I am having some doubts on whether I should use binary or multinomial logit. I am modelling product choice. The dependent variable is the choice of either shampoo or toothpaste. Although my dependent variable has two outcomes, I am wondering whether it is appropriate to use multinomial logit instead of binary.
The case is that the customer does not choose among these two products, but among the whole assortment. And I have taken a sample for only 2 products. Do you think I should use the multinomial logit?