2
2
2
1
1
2
2
1
n
s
n
s
s
x
x
+
=
−
ztest
μ
known
σ
known
Z =
M

M
σ
μ
ttest
μ
known
σ
unknown
Onesample
t =
M

M
S
S
M
=
n
s
s
=
1
−
n
SS
df = n1
Onesample:
Compares M to
μ
M
d
S
−
=
Independent Samples
2
1
2
1
x
x
s
t
x
x
−
−
=
ϖ
df = (n
1
1) + (n
2
1)
Independent
Samples:
Compares two
independent
sample means
12
2
p
pp
M
M
d
s
SS
−
=
=
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View Full DocumentDependent Samples
D
s
=
n
s
D
s
D
=
1
−
n
SS
D
n
D
D
SS
D
∑
∑
−
=
)
(
2
2
df = n1 (n = # of matched pairs
)
Dependent
Samples:
Compares two
dependent sample
means
same participants at
different times
different participants
matched by some
criterion
D
D
d
s
=
ANOVA
MSwithin
MSbetween
F
=
dfbetween
SSbetween
MSbetween
=
∑
−
=
N
G
n
T
SSbetween
2
T=total scores in each condition
n=number of scores in the condition
k=number
G=sum of all the scores
N=number of scores in total
df between = k1, where
of conditions
dfwithin
SSwithin
MSwithin
=
∑
=
SS
SSwithin
df within = Nk, where N = total #
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 Winter '08
 Ard
 Linear Regression, Normal Distribution, Regression Analysis, Chisquare distribution, Student's ttest

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