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Russel-Research-Method-in-Anthropology

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670 Chapter 21<br />

Path Analysis<br />

Path analysis is a particular application of multiple regression. In multiple<br />

regression, we know (1) which <strong>in</strong>dependent variables help to predict some<br />

dependent variable and (2) how much variance <strong>in</strong> the dependent variable is<br />

expla<strong>in</strong>ed by each <strong>in</strong>dependent variable. But multiple regression is an <strong>in</strong>ductive<br />

technique: It does not tell us which are the antecedent variables, which<br />

are the <strong>in</strong>terven<strong>in</strong>g variables, and so on.<br />

Path analysis is the application of multiple regression for test<strong>in</strong>g conceptual<br />

models of multivariate relations—that is, for test<strong>in</strong>g specific theories<br />

about how the <strong>in</strong>dependent variables <strong>in</strong> a multiple regression equation may be<br />

<strong>in</strong>fluenc<strong>in</strong>g each other—and how this ultimately leads to the dependent variable<br />

outcome.<br />

The method was developed by the geneticist Sewall Wright <strong>in</strong> 1921 and<br />

became very popular <strong>in</strong> the social sciences <strong>in</strong> the 1960s (see Duncan 1966). It<br />

fell out of favor for a while (isn’t it nice to know that even <strong>in</strong> statistics there<br />

are fads and fashions?), but it’s mak<strong>in</strong>g a comeback as full-featured statistics<br />

packages become more widely available.<br />

I rather like the method because it depends crucially on the researcher’s<br />

best guess about how a system of variables really works. It is, <strong>in</strong> other words, a<br />

nice comb<strong>in</strong>ation of quantitative and qualitative methods. Here’s an example.<br />

John Thomas (1981) studied leadership <strong>in</strong> Niwan Witz, a Mayan village.<br />

He was <strong>in</strong>terested <strong>in</strong> understand<strong>in</strong>g what causes some people to emerge as<br />

leaders, while others rema<strong>in</strong> followers. From exist<strong>in</strong>g theory, Thomas thought<br />

that there should be a relation among leadership, material wealth, and social<br />

resources. He measured these complex variables for all the household heads <strong>in</strong><br />

Niwan Witz (us<strong>in</strong>g well-established methods) and tested his hypothesis us<strong>in</strong>g<br />

Pearson’s r. Pearson correlations showed that, <strong>in</strong>deed, <strong>in</strong> Niwan Witz leadership<br />

is strongly and positively related to material wealth and control of social<br />

resources.<br />

S<strong>in</strong>ce the <strong>in</strong>itial hypothesis was supported, Thomas used multiple regression<br />

to look at the relation of leadership to both types of resources. He found<br />

that 56% of the variance <strong>in</strong> leadership was expla<strong>in</strong>ed by just three variables <strong>in</strong><br />

his survey: wealth (account<strong>in</strong>g for 46%), family size (account<strong>in</strong>g for 6%), and<br />

number of close friends (account<strong>in</strong>g for 4%). But, s<strong>in</strong>ce multiple regression<br />

does not, as Thomas said, ‘‘specify the causal structure among the <strong>in</strong>dependent<br />

variables’’ (ibid.:132), he turned to path analysis.<br />

From prior literature, Thomas conceptualized the relation among these three<br />

variables as shown <strong>in</strong> figure 21.2. He felt that leadership, L, was caused by all<br />

three of the <strong>in</strong>dependent variables he had tested, that family size (fs) <strong>in</strong>flu-

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