I was wondering if forum members could help me with this:
Iíve been writing a computer program for fun for Yahoo! fantasy hockey this year. It will read in the playerís stats from a file and give each player a rating out of 10 (like 7.8/10) for each of: Goals, Assists, Plus Minus Rating, Penality Minutes, Power Play Points, and Shots on Goal (all 6 stat categories have equal weight). It would then total up the ranks into an Overall Rank category, and print out the player names, from highest to lowest, perfect for draft day.
As I have it programmed now, the ranking algorithm is based on percentile (eg. top Goal Scorer gets 10 rating, median gets a 5, and bottom gets 0). This seems to be OK at first, but now in hindsight, I think itís wrong:
Say for example, the sample size was 4, and players one through four had a Goals total of 11,11,11,12 respectively. In this case, the player with 12 goals would get a rating of 10. To me this seems too much, and I think in terms of the player rankings, this category should almost be a tie, with everyone getting the same rating (say around 5 or something), with the overall player ranking being left to the other 5 categories instead. I hope Iíve explained myself well...
So my question(s) is/are: What topic in math/stats should I read up on? What subject am I talking about? Do you see any problems with my formula?
Thanks in advance,