Abstract <p>The work is devoted to the study of the topochemical kinetics of solid-phase chemical reactions of ammonium fluoride processing of ash and slag waste from thermal power plants and is carried out with the aim of testing the developed technology on raw materials that are relevant for the Amur region. Previously, the objects of development of this technology were silicate and aluminosilicate raw materials from both the Amur region and the Russian Federation. Calculation of the kinetic parameters (rate constants, shape coefficients of kinetic curves, activation energies) with subsequent determination of zones and reaction equations is carried out using the method of parametric regression and correlation analysis with five parametric functions (power and exponential laws, the Erofeev–Avrami equations, three-dimensional diffusion and compressible volume), the choice between which is carried out based on the minimum approximation errors for each temperature. The calculation is then accompanied by the calculation for a given temperature of the statistical characteristics of the selected regression model and the testing of five statistical hypotheses: Fisher’s hypotheses about the homogeneity of the variance of reproducibility and the adequacy of the regression model, as well as Student’s hypotheses about the significance of the regression coefficients, the practical value of the response function, and the significance of the correlation coefficient. The calculations are performed using a program created by the authors in Visual Basic in the interactive software development environment Visual Studio Community 2019.</p>