As Paul Swank has already pointed out, the Scheffe test can
be
applied to pairwise comparisons and combinations of
means.
Kirk's Experimental Design text covers this as does
Howell's
"Stat Methods for Psychology" (7th ed - see pages
394-395)
as well as other sources on experimental design and
multiple
comparisons. If you use "a priori" or planned
comparisons,
you can also make combinations of means (in Howell 7th
ed,
see p371-377 and note his presentation on orthogonal
versus
nonorthogonal contrasts).
In general, SPSS provides the option to use the Scheffe
test
in its ANOVA procedures (oneway, UNIANOVA, GLM)
but
because it has the lowest level of statistical power, it is
usually
used in situations where one has to make a large number
of
comparisons and Type I errors are much more costly
than
Type II errors.
-Mike Palij
New York University
----- Original Message -----
Sent: Friday, March 05, 2010 9:23
AM
Subject: Re: GLM Univariate
|
Marta wrote:
>>>Post hoc tests focus on pairwise differences between
means, while the overall F tests whether there is any difference
among any pair of combination of means. For instance, the F could be
significant because mean1+mean2 combined differ significantly from
mean3+mean4 combined. No post hoc test would reveal that.
Is the posthoc you are referring to is true also to post hoc
in one-way anova?
From:
Marta García-Granero <[hidden email]> Subject: Re:
GLM Univariate To: [hidden email] Date: Tuesday, 2
March, 2010, 5:21 PM
Eins Bernardo wrote: > Hi Marta, et
al. > > The problem was already solved. Thank you,
Marta, for the solution. > > I would like to raise the
issue based on what I have discovered a few > days back. >
What is the statistical explaination of the instances wherein >
the ANOVA is highly significant but none of the posthoc test
is > significant? >
Post hoc tests focus on pairwise
differences between means, while the overall F tests whether there
is any difference among any pair of combination of means. For
instance, the F could be significant because mean1+mean2 combined
differ significantly from mean3+mean4 combined. No post hoc test
would reveal that. HTH, Marta
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