## Frequently Asked Questions

# Determining the median followup time in survival anlaysis.

FAQ# 1659 Last Modified 1-October-2010

Survival analysis often deals with experimental designs where different subjects are followed for different durations. How can one quantify the median followup time? Survival analysis (in Prism and other programs) tells you the median survival time. But what about the median time of followup?

Prism presents you with a table of number of subjects at risk over time. One thought is to look at this table and see how long it takes for the number to drop to half the starting value. But there are two reasons why the number-at-risk drops over time: a subject can die or his data can be censored. Looking merely at the number-at-risk table treats those two situations identically. If someone dies, you don't know how long they would have been followed. From the point of view of tracking followup time, the roles of deaths and censoring are sort of reversed.

Schemper and Smith (1) followed that idea to its conclusion and devised a clever method to obtain the median followup time. Run the data through the Kaplan-Meier analysis again, but with the meaning of the status indicator reversed. The end point is loss-of-followup (which is usually considered censoring). If the patient died, you can't know how long they would have been followed. So death censors the true but unknown observation time of an individual. So create a Kaplan Meier curve where loss of followup is the event being followed, and a death is treated as censoring the data.

In Prism:

- From the survival analysis results, click New, then Duplicate sheet.
- OK the dialog that lists the data being analyzed.
- On the parameters dialog, swap the two indicator variables. The default is for 1 to denote death and zero to denote censoring. Reverse this convention in the dialog (but leave the data alone).
- OK from the dialog and look at the results page. Ignore the log rank test and its P value. These values cannot be interpreted. Instead, look at the "median survival". Since you swapped the meaning of survival and censored, this value is really the median followup time.
- Note that the Kaplan-Meier graph created this way (which tracks number of patients being followed over time) is distinct from the Kaplan-Meier graph that tracks percent survival over time.

1. M Schemper and TL Smith. A note on quantifying follow-up in studies of failure time. Controlled clinical trials (1996) vol. 17 (4) pp. 343-346