Numerology, Statistics and Other Magic

Posted on 16 October 2008

Has Our Obsession with Quantification Caused Our Downfall?
 

MagicianAt the height of the credit boom, one of the pieces of mythologogy doing the rounds was that you could quantify and measure risk so precisely that it pretty much ceased to be . . . well, risky. Banks and hedge funds employed all kinds of pointy-headed types, from mathematicians to theoretical physicists, to produce ‘risk-management’ algorithms that they claimed made it possible to make money all of the time.

Like every other kind of ‘sure thing’, from infallible gambling systems to simple ways to make millions with nothing more than a home computer and a whole lot of faith, this one too proved to be little more than the latest version of snake oil.

The interesting point, however, is not so much that another infallible system failed, as why people seem to be so prone to believing in the myth of quantification as a substitute for common sense?

Misunderstanding numbers

Part of the problem, I believe, comes from a basic misunderstanding of numbers. Numbers represent a precise language in which it is perfectly possible to express the most total nonsense.

Words sometimes have quite imprecise meanings, but a number is a number. Two never means three, or ‘nearly two’ or ‘somewhere between one and five’. You can add numbers together a zillion times and always get the same answer. They are so reassuringly precise on the surface that they lull us into believing that whatever comes in numbers is as precise as they are.

That, of course, is not true. While I can set the odds on something to the fifth—or fiftieth—decimal place, and verify my computation as many times as I like, all that super-precise number is telling me is the outcome of a process that might well be full of unsupported assumptions, logical holes and guesswork.

The numerical precision of the outcome—often enhanced by the fact that it was produced by an ‘infallible’ computer (which is not infallible either and whose precision is merely mechanical)—seems to allow people to forget that what it represents is no more that a statement of someone’s thinking: a human product as likely to be full of holes and mistakes as any other.

Human nature, numbers and risk

Human beings are both uncomfortable and incompetent when it comes to dealing with risks—even more so when that risk is mixed up with the impenetrable jargon of possibilities. Yet risk is what leadership is all about. If what to do is clear and there is little or no uncertainty about the outcome, who needs a leader?

Strategy, by definition, deals with trying to estimate what to do for the best in situations of extreme uncertainty and ambiguity. Numbers don’t work well to express ambiguity. Their calculation is too unreliable when there are multiple sources of ambiguity and no way of deciding between them. Put simply, in ambiguous and unquantifiable (precisely!) situations, numbers are both misleading and often plain impossible to produce with any accuracy.

Still, the big bosses want numbers, so the little workers dutifully churn them out, even if they know they’re nonsense from the start. By they time they reach the executive suite, they’ve been sanctified by so many committees and middle managers that no one will question them.

Leadership should be based on judgment, not computation

It is exactly in such ambiguous situations that too many executives put their greatest trust in numbers—even though that’s when numbers are at their least accurate or useful.

I suspect that it’s the precision of numbers that causes the problem. They seem so reassuring when everything else is vague and impossible to get a hold of. The same long-term, uncertain aspects of strategic decisions that make us so insecure increase the surface attractiveness of quantified data. Indeed, the more complex they appear to be—and the less we understand them—the more ‘scientific’ we’re tempted to assume they are.

People who feel afraid that they may not be doing the right thing, or making the correct choices, want to see some numbers to lull themselves into the belief that they have a solid basis on which to decide. That’s make-believe, of course; any half-competent statistician can make those numbers say whatever he or she wants them to say. But it’s such wonderfully reassuring make-believe.

Omens, auguries and statistics

The ancient Romans used to sacrifice animals and scan their livers for signs to help them decide on the right course of action for future. We laugh at such ‘unscientific’ ideas, but are we so very different?

They had some very precise guidelines for what did or did not count as an omen. Those who made these auguries did so according to careful observations and a clear set of ideas about what each spot or blemish meant. The emperor and his courtiers weren’t expected to understand such esoteric ideas. That’s what they employed augurs to do for them. The emperor’s job was to listen to what the augurs said, then decide, basing his decision on whatever they told him.

