User Manual

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– numeratordf 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
∑
denominatordf for == Ü
I
x
i
Sxi
ni
x
2-SampFTest
Below is the definition for the
2-SampÜTest.
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
Sx1, Sx2 =
Sample standard deviations having
and degrees of freedom
df,
respectively.
Ü =
Û-statistic =
n
1
1–
n
2
1–
Sx1
Sx2
---------
⎝⎠
⎛⎞
2