Ed Cha said:
I'm not a mathematician, but I think it would mitigate suspect voting.
My point being that the first thought is incorrect. In terms of human ego when looking at the final socres, the effects may be mitigated. But the effects one the winners and losers are not. Using a different range merely sets a breadth of scale. It does not change the mechanics, and thus doesn't change the final results.
Let us consider two products (A and B), and four voters (J, P, G, and R). R, for some reason, really wants B to win (or A to lose), no matter the actual merits of product A.
On a 1-10 scale, let's say the votes go like this:
Code:
A B
J 9 8
P 9 7
G 9 7
R 1 10
Avg 7 8
Here, we see B win. But, if R had voted more based upon actual merit, he might have given product A a 6. That would have given A a score of 8.25, and it would have won.
If we change this to a 1-5 scale, and map the scores, we get this:
Code:
A B
J 5 4
P 5 4
G 5 4
R 1 5
Avg 4 4.25
So again B wins. If R were voting like everyone else, he might have given A a 3, yielding a 4.5 average for A.
One is tempted to say that this is a contrived example, but that would be missing the point. The point here is merely to demonstrate the general principle that changing the range does not alter the end results. It does not matter what the votes are - if you do a basic mapping from one range to the other, the winners and losers will be the same people.
Sure, on paper getting a 4 out of 5, and losing to a 4.5 out of five, doesn't look so bad. Getting a 7 out of 10, and losing to an 8 may feel worse. But that's a trick of human perception. A loss is still a loss.
There are reasons to choose one range over another, but most of them are over in the human perception end of things. Mathematically, they're pretty much the same. Any scoring system like this will have a problem if some folks vote in a more analog mode (using the whole range), while others go for the digital min/max mode.