Prediction rankings

[jam5991]

I am trying to predict rankings for these players for any season ahead.
For example, how could I predict the ranking for player 1 for season #34?

ur=unranked for that season

 

[staassis]

You can estimate a random utility probit model, assuming you have observed

1) players' performance,
2) various characteristics of the players (age, experience, success rate, publicity, compensation, etc)

over many seasons. 17 seasons is too little for any intelligent inference. Basing one's inference on 17 observations only is essentially guessing, glorified with formulas.

 

[jam5991]

Assuming the sample I gave ran the span over 100 seasons, how would you estimate their rankings in the following seasons?

 

[staassis]

That's better. As I said, some random utility probit model could be used.

 

[jam5991]

Any one in particular you would recommend?
An example and/or link would really help.

 

[staassis]

That is one particular model: random utility probit model. When I said: "some ... model", I meant: "with a carefully chosen set of predictors"... Here is a link to extensive overview of various random utility modeling frameworks:

http://pages.stern.nyu.edu/~wgreene/DiscreteChoice/Readings/Greene-Chapter-23.pdf

If you google long enough, you will find a somewhat shorter and simpler exposition.