Filter
Top Products
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 s
1
ƒ s
2
. 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
n
1
1– n
2
1– n
1
1–
n
2
1–
σ
1
σ
2
>
p
f
F
α
∫
xn
1
1 n
2
1–,–,()dx=
σ
1
σ
2
<
p
f
0
F
∫
xn
1
1 n
2
1–,–,()dx=
p
2
--- fxn
1
1 n
2
1–,–,()xd
0
L
bnd
∫
fxn
1
1 n
2
1–,–,()xd
U
bnd
∞
∫
==
t
x
1
x
2
–
S
----------------=