The mean squares (MS) that make up Ü are:
FactorMS
ErrorMS
The sum of squares (SS) that make up the mean squares are:
FactorSS
ErrorSS
The degrees of freedom df that make up the mean squares are:
Factordf
=
Errordf
=
where: I
=
=
x
i
=
Sxi
=
ni
=
x
2-SampFTest
Below is the definition for the
Sx1, Sx2
Ü
n
1 – n
df(x,
,
1
p
180
FactorSS
------------------------
=
Factordf
ErrorSS
---------------------
=
Errordf
I
∑
(
)
=
n
x
x –
i
i
i
=
1
I
∑
(
)Sx
=
n
1 –
i
i
=
1
I 1
–
=
numeratordf for
I
∑
(
)
n
–
1
=
i
i
=
1
number of populations
the mean of each list
the standard deviation of each list
the length of each list
the mean of all lists
2
= Sample standard deviations having
and
respectively.
= Û-statistic =
= Ûpdf( ) with degrees of freedom df,
1 –
)
2
and
= reported p value
2
2
i
Ü
denominatordf for
Ü
-
.
Samp
Test
n
1 –
degrees of freedom df,
2
⎛
⎞
Sx1
-------- -
⎝
⎠
Sx2
n
1 –
2
Appendix B: Reference Information
Ü
2
n
1 –
1
n
1 –
,
1