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statistics

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    Statistical Illusions Entry #0446

    Why a lagging statistic invites the wrong correction

    The number describes a situation that has already moved. Acting hard on it applies force in the direction the system has just finished going.

    Novice
    The hidden part #0446

    When the measurement lag matches the system’s response time, a proportional correction becomes an oscillation. Each step is defensible; the sequence is not.

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    Statistical Illusions Entry #0445

    The reason a self-selected panel overstates strong opinions

    Answering costs time, and the people who pay it are those with something to say. Indifference is the hardest state to get into a dataset.

    Master
    The hidden part #0445

    Willingness to answer is itself an attitude, and weighting cannot repair it. Indifference is the state a voluntary survey cannot record.

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    Statistical Illusions Entry #0444

    Why the sample frame decides the result

    Sampling errors shrink with size; frame errors do not. If the list you draw from excludes a group, no amount of sampling from it will find them.

    Adept
    The hidden part #0444

    Size shrinks sampling error and leaves coverage error untouched. A precise estimate of a frame is not an estimate of a population.

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    Statistical Illusions Entry #0443

    The reason a leading indicator stops leading

    It led because of a structure that produced the delay. When the structure changes, the correlation stays in the historical data and leaves the future.

    Novice
    The hidden part #0443

    An indicator leads because of a structure, not because of its history. Fit is measured with data nobody had at the time.

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    Statistical Illusions Entry #0442

    Why a cluster is expected in random data

    Randomness produces clumps. A pattern spread out evenly is the unlikely arrangement, so finding a cluster is not yet finding a cause.

    Adept
    The hidden part #0442

    Independent events arrive in bursts, so a cluster is the expected texture rather than a signal. Evenness is what would need explaining.

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