I am trying to evaluate the explanatory power of various (X1, X2, X3)
variables to predict an event, Y. I would like know if there is a test
statistic that allows me to compare the goodness of fit across several
logistic regressions. I know that such a test exists for continuous
dependent variables (there is a paper by Vuong 1989 in Econometrica titled
"Likelihood ratio tests for model selection and non-nested hypotheses").


At the moment all I have is the output from 3 logistic regressions as
follows: Y = f(X1) Y = f(X2) Y = f(X3)


I can then look at the chi-square values for the likelihood ratios across
the 3 regressions and rank order the variables. However, I would like to
make a stronger statement that the explanatory power of one variable is
statistically different from another.


Is anyone aware of such a test and if so how should it be programmed for in
SAS?


Thanks,

Scott.



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