I have two groups of subjects (healthy & patients). Each subject's data (>70000 samples) were displayed using a histogram. For some, it appeared to be a mixture of two Gamma function, whereas for others it appears to be that a Gamma function would be sufficient for modelling.
I am working on a Matlab script to apply mixture Gamma modelling. I have a question on how to deal with the fact that some of the subjects' data may be modelled using mixture modelling, but not others.
My plan is to apply the mixture modelling to all datasets, then discard the model with a small probability. Would that suffice?
For comparing the two groups, what would you recommend for comparing the alpha & gamma values from the modelling results?
Say, group A has 10 subjects: 4 of them were modelled successfully by mixture modelling, i.e., the probabilities corresponding to two models are similar. For the rest, the histogram can be described by a single Gamma function, i.e., the probability corresponds to one of the distribution is small. Group B has something similar too. In that case, how could I compare the coefficients between two groups?