Subject to the policy of Bureau of National Health Insurance, doctors are mainly the decision makers of prescription medicine. They have hence been targets of most research focusing on decisive factors of using prescription medicine and marketing strategies of medication. Nonetheless, once patients decide to purchase self-paid medicine, what will be the factors they consider and are those the same with the doctor's? The purpose of this thesis is to analyze the factors of self-paid medicine targeting on the purchase of Glucosamine through the statistical methodology of DEA-DA (Data Envelopment Analysis-Discriminant Analysis) by which a predictive model is set up.We have found that in this research, there are six decisive factors which affect self-paid medicine purchasers. The order of the discriminant parameter is as following: doctor's recommendations, relative and friend's recommendations, the media, advertisements, health care and medication efficacy. The results are fairly different from those of doctor's consideration based on the medicine's safety, efficacy, convenience, economy and the pharmacist's service and reliability.