Thank you so much Robert. I haven't thought about the idea of clumping 
categories together. One of the reason is because these categories are bridge 
condition rating scores. They indeed represent different meaning and 
serviceability conditions. They vary from 0-9. I have about 300,000 data in 
which the first 5 labels, i.e. 0-4, are bad condition bridge and there are only 
less than 1000 instances in total. The worst case, is for example, score 0 
(meaning the bridge is not operatable), I have 60 instances. Score 1 I have 
about 100. I would appreciate if you could provide some opinion as to how you 
would make the order probit fits better in this case? Thank you so much in 
advance.- adschai----- Original Message -----From: Robert A LaBudde Date: 
Friday, June 15, 2007 9:52 pmSubject: Re: [R] [Not R question]: Better fit for 
order probit modelTo: [email protected]> At 09:31 PM 6/15/2007, adschai 
wrote:> >I have a model which tries to fit a set of data with 10-level > >order!
 ed responses. Somehow, in my data, the majority of the > >observations are 
from level 6-10 and leave only about 1-5% of > total > >observations 
contributed to level 1-10. As a result, my model > tends > >to perform badly on 
points that have lower level than 6.> >> >I would like to ask if there's any 
way to circumvent this > problem or > >not. I was thinking of the followings 
ideas. But I am opened to > any > >suggestions if you could please.> >> >1. 
Bootstrapping with small size of samples each time. > Howevever, in > >each 
sample basket, I intentionally sample in such a way that > there > >is a good 
mix between observations from each level. Then I have > to > >do this many 
times. But I don't know how to obtain the true > standard > >error of estimated 
parameters after all bootstrapping has been > done. > >Is it going to be simply 
the average of all standard errors > >estimated each time?> >> >2. Weighting 
points with level 1-6 more. But it's unclear to me > how > >to put t!
 his weight back to maximum likelihood when estimating > >parameters. I
t's unlike OLS where your objective is to minimize > >error or, if you'd like, 
a penalty function. But MLE is > obviously > >not a penalty function.> >> >3. 
Do step-wise regression. I will segment the data into two > >regions, first 
points with response less than 6 and the rest > with > >those above 6. The 
first step is a binary regression to > determine if > >the point belongs to 
which of the two groups. Then in the > second > >step, estimate ordered probit 
model for each group separately. > The > >question here is then, why I am 
choosing 6 as a cutting point > >instead of others?> >> >Any suggestions would 
be really appreciated. Thank you.> > You could do the obvious, and lump 
categories such as 1-6 or 1-7 > together to make a composite category.> > You 
don't mention the size of your dataset. If there are 10,000 > data, > you might 
live with a 1% category. If you only have 100 data, > you > have too many 
categories.> > Also, next time plan your study and training better so!
  that next > time > your categories are fully utilized. And don't use so many 
> categories. > People have trouble even selecting responses on a 5-level 
scale.> ================================================================> 
Robert A. LaBudde, PhD, PAS, Dpl. ACAFS  e-mail: [EMAIL PROTECTED]> Least Cost 
Formulations, Ltd.            URL: http://lcfltd.com/> 824 Timberlake Drive     
                Tel: 757-467-0954> Virginia Beach, VA 23464-3239            
Fax: 757-467-2947> > "Vere scire est per causas scire"> > 
______________________________________________> [email protected] 
mailing list> https://stat.ethz.ch/mailman/listinfo/r-help> PLEASE do read the 
posting guide http://www.R-> project.org/posting-guide.html> and provide 
commented, minimal, self-contained, reproducible code.>

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