Question

我期待应用贝叶斯方法来确定列表的优先顺序，该列表可以考虑喜欢，不喜欢和审核计数的数量。

here中列出的方法依赖于贝叶斯平均值：

$bayesian_rating = ( ($avg_num_votes * $avg_rating) + ($this_num_votes * $this_rating) ) / ($avg_num_votes + $this_num_votes);

在我的情况下，没有$avg_rating，因为它不是一个五星系统，它永远不会存在，喜欢，不喜欢和评论的数量总是递增，因此我需要照顾真正的代表性上市。

here中的解决方案不足以决定方法。

如果我想应用数学方法，最好的解决方案是什么？

编辑添加：参考。 @Ina，如果我将喜欢乘以5，可以反映5星系统，这使得它在5星系统中具有最高值。

回到代码后，添加一些额外的变量来处理（喜欢，不喜欢，评论次数，添加到购物篮的次数），我不确定我可以填写$avg_rating和$this_rating与？

以下是目前的代码：

// these values extracted from the database
    $total_all_likes = 10; //total likes of all the products
    $total_all_dislikes = 5; //total dislikes of all the products
    $total_all_reviews = 7; //total reviews of all the products
    $total_all_addedToBasket = 2; //total of products that has been added to basket for all the users
    $total_all_votes = ($total_all_likes *5) + $total_all_dislikes;  //total of likes and dislikes
    $total_all_weight = $total_all_votes + $total_all_reviews + $total_all_addedToBasket; //total interactions on all the products
    $total_all_products = 200; //total products count

    //Get the average
    $avg_like = ($total_all_likes*5)/$total_all_votes; //Average of likes of all the votes 
    $avg_dislike = $total_all_dislikes/$total_all_votes; //Average of dislikes of all the votes 
    $avg_reviews = $total_all_reviews/$total_all_products; //Average of reviews of all the products
    $avg_addedToBasket = $total_all_addedToBasket/$total_all_products; //Average of added to basket count of all the products
    $avg_weight = $avg_like + $avg_dislike + $avg_reviews + $avg_addedToBasket; //Total average weight

    //New product, it has not been liked, disliked, added to basket or reviewed 
    $this_like = 0 *5;
    $this_dislike = 0;
    $this_votes  = $this_like + $this_dislike;
    $this_review     = 0;
    $this_addedToBasket = 0;
    $this_weight = $this_votes + $this_review + $this_addedToBasket;

    //$avg_rating
    //$this_rating

    $bayesian_rating = (($avg_weight * $avg_rating) + ($this_weight * $this_rating) ) / ($avg_weight + $this_weight);

Answer 1

而不是五星系统，你有一个二进制系统。人们要么“喜欢”要么“不喜欢”。因此，评级自然是0到1之间的数字，由下式计算：

likes / (likes + dislikes)

您不需要乘以5来模仿5 *等级系统。

然后您的代码变为：

$avg_rating = $total_all_likes / ($total_all_likes + $total_all_dislikes)
$this_rating = $this_like / ($this_like + $this$total_num_positive_votes / $total_num_votes) // Check you're not dividing by 0
$bayesian_rating = (($avg_num_votes * $avg_rating) + ($this_num_votes * $this_rating) ) / ($avg_num_votes + $this_num_votes);

如果您还想考虑“篮子”和“评论”的数量，您可以简单地将它们视为“重量”

$this_weight = $this_addedToBasket + $this_votes + $this_review;
$avg_votes = $total_all_votes / $total_all_products;
$avg_weight = $avg_addedToBasket + $avg_votews + $avg_reviews;
$bayesian_rating = (($avg_weight * $avg_rating) + ($this_weight * $this_rating) ) / ($avg_weight + $this_weight);

这将为您提供良好的相对排名，但是如果您希望在0和1之间看到有意义的分数，那么您可以通过将篮子和评论添加的权重除去来进行标准化。

在非五星评级系统中应用贝叶斯平均值

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