higher than that for patients younger than 50. • Patients with 100% cellularity have a 42% higher risk of dying than patients with less than 100% cellularity. • If we consider standard Error • Age (1.12, 6.75) • Cellularity (0.60, 3.35)

  5. Thanks

More Related