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<?php declare(strict_types=1); |
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namespace AlecRabbit\Tools; |
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class TDistribution |
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{ |
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protected const T_VALUES = |
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[ |
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9
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1 => [12.71, 31.82, 63.66, 127.3, 318.3, 636.6], |
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10
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2 => [4.303, 6.965, 9.925, 14.09, 22.33, 31.6], |
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11
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3 => [3.182, 4.541, 5.841, 7.453, 10.21, 12.92], |
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12
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4 => [2.776, 3.747, 4.604, 5.598, 7.173, 8.61], |
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13
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5 => [2.571, 3.365, 4.032, 4.773, 5.893, 6.869], |
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14
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6 => [2.447, 3.143, 3.707, 4.317, 5.208, 5.959], |
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15
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7 => [2.365, 2.998, 3.499, 4.029, 4.785, 5.408], |
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16
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8 => [2.306, 2.896, 3.355, 3.833, 4.501, 5.041], |
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17
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9 => [2.262, 2.821, 3.25, 3.69, 4.297, 4.781], |
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18
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10 => [2.228, 2.764, 3.169, 3.581, 4.144, 4.587], |
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19
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11 => [2.201, 2.718, 3.106, 3.497, 4.025, 4.437], |
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20
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12 => [2.179, 2.681, 3.055, 3.428, 3.93, 4.318], |
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21
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13 => [2.16, 2.65, 3.012, 3.372, 3.852, 4.221], |
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22
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14 => [2.145, 2.624, 2.977, 3.326, 3.787, 4.14], |
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23
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15 => [2.131, 2.602, 2.947, 3.286, 3.733, 4.073], |
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24
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16 => [2.12, 2.583, 2.921, 3.252, 3.686, 4.015], |
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25
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17 => [2.11, 2.567, 2.898, 3.222, 3.646, 3.965], |
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18 => [2.101, 2.552, 2.878, 3.197, 3.61, 3.922], |
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27
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19 => [2.093, 2.539, 2.861, 3.174, 3.579, 3.883], |
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28
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20 => [2.086, 2.528, 2.845, 3.153, 3.552, 3.85], |
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29
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21 => [2.08, 2.518, 2.831, 3.135, 3.527, 3.819], |
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22 => [2.074, 2.508, 2.819, 3.119, 3.505, 3.792], |
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23 => [2.069, 2.5, 2.807, 3.104, 3.485, 3.767], |
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24 => [2.064, 2.492, 2.797, 3.091, 3.467, 3.745], |
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25 => [2.06, 2.485, 2.787, 3.078, 3.45, 3.725], |
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26 => [2.056, 2.479, 2.779, 3.067, 3.435, 3.707], |
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27 => [2.052, 2.473, 2.771, 3.057, 3.421, 3.69], |
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28 => [2.048, 2.467, 2.763, 3.047, 3.408, 3.674], |
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29 => [2.045, 2.462, 2.756, 3.038, 3.396, 3.659], |
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30 => [2.042, 2.457, 2.75, 3.03, 3.385, 3.646], |
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40 => [2.021, 2.423, 2.704, 2.971, 3.307, 3.551], |
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40
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50 => [2.009, 2.403, 2.678, 2.937, 3.261, 3.496], |
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41
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60 => [2, 2.39, 2.66, 2.915, 3.232, 3.46], |
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42
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80 => [1.99, 2.374, 2.639, 2.887, 3.195, 3.416], |
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100 => [1.984, 2.364, 2.626, 2.871, 3.174, 3.39], |
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120 => [1.98, 2.358, 2.617, 2.86, 3.16, 3.373], |
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10000 => [1.96, 2.326, 2.576, 2.807, 3.09, 3.291], |
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]; |
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protected const P_VALUES = [ |
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0 => 0.95, |
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1 => 0.98, |
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2 => 0.99, |
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3 => 0.995, |
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4 => 0.998, |
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5 => 0.999, |
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]; |
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/** |
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* @param int $numOfMeasurements |
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* @param float $p |
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* @return float |
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*/ |
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public static function tValue(int $numOfMeasurements, float $p = 0.95): float |
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{ |
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$x = array_search($p, self::P_VALUES, true); |
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$y = self::getClosest($numOfMeasurements); |
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return self::T_VALUES[$y][$x]; |
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} |
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/** |
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* @param int $search |
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* @return int |
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*/ |
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protected static function getClosest(int $search): int |
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{ |
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$closest = null; |
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foreach (self::T_VALUES as $key => $item) { |
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if ($closest === null || abs($search - $closest) > abs($key - $search)) { |
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$closest = $key; |
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} |
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} |
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return (int)$closest; |
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} |
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} |
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alecrabbit /
php-simple-profiler
