7 DECISION RISK
Uncertainty in the decision rule, and in the criteria that are considered, implies some risk that the decision made will be wrong. In the case of measurement error, the effects of uncertainty can fairly easily be propagated to the suitability map that is produced in MCE (see Heuvelink, Chapter 14; Heuvelink 1993). Furthermore, Eastman (1993) has developed a simple operator that can convert such an evaluation into a mapping of the probability that locations belong to the decision set (the PCLASS operator of the Idrisi software system).
The operator assumes a normal distribution of errors and calculates the area under the normal
curve subtended by a threshold that can distinguish the cases that belong in the decision set from those that do not (Figure 5). The result is an expression of decision risk that is directly analogous to the concept of a Type II error in statistical hypothesis testing – that is, the likelihood that the alternative does not belong to the decision set if we assume that it does (Plate 33).
7 DECISION RISKUncertainty in the decision rule, and in the criteria that are considered, implies some risk that the decision made will be wrong. In the case of measurement error, the effects of uncertainty can fairly easily be propagated to the suitability map that is produced in MCE (see Heuvelink, Chapter 14; Heuvelink 1993). Furthermore, Eastman (1993) has developed a simple operator that can convert such an evaluation into a mapping of the probability that locations belong to the decision set (the PCLASS operator of the Idrisi software system).The operator assumes a normal distribution of errors and calculates the area under the normalcurve subtended by a threshold that can distinguish the cases that belong in the decision set from those that do not (Figure 5). The result is an expression of decision risk that is directly analogous to the concept of a Type II error in statistical hypothesis testing – that is, the likelihood that the alternative does not belong to the decision set if we assume that it does (Plate 33).
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