• Risks Digest 31.97 (2/2)

    From RISKS List Owner@21:1/5 to All on Tue Jun 9 16:11:35 2020
    [continued from previous message]

    deviation*, thus for the Cauchy distribution (and many other commonly occurring distributions) Arthur's phrase "the size of the standard
    deviation" is nonsensical.

    I think the rule here is "know your distribution", and don't apply the rules for one when the numbers are a different one. It's like the chi-squared test
    -- it's tempting to use it more than you should because it seems good, but
    it's actually totally inappropriate under most circumstances.

    Takeaway: when some distribution is not 'normal', then our INTUITION FAILS US.

    Let me rephrase that -- when the distribution is not a Bell Curve, then the General Public will completely misunderstand it.

    The sign on an abnormal distribution should read: "Abandon all
    intuition, ye who enter here". Something is dreadfully wrong when the variance/standard deviation or even the mean/expected value does not exist. Even when the mean/'expected value' does exist for such an abnormal distribution, it is almost always misleading and/or useless. Perhaps it would be more appropriate to call such a mean 'the SUSpected value'!:-)

    I think you think you are talking about pretty much anything outside of a
    Bell Curve. But other distributions are also well understood (by statisticians).

    For example, your beloved (ab)normal SuperSpreader distribution is just a normal skewed distribution -- the same distribution and maths associated
    with salaries, actually -- and I would think that is well understood!

    (And while I would not claim to be a statistician, having studied
    Statistics, Relativity and Quantum Mechanics at Uni, I can at least spot a bullshit argument relatively <groan> easily.)

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    Date: Tue, 9 Jun 2020 11:24:37 +0300
    From: Amos Shapir <amos083@gmail.com>
    Subject: Re: Just Stop the Superspreading (Baker, Risks 31.96)

    The way I've heard it, when one asks "Why do models use the normal distribution?", statisticians say "We don't know, the mathematicians tell us it's easier to calculate that way", and mathematicians say "We don't know,
    the statisticians tell us this is what happens in the real world".

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    Date: Tue, 9 Jun 2020 08:25:06 -0700
    From: Rob Slade <rmslade@shaw.ca>
    Subject: Re: Just Stop the Superspreading (Baker, RISKS-31.96)

    and with Avagadro's number of 'independent' variables

    Does that mean we have a mole influencing our decisions?

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    Date: Mon, 1 Jun 2020 11:11:11 -0800
    From: RISKS-request@csl.sri.com
    Subject: Abridged info on RISKS (comp.risks)

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