I have fit several generalized mixed models for a multinomial distribution data in SPSS.
I want to select the best one for explaining my data. But comparing the AIC and selecting the lower AIC model gives me a model without sense and its accuracy is lower than others with higher AIC.
I want to test if there is any statistical difference between the AIC of the different models, because maybe the values are not statistically different and I could select another model with higher accuracy. Do you know how to do that? E.g.:
AICa= 1193 (accuracy 81,3%), AICb= 1273 (88,5%)
I know that with R you can test the differences between models, but I can't develop a generalized mixed model with multinomial function in R. Is that possible in SPSS?