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<?php
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declare(strict_types=1);
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namespace Phpml\Math\Statistic;
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/**
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 * In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.
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 * Informally, it measures how far a set of (random) numbers are spread out from their average value
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 * https://en.wikipedia.org/wiki/Variance
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 */
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final class Variance
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{
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    /**
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     * Population variance
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     * Use when all possible observations of the system are present.
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     * If used with a subset of data (sample variance), it will be a biased variance.
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     *
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     *      ∑⟮xᵢ - μ⟯²
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     * σ² = ----------
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     *          N
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     */
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    public static function population(array $population): float
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    {
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        return StandardDeviation::sumOfSquares($population) / count($population);
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    }
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}