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Appendix B: Reference Information 633
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
2-SampTTest2-SampTTest
2-SampTTest
The following is the definition for the
2-SampTTest. The two-sample t statistic with
degrees of freedom
df is:
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
----------------=