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My remix of a painting by William Blake,
with the Meritology logo added. Get it?
He's shedding light on an impossible shape.
(Click to enlarge) |
The general problem is this:
How can we measure aggregate performance on an interval or ratio scale index when we have a hodge-podge of ground-truth metrics with varying precision, relevance, reliability, and that are incommensurate with each other?
Here's a specific example from the
Ten Dimensions:
How can we measure overall Quality of Protection & Controls if our ground-truth metrics include false positives percentages, false negatives percentages, exceptions number of exceptions, various "high-medium-low" ratings, audit results, coverage percentages, and a bunch more?
I've been wrestling with this problem for a long time, both in information security and elsewhere. So have a lot of other people. I while back I had an insight that the solution may be to treat it as an inference problem, not a calculation problem (described in
this post). But I didn't work out the method at that time. Now I have.
In this blog post,
I'm introducing a new method. At least I think it's new because, after much searching, I haven't been able to find any previously published papers. (If you know of any, please contact me or comment to this post.)
The new method is innovative but
I don't think it's much more complicated or mathematically sophisticated than the usual methods (weighted average, etc.), but it does take a change in how you think about metrics, evidence, and aggregate performance. Even though all the examples below are related to information security, the method is completely general. It can apply to IT, manufacturing, marketing, R&D, governments, non-profits... any organization setting where you need to estimate aggregate performance from a collection of disparate ground-truth metrics.
This post is a
tutorial and is as non-technical as I can make it. As such, its is on the long side, but I hope you find it useful. A later post will take up the technicalities and theoretical issues. (See
here for Creative Commons licensing terms.)