730 / 762
730
Chapter 16: One-Way Analysis of Variance
The calculations leading to the
F
test statistic value will not be presented in
this e-book because of the complexity of the formulas. We will use the
appropriate workbook to perform the computations.
Notes:
The formulas associated with the computations for the
F
test statistic
value are complex and it is time consuming to carry out the
calculations by hand.
Thus, computational technology is indispensable in most situations
involving ANOVA.
Extensive use of technology will be integrated into the computations
in these e-notes. We will assume that the appropriate technology is
available to compute the
F
test statistic value for any one-way
ANOVA.
The one-way ANOVA test statistic is given by
We would have to compare this
F
test statistic value with a critical
F
value
from a table with
– 1 and
–
degrees of freedom and a given level of
significance,
.
The general decision rule to reject the null hypothesis of
for a given significance level
is given by the
following.