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I always thought it would be nice to sort by stars x reviewers or stars x log(reviews) -- something like that. Something that better balances rating and popularity. One of the most annoying things in amazon search by rating is scrolling through screens and screens of products with one user giving a product 5 stars.

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Agreed, I find it amazing that this still hasn't been addressed. "Sort by Average Score" should definitely factor in the number of reviews. It's an easy fix from a technical perspective because you can also sort by number of reviews. Just combine the two!

Definitely good idea, currently I redirect to Amazon and it is not easy with even with Amazon Advertising API because when you request amazon only turns 10 products and for another 10 you need a new request. You need to request lots of pages to calculate it and Amazon has request limits.

Not exactly what you said but similar search result can be done in two steps by jeviz.com.

1-) Choose sort by Most Reviews, which is an sort option Amazon generally hides

2-) From Average Customer Review choose 4 stars and & up

this will sort all products that are 4 or above stars but in most reviews order.

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