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Russel-Research-Method-in-Anthropology

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20<br />

◆<br />

Bivariate Analysis:<br />

Test<strong>in</strong>g Relations<br />

This chapter is about describ<strong>in</strong>g relations between pairs of variables—<br />

covariations—and test<strong>in</strong>g the significance of those relations.<br />

The qualitative concept of covariation creeps <strong>in</strong>to ord<strong>in</strong>ary conversation all<br />

the time: ‘‘If kids weren’t exposed to so much TV violence, there would be<br />

less crime.’’ Ethnographers also use the concept of covariation <strong>in</strong> statements<br />

like: ‘‘Most women said they really wanted fewer pregnancies, but claimed<br />

that this wasn’t possible so long as the men required them to produce at least<br />

two fully grown sons to work the land.’’ Here, the number of pregnancies is<br />

said to covary with the number of sons husbands say they need for agricultural<br />

labor.<br />

The concept of statistical covariation, however, is more precise. There are<br />

two primary and two secondary th<strong>in</strong>gs we want to know about a statistical<br />

relation between two variables:<br />

The primary questions are these:<br />

1. How big is it? That is, how much better could we predict the score of a dependent<br />

variable <strong>in</strong> our sample if we knew the score of some <strong>in</strong>dependent variable? Correlation<br />

coefficients answer this question.<br />

2. Is the covariation due to chance, or is it statistically significant? In other words,<br />

is it likely to exist <strong>in</strong> the overall population to which we want to generalize?<br />

Statistical tests answer this question.<br />

For many problems, we also want to know:<br />

3. What is its direction? Is it positive or negative?<br />

4. What is its shape? Is it l<strong>in</strong>ear or nonl<strong>in</strong>ear?<br />

594

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