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AUDIT ANALYTICS AUDIT

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<strong>AUDIT</strong> <strong>ANALYTICS</strong> AND CONTINUOUS <strong>AUDIT</strong>:LOOKING TOWARD THE FUTURE<br />

If there are only two ratios, say current ratio and ROA, a scatter plot<br />

shows how the point pairs (Current Ratio, ROA) are dispersed. Figure 5-8<br />

illustrates this using the Compustat-derived data for these two ratios<br />

summarized in figure 5-7. For comparability, scales have been changed so<br />

that 0 is the lowest for each ratio and 1 is the highest, with the relative<br />

measurement retained. Outliers are those points that lie a significant<br />

distance from the median. In figure 5-8, X marks the median point and<br />

the farthest outlier is circled. To use this chart in practice the auditor<br />

would compute the entity’s current ratio and ROA and compare the pair<br />

to the points in figure 5-8, and would typically be concerned if the point<br />

is in the "weak" lower left. figure 5-9 shows the distribution of the<br />

distances of the points depicted in figure 5-8 from the median point<br />

marked with an X.<br />

If there were three ratios, the scatter of points (Ratio 1 , Ratio 2 , Ratio 3 )<br />

would occupy a three-dimensional "box" chart rather than the flat sheet<br />

occupied by figure 5-8. For more than three dimensions we lose the<br />

ability to depict the points graphically though they can be handled just as<br />

easily mathematically. The equivalent of figure 5-9 works regardless of<br />

the number of dimensions.<br />

Figure 5-8: Dispersion of the Ratio Pair (Current Ratio, ROA)<br />

126

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