Rich Ulrich <[EMAIL PROTECTED]> wrote in message news:<[EMAIL PROTECTED]>...
> On Wed, 26 Feb 2003 16:01:25 -0600, "DCD" <[EMAIL PROTECTED]> wrote:
> 
> > I have collected some data using older adults have found a significant
> > difference (p < .05) between the three groups in terms of their activity
> > level. Subsequent to this analysis I am contrasting the three groups on a
> > balance measure and deciding whether or not to use activity level as a
> > covariate in the ANOVA calculations.
> 
> There is a DIFFERENCE  measured between groups in Activity;
> and you want subsequently wonder whether to use activity
> level as a covariate.  
> 
> Well, if it has a logical role as a covariate, then you might
> *have*  to try it as a covariate, or else concede whatever 
> arguments someone makes  about it.  Those could be strong
> arguments if it is strongly correlated.
> 
> However, having mean-differences on a covariate is always
> problematic -- you really do, basically, *have*  to plot the
> means and scores to see who is being affected.  Are there
> ceiling/ basement effects?   Do regression lines cross?
> Is regression-to-the-mean sufficient to explain everything 
> that is otherwise interesting?
> 
> On the other hand, if you stick in the covariate and it
> makes no difference that is discernible on any test, 
> then you can say *that*  about it.
> 
> 
> > 
> > The question I have is whether or not to use activity level as a covariate
> > or not, based on the fact that the main effect for activity level violated
> > the assumptions of the homogeneity of regression slopes when compared with
> > one of the DV used in the study. 
> 
>  - There are mean difference, *plus*, somewhere else, you see 
> violations of homogeneity?   - well, the heterogeneity (if there
> is any on this variable) is potentially less important than the
> difference in means.  I should say, when I see the logic misused,
> I do wonder whether the underlying facts have been grasped.
> 
> You can't write an adequate argument, in a non-randomized
> study (which this apparently is)  if you leave out *any*  factor that
> other people will find interesting or important.
> So,  I think you *have*  to look at this potential covariate to 
> see what it is doing.  It might be that the most important thing
> to announce might be,  that it is badly distributed, or badly
> *confounding*  the other variables;  and you need help to 
> figure it out further.
> 
> >                                     I do have a small sample size and
> > consequently did not use the covariate analysis but wanted to see if I was
> > justified based on the violation listed above.
> > 
> > Any help would be appreciated.
> 
> You can try to *discount*  some analysis based on
> troubles with the scores.  But for an observational study,
> that is the practically equivalent to admitting defeat, if someone
> has other ideas about that variable.

Bruce - 

Sorry, but I mistakenly attributed something to you that I had meant
to attribute to the original requestor.  Sorry about that.

Jim
.
.
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