On 29.04.2010 15:01, Eric Elguero wrote:
Hi,

a colleague ran a stepwise discriminant analysis
twice in a row and got different results, suggesting
some "sochasticity" in the algorithms involved.
I looked at her data and found that there was a lot
of collinearity, so that I reckoned that maybe "stepclass"
(klaR) cannot find a clear winner when trying to include a
new variable and makes a random choice. Is that true?

Yes, since a cross validation is involved.
If you want stable results, you could try leave one out or set a seed.
Anyway, if you variables are collinear I wonder if the stepwise approach is the smartest solution here.....



another possibility is that "lda" (from MASS) computes
CV classification rates from a random subsample instead of
using all the data (?) That might be a sensible choice
with a very large sample.
I advised her to run the function several times and
see if a consensus emerges, but that doesn't seem to
be the case, and besides, I would like to know what
really is going on.

Well, it is called cross validation which is based on random sampling if you do not have k=n -fold CV (=leave-one-out).
Again, to get reproducible results, you will need to set a seed.


If the results are that unstable: Do you really have a sufficient number of observations for your classification problem?

Uwe Ligges





thanks

Eric Elguero
Laboratory Genetics and Evolution of Infectious Diseases,
Team: Genetics and Adaptation of Plasmodium
UMR 2724 CNRS-IRD,
IRD Montpellier,
911 Avenue Agropolis, BP 64501,
34394 Montpellier Cedex 5,
France


f4.U.spDA<- stepclass(f.mes, f.gp4,
"lda",improvement=0.01,prior=rep(0.25,4))
  `stepwise classification', using 10-fold cross-validated correctness
rate of method lda'.
89 observations of 31 variables in 4 classes; direction: both
stop criterion: improvement less than 1%.
correctness rate: 0.58333;  in: "X2";  variables (1): X2
correctness rate: 0.66389;  in: "X9";  variables (2): X2, X9
correctness rate: 0.69583;  in: "X27";  variables (3): X2, X9, X27

  hr.elapsed min.elapsed sec.elapsed
        0.00        0.00       20.77

f4.U.spDA<- stepclass(f.mes, f.gp4,
"lda",improvement=0.01,prior=rep(0.25,4))
  `stepwise classification', using 10-fold cross-validated correctness
rate of method lda'.
89 observations of 31 variables in 4 classes; direction: both
stop criterion: improvement less than 1%.
correctness rate: 0.60556;  in: "X2";  variables (1): X2
correctness rate: 0.71806;  in: "X6";  variables (2): X2, X6

  hr.elapsed min.elapsed sec.elapsed
        0.00        0.00       15.14

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