Suppose I have the return information for two reverse logistic companies--See example data. For certain groups companies A and B each receive 50% of the work from a client, but for another group company A receives 60% of the work and company B receives 40% of the work. They are assigned work from clients based on the last digit of an account number and are told it is random.
- Is there any way to find out that the account numbers are really randomly assigned?
- How would I prove/disprove to someone if one company is actually doing better than another company or if it is probably random chance that one company's rate of return is ever so slightly better than the other company's? My initial thoughts are a t-test or chi-squared test, but in some groups the data isn't evenly divided between the two companies and the data isn't normally distributed. EDIT: In samples of the data the amount of work isn't evenly divided between the two companies and the rate of return isn't normally distributed.