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Jul 10, 2014 at 8:17 comment added Sideshow Bob Alas there is more I'm not saying. Each algorithm has a (different) number of calibration parameters so I want to use AIC to reflect the complexity of correctly choosing these.
Jul 9, 2014 at 16:06 comment added Frank Harrell Since your regressions are simple and you don't have any apriori reason to assume linearity, I would just use Spearman's $\rho$ to describe the predictive discrimination for each combination of variables.
Jul 9, 2014 at 10:01 comment added Sideshow Bob When I say different techniques I mean different predictor variables derived in different ways. I am producing a comparative study to determine which of a number of simulation algorithms best predict traffic flow. Each algorithm produces a variable X - the flow in the simulation - and I regress Y, the actual measured flow, against X (in four different datasets). So I am trying to produce a single AIC for each algorithm to show its effectiveness. This would somehow be a combination of the AICs of each X-Y regression in different areas for that algorithm.
Jul 8, 2014 at 19:48 comment added Frank Harrell I think I understand the possible need for four different test datasets, but I'm not clear on why you are using different techniques as opposed to a single unified, flexible technique.
Jul 8, 2014 at 17:01 comment added Sideshow Bob What about combining relative likelihoods - is it reasonable to take a mean of these?
Jul 8, 2014 at 16:54 comment added Sideshow Bob I would like to produce a single summary statistic for each technique, to allow comparison of the effectiveness of each. Above I have referred to each technique as a "group of models". Within the group there is one model per test area. So that's why I have multiple models divided into groups. Does that make it any clearer?
Jul 8, 2014 at 16:53 comment added Sideshow Bob In concrete terms: I am comparing different techniques for predicting vehicle flow. I try out each technique in four different areas i.e. on four different data sets.
Jul 8, 2014 at 15:46 history answered Frank Harrell CC BY-SA 3.0