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Russel-Research-Method-in-Anthropology

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Multivariate Analysis 687<br />

1.71<br />

1.32<br />

GRAPEFRUIT<br />

LEMON<br />

ORANGE<br />

0.94<br />

0.55<br />

0.17<br />

-0.22<br />

CANTELOPE<br />

STRAWBERRY<br />

WATERMELON<br />

BLUEBERRY<br />

PLUM<br />

APPLE FIG<br />

PEACH<br />

CHERRY<br />

PEAR<br />

-0.60<br />

-0.98<br />

MANGO<br />

PAPAYA<br />

PINEAPPLE<br />

BANANA<br />

-1.37<br />

AVOCADO<br />

-1.75<br />

-2.14<br />

-2.14 -1.37 -0.60 0.17 0.94 1.71<br />

Figure 21.5. Two-dimensional MDS for 18 fruits sorted by one <strong>in</strong>formant.<br />

mant sees the similarities among these 18 fruits. It is, <strong>in</strong> other words, a mental<br />

map. Make no mistake here. The MDS graph is simply a representation of<br />

what the <strong>in</strong>formant was th<strong>in</strong>k<strong>in</strong>g when he pile sorted those fruits. No one<br />

claims that MDS graphs are one-for-one maps of what’s happen<strong>in</strong>g <strong>in</strong>side<br />

people’s heads.<br />

Now, suppose we collect a whole set of pile sort data from, say, 20 <strong>in</strong>formants.<br />

That would produce 20 <strong>in</strong>dividual similarity matrices. If we stacked<br />

those matrices on top of one another we could look down through each cell,<br />

count up the number of 1s, and divide by 20. That would tell us the percentage<br />

of times that the 20 <strong>in</strong>formants put a pair of items (fruits, for example)<br />

together <strong>in</strong> a pile. This would create an aggregate proximity matrix—a summary<br />

of percentages, rather than just hits, that tell us how similar, on average

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