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The paper demonstrates one of the possible ways to measure efficiency of administrative bodies on an example of hygienic stations in the Czech Republic. The literature search provides a historical overview of development of modern methods to measure efficiency and a general concept of efficiency is defined, including the fixed technical efficiency (FTE) used in the calculations. To calculate FTE by means of DEA a set of data inputs was used generated from financial statements of 13 regional hygienic stations in the Czech Republic and the hygienic station for the Capital of Prague from the period 2003 - 2008. The actual calculation consists of a series of steps, from allocation of weights to the individual outputs, grouping of inputs and outputs according to the mutual correlation, correction of the data according to the inflation rate, selection of the production function for the hygienic stations up to the calculation of the dependence of the weighted inputs and outputs. The latter step involves creation of a graph with a correlation field, while its shape indicates the relationship between inputs and outputs, calculation and proposal of a suitable type of production function, calculation of the correlation coefficient as the coefficient of determination, calculation of the production function, which is then rotated so that it becomes the tangent of the highest point of a graph and thus we get the function and envelope curve values (i.e. FTE). Thus a new constant is established (angular coefficient). By comparing the actual level of the output achieved with the corresponding point on the curve we can find the degree of efficiency of the individual measurements, i.e. the degree of efficiency of performance of the individual hygienic stations. The achieved results justify the assumption that the DEA is a relevant method to determine FTE as a tool to assess efficiency of state institutions on the example of the Czech hygienic stations.