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Any human problem has a multicriteria nature. In most of cases at least technological, economic, environmental and social criteria should always be taken into account. Multicriteria problems are therefore extremely important and request an appropriate treatment. Decision analysis is a valuable tool for resolving the problem, as it is characterized by multiple factors, criteria and objectives. MCDM problems generally include the following components: goal, decision maker preferences, alternatives, criteria and results respectively. In this paper we are going to examine some of the main multicreteria decision making methods thoroughly both from a theoritical and a practical aspect. A part of this paper is not only to present the methods, but to emphasize the greatness and the usefulness of them. I aim to present AHP, promethee, Topsis and Vikor by describing their characteristics including the procedure they use. Furthermore, I am going to compare all the methods to examine if the final result is the same but also if the method itself is friendly to the user and provides an accurate solution to the decision maker. For making this happen I created my own problem in which the decision maker has to choose a new smartphone to buy. I searched online and found ten brand new mobile devices and I set them as my options. After that, I picked seven criteria in which my problem is going to use, according to the most popular characteristics a user wants in his cellphone. In the end, I put together all of the information above. The same information are going to be used to every experiment I make in any method to find out which smartphone is better for a user.