How is that so different from the CEO who listens to some manager droning through a PowerPoint presentation that lists the precise risks and benefits of a plan. That CEO is just as unlikely to have anything save the sketchiest notion of what on earth lies behind all those calculations; let alone be able to decide whether they are based on anything but the craziest estimates of future conditions.

I began my working life as a very junior person producing statistical projections for my betters. Did I always know what I was doing? Hell, no. Much of what I did was based on assumptions those same people gave me to work with. In essence, I was turning their guesswork and gut-feel into numbers. At the end of the process, what came out was no better than what went in (sometimes worse, if I miscalculated). However, since it was now safely expressed in ‘scientific’, quantified ways, it commanded a level of respect it never would have had before.

Let’s stop kidding ourselves. The future cannot be computed. Risks cannot be fully quantified. It’s the job of leaders to stick to reality and acknowledge they cannot know in advance what will happen—then use their best judgment anyway. Guesses and assumptions masquerading as scientific calculations are still guesses. They’ve only changed their clothing.

A risk is always a risk. A big one is riskier than a small one. Acknowledge that and you’re at least forewarned that your strategy may well go wrong. Pretend you’ve found a way to make it a near certainty and you’ll probably bet the farm on it—then have to run to the tax-payer to bail you out.


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This post was written by:

Carmine Coyote - who has written 295 posts on Slow Leadership.

Carmine Coyote is the founder and editor of Slow Leadership, with a career that stretches from early employment as an economist, through periods in government service, academia and several multinational companies, to retiring as CEO of a US consulting company and partner in a large business services firm. Carmine now lives in Arizona, but is British for all that.

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8 Comments For This Post

  1. Martin Wildam says:

    Of course there are things that can be measured - while others can’t - but anyway often when measuring already a lot is forgotten. I remember cases where customers told me about their data amount on their working directories and later it turned out that they forgot to mention some.

    My rule of thumb: The more general the statistics the less reliable.

    The other problem: The more specific a statistic the less applicable.
    When I read about scientific researches I often have the impression that they look at such a tiny part of a scenario of a specific part of nature so that I ask myself what it is worth such a very specific result that will never occur in real life.

  2. Carmine Coyote says:

    @Martin Wildam: Thanks for your comment, Martin. While most kinds of measurements can be useful, when appropriately and properly done, my concern is the way people have come to substitute almost any numerical statement for thought and commonsense. Just because “the numbers say it . . .” doesn’t mean it’s true. Keep reading, my friend.

  3. Wally Bock says:

    Excellent point about judgment, Carmine. A person who knew something about that, Arthur Wellesley said that “The whole art of war consists of guessing at what is on the other side of the hill.”

    The number-crunching can lead to hubris. We, very bright people, hire other very bright people to create computer models that will outwit the laws of nature, human nature and economics. For a while things look good. The quant jocks make huge profits, others are pressured to do that same since things are going so well. And so they follow the pipers over the cliff believing until just before they hit the ground that they’re flying.

    We moderns sneer at people of earlier times who believed, as Moses did, that if we can just find the name of God, we will have the power. But numbers are our golden calf. We believe that if we can work things out to eight decimal places, it means we have a better answer, without entertaining the possibility that we might have a more precise wrong answer.

  4. Carmine Coyote says:

    @Wally Bock: Thanks, Wally. Glad you found it interesting. The worship of numbers is something that we can only hope this crisis may have cured—at least in some people. Keep reading, my friend.

  5. Derk de Geus says:

    I found this an intriguing post. I believe that when dealing with the future, one should indeed embrace the uncertainty principle. Numbers do have their place, but they belong in the past and should always be accompanied with their context. Having said that, I guess they have their worth. But I would find it hard to place an exact number on that value…

    Thanks for another excellent post!

  6. Carmine Coyote says:

    @Derk de Geus: Thanks, Derk. I’m glad you found it useful. Keep reading, my friend.

  7. Wally Bock says:

    Congratulations! This post was selected as one of the five best business blog posts of the week in my Three Star Leadership Midweek Review of the Business Blogs.

    http://blog.threestarleadership.com/2008/10/22/102208-a-midweek-look-at-the-business-blogs.aspx

    Wally Bock

  8. Carmine Coyote says:

    @Wally Bock: Thanks, Wally. Keep reading, my friend.

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