问题描述
Wilson的置信区间将值TRUE或FALSE或分别为"upvotes"和"downvotes"作为参数.从这些票中，它会产生一个评分.
Wilson's Confidence Interval takes as arguments the values TRUE or FALSE, or "upvotes" and "downvotes" respectively. From these votes it generates a rating.
就我的项目而言，我认为WCI是完美的.但是，标量的赞成和反对票不足以描述我所评价的事物.
For the purpose of my project, I think WCI is perfect. However, the scalar upvote and downvote is not enough to describe the thing I am rating.
这就是5星评级的地方，这是我需要有人证明我的逻辑的地方.现在，我正在考虑，如果我要使用WCI实施5星评级，那么以下工作应该可以正常进行，而不会破坏置信区间的内部结构.
That's where 5 star rating comes in, and this is where I need someone to disprove my logic.Now I'm thinking, if I were to implement a 5 star rating with WCI then the following should work without hacking the internals of the confidence interval.
为评分小部件中的每颗星星分配一个唯一的整数值.每个值都可以算作正数(正数)或负数(负数).因此，以下值为:
For each star in the rating widget we assign a unique integer value. Each value either counts as a positive (upvote) or negative (downvote). So the following values would be:
1/5颗星:-22/5星:-13/5星:14/5星:25/5颗星:3
1/5 stars: -22/5 stars: -13/5 stars: 14/5 stars: 25/5 stars: 3
总结以上值.1星的最低票数被选为2票.2颗星的投票被评为1颗否决票.对于3颗星的中票，我们给1票.对于4星，我们给出2票.对于最多5颗星，我们将进行3次投票.
To summarise the above values. The minimum vote of 1 star is classed as 2 downvotes. A vote of 2 stars is classed as 1 down vote. For the medium vote of 3 stars we give 1 upvote. For 4 stars we give 2 upvotes. And for the maximum of 5 stars we give 3 upvotes.
请反驳这种逻辑，为什么这种方法不起作用?也许这与星级评定系统的普通人的理解"背道而驰?
Please, disprove this logic, why won't this work? Maybe it goes against the "average person's understanding" of a star rating system?
推荐答案
很容易想到以下解决方法"，它将多排名系统转换为二进制的"upvote/downvote"风格的排名(随后可以使用Wilson得分置信区间的下限进行得分):
It's easy to think of the following 'workaround' which converts a multi-ranking system to the binary 'upvote/downvote'-style ranking (that can then be scored using the lower bound of Wilson score confidence interval):
假设您拥有流行的5星级评分系统.因此，我们有很多票，每个票的价值分别为:1、2、3、4或5.
Let's say you have the popular 5 star rating system. So we have a number of votes, each having a value of: 1, 2, 3, 4 or 5.
要将这些评分转换"为上/下票，请使用以下规则:
To 'convert' these ratings to up/down votes, use the following rule:
For star rating -- Add
* - 0.00 to up votes and 1.00 to down votes (i.e. a full down vote)
** - 0.25 to up votes and 0.75 to down votes
*** - 0.50 to up votes and 0.50 to down votes
**** - 0.75 to up votes and 0.25 to down votes
***** - 1.00 to up votes and 0.00 to down votes (i.e. a full up vote)
在将5星评级降低为上/下评级之后，我们可以继续进行Evan Miller文章中所述的常规得分计算.
After we reduce the 5 star ratings to up/down ratings, we can proceed with the usual score calculations described in Evan Miller's article.
由于我不是统计学家或数学家，所以我很想听听其他人的意见，不管这是否有意义，以及这种方法可能会带来什么问题.
As I am not a statistician or mathematician and I would love to hear from other people if this makes sense or not and what might be the issues with this approach.
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