I have a dataset of historical tennis matches, one row per match. Each row has the ELO points of each player, and a calculated ELO difference. And of course a column to indicate if Player 1 won as a 1 or 0.
There are other predictor variables involved but for the sake of this example I just want to know how would I go building this kind of model where there can be both numerical and categorical independent variables, and a 1 or 0 dependent variable. (I would be using SAS).
What kind of distribution function would I be using, and what kind of link function would I be using?
Ideally the result would give the probability of winning as a function of ELO difference. Is this possible using a GLM?