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Chapter 16: One-Way Analysis of Variance
Example 16-2:
Figure 16-4
shows random samples obtained from three
different normal distributions. Discuss whether you think that the means of
these populations are significantly different based on the samples.
Solution:
Based on the display, we would expect the sample means to be
nearly equal. We would also expect the variation among the sample means
(between sample) to be small, relative to the variation found around the
individual sample means (within sample). Thus one may infer that there
may not be a significant difference between the population means.
Figure 16-4:
Samples from normal
populations with almost
equal means
Example 16-3:
Figure 16-5
shows random samples obtained from three
different normal distributions. Discuss whether you think that the means of
these populations are significantly different based on the samples.