Appendix B: Reference Information
385
ANOVA(
The
ANOVA
Ü
statistic is:
Ü
=
FactorMS
ErrorMS
--------------------------
FactorMS
FactorSS
Factordf
------------------------
=
ErrorMS
ErrorSS
Errordf
---------------------
=
FactorSS
n
i
x
i
x
–
(
)
2
i
1
=
I
∑
=
ErrorSS
n
i
1
–
(
)
Sx
i
2
i
1
=
I
∑
=
Factordf
I
1
–
numerator
df
for
=
=
The mean squares (
MS
) that make up
Ü
are:
The sum of squares (
SS
) that make up the mean squares are:
The degrees of freedom
df
that make up the mean squares are:
Ü
Errordf
n
i
1
–
(
)
i
1
=
I
∑
denominator
df
for
=
=
Ü
I
x
i
Sxi
ni
x
2-SampFTest
Below is the definition for the
2
-
Samp
Ü
Test
.
where:
=
=
=
=
=
number of populations
the mean of each list
the standard deviation of each list
the length of each list
the mean of all lists
Sx
1
,
Sx
2
= Sample standard deviations having
and
degrees of freedom
df
,
respectively.
Ü
=
Û
-statistic =
n
1
1
–
n
2
1
–
Sx
1
Sx
2
---------
⎝
⎠
⎛
⎞
2
