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FIGURE 6.11
Output for S-N-K test; SPSS.
the means of the other four columns. The means of age-groups 5 and 4 are judged as the
same but higher than that of group 1, but lower than that of groups 2 and 3. Finally, the
means of age-groups 2 and 3 are judged to be the same, but higher than the other three
age-groups. If the only important issue is inding out if one of the age-group means is
higher than all the others, then the last result mentioned above is the relevant result—the
true mean of age-groups 2 and 3 cannot be said to be different, but the true mean of those
two age-groups can be said to be higher than the true mean of the other three age-groups.
SIDEBAR: SUBSETS: AS FEW AS ONE AND AS MANY AS THE NUMBERS
OF MEANS YOU HAVE
The table of Homogeneous Subsets can have more than three subsets (which is what is illustrated in
Figure 6.11
). Indeed, for ive age-groups, there can be ive different subsets—this would simply mean
that all ive means are judged to be different from one another. There might be two subsets, three
subsets, or four subsets. Actually, there could be only one subset, but that would mean that the F-test
indicated that all the means are the same, and thus, we would not, at least in theory, be examining what
the differences are—when the F-test says that there aren't any differences in the irst place!!
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