Operator's Manual
WP700Zi-OM-E-RevA
436
The other interesting attribute of this representation is that the slope of the lines gives the sigma of the
distribution. This is all common treatment so far. All is well for a single Gaussian distribution.
Now enter the idea that this coordinate transformation should have a variable normalization factor. This
normalization is such that when the area of an un-normalized Gaussian is
norm
, then that resulting CDF manifests
as straight lines with slope revealing sigma, and intercept with Q=0, giving the mean of the Gaussian PDF. This is
the “normalized Q-Scale” where:
As an example, when two different Gaussian distributions are analyzed in this way, their EDFs appear as below.
The linear fits on this coordinate scale yields the proper (simulated) values for their sigmas and means.
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