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PROGRAM TEST OF
MEAN
VALUE DIFFERENCE
PROGRAM NO.
2
TITLE
AND VARIANCE RAT
IO
PS
- B- 7
loo:•
I
CD
.
Used
to
examine variance ratios. (inprocesscd
da
tal.
.
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 devi
at
i
on
of
population 2
Test
va
lue (F)
Freedome degree 1
Freedome degree 2
I
Ex
:
ample]
Test
of
mean value difference
I
1
II
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
te
sting can
be
conducted.
n,= 6
-x
,=2.2
<11
= 1. 78
88854382
E - 1
O'
:
Standard
de
viulion
Test
of
variance ratio
1.375
1.407 1.068
I.
752
I.
20
1
I
1.042
I.
223
l .'
633
I.
773 0.779
J.033
I.
217
I.
615
0.
673
1.
252
n,
=
IO,
<1
1= 3. 26
1141757
E - 1
2
0.984
1.6
93
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 d
iff
erence
When 2
normal
populations are equal
in variance, and their values remain
unknown,
testing
is
done
on
the hypoth
es
is that theiir mean values are equal.
t =
%1-
Xi j
n1
t12
(
n1
+ n2- 2)
./S
xx
1+
Sxx
2
11
1+
1i
2
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
eq
ual 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
,
in
dices I and 2 are interchange
d.
Do
not
sale this PDF
!!!
-
58
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