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Apr 29, 2016 at 18:07 comment added James The question is structured as such in hope that I would get a simple clear cut answer. It seemed to me that there would be a simple way to say 'this data is better represented by model x as opposed to model y'. The distribution of the ratios from the complete dataset show the median ratio is indeed about 1.00, but I'm not sure I can definitively say 'model x fits better than model y' merely by looking at the distribution. I can estimate proportions based on the mean ratio, but I was looking for an answer geared towards the initial question. I gave it a shot at least! I'll add an edit in the OP
Apr 29, 2016 at 17:34 comment added whuber A t-test does not answer your question. If you want to go that route, the answer depends on the prior probabilities you place on the two hypotheses (which is why I asked you about them yesterday). But why do you pose your question in this way in the first place? Why not learn as much as you can by looking at the distribution of the ratios? What about estimating the mixture proportions? You can't reasonably hope for a definitive answer until the true nature of your investigation is clear.
Apr 29, 2016 at 17:23 history edited James CC BY-SA 3.0
added 45 characters in body
Apr 29, 2016 at 17:04 history answered James CC BY-SA 3.0