3/10/2010
1
Lecture 17
Onefactor within subjects ANOVA
1
ANOVA TABLE
Source
df
SS
MS
F
Factor A
a1
SS
A
SS
A
/(a1)
MS
A
/MS
error
Factor B
b1
SS
B
SS
B
/(b1)
MS
B
/MS
error
Factor A×B
(a1)(b1)
SS
A×B
SS
A×B
/((a1)(b1))
MS
A×B
/MS
error
Error
Nab
SS
error
SS
error
/(Nab)
Total
N1
SS
Total
2
Interpretation
3
4
5
Onefactor withinsubjects
analysis of variance
In a onefactor withinsubjects design
,
a single
group of subjects is exposed to and measured in
each level of the independent variable
Also called a repeated measures design
Used to analyze onefactor multilevel within
subjects designs
It may also be used in place of
t
rel
if only two
levels of an independent variable are
manipulated
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2
Onefactor withinsubjects
analysis of variance (continued)
Partitions the total variation of scores in an
experiment into three sources
The variation due to the effect of factor
A
:
treatment effect
The variation due to the effect of factor
S
:
individual differences among subjects
The variation due to the interaction of the
treatments with the subjects: symbolized as
A
S
Example
Suppose we are interested in the development of a flavor
preference in rats. We do 12 days of conditioning in
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 Winter '10
 FIRSTENBERG,I.
 Degrees Of Freedom, Null hypothesis, total variation, grand mean

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