I am performing a meta-regression of nine studies that look at cancer risk vs level of substance in the drinking water. Each study has a reference strata and one to five higher strata. The studies have quite different ranges of exposure. I have run the glst program in STATA which is a random slope model, and I have run the Meta-dose program in SAS which is a random intercept model. My results for fixed models are identical; my results for random model are quite different. One shows a highly significant positive coefficient and the other shows a non-significant coefficient. Do I want the random slope model or the random intercept model, and Why? What are the differences in interpretation? Is there a model in either program that is both random slope and random intercept? Why would i want to do that, and how would I do it?
Thanks, Steve L