topic What does it mean if i get a c statistic of 0.661 in New SAS User

What does it mean if i get a c statistic of 0.661

hz16g22 — Tue, 07 Mar 2023 22:03:29 GMT

I am doing a logistic regression model for this database, and I got a C stat of 0.661

44   proc logistic data=amphibians;
45       model rich_site(event='1')= NR SR FR RR;
46   run;

NOTE: PROC LOGISTIC is modeling the probability that rich_site=1.
NOTE: Convergence criterion (GCONV=1E-8) satisfied.
NOTE: There were 189 observations read from the data set WORK.AMPHIBIANS.
NOTE: PROCEDURE LOGISTIC used (Total process time):
      real time           0.06 seconds
      cpu time            0.00 seconds

This is what I got in the results

Is this good or bad?

Re: What does it mean if i get a c statistic of 0.661

PaigeMiller — Tue, 07 Mar 2023 22:14:07 GMT

https://www.statology.org/how-to-interpret-the-c-statistic-of-a-logistic-regression-model/

Generally, in any model fitting there is no black-and-white "good or bad". Each statistic has to be interpreted in context of the problem itself, and perhaps with reference to other models that have been previously fit on this or similar data.

Another statistic you might want to look at is the percent of correct predictions from this logistic regression.