Modification of the Fechner method to increase the robustness of data analysis

The article proposes a modification of the criterion for the consistency of the deviations of the values of the Fechner’s features by replacing the arithmetic mean with the median. Situations are given in which the use of the Fechner’s median criterion is expedient. The test example shows the difference mechanism for using the median instead of the mean value when evaluating the correlation with this criterion. Based on the data on long-term observations of the results of athletes of different ages in the Irkutsk region, obtained by the authors in previous works, experiments were carried out with arrays of different sizes. The difference in the stability of the median Fechner method and the classical one is shown, both under conditions close to the normal distribution and in the presence of an insignificant amount of outliers in the sample data. Including analyzed the behavior of the traditional and modified criteria for small samples.