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Appendix B: Reference Information 632
2-SampFTest
2-SampFTest2-SampFTest
2-SampFTest
Below is the definition for the
2-SampÜTest.
2-SampÜTest for the alternative hypothesis .
2-SampÜTest for the alternative hypothesis .
Sx1, Sx2 =
Sample standard deviations having
and degrees of freedom
df,
respectively.
Ü =
Û-statistic =
df(x, , )
=
Ûpdf( ) with degrees of freedom df, ,
and
p
= reported p value
n
1
1–
n
2
1–
Sx1
Sx2
---------
⎝⎠
⎛⎞
2
n
1
1– n
2
1– n
1
1–
n
2
1–
σ
1
σ
2
>
pf
F
α
∫
xn
1
1 n
2
1–,–,()dx=
σ
1
σ
2
<
pf
0
F
∫
xn
1
1 n
2
1–,–,()dx=