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Cake day: August 14th, 2023

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  • To expand further on what you’re saying, the problem with the linked article’s mathematical/statistical analysis is that it uses a slightly more sophisticated version of misleadingly using “average”/mean in a context where median would be more appropriate.

    Specifically, they talk about the spending of the top 10% in the aggregate, and point to the threshold of when a household tips into that top decile. Well, that aggregated number is itself heavily skewed towards the higher end of that spectrum, where the people in the 99th percentile are contributing a lot more weight than those in the 90th.

    Here are the cutoffs for income thresholds to hit each percentile at or above 90:

    90: $235k
    91: $246k
    92: $260k
    93: $275k
    94: $295k
    95: $316k
    96: $348k
    97: $391k
    98: $461k
    99: $632k

    Note that this doesn’t even get into the 0.5% or 0.1%, which skew things even further. Even without that level of granularity, you can see that the median in this group is about $305k while the mean is closer to $350k.

    When you include the billionaires, the difference skews even further.

    That’s the math error at the center of this thesis. The facts reported might be true, but in a way that groups things together misleadingly.



  • You’re mostly right, but your comment also assumes independent probabilities rather than correlated probabilities of danger. Sometimes multiple crashes can trace back to the same cause: one particular manufacturing defect on a model of aircraft sold thousands of times, one bad practice on air traffic control procedure, one bad actor targeting multiple aircraft, etc.

    Purely hypothetically, as an example, if it turned out that there was a terrorist group targeting aircraft via anti aircraft missiles, then that group’s success at bringing down an airliner would actually worsen the odds of passengers on other aircraft, at least until we receive external information that the threat has passed.