Im wanting an (possible) answer for the following question (of course theres not an exact answer but I'm OK with something reasonable)
http://stats.stackexchange.com/questions/89012/aggregate-ranking-from-multiple-ranked-lists
the social choice answer is not acceptable, btw.
The problem of course is that not everyone has tried every sort of fruit, if they had then the solution would be easy.
The more I think about it, the more I see you can't really come up with something satisfactory, and what will happen is the more commonly tried fruits eg Apples will come to the top because everyones tried them in place of the more exotic (in the west) eg Rambutan's or whatever.
OK 3 fruit choices isnt really enough, say increase it to 10, & have 10 ppl choosing their personal preferences.
10 ppl have banana's at between 8-10 on their list's
4 ppl have rambutan's between 1-3 on their lists (it doesnt appear on the other 6 lists, perhaps 2 tried it and hated it but the other 4 havent even tried it)
Looking at that I would put rambutans's higher, based on average list placement but I feel you've also gotta reward banana a bit extra for just being on more ppl's lists ( i.e. I assume everyone has tried more than 10 different fruits).
Does this make sense somewhat? Sorry if unclear
Any Ideas?, cheers zed
http://stats.stackexchange.com/questions/89012/aggregate-ranking-from-multiple-ranked-lists
the social choice answer is not acceptable, btw.
The problem of course is that not everyone has tried every sort of fruit, if they had then the solution would be easy.
The more I think about it, the more I see you can't really come up with something satisfactory, and what will happen is the more commonly tried fruits eg Apples will come to the top because everyones tried them in place of the more exotic (in the west) eg Rambutan's or whatever.
OK 3 fruit choices isnt really enough, say increase it to 10, & have 10 ppl choosing their personal preferences.
10 ppl have banana's at between 8-10 on their list's
4 ppl have rambutan's between 1-3 on their lists (it doesnt appear on the other 6 lists, perhaps 2 tried it and hated it but the other 4 havent even tried it)
Looking at that I would put rambutans's higher, based on average list placement but I feel you've also gotta reward banana a bit extra for just being on more ppl's lists ( i.e. I assume everyone has tried more than 10 different fruits).
Does this make sense somewhat? Sorry if unclear
Any Ideas?, cheers zed