Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Thread Subject:
Cox PH estimation problem (with real data)

Subject: Cox PH estimation problem (with real data)

From: Economist

Date: 17 Oct, 2011 08:53:10

Message: 1 of 1

I have data on spell duration which I would like to analyze with the Cox PH model. The defining feature of the data is the year (or date to be exact) of when the spell started. Some spells have already ended, some will never end. The Kaplan Meier estimates for the data shows the following:

http://jmudaaaa.wippiespace.com/img_forums/cox_a.png

The Kaplan Meier estimates suggest that there is a "fixed component" that has increased significantly from the early years. I believe that this "fixed component" messes up my analysis. The problem is that the data seems to violate some of the Cox PH assumptions. The following figure shows the Cox PH survivor functions (-----) relative to the Kaplan Meier estimates. The Cox PH survivor functions have been adjusted with the year dummies (and some other dummies).

http://jmudaaaa.wippiespace.com/img_forums/cox_b.png

The figure suggests, in my opinion, that something is wrong.

However, if I subtract, and latter add, the "fixed component" of each year, I get a much much better match between the between Cox PH survivor functions and the Kaplan Meier estimates:

http://jmudaaaa.wippiespace.com/img_forums/cox_c.png

The problem is that the choice of "fixed components" is completely arbitrary, e.g. for 2008 I have set the fixed component to 250 days.

I would very much welcome any ideas of how to make the analysis more robust.

My ultimate goal is to estimate the survivor function for spells that started in 2010, i.e. the black dotted line in the third figure and last figure.

Tags for this Thread

No tags are associated with this thread.

What are tags?

A tag is like a keyword or category label associated with each thread. Tags make it easier for you to find threads of interest.

Anyone can tag a thread. Tags are public and visible to everyone.

Contact us