Texas Instruments TINSPIRE

586 Using Lists & Spreadsheet
•H
a
: s
1
ƒs
2
•H
a
: s
1
<s
2
•H
a
: s
1
>s
2
Below is the definition for the 2-Sample FTest.
2-Sample FTest for the alternative hypothesis .
2-Sample FTest for the alternative hypothesis .
2-Sample FTest for the alternative hypothesis s
1
ƒs
2
. Limits must satisfy
the following:
where: [
Lbnd,Ubnd]=lower and upper limits
The F-statistic is used as the bound producing the smallest integral. The
remaining bound is selected to achieve the preceding integral’s equality
relationship.
Sx1, Sx2
=
Sample standard deviations having
and degrees of freedom df,
respectively.
F =
F-statistic =
df(x, , )
=
Fpdf( ) 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=
p
2
--- fxn
1
1 n
2
1–,–,()xd
0
L
bnd
∫
fxn
1
1 n
2
1–,–,()xd
U
bnd
∞
∫
==