I have an experiment where I am trying to see if a drug has a biological effect that is significantly different from vehicle. Activity is measured before and after treatment.
For treatment, I have vehicle (control treatment), drug 1 and drug 2. Vehicle has a significant effect on activity (post activity is greater than baseline). Drug 1 also has a significant effect on activity (with post activity even greater than it's baseline). Lastly drug 2 has no effect of activity (post activity is no different than baseline) I now want to compare these effects to each other. I.e. say that drug 1 increases activity even more than vehicle and that drug 2 effectively suppresses activity since it did not increase activity as seen with vehicle.
The interaction term in a mixed linear model will tell me that that these drugs have different effects on activity compared to baseline, but I want to specifically compare the change from baseline of drug 1 and drug 2 to vehicle. Do I need to run 2 models? One with drug 1 vs vehicle, and another with drug 2 vs. vehicle? I have the model's estimate of mean difference (baseline to drug or vehicle) and st error. Could I use this to do a T Test? I am using JMP if you have specific suggestions.