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RE: st: gologit2


From   Richard Williams <Richard.A.Williams.5@ND.edu>
To   statalist@hsphsun2.harvard.edu
Subject   RE: st: gologit2
Date   Mon, 14 Apr 2008 16:20:59 -0500

At 11:54 AM 4/14/2008, Verkuilen, Jay wrote:
Maarten buis wrote:


>>If you are unsure, than go through the logic of testing: formulate the
null-hypothesis. <snip> <<

The one addendum I would add is this: If the formal test says reject the
null but the resulting violation is "small", you may want to think twice
about tossing out the proportional odds assumption. Such violations are
often found by capitalizing on chance and wouldn't replicate (instead
you'll find some other violation elsewhere). It may be worth it to
assess these kinds of assumptions on a calibration sample and have a
randomly selected holdout sample for later validation of your model.
My experience is that it is rare to have a model where the proportional odds assumption isn't violated! Often, though, the violation only involves a small subset of the variables, in which case gologit2 can be useful. You might also want to consider more stringent alpha levels (e.g. .01, .001) to reduce the possibility of capitalizing on chance. You can also try to assess the practical significance of violations, e.g. do my conclusions and/or predicted probabilities really change that much if I stick with the model whose assumptions are violated as opposed to a (possibly much harder to understand and interpret) model whose assumptions are not violated.

Finally, while I happen to like gologit2, there are a lot of other categorical and ordinal models out there that might be worth a look depending on the problem.


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Richard Williams, Notre Dame Dept of Sociology
OFFICE: (574)631-6668, (574)631-6463
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EMAIL: Richard.A.Williams.5@ND.Edu
WWW: http://www.nd.edu/~rwilliam

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