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Chapter 16: One-Way Analysis of Variance
So far in all the previous examples, we had a single factor with different
levels of the treatments. In this section, we will present the
F
test for these
single factor experiments. We sometimes refer to this single factor
F
test as
One-Way ANOVA
F
test.
Summary of the One-way ANOVA Hypothesis
F
Test
Using the Classical Approach
The following presents the classical approach to hypothesis testing for
the
population means.
If the classical approach to hypothesis testing is used, then use the following
steps to test for equality of the
population means
The following example will illustrate the
F
test.
Example 16-11:
Suppose you own a company which manufactures bricks
for the housing industry. You feel that heat loss from the bricks (and hence
from the buildings using the bricks on the exterior) can be reduced by
treating the bricks with a non-toxic chemical mix. For the same type of
bricks, four different concentrations were baked on the surfaces of the bricks
and the percentage of heat loss from samples of these bricks, were recorded.
Note, each brick in the sample was exposed to the same temperature in order
to measure the surface heat loss. The summary information is shown below.