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Thinking and Deciding

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366 QUANTITATIVE JUDGMENT<br />

Table 15.2: Data for regression example, with judgments (J)<br />

Student P M F J MUD Error<br />

1 90 90 90 91 89.8 -1.2<br />

2 80 90 91 84 84.9 0.9<br />

3 70 90 84 79 80.0 1.0<br />

4 70 70 71 70 70.0 0.0<br />

5 60 40 46 50 50.2 0.2<br />

6 50 80 71 66 65.2 -0.8<br />

One useful way to think about this kind of situation is the lens model, based on<br />

the work of Brunswik (1952), Hammond (1955), <strong>and</strong> others. This term results from<br />

the sort of diagram shown here, which is supposed to look something like light rays<br />

being focused by a lens. 2 Each line in the diagram represents a regression weight,<br />

a relationship between the two variables. (Some lines are omitted.) Each variable<br />

has a particular role. F is the criterion, the thing to be predicted. J is the judgment<br />

provided by the judge. PRE is the value of F predicted from the regression formula.<br />

The dots indicate that we might want other cues aside from M <strong>and</strong> P.<br />

M<br />

P<br />

F PRE MUD J<br />

.<br />

.<br />

.<br />

.<br />

.<br />

The new idea in the diagram is MUD (the Model of the jUDge). This is what we<br />

get if we try to predict J from the main variables, just as we originally tried to predict<br />

F from these variables. MUD is a model of the judge, just as PRE is a model of the<br />

criterion.<br />

2 The general approach is also called “social judgment theory.” See Hammond et al. (1986).

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