Dear Rick,

Because of the protection for Type I error, the largest and smallest mean may 
indeed not differ with the post hoc test.

But I would argue that they MUST differ on purely logical grounds.

Stuart

______________________________________________
Stuart J. McKelvie, Ph.D., 
Department of Psychology,
Bishop's University,
2600 College Street,
 Sherbrooke,
Québec J1M 0C8,
Canada.
 
E-mail: [EMAIL PROTECTED]
              or [EMAIL PROTECTED]
Phone: (819)822-9600, Extension 2402
Fax: (819)822-9661
 
Bishop's Psychology Department Web Page:
http/:www.ubishops.ca/ccc/dev/soc/psy
__________________________________
 

> -----Original Message-----
> From: Rick Froman [mailto:[EMAIL PROTECTED] 
> Sent: Tuesday, April 03, 2007 5:39 PM
> To: Teaching in the Psychological Sciences (TIPS)
> Subject: [tips] RE: ANOVA interpretation
> 
> That's the funny thing. I would assume that, too. But 
> although the overall F-test was significant, there was no 
> statistically significant difference using the HSD test, 
> between the largest and smallest mean. I have to imagine this 
> is somewhat rare but it just doesn't seem as if it should be 
> a mathematical possibility. I think it could be due to the 
> type of error-rate that a test is designed to control.
> 
> Rick
> 
> Dr. Rick Froman, Chair
> Division of Humanities and Social Sciences Box 3055
> x7295
> [EMAIL PROTECTED]
> http://www.jbu.edu/academics/hss/faculty/rfroman.asp 
> 
> Proverbs 14:15 "A simple man believes anything, but a prudent 
> man gives thought to his steps." 
> 
> 
> -----Original Message-----
> From: Stuart McKelvie [mailto:[EMAIL PROTECTED]
> Sent: Tuesday, April 03, 2007 4:23 PM
> To: Teaching in the Psychological Sciences (TIPS)
> Subject: [tips] RE: ANOVA interpretation
> 
> Dear Rick and others,
> 
> I would say this for sure: the biggest and smallest means 
> must logically be different!
> 
> I do not understand the claims about the Scheffé test - it is 
> extremely conservative.
> 
> Stuart
> 
> ______________________________________________
> Stuart J. McKelvie, Ph.D.,
> Department of Psychology,
> Bishop's University,
> 2600 College Street,
>  Sherbrooke,
> Québec J1M 0C8,
> Canada.
>  
> E-mail: [EMAIL PROTECTED]
>               or [EMAIL PROTECTED]
> Phone: (819)822-9600, Extension 2402
> Fax: (819)822-9661
>  
> Bishop's Psychology Department Web Page:
> http/:www.ubishops.ca/ccc/dev/soc/psy
> __________________________________
>  
> 
> > -----Original Message-----
> > From: Rick Froman [mailto:[EMAIL PROTECTED]
> > Sent: Tuesday, April 03, 2007 2:50 PM
> > To: Teaching in the Psychological Sciences (TIPS)
> > Subject: [tips] ANOVA interpretation
> > 
> > How would you interpret an ANOVA result where the F-test was 
> > significant but none of the multiple comparisons were 
> significant in 
> > an HSD comparison?
> > 
> > Rick
> > 
> > 
> > Dr. Rick Froman, Chair
> > Division of Humanities and Social Sciences Professor of Psychology 
> > John Brown University 2000 W. University Siloam Springs, AR  72761 
> > [EMAIL PROTECTED]
> > (479) 524-7295
> > http://www.jbu.edu/academics/hss/faculty/rfroman.asp
> > 
> > 
> > 
> > "Pete, it's a fool that looks for logic in the chambers of 
> the human 
> > heart."
> > - Ulysses Everett McGill
> > 
> > 
> > 
> > 
> > ---
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