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Logarithmic scale or 'log scale'

The use of a log scale offers several statistical and interpretational advantages over a linear scale. It is employed for two principal reasons:

First, it measures vertical movement on a proportional basis; this ensures that a given percentage movement is always represented by the same distance on the vertical scale. If, for example, a share price doubles from 40p to 80p, the vertical movement is exactly the same if it doubles again to 160p.

Second, it allows direct comparison to be made between any graphs in Company REFS which share a common vertical scale factor. Thus a graph with a scale ranging from 240p down to 60p is comparable with another ranging from 720p down to 180p. In both cases the highest price is four times the lowest, implying a height ratio of 4:1, a scale factor of 4.

A single common scale accommodating all companies is not used because it would need to encompass extremes of, say, £25 down to 1p. This would severely restrict the amount of vertical movement which most of the graphs could display, greatly diminishing the visual impact of all but a few graphs.

Company REFS therefore employs Scale 4 as a standard log scale in around 70% of the graphs whilst, for the remainder, the log scale is compressed to accommodate the full range of movement required.

When Scale 4 is insufficient to accommodate the extremes of movement, it is multiplied to the next appropriate higher value (e.g. Scale 8, Scale 16, Scale 32, etc.), and the value is shown above the right-hand corner of the graph.

helpfile00000139.gif Examples



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