ANOVA(
Ü statistic is:
The
ANOVA
FactorMS
Ü =
--------------------------
ErrorMS
The mean squares (
MS
FactorSS
FactorMS
=
------------------------
Factordf
ErrorSS
ErrorMS
=
-------------------- -
Errordf
The sum of squares (
SS
I
∑
FactorSS
=
n
i
=
1
I
∑
(
ErrorSS
=
n
i
=
1
The degrees of freedom
Factordf
=
I 1
–
=
I
∑
(
Errordf
=
n
i
=
1
where:
I
=
number of populations
=
the mean of each list
x
i
=
the standard deviation of each list
Sxi
=
the length of each list
ni
=
the mean of all lists
x
2-SampFTest
Below is the definition for the
1,
2
Sx
Sx
Ü
) that make up Ü are:
) that make up the mean squares are:
2
(
)
x
x –
i
i
)Sx
1 –
2
i
i
that make up the mean squares are:
df
Ü
numeratordf for
)
–
1
=
denominatordf for
i
Ü
-
.
2
Samp
Test
= Sample standard deviations having
and
degrees of freedom
n
1 –
2
respectively.
Sx1
⎛
⎞
= Û-statistic =
-------- -
⎝
⎠
Sx2
Ü
n
1 –
1
,
df
2
Appendix B: Reference Information
385