Sharp PC-1500 Applications Manual page 64
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PROGRAM
TEST OF
MEAN
VALU
E
DIFFERENCE
PROGRAM
NO.
2
TITLE
AND
VARIANCE
RATIO
PS-
B-
7
loo:•I
CD
.
Used
to
examine
variance ratios. (inprocesscd
datal.
.
Input:
{
Data
of population
I
Data of population
2
Output: Mean value of population
I
Standard deviation of population
1
Mean value of population
2
Standard deviation of population 2
Test
value
(F)
Freedome degree
1
Freedome
degree
2
I
Ex:ample]
Test
of mean value difference
I
1
I
I
2.3
1
1.6
I
2.1
I
2.2
1
2.
31
2.
0
I
1.91
2.2
I
n,=8
x,=
2.015
2
2.3:
2.
5:
2.0
:
2.1:
0",=
2.375469878E
-
I
2.2
2.
1
Using this data, T testing can
be
conducted.
n,=
6
-x,
=2.2
<11=
1.
7888854382 E
-
1
O'
:
Standard deviulion
Test
of variance
ratio
1.375
1.407
1.068
I.
752
I.
201
I
1.042
I.
223
l
.'633
I.
773
0.779
J.033
I.
217
I. 615
0.
673
1. 252
n,
=
IO,
<11=
3.
261141757
E
-
1
2
0.984
1.693
0.
840
n
2
= 8.
<12=3.
564527359
E:
-
I
F
testing is performed on
the
basis of this
data.
[
Contents
] (
Formulas)
Test
of mean value difference
When
2
normal
populations are equal in
variance,
and
their
values remain
unknown, testing is done on the
hypothesis
that
theiir
mean values
are
equal.
t
=
%1-
Xi
j
n1
t12
(
n1
+
n2-
2
)
./S
xx
1+ Sxx2
11
1
+
1i2
This is
based
on the t
distribution
of;
=
n
1
+
11,-
2
Test
of
variance
ratio
Testing
is
conducted
to
find whether
2 populations
are
equal in
variance.
F
=
V
1
/V
2
is
based on the F distribution
of
</ >
,
=
n,
-
1
,
and <f >
,=
n,
-
1
If V
1
<
V
2
,
indices
I
and 2
are
interchanged.
Do not sale this PDF
!!!
- 58 -
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