I try to analyze firms´ investment decisions. In my dataset 70% of the firms choose to invest 0 $ . 30% invest more than 0. (continuous variable). The data of the 30 % is log normally distributed.
Which model is recommended for such data structure? OLS, tobit or glm model? Or even something else?
First I thought a Tobit model would be appropriate but I then I gave up this idea due to the log 0 problem.