The use of mathematical methods of diagnostics as a factor of effective management of a medical organization

Introduction. This article introduces the main mathematical methods of diagnosis of diseases. At first, based on the study of the issue, it is concluded that the task of diagnostics is the most important task for the implementation of effective activities of any medical institution. Methods. Further, in the theoretical part, the main diagnostic models are formulated, such as discriminant analysis and taxonomy (cluster analysis). Then methods of discriminant analysis are applied for the diagnostic system, which allow reducing the medical problem to a system of linear inequalities, using the method of decomposition of the function by basic functions. Results. At the end of the article, important conclusions are made that iterative methods for solving this problem are grouped mainly around the linear correction method, and final methods are grouped around the simplex method. The issue of using decision rule collectives in application packages is also discussed. Further, as a practical part, we consider the application of the described methods to a specific medical task, namely, the diagnosis of primary headaches by signs. To solve the problem, we construct the decisive rules that are the result of discriminant analysis. For these purposes, the Committee method is enabled, and other methods are used in comparison with it. The results show better predictive power for the Committee method. Conclusion. In the conclusion the author about kind of the specifics of management of medical institutions, and highlighted the criterion of a correct and timely diagnosis - as one of the main, lets talk about the efficiency of management from the point of view of public health that is Central to an integrated approach of evaluating the effectiveness of medical organizations.