Interpreting "validate.lrm"

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Matías Guzmán

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Mar 14, 2013, 7:23:37 PM3/14/13
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Hello everyone, 


I have a very basic question. I have a logistic regression with lrm but I'm having trouble interpreting the bootstrap validation. I'm not sure if it's overfitted or not, and I also don't really understand what each statistic mean (I have to report them in a paper). What I get from the anova analysis is:

            Wald Statistics          Response: Type 

Factor Chi-Square d.f. P

Context (Factor+Higher Order Factors) 17.30 2 0.0002

All Interactions 6.43 1 0.0112

Pronominal (Factor+Higher Order Factors) 14.88 2 0.0006

All Interactions 6.43 1 0.0112

VerbTyp 11.94 3 0.0076

Context * Pronominal (Factor+Higher Order Factors) 6.43 1 0.0112

TOTAL 23.90 6 0.0005

And from the bootstrap validation, B=200:

      index.orig training   test optimism index.corrected   n

Dxy 0.6259 0.6543 0.5913 0.0630 0.5630 200

R2 0.3842 0.4324 0.3462 0.0862 0.2980 200

Intercept 0.0000 0.0000 0.0132 -0.0132 0.0132 200

Slope 1.0000 1.0000 0.8049 0.1951 0.8049 200

Emax 0.0000 0.0000 0.0506 0.0506 0.0506 200

D 0.3310 0.3873 0.2921 0.0953 0.2357 200

U -0.0177 -0.0177 0.0271 -0.0448 0.0271 200

Q 0.3487 0.4050 0.2649 0.1401 0.2086 200

B 0.1747 0.1633 0.1858 -0.0225 0.1972 200

g 1.6948 2.0311 1.5322 0.4989 1.1959 200

gp 0.3146 0.3273 0.2942 0.0331 0.2814 200

From what I can understand the model is slightly overfitted, but I don't really understand what each statistic mean or how to interpret the values for optimism.

Thanks

Stefan Th. Gries

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Mar 15, 2013, 4:55:17 AM3/15/13
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See Baayen (2008:194):

index.orig= values from the non-bootstrapped regression
training= average values from bootstrapped samples
test= average values when bootstrapped models are applied to full data
optimism= training-test
index.corrected=index.orig-optimism
n: number of bootstrap samples

STG
--
Stefan Th. Gries
-----------------------------------------------
University of California, Santa Barbara
http://www.linguistics.ucsb.edu/faculty/stgries
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