Do you have any suggestions of comparing binomial logistic regression models with multinomial logistic regression models and to find which one is the better? Thanks ... View more

HI, Reeza, Thank you for your valuable suggestion.   I have used 2*2 tables to calculate specificity, sensitivity, and accuracy of the binary logistic regression models. But I am not sure how to use them for the multinomial regression models (my aim is to compare binomial model with multinomial regression model)   I have looked into AUC, do you have any suggestions where I can find more details of how to use that method in SAS/STAT basic version. Is ROC the same as AUC?   Thankx   ... View more

Thank you for your valuable suggestion. This is an Ordinal dataset. Here I have mentioned only the fraction of my dataset. In the original dataset, I have more than 20,000 data rows. I have developed both binomial and multinomial regression models using "proc logistic" and the both models are significant. But I need to select one model which has a better prediction power and which is most suitable for the given dataset.   I cannot use Vuong test because this test requires that both models are fit using exactly the same set of response values. However, my response variables are not the same.            ... View more

Hi, Reeza, Thank you so much for your quick reply. Yes, it is a count and Poisson models or Generalized Mixed Models would be one of the approaches to predict the count. But in my area of research, we use logistic regression to develop case-control models. Following I provide the brief description of my data and how we analyze them.   Original dataset (This is used to develop multinomial logistic regression models) Road Segment Number of Crashes Daily Traffic (number of vehicles) Segment Length (miles) 1 0 100 0.5 2 0 1050 0.8 3 1 2100 1.2 4 2 2500 2.1 5 0 950 0.6 6 3 3000 2.3 7 2 2400 1.8 8 1 1800 1.1 9 0 1150 1 10 4 4500 2.9 11 5 4600 2.9 12 0 800 0.35   For the binomial logistic regression, we assign 1 for the crash segments which are not 0 as follows Road Segment Number of Crashes Daily Traffic (number of vehicles) Segment Length (miles) 1 0 100 0.5 2 0 1050 0.8 3 1 2100 1.2 4 1 2500 2.1 5 0 950 0.6 6 1 3000 2.3 7 1 2400 1.8 8 1 1800 1.1 9 0 1150 1 10 1 4500 2.9 11 1 4600 2.9 12 0 800 0.35   What I need to know is after we develop models using these two methods, how to find the model which has the better fit toward the dataset.    Thanks ... View more