The values of each of the seven risk factors were arranged so that the lowest value represents the lowest degree of risk of loss in the absence of auditing. A weighted index of overall risk for each business was derived using principal components analysis." Figure 2 shows the values of P, ranked from low to high, normalized to {0,1). The values assigned to P^ are relative risk measures, determining the relative speed at wbicb losses accrue to one firm in the absence of an audit compared to another firm. They do not carry any absolute significance. This means that tbe values of 3^ can be scaled up or down by a constant proportion without altering the rankings of firms in terms of their /„ values. The values of p, do, however, alter the range of optimal t^ values. We constrain the values of optimal /„ values to lie between 0 and 24 months, meaning that each firm has an optimal audit interval between 0 and 24 months. To do this we choose a baseline value of a beta scaling factor that yields a range of optimal ?„ within the {0,24) range. We follow Boritz and Broca in conducting a .sensitivity analysis {see discussion below) of the optimal ?„ values across the sample to alternative values of a beta scaling factor.
The values of each of the seven risk factors were arranged so that the lowest value represents the lowest degree of risk of loss in the absence of auditing. A weighted index of overall risk for each business was derived using principal components analysis." Figure 2 shows the values of P, ranked from low to high, normalized to {0,1). The values assigned to P^ are relative risk measures, determining the relative speed at wbicb losses accrue to one firm in the absence of an audit compared to another firm. They do not carry any absolute significance. This means that tbe values of 3^ can be scaled up or down by a constant proportion without altering the rankings of firms in terms of their /„ values. The values of p, do, however, alter the range of optimal t^ values. We constrain the values of optimal /„ values to lie between 0 and 24 months, meaning that each firm has an optimal audit interval between 0 and 24 months. To do this we choose a baseline value of a beta scaling factor that yields a range of optimal ?„ within the {0,24) range. We follow Boritz and Broca in conducting a .sensitivity analysis {see discussion below) of the optimal ?„ values across the sample to alternative values of a beta scaling factor.
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