Sports Teams Standings Sorting

[bholbrook]

Okay, I have a list of 10 teams and I need them sorted top to bottom in order of standing. Calculating their order is where I'm having the problem.

 

I order the teams by:

 

1. WIN PERCENTAGE

2. POINTS

3. RECORD AGAINST TEAM TIED WITH

4. WINS

5. RUNS DIFFERENTIAL

 

I have all these figured out except #3. I don't even know where to start (thus the no code posting). Assume I can get an array with any and all information needed.

 

Keep in mind this scenerio:

 

TEAM 1 beat TEAM 2 twice

TEAM 2 beat TEAM 3 twice

TEAM 3 beat TEAM1 twice

 

These three teams are essentially tied and need to revert to tied breaker #4. If you know of an article on this kind of algorithm or if you've done this yourself, please let me know.

[.josh]

unless there is some sort of official rule.. they really aren't "tied" per se... I mean, team 2 never beat team 1. Team 3 never beat team 2.  Team 1 never beat team 3. 

 

I personally would just kinda make something up. Like...

 

team1 beat team2 50 to 40. That's 10 point margin for team1

team1 beat team2  45 to 42. That's 3 point margin for team1

 

team2 beat team3 64 to 36. That's 28 point margin for team2

team2 beat team3 19 to 12. That's 7 point margin for team2

 

team3 beat team1 42 to 40.  That's 2 point margin for team3

team3 beat team1 83 to 49.  That's 34 point margin for team3

 

totals:

team1: 13

team2: 35

team3: 36

 

Even then it's possible to "tie" so you can also consider margin of loss as well... you'd also maybe want to consider figuring these numbers on an overall scale. I mean, what if there was a team4 that had like 10 wins, 0 losses, but they only won by like 2 points every game, for a total of 20 point margin? Seems to me that that should somehow factor into this somehow, because team2 and team3 both have higher point margins.

 

[bholbrook]

Thanks for the reply

 

I understand what you're saying. My problem is in sorting the teams by how they played against each other, specifically how to create the relationship between each team.

 

I cannot change the ranking system as that is defined by the league and not by my program.

[.josh]

so...just make something up...like what I said.  I don't think the challenge is so much coding it but deciding on what's a "fair" way of ranking them.  Seems to me when you have a "circle" like that: 1 > 2 > 3 > 1 > 2 > 3 etc... that figuring out who won by the highest margins seems fair.  But maybe that's just me.  I'm not really into this sort of thing.

[bholbrook]

The circle was just an example, let's ignore the circle for a minute.

 

We have 4 teams:

 

TEAM 1 went 2 - 1

TEAM 2 went 2 - 1

TEAM 3 went 1 - 2

TEAM 4 went 1 - 2

 

TEAM 1 DEF. TEAM 2

TEAM 1 DEF. TEAM 3

TEAM 2 DEF. TEAM 3

TEAM 2 DEF. TEAM 4

TEAM 3 DEF. TEAM 4

TEAM 4 DEF. TEAM 1

 

How am I going to sort these teams? The rankings should be

 

TEAM 1 (Because they are tied for top of the league by their record WITH TEAM 2, who they beat)

TEAM 2 (Because they are tied for top of the league by their record WITH TEAM 1, who they lost to)

TEAM 3 (Because they are tied for bottom of the league by their record WITH TEAM 4, who they beat)

TEAM 4 (Because they are tied for bottom of the league by their record WITH TEAM 3, who they lost to)

 

How do I program this sort because on the logic in the parenthesis'?