具有5星级评分的图像的竞赛结果排名 [英] Ranking Contest Results of Images with 5-Star Ratings
问题描述
我举办了一个日历摄影比赛，该比赛使用了5星级评分系统，该系统会根据图像的平均评分对图像进行排名.但是，我想将一张照片获得的总票数考虑在内，以获得更准确的排名.例如，我不希望获得具有1个5星投票(平均评级:5)的图像的排名高于具有10个5星投票和1个4星投票(平均评级:4.9)的图像.
I run a calendar photo contest that uses a 5-star rating system which ranks the images according to their average rating. However, I would like to factor in the total number of votes a photo receives to get a more accurate ranking. For example, I do not want an image with 1 5-star vote (Avg rating: 5) getting ranked above an image with 10 5-star votes and 1 4-star vote (Avg rating: 4.9).
我知道这个话题以前曾提出过，但是我似乎找不到适用于我的特定情况的简单答案.埃文·米勒(Evan Miller)的网站让我望而却步...我只是在寻找一种简单的计算方法，可以对获得较高总票数的图像赋予更大的权重.
I know this topic has been raised before, but I can't seem to find a straightforward answer to apply to my particular situation. The Evan Miller site goes way over my head… I'm just looking for a simple calculation that gives more weight to images that receive a higher number of total votes.
The closest answer I've found is located here: What is a better way to sort by a 5 star rating?. My only problem with this solution is that I don't have a variable "m" in my scenario, and I don't know what kind of effect it will have if I arbitrarily assign a value to "m".
如果我具有以下变量，我应该使用什么公式来实现所需的排名类型?我还需要考虑其他因素吗?
If I have the following variables, what formula should I use to achieve the type of ranking desired? Do I need to factor in anything else?
R: Average rating of image
v: Total Votes of image
C: Average rating of ALL images
任何帮助将不胜感激.谢谢！
Any help would be tremendously appreciated. Thanks!
推荐答案
您可以简单地计算平均分数
You can simply calculate average score,
，但最好对给出的总投票数进行更正. 一种纠正方法是添加虚拟"低票(例如10个一个)，所以
but it's better to add a correction for total number of votes given. One way to correct is to add "dummy" low votes (e.g. 10 ones), so
具有大量答案的照片看到其修改后的平均值与实际平均值相差不大，但是具有相对较少票数的照片将看到其修改后的平均值朝着较低的值移动.
Photos with a large number of answers see their modified average alter very little from their real average, but photos with relatively few votes will see their modified average move considerably toward low values.
这称为"贝叶斯平均". 实际上，具有很多答案的照片的排名将高于具有相同平均水平但票数较少的照片.
This is known as "Bayesian averaging". In effect, the photos with many answers will rank higher than photos with the same average but fewer votes.
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