Appendix A: Tables and Reference Information 157
2-SampÜTest for the alternative hypothesis .
2-SampÜTest for the alternative hypothesis .
2-SampÜTest for the alternative hypothesis s1 ƒ s2. Limits must satisfy
the following:
where: [Lbnd,Ubnd]=lower and upper limits
The Ü-statistic is used as the bound producing the smallest integral. The
remaining bound is selected to achieve the preceding integral’s equality
relationship.
2-SampTTest
The following is the definition for the 2-SampTTest. The two-sample t
statistic with degrees of freedom df is:
Ü=Û-statistic =
df(x, , )=Ûpdf( ) with degrees of freedom df, ,
and
p=reported p value
Sx1
Sx2
---------


2
n11–n21–n11–
n21–
σ1σ2
>
p
f
F
α
∫xn
11n21–,–,()dx=
σ1σ2
<
p
f
0
F
∫xn
11n21–,–,()dx=
p
2
---fxn
11n21–,–,()xd
0
Lbnd
∫fxn
11n21–,–,()xd
Ubnd
∞
∫
==
tx1x2
–
S
----------------=