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Russel-Research-Method-in-Anthropology

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692 Chapter 21<br />

Clusters of Cities<br />

The complete-l<strong>in</strong>k method tends to create more discrete clusters, while the<br />

s<strong>in</strong>gle-l<strong>in</strong>k method tends to clump th<strong>in</strong>gs together more. The method you<br />

choose determ<strong>in</strong>es the results you get. Look at figure 21.8a and b to see what<br />

Level<br />

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a. SINGLE LINK<br />

L<br />

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x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x<br />

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x x x x x x x x x x x x x x x x x<br />

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b. COMPLETE LINK<br />

C S<br />

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N D G L S<br />

Y C O E F<br />

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x x x x x x x x x x x x x x x x x<br />

Figure 21.8. Complete-l<strong>in</strong>k and s<strong>in</strong>gle-l<strong>in</strong>k cluster<strong>in</strong>g for the data <strong>in</strong> Table 21.26.<br />

happens when we use the s<strong>in</strong>gle-l<strong>in</strong>k and complete l<strong>in</strong>k cluster<strong>in</strong>g methods on<br />

the data <strong>in</strong> table 21.26.<br />

To me, the complete-l<strong>in</strong>k method seems better with these data. Denver<br />

‘‘belongs’’ with San Francisco and Los Angeles more than it belongs with<br />

Boston and New York. But that may be my own bias. Com<strong>in</strong>g from New York,<br />

I th<strong>in</strong>k of Denver as a western U.S. city, but I’ve heard people from San Francisco<br />

talk about ‘‘go<strong>in</strong>g back east to Denver for the weekend.’’<br />

Discrim<strong>in</strong>ant Function Analysis<br />

Discrim<strong>in</strong>ant function analysis (DFA) is used to classify cases <strong>in</strong>to categorical<br />

variables from ord<strong>in</strong>al and <strong>in</strong>terval variables. For example, we may<br />

want to classify which of two (or more) groups an <strong>in</strong>dividual belongs to: male<br />

or female; those who have been labor migrants vs. those who have not; those<br />

who are high, middle, or low <strong>in</strong>come; those <strong>in</strong> favor of someth<strong>in</strong>g and those<br />

who are not; and so on.<br />

DFA is a statistical method developed for handl<strong>in</strong>g this problem. It has been<br />

around for a long time (Fisher 1936) but, like most multivariate techniques,<br />

DFA has become more popular s<strong>in</strong>ce user-friendly computer programs have<br />

made it easier to do.

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