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[PHP] 5 Star Rating - Lower bound of Wilson score confidence interval for a Bernoulli parameter
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<?php | |
/* | |
|-------------------------------------------------------------------------- | |
| 5 Star Rating | |
|-------------------------------------------------------------------------- | |
| | |
| Lower bound of Wilson score confidence interval for a Bernoulli parameter (0.9604) | |
| | |
| See: | |
| * http://www.evanmiller.org/how-not-to-sort-by-average-rating.html | |
| * https://gist.github.com/richardkundl/2950196 | |
| * https://onextrapixel.com/how-to-build-a-5-star-rating-system-with-wilson-interval-in-mysql/ | |
| | |
*/ | |
function score($positive, $negative) { | |
return ((($positive + 1.9208) / ($positive + $negative) - 1.96 * sqrt((($positive * $negative) / ($positive + $negative)) + 0.9604) / ($positive + $negative)) / (1 + 3.8416 / ($positive + $negative))); | |
} | |
function fiveStarRating($one, $two, $three, $four, $five) { | |
$positive = $two * 0.25 + $three * 0.5 + $four * 0.75 + $five; | |
$negative = $one + $two * 0.75 + $three * 0.5 + $four * 0.25; | |
return score($positive, $negative); | |
} | |
function fiveStarRatingAverage($avg, $total) | |
{ | |
$positive = ($avg * $total - $total) / 4; | |
$negative = $total - $positive; | |
return score($positive, $negative); | |
} | |
// Examples | |
echo fiveStarRating(10, 1, 2, 6, 90); // 0.80390178246001 | |
echo fiveStarRating(80, 1, 2, 6, 90); // 0.46188074417216 | |
echo fiveStarRating( 0, 1, 2, 6, 0 ); // 0.33136280289755 | |
echo fiveStarRating(10, 1, 2, 0, 2 ); // 0.079648861762752 | |
echo fiveStarRatingAverage(4.8000001907349, 10); // 0.65545605272928 | |
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