repeat
until all factors are named
click DEFINE
(brings up new window)
on left,
see all your column labels
on right,
see your declared data structure
send column
labels over into data structure
clicking OK runs
the analysis
Measure: MEASURE_1
FACTOR1 
Dependent Variable 
1 

COND1 

2 

COND2 

3 

COND3 
then the MANOVA results:
Multivariate Tests
Effect 

Value 
F 
Hypothesis df 
Error df 
Sig. 
FACTOR1 






Pillai's Trace 
.615 
2.401 
2.000 
3.000 . 
238 








Wilks' Lambda 
.385 
2.401 
2.000 
3.000 
. .238 








Hotelling's Trace 
1.601 
2.401 
2.000 
3.000 
.238 








Roy's Largest Root 
1.601 
2.401 
2.000 
3.000 
.238 
aExact
statistic
bDesign: InterceptWithin Subjects
Design: FACTOR1
Measure: MEASURE_1

Mauchly's W 
Approx. ChiSquare 
df 
Sig. 
Epsilon 


Within Subjects Effect 











GreenhouseGeisser 
HuynhFeldt 
Lowerbound 

FACTOR1 







.424 
2.578 
2 
.273 
.634 
.795 
.500 
Tests
the null hypothesis that the error covariance matrix of the orthonormalized
transformed dependent variables is proportional to an identity matrix.
aMay be used to adjust the degrees
of freedom for the averaged tests of significance. Corrected tests are displayed
in the Tests of WithinSubjects Effects table.
bDesign: InterceptWithin Subjects
Design: FACTOR1
then the crucial bit:
“tests of withinsubjects effects”: without (“sphericity assumed”) vs. with
correction (e.g “HuynhFeldt”) = significant vs.
not
Measure: MEASURE_1
Source 

Type III Sum of Squares 
df 
Mean Square 
F 
Sig. 
FACTOR1 






Sphericity
Assumed 
928.533 
2 
464.267 
4.725 
.044 








GreenhouseGeisser 
928.533 
1.269 
731.910 
4.725 
.077 








HuynhFeldt 
928.533 
1.590 
583.935 
4.725 
.060 








Lowerbound 
928.533 
1.000 
928.533 
4.725 
.095 

Error(FACTOR1) 






Sphericity
Assumed 
786.133 
8 
98.267 










GreenhouseGeisser 
786.133 
5.075 
154.916 










HuynhFeldt 
786.133 
6.361 
123.596 










Lowerbound 
786.133 
4.000 
196.533 



Sphericity
Repeated from
the earlier section on Repeated Measures: One reason students sometimes
avoid Repeated Measures analyses is that there is no automatic option for
posthoc tests. See Hays section 13.25
(p. 579583) about using Scheffe and Tukey HSD procedures or Bonferroni ttests
for posthoc testing of withinsubject factors  including the use of the
corrected df; see Winer p. 529 about using a factorial 1way ANOVA for
testing simple effects (a
comparison of levels of one factor to a single level of another factor).
last updated July 2011 by P. Keating
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