Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
Statistical Design of Experiments
The F
The
F
Table
Table
v
v
1
11
v
v
2
2
1
11
5
5
4
4
3
33
2
2
6
66
1
1
5
5
4
4
3
3
2
2
6
6
f
f
0.05
0.05
(v
(v
1
1
,v
,v
2
22
)
)
161.4
230.2
224.6
215.7
199.5
234.0
18.51
19.30F Statistic
19.25
19.16
19.00
19.33
10.13
9.01
9.12
9.28
9.55
8.94
7.71
6.26
6.39
6.59
6.94
6.16
6.61
5.05
5.19
5.41
5.79
4.95
5.99
4.39
4.53
4.76
5.14
4.28
The value
The value
indexed from
indexed from
the table is
the table is
called the
called the
Critical F value, 2
Critical F value, 2
and is used to
and is used to
compare with
compare with
the Calculated
the Calculated
F Statistic
F Statistic
This is the
This is the
alpha value,
alpha value,
so this Table
so this Table
is for a
is for a
confidence of
confidence of
95%
95%
v
v
1
1
is the
is the
degrees of
degrees of
freedom
freedom
for the
for the
value used
value used
in the
in the
numerator
numerator
of the
of the
calculated
calculated
F Statistic
v
v
2
2
is the
is the
degrees of
degrees of
freedom for
freedom for
the value
the value
used in the
used in the
denominator
denominator
of the
of the
calculated F
calculated F
Statistic
Statistic
To find the
To find the
Critical F
Critical F
Value, Index
Value, Index
the values of
the values of
v
v
1
1
& v
& v
v
2
v
v
1
v
v
2
2
1
5
5
4
4
3
2
2
6
1
1
5
5
4
4
3
3
2
2
6
6
f
f
0.05
0.05
(v
(v
1
1
,v
,v
2
)
)
161.4
230.2
224.6
215.7
199.5
234.0
18.51
19.30
19.25
19.16
19.00
19.33
10.13
9.01
9.12
9.28
9.55
8.94
7.71
6.26
6.39
6.59
6.94
6.16
6.61
5.05
5.19
5.41
5.79
4.95
5.99
4.39
4.53
4.76
5.14
4.28
For example,
For example,
if v
if v
v
1
1
=
= 3, and
3, and
v
v
2
2
= 4,
= 4,
then the Critcal
then the Critcal
Critcal
F
F
value would be 6.59
value would be 6.59
The values
The values
found in an F
found in an F
Table are
Table are
calculated from
calculated from
the F
the F
distribution for
distribution for
a given
a given
confidence
confidence
level.
level.
 |
 |
 |