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Chapter 16: One-Way Analysis of Variance
Recall, whenwe compare the
F
test statistic value to a critical
F
-value in this
situation, we refer to this approachas the classical approachtohypothesis
testing for a one-wayANOVA. Alternatively, we canalso use the
P
-value
approach.
Note:
Ifwe use the
P
-value approachto hypothesis testing for the one-way
ANOVA, wewill reject
H
0
if the
P
-value <α,where a is the given level of
significance.
Example16-9:
For the data given in
Example16-1
, if the
F
testwas
conductedat the 1percent significance level todetermine whether therewas
a significant difference between the average number of credit hours for
undergraduates in the four classifications of freshmen, sophomores, juniors
and seniors,what will be the
F
critical value for the test?
Solution:
Fromthe information given, then
=4,
=36, and
=0.01.
Now, since the numerator degrees of freedom=
- 1, then this value will be
4–1=3. Also, the denominator degrees of freedom=
-
, then this value
will be36–4= 32. We canuse the
Critical
F
-Values
workbooktoobtain
this value. From theworkbook
F
3, 32, 0.01
=4.4594. The
Critical
F
-Values
workbookoutput is shown in
Figure16-14
.
Figure 16-14:
WorkbookOutputwithCritical
F
-Value
for
Example16-9
Example16-10:
For thedata given in
Example16-7
, if the
F
testwas
conducted for the one-wayANOVA at the 5percent significance level to
Clickhere for theCritical F -ValuesWorkbook