I am trying to model a certain (discrete) behavior measured from source A, and the literature in the field have a model for a source A'.
The behavior itself for sources A and A' are pretty similar in the shape, but not in the absolute value.
In this figure, the plot in blue (G1) is the behavior measured for source A, in green (G2) the simulated behavior using our model for source A; and in red (G3) the simulated value for source A'.
My objective is to show that the shape of our model have is a better approximation for this behavior than the previous model. (It is quite clear to human eyes but I'd like to have some metric to validate our claim). Problems are:
At moment, I am using a scatterplot of Model x Measure, disregarding the slope and just taking in consideration the Pearson correlation, since models in both cases should grow/decrease at the similar points. Therefore, I am arguing that the greater the correlation, greater is the similarity between the model and the measure.
However, this is kinda indirect measure. Is there a more direct way to do this comparison?
Any help or comment is highly appreciated