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284 Methods for eliciting probabilities<br />

Number of requests Length of line Probability<br />

0 2 2/36 = 0.06<br />

1 6 6/36 = 0.17<br />

2 10 10/36 = 0.28<br />

3 8 8/36 = 0.22<br />

4 5 5/36 = 0.14<br />

5 2 2/36 = 0.06<br />

6 2 2/36 = 0.06<br />

7 1 1/36 = 0.03<br />

36 1.00<br />

The method of relative heights can also be used to assess probability<br />

density functions for continuous distributions. In this case the analyst<br />

will normally elicit the relative likelihood of a few values and then fit a<br />

smooth pdf curve across the tops of the lines.<br />

A comparison of the assessment methods<br />

Which method of probability assessment is the best? A number of<br />

experiments have been carried out to compare the methods, but these<br />

have not identified one single best method (see, for example, Seaver<br />

et al. 5 or Wallsten and Budescu 6 ). Indeed, the main implication of these<br />

studies is that a variety of different methods should be used during<br />

the elicitation process. Nevertheless, certain types of approach will<br />

obviously be more acceptable than others to particular individuals. For<br />

example, some people may be happy to give direct assessments while<br />

others will prefer the indirect approach.<br />

Bunn and Thomas 7 argued that the use of devices such as probability<br />

wheels might be most appropriate for ‘people who are generally<br />

intolerant of ambiguity, those who prefer not to contemplate, or even<br />

deny, the uncertainties of their judgment, or who do not accept that<br />

psychological feelings can be quantified’. Indeed, Spetzler and Stäel<br />

von Holstein 1 found that many people have difficulty in making direct<br />

judgments, and even those who feel capable of assessing probabilities<br />

in this way were often subsequently found to lack confidence in their<br />

responses. Most subjects, they claim, prefer the probability wheel. For<br />

this reason, they recommend that interviews should generally start<br />

with assessments based on this device, while other methods should be<br />

used at a later stage as consistency checks (by consistency checks we

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