# What is a competing risk analysis?

## What is a competing risk analysis?

Competing risk analysis refers to a special type of survival analysis that aims to correctly estimate marginal probability of an event in the presence of competing events.

## What is fine and gray regression model?

As remedy, Fine and Gray  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.

What is a Subdistribution hazard ratio?

The subdistribution hazard function, introduced by Fine and Gray, for a given type of event is defined as the instantaneous rate of occurrence of the given type of event in subjects who have not yet experienced an event of that type.

### What is cumulative incidence function?

Cumulative incidence function is a proper summary statistics for analyzing competing risks data. Cumulative incidence function is estimated by modeling the cause-specific hazard function of all causes. Gray’s test compare the cumulative incidence function directly.

### How is stcrreg used in Stata Cox regression?

Stata’s new stcrreg command implements competing-risks regression based on Fine and Gray’s proportional subhazards model. In Cox regression, you focus on the survivor function, which indicates the probability of surviving beyond a given time.

What to look for in a competing risk regression?

In competing-risks regression, you instead focus on the cumulative incidence function, which indicates the probability of the event of interest happening before a given time.

#### When to use Cox regression or competing risks regression?

Competing-risks regression. Competing-risks survival regression provides a useful alternative to Cox regression in the presence of one or more competing risks. For example, say that you are studying the time from initial treatment for cancer to recurrence of cancer in relation to the type of treatment administered and demographic factors.

#### What is the survivor function in Stata stcrreg?

Stata’s stcrreg implements competing-risks regression based on Fine and Gray’s proportional subhazards model. In Cox regression, you focus on the survivor function, which indicates the probability of surviving beyond a given time. In competing-risks regression, you instead focus on…