Now I don’t use Eureqa for my research, mostly because the models I am using currently seem to me to be too difficult for me to instantiate in Eureqa (but not in Excel!)… But I watch the discussions.
For my modelling, I use AICc to help choose between forms of models. In one experiment, I have, for instance, 14 experimental conditions in which I vary the temporal characteristics of inputs (to pigeons) that change over time, and I measure how their choices change over times. The basic data are very stable (and very extensive) as I expose each of the birds to around 85 hours (sessions) of a single manipulation, and each session has up to 80 presentations of the temporal changes each over, say, a minute. I may have 8 models.
My problem is this – empirically, some of the manipulations result in more changes in choice over time (the behavior is controlled by the manipulation; more variance to be accounted for), and some less (less total variance). AICc points to various models, but here’s my question: Surely I should put more weight on results from conditions with greater variance? But I have not seen a discussion of such things, and wonder whether any of you know of such a discussion. Maybe Burnham and Anderson discussed this, but I can’t check because (as is common), a student ran off with my copy…
Any help anyone can give would be much appreciated. But please remember, I’m not a mathematician, but a mere psychologist.
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Dave - thanks for that! Actually, for years, I have been telling my UG and G students that if they are doing Psych as an easy option, they need to know that it is considerably more complex than the mature sciences; and because it is an immature and complex science, it's much more interesting and has many more creative possibilities than the mature sciences. A few hear this.
Perhaps, if you're interested, I could privately send you some papers and data and graphs, and see what you think?
m