Contents
What is sub hazard?
The sub-hazard function includes subjects who have had a competing event in the risk set; a patient is still considered at risk of death from cancer even after they have died from cardiovascular disease.
What is a cause specific hazard ratio?
Therefore, the cause‐specific hazard ratio denotes the relative change in the instantaneous rate of the occurrence of the primary event in subjects who are currently event‐free. Thus, the cause‐specific hazard ratio can be interpreted as a rate ratio.
What is a fine and Gray regression model?
As remedy, Fine and Gray [22] proposed CIF based PH model to analyze survival data arising from a competing risk setup. In the competing risks setup, under each cause for the occurrence of an event of interest, a hazard function in the presence of covariates is considered.
Which is an example of a competing risk?
Examples: In cancer studies, deaths from other causes (such as heart disease, diabetes, etc.) are considered competing risks. After a bone marrow transplantation, patients are fol- lowed to evaluate \\leukemia-free survival”, so the end- point is time to leukemia relapse or death, whichever occurs rst.
Can a fine and gray model be used for a competing risk analysis?
The Fine and Gray model can also be extended to allow for time-dependent covariates. Today, analysis of competing data using either non-parametric or parametric method is available in the major statistical packages including R , STATA and SAS.
How is the CIF used in a competing risk analysis?
Like many analyses, the competing risk analysis includes a non-parametric method which involves the use of a modified Chi-squared test to compare CIF curves between groups, and a parametric approach which model the CIF based on a subdistribution hazard function.
How is the probability of a competing event regulated?
As a result, we call the probability of these events as “competing risks”, in a sense that the probability of each competing event is somehow regulated by the other competing events, which has an interpretation suitable to describe the survival process determined by multiple types of events.