I am looking to generate a continuous normally distributed random variable with a given MEAN and SD for two groups. Is there a systematic way to generate two such groups with N number of cases so that their odds ratio in a logistic regression would be predictable? In my case I am looking for OR=1.5 but any other number would do.
Two normally distributed groups is the idealized case. If there are other distributions that I can use to solve this problem I would love to hear about them as well